diff --git "a/data/dm_maths/full_data_2/2019_11255.jsonl" "b/data/dm_maths/full_data_2/2019_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2019_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -11*i + 260 + 378 = 0. Let h = i + -58. Suppose 4*v = -4*o + v + 11, 4*o - 3*v - 29 = h. Solve -5*w + o*s = -2 - 23, -3*w + s = -7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -101, -226, -399, -620, -889, -1206?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2551 - 2550.94. Which is the nearest to 1\/4? (a) j (b) -4\/5 (c) 0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**4*c)\/(c\/(c\/c**5))*c\/(c**(-2\/7)\/c*c*c)*c\/(c\/(c\/c**(-7))))\/(((c*c**(-6))\/c**(-4))\/((c\/(c*c*c**(1\/2)))\/c*c*c*c**(-2))) assuming c is positive.\nAnswer: c**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c**3 - 3*c**2 + 5*c + 3. Let h be y(2). Let j be 138\/(-1)*28\/56. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 5*j - 3*j + (0 + 3 - 2)*(2*j + j + 0*j) to v + y*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 377\/46 + 3653\/138. Which is the smallest value? (a) -20 (b) -4 (c) q (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 4)\/(-1) + 3. Find the first derivative of x*r**3 + 4 - 3 + 1 + 3 wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20 - 13)*(-12)\/(-14). Let q = 16 - 6. Let s = q - t. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 2*a**2 - 15*a**5 - 21*a**4 + 4*a + a + 23*a**2 - 20*a + 9*a**3 = 0 for a.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53075489?\nAnswer: 199, 266711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*c**6 + c**4 + 1118*c**3 + 205*c**2 + 1358*c?\nAnswer: -6600*c**3 + 24*c + 6708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*u**3 + 263*u**3 - 1098*u**3 + 294*u**3 + 272*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 1:03 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 67 = -117. Suppose 6*c - f = 20. Suppose -u + 0*j = -j - c, 0 = 2*u + 2*j - 22. Solve -u = 3*d + d + 3*q, 0 = -3*d + q + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 46 = 158. Let h = -14 - -24. What is the remainder when w is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1278, -974 in decreasing order.\nAnswer: 1278, 2, -974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(147\/(-196)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 7:15 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2160 or 538\/11?\nAnswer: 538\/11","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/21, -6\/5, -10, -1\/7?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 81 + 69 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/20*(-28)\/((-2436)\/1595).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*j + 5*y, -2*j + y + 11 = -2*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 2*i**3 + 0*i + (0 + 3 - 1)*(-5*i**2 + 2*i**3 + 5*i**2) - 2*i**3 - 3*i**3 + i**3 + 7*i**3 + i**2 + 47 + 40*i + 17*i - 56*i.\nAnswer: 9*i**3 + i**2 + i + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1208 + -1228. Let q = -17 + 7. Let g = 12 + q. What is the nearest to x in -0.1, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 184 and -82.98.\nAnswer: 101.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 16. Let v(o) = -3*o + 11. Give -5*f(i) - 7*v(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*m**4 - 20*m + 1.\nAnswer: -1980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00416269163 rounded to 5 dps?\nAnswer: 0.00416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*5*(sqrt(104) + sqrt(104)*1 + sqrt(104)))\/(2*sqrt(72)*2).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*o - 16 = 0, m + 4*o + 4 + 15 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 x when four letters picked without replacement from nxnnnqnnxxxxxxnnnnx.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 15*o**2 - 5*o - 4. Let d be j(7). Let g(i) = i - 3. Give g(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 89*v - 13. Let w(p) = 44*p - 6. Let j(q) = -2*c(q) + 5*w(q). Let f be j(9). Suppose 240 = 2*n - f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 93 = -u, 4*u + u + 245 = 5*k. Let m be 6\/k*6 - 1. Which is the closest to -1? (a) -1\/2 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((3\/(-1))\/((-10)\/5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 4.6633?\nAnswer: -6.06229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**2 - 3*c - 1. Let x be b(-1). Let g = x - 6. Put 4, -1, g in decreasing order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.47 or -216?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42778.\nAnswer: 2, 73, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 2, -104, -2.\nAnswer: -104, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4244155060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/2)*w*w)**(-2\/23)*w**8\/(w\/w**(1\/6)))**(-39) assuming w is positive.\nAnswer: w**(-12467\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -4?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -282 + 286. Solve 0 = -x + 5*y + 14, -y - y - 2 = -o*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369350.\nAnswer: 2, 5, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10082539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18668949 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -32*n**3 + n**2 - n. Let l be s(1). Let y = l + 34. Find the second derivative of 7*z**5 - 14*z + z**2 - 3*z**2 + y*z**2 wrt z.\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, r: 9}. Give prob of sequence qqq.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**5 - 3260*y**4 + 469460*y**3 + 20190240*y**2 + 188732160*y + 511211520 = 0.\nAnswer: -24, -6, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -5*v - 4 - 19, -3*g - 4*v = 25 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29.8? (a) -0.03 (b) -0.06 (c) 2193 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 2*h + 11. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/2*(-18 - 128) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 + 821 = 3*b + 4*r, 0 = -3*r - 12. Suppose -3*l - b = -5*k, -l + 0 + 3 = 0. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -263, -397, -549, -725, -931?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12*4\/(-32)*-4 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483887.3ml to litres.\nAnswer: 483.8873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/2 + 3*k**2\/2 - 96*k - 96 = 0 for k.\nAnswer: -8, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22510 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75.59 - -77.59. What is the nearest to 0.1 in 1\/26, c, 1\/2?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**2 - 16663 + p + 16663 + (1 + 0 + 0)*(-p**2 + 3*p**2 - 3*p**2) in the form m + f*p**2 + w*p and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1577 and 131804?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6)*(-1 + 1))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/20 - g**4\/24 - 4*g**2. Let b(f) = -326*f**2 + 224*f**2 + f + 103*f**2. Calculate 4*b(o) + 4*l(o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*y + 20*y - y in the form k*y + v and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 3)*11*(-2)\/(-22). What is the nearest to x in -1, -0.3, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*x - 53*x - 45*x)*(0*x - x**2 + 0*x)*(195 - 19*x - 195).\nAnswer: -1197*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5548 - -11e?\nAnswer: 5666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 4, -7, -22?\n\"Answer: -2*c**2 - c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**3 + d**4 + 0*d**3)*(-3 + 0 + 2) - 20*d**4 + 47*d**4 - 25*d**4 to j*d**2 + w*d + y + t*d**4 + c*d**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 37*l**2 + 3577*l - 132339. Determine a(37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -16*w + 10. Let d(m) = -m**2 + 4*m - 3. Let s be d(3). Let c(n) = 12 - 9 + s*n - 5*n. Let z = -90 - -80. Calculate z*c(f) + 3*j(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14\/15)\/((-48)\/18) and 3\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74311, 74201, 74091, 73981, 73871?\n\"Answer: -110*q + 74421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 571\/3 + 0 - (-7)\/(-21). Let l be (-140)\/(-6)*456\/r. What is the highest common divisor of 28 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 6, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u - 5. Suppose 5*t - 10 - 5 = 0. Sort 0, t, u in descending order.\nAnswer: u, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -47. Suppose v - 8 = -4*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6078112 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198*t - 1240 = -1322*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgpzdzpdzzgzzzdzzp. Give prob of picking 2 d and 2 p.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -1) + (12 - (28 - 12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/27 (b) -24 (c) -17536 (d) 0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14946.1 + 14945. Is w smaller than 224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, and 2 m when four letters picked without replacement from {l: 7, m: 4, d: 3}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 - -110. Let k be -4 + 1 + -7 + n + 8. Solve k = 3*i - 9, -2 = 3*m + 4*i + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 11:24 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41269598681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-942)\/(-22) - 34\/(-187). Let c = y - 42. Let f(u) = -u**2 - 1. Let t(o) = -1 + 4 - 6 - 3*o**2 - o**3. Give c*t(k) - 3*f(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 20*u - 35. Let s be z(2). Solve -4*m + 5*r = 14, s = -4*m - r + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 865242 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**3\/2 + 3*o**2 + o. Let b be k(4). Let q(l) = l. Give q(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s**2)**(-49) assuming s is positive.\nAnswer: s**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*g + 305*g + 90 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/15)*s**13*s**(-2\/7)*s*((s**(-11)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 117 = -3*p, -2*p = -0*o + 4*o + 78. Let q be 2903\/(-52) + 6\/p. Let f = q + 510\/13. Calculate the common denominator of f and 43\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, -5, 4, -15048 in ascending order.\nAnswer: -15048, -5, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25120701.\nAnswer: 3, 47, 59387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 9 + i - i**3 + 4*i**3 - 2*i**3 in the form c*i + b + k*i**2 + p*i**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41043 and 3?\nAnswer: 41043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 383921 and 154051.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-6 + 1 + 11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w = -41*w + 2*u - 19, 23*u - 169 = w - 16*u + 15*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*y**3 + 687*y + 83*y**3 - 65*y as k + s*y**3 + m*y + c*y**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + -0.04. Let k be 53\/53*(3 - 11\/4). Let y = -4.5 - -0.5. Which is the second smallest value? (a) k (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*n + 46*n - 47 - 21*n)*(4*n**4 - n**4 - n**4).\nAnswer: 6*n**5 - 94*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1194617461*k**3 - 417724268*k**2 wrt k?\nAnswer: -7167704766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 1. Let d(t) = 75*t**2 - t + 2. Let q be d(1). Let l = -76 + q. Give a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895151993 + -0.52?\nAnswer: 1895151992.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*d - 10 = 0, -297*j + 3577 = 272*j + d + 727 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65 - 44?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z - 45. Calculate h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 divided by -61?\nAnswer: -258\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*g + 46, -5*g = -5*q - 2*g + 95. Let f be (24\/16)\/(3\/4). Suppose -f*m = -69 - 41. Calculate the highest common factor of m and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 812179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Suppose 6 = -2*b, c - 84 = b - 3*b. Let a be 2\/8 - c\/168. Which is bigger: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 29*u = 20*u - 272558. List the prime factors of u.\nAnswer: 11, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f + 3. Let z be (f\/(-3))\/(9\/45). Let g = 2 - z. What is the third biggest value in -3\/2, g, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -3\/5 (c) -5 (d) -0.2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -721 + 5767\/8. Which is the closest to 1\/205? (a) 0 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 400, 35, -10 in ascending order.\nAnswer: -10, -5, 35, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 136?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0258 + -104.2742. Let s = -126.3 - -16.3. Let b = r - s. What is b rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 15 + (4 - 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*q - 2*c, 7 - 2 = c. Let j(d) = d**3 + 2*d**2 - 2*d + 2. Let f be j(q). Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 20 = 4*n, -7*n = -3*m - 6*n + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 457462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 40635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600460 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**5 - 1146 - 14*q**4 - q**2 - q - 258*q**4 + 4461 wrt q?\nAnswer: 80*q**3 - 3264*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 k when three letters picked without replacement from pxkrkkpxkkykkxxkkkk?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/(-2) - 5\/(-10) - 3. Suppose w = -d*c + 717, 4*w + 432 = 2*c + 78. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 5*d - 117, 0*d = -h + 4*d + 263 - 351 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 438, 590, 718, 822, 902, 958?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g + 6. Let y(c) = -7*c - 7. Let j(l) = 5*y(l) + 6*z(l). Let d be j(1). Solve 1 = d*x + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/10, 41, 2\/7, -1002.3?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.68811 - -4.\nAnswer: -9.68811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8877628031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbb when three letters picked without replacement from {x: 1, b: 2, m: 3, s: 4}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-164))\/(426\/568).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20094981.\nAnswer: 3, 283, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - -5*(sqrt(153) + sqrt(153) + 2*sqrt(153) + sqrt(153))))\/(sqrt(144) + (1*sqrt(144) - sqrt(144)) - sqrt(9)) + 1.\nAnswer: -25*sqrt(17)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 7. Suppose 3 - 23 = -4*g. Let r be c(g). Factor -1\/5*j + 0 + 1\/5*j**r.\nAnswer: j*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48a9 (base 14) in base 8?\nAnswer: -30625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94647746 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1000 = -8*n. Suppose -3*r + 8*r = 2*i + 560, -4*i = 2*r - n. What is the greatest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50657.\nAnswer: 179, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -3 + 0 + (0 - -538). Does 33 divide (l\/(-10))\/(-1) + (-26)\/(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8019037ml?\nAnswer: 0.0008019037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -1\/6*y**6 + 0*y**5 + 5 + 0*y**4 + 0*y**3 + 0*y + 5\/2*y**2. What is the second derivative of g(a) wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/4 (b) 0 (c) 9 (d) -1173 (e) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 3813198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -66430, -4, -2\/5 in decreasing order.\nAnswer: -2\/5, -4, -66430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from gggggggjjgggggjjgg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/4)*a\/(a*a**32)*a*a)**(-21) assuming a is positive.\nAnswer: a**(2625\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80, -69, -50, -23, 12?\n\"Answer: 4*s**2 - s - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 - (0 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205.7 - 205.90895. Let d = 0.21 + w. What is d rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 10\/(3 + -1). Suppose -2*k = -l*k + 6. Let u be 0\/(k\/6*2). Put u, -1, 1 in ascending order.\nAnswer: -1, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26728153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535392\/14 - (10 + 335\/(-35)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwocjwwjwojwjwowwc. What is prob of sequence jo?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + (sqrt(684) - (sqrt(684) + 1) - sqrt(684)) + 2 + sqrt(684) + (sqrt(684) - -1*sqrt(684))*4)**2.\nAnswer: 108*sqrt(19) + 55405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 18. Let u = 22 + b. Suppose 5 = -u*j + 19*j. Let q(v) = 2*v**2 + 4*v + 6. Let p(c) = 2*c**2 + 5*c + 7. Calculate j*q(t) + 4*p(t).\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/8 and 37\/146366.\nAnswer: 585464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-28) + (3 - 156\/7). Let q = 35 + s. What is the greatest common divisor of 208 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1737115*g + 7346339.\nAnswer: 1737115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 6028\/39 (c) 4 (d) 1\/4 (e) -2\/9 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -13*b**4\/3 + 245*b**3 + 1411*b**2. What is the derivative of m(v) wrt v?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 905 divided by 139.\nAnswer: 905\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3826666 and 83317?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*x + 99*x + 54. Let s(p) = 5*p + 7. What is s(x)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-451\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1804247 and -1804247 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b1a5ed + -3?\nAnswer: 3b1a5ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -118 - (335 + 300 + -652)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 15*k - 18. Let g be u(2). Suppose -4*m - g = -2*s, m - 2*s = s + 7. Which is the closest to 0? (a) m (b) 46 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 28. Differentiate 4*g - 8*g - s*g**3 - 13 + 4*g wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71663584811715.0199959 - 71663580999912. Let d = 3811804 - q. Let s = d - 0.98. What is s rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10919280 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, -3, -0.5, -0.07, 0, 1479?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20850044?\nAnswer: 2, 61, 85451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13ed3 (base 16) to base 4\nAnswer: -103323103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7367292, -7367297, -7367306, -7367319, -7367336, -7367357?\n\"Answer: -2*h**2 + h - 7367291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/101 in -2\/11, 2\/5, -4\/3, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + 15 + -4 + (31 - 35) + (-6 - 0)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 3:39 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 3235?\nAnswer: -3245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.706697 rounded to 1 decimal place?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 5)*(-50*n + 137*n - 41*n - n**2).\nAnswer: -4*n**2 + 184*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1871782 is divided by 24957.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39, -81, -125, -171, -219?\n\"Answer: -t**2 - 39*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 6*w + 11. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368190939 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 76, 230, 1, 3 in decreasing order.\nAnswer: 230, 76, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 279, 2\/17, 349, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153405 + 11?\nAnswer: 153420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 67, 86, 89, 70?\n\"Answer: -p**3 + p**2 + 33*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q = -61*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7699?\nAnswer: 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1025 or -1027?\nAnswer: -1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -46*a + 48. Let c be (3 - (2 + 1))\/(-3). Calculate the least common multiple of i(c) and 88.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4480 divided by -80\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (431\/(-1724))\/((90\/40)\/(-3)*9\/5).\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 30 = -2*i. Find the third derivative of n**2 - 4*n**3 + i*n**3 + 0*n**2 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 3*m, 2 = -x - 4*m - 1. Let p be 18\/54*0\/x. Suppose 0 = v - 4*j - p*j - 17, 0 = -v - 3*j - 11. Solve v + 0 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4766 or -4761?\nAnswer: -4766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286272 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 15*t - 12. Let o be z(14). Suppose -7*i + 85 = -o*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38523 - 134123. Round l to the nearest 1000.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 643 - 628. Let c be (-688)\/(-6) - (-4)\/(-6). Suppose -c = -3*g - m. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and -167\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 6*j**2 + 19*j**3 - 3*j**2 - 20*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6) - (-10)\/4. Let r(d) be the first derivative of 2 + 1\/3*d**i + d**2 + d. Solve r(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 11 + -1 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 145. Determine v(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 13*t + 14. Let s be c(-14). Solve -d + 2 = -2*k, 7*d - 3*d - 2*k + 10 = s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 4*n**2 - 2. Let p(s) = 3*s**3 + 11*s**2 + 5. Let b be ((-26)\/65)\/((-4)\/10)*11. Determine b*o(y) + 4*p(y).\nAnswer: y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/120 + 13*k**5\/60 + 3*k**4\/4 - 53*k**3\/6 - 2826*k**2. Determine u(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f. Let o be -28 + 103 + -23 - (1 - 9). Let b(v) = -v**2 - v. Determine o*b(z) + 6*i(z).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - -64 - -2 - 58?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12878333.3 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43386244519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158*w + 203*w - 232*w to the form f + v*w and give v.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/12 - l**4\/6 + l**3\/3 - l**2. Is 7 a factor of u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*b**2 + 185*b**2 + 247*b**2.\nAnswer: 330*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -149527366 divided by 206?\nAnswer: -725861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 53.\nAnswer: 3.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73639 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/4)\/((-6)\/220) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-16))\/(-12 + (-19667)\/(-1704))?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.610225 - -28.59. Round p to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h + 2*h**2 - h**3 - 3\/8*h**4 - 1\/60*h**5 + 0. What is the units digit of j(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.6. Let h = -0.9 + p. Let m = -0.8 - h. Is -2\/17 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyyyeybeyydybdde. What is prob of picking 1 b and 1 y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1784*s**3 + 1784*s**3 - 40*s**5 + (4*s - 4*s - 2*s)*(2*s**4 + s**4 + 0*s**4).\nAnswer: -46*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(11 + -6 + -6). Let a(l) = -l**2 + 5*l - 3. Let f be a(s). Solve 0*n - f = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*q = 184*q - 9009 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5376\/5 in -0.2, -0.111, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 103.6, 4, 11?\nAnswer: 103.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z = 59*z + 240 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -4*w + 12, -5*w + 22 - 7 = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 14*x - 100. Let k(t) = t**3 - 4*t**2 - 6. Calculate k(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**(-2\/29))\/m)*m\/(m\/m**(1\/9)))\/(m**(2\/21)\/((m**19*m)\/m*m*m)) assuming m is positive.\nAnswer: m**(40097\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/37*(-16)\/(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 403 - 13?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 + 14 = 0. Suppose 0 = 2*o + 3*x - 78, 0 = -o - 2*o - v*x + 114. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 87090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1115108837 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.08 - 13.333. Let l = -0.93 + f. Let b = 0.043 + l. Round b to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/3 - 7\/39. Let q = -0.1101 - -0.0101. Suppose 4*p - 12 = -3*o - 0, 5*p + 8 = 2*o. What is the biggest value in q, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46, 197, 450, 805?\n\"Answer: 51*m**2 - 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5214062951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y - 1561 - 272 = -16*y for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5474081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 46*t + 1129. Determine l(-27).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 566969 = -2*m + 566859, -3*u + 55 = 5*m - 2*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428163 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.915 + -0.085. Which is the nearest to x? (a) 3 (b) 2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-2\/33))\/d*d)\/d)\/(d*d**(1\/2))*d**(-2\/69)\/(d\/((((d**(-2\/27)*d*d)\/d)\/d*d)\/d)))**(-7\/10) assuming d is positive.\nAnswer: d**(48629\/27324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5070 times 0.58\nAnswer: -2940.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 718663241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/n**(-5\/4)*n)\/n*n)*n*n**(-1\/4)\/n)**32 assuming n is positive.\nAnswer: n**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188562 is divided by 118854.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*x + 283*x + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31888 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.145705 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6526\/17 - 384. Suppose -13 = -3*r - 1. Which is the biggest value? (a) r (b) -2\/43 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3093428 is divided by 5793.\nAnswer: 5759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7770 - -7770. Let m(v) = -v**2 + 4*v - 37. Determine m(t).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - 1*sqrt(52)) + (sqrt(13) + (-4*sqrt(1872))**2 - sqrt(13)).\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32477 - 40345. Round g to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31)\/(-1 - 0 - -2). Let y = -15 - b. Let a(h) = 12*h + 192. Let n be a(-16). Solve n = -0*d - 4*d - y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189 - -189. Factor 0 + q*o**2 + 2\/9*o**3 - 2\/9*o.\nAnswer: 2*o*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3 - 10612*a**2 + 16*a + 42448 = 0 for a.\nAnswer: -2653, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1584 + 1587. Solve l*o + 3 = -n + 10, -5*o - 4*n = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*r - 703*r + 10*r - 81*r + 243*r**2 wrt r?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-3 + 8)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 333840 and 1560?\nAnswer: 333840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11050362 - -12?\nAnswer: -11050350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23554, -39723, -55892, -72061?\n\"Answer: -16169*z - 7385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -44. Suppose -j = p - 4*t, 2*p - 2*t + 0*t = 6. Solve p*i + 5*l + 10 = 0, 8 = -0*l - 2*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2678086, -2678064, -2678042, -2678020?\nAnswer: -2677998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16246973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -77 and -999.\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -275, -538, -801, -1064?\n\"Answer: -263*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 165557150 to the nearest 100000.\nAnswer: 165600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90, -95, -104, -117, -134?\n\"Answer: -2*q**2 + q - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*p - 28*p - 26 = -8536 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 565835725?\nAnswer: -565835718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 68 - 66 = -2*k, 0 = -5*m + 2*k + 2. Sort -3, m, -17, 1.\nAnswer: -17, -3, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 plus -0.07?\nAnswer: 177.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/15 + -3)*55\/(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110110001000000010111 (base 2) in base 9?\nAnswer: -21107822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 3 (c) 2\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -602221, 12, 3 in descending order.\nAnswer: 12, 3, 0, -602221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.2 (c) 0.17 (d) -96\/25 (e) -4\/7 (f) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -v, -5*b - v + 276 = 264 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*((-1)\/(-5))\/(-13 - -7). What is the second smallest value in -1, 0.3, o, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980579530 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24492, -48660, -72508, -96036, -119244, -142132?\nAnswer: -164700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 5*p + 3. Let c be x(-6). Let m = -5 - c. What are the prime factors of 1\/(-3)*18\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and 0.225382049.\nAnswer: 0.215382049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 = 6*c + a, 8 = -2*c + 4*a. Suppose 7*o - 50 = c*o. Let g be -3*((-1)\/3 + -1). Solve -5*u = g*b + 37, 4*u + o = -u + 5*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46555*x**2\/4 + 69804*x + 171.\nAnswer: -(x - 6)*(46555*x + 114)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 4. Let r be z(3). Let y(g) = 2*g**2 - 4*g. Let j(x) = -x**2 + x. Let f(n) = r*j(n) + 3*y(n). What is the second derivative of f(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/5)\/(g**(3\/5)\/g))\/(g**(2\/5)*g)**44 assuming g is positive.\nAnswer: g**(-313\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0 + 0)*(-10*j**2 + 10*j**2 + 4*j**3 + (-3*j + 2*j + 0*j + (1 + 4 - 3)*(4525 - 4525 - 40*j))*(-3*j**2 + 2*j**2 + 2*j**2)).\nAnswer: -154*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20796.1 and -68.\nAnswer: -1414134.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 divided by -15?\nAnswer: -326\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 20 = -2*v + w, 2*w + 14 = -3*v. Let x(t) = t**3 + 7*t**2 + 6*t + 4. Let h be x(v). Let k be 10 + 1 - (2 - 6). Solve -5 = -h*i + k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95\/11*h - 2\/11 - 47\/11*h**2.\nAnswer: -(h + 2)*(47*h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 272, 254, 244, 248, 272?\n\"Answer: j**3 - 2*j**2 - 19*j + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from mmgmmgmllmlgg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14*-13.1957\nAnswer: 184.7398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-115)\/(-30) - (2 + 26\/(-12)). Solve 2*f - u = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(sqrt(99)*-4 + 2).\nAnswer: -360*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Let g(u) be the first derivative of -u**2 - 2*u + 2*u**d + 5 - 4 + 0. Differentiate g(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and -429.\nAnswer: -643.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Let q(m) = 7*m**2 - 6*m. Let o(w) = 5*w - 1 - 3 + 4 - 6*w**2. Let d(b) = -6*o(b) - 5*q(b). Determine d(h(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33813, -33844, -33879, -33918, -33961, -34008, -34059?\n\"Answer: -2*h**2 - 25*h - 33786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5668562, -11337128, -17005696, -22674266, -28342838, -34011412, -39679988?\n\"Answer: -l**2 - 5668563*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -99*k - 2201. Calculate x(-24).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 6, -209, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 2:24 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 - 0.8. Let v = -4.131 - -3.77. Let d = v + 0.161. What is the closest to p in d, -13, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16 + -1)*13\/(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63335 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(120\/(-32)) + 1*-2. Let d(w) = 13*w**2 + 6*w - 3. List the prime factors of d(s).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4803?\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 11*z**2 - 9*z + 12. What is the units digit of q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.61 - 0.09. Let x = d + 2. Let b = 7282.1 - 7282. What is the biggest value in -1, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54521996129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4064226 or 4064225?\nAnswer: 4064225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -344 or -5521\/16?\nAnswer: -344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 56. Let h = 31 + t. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 + 2?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38187 is divided by 19082.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + sqrt(7) + -1 + -3 + -4)*4 + 3)**2.\nAnswer: -360*sqrt(7) + 2137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174264090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 1:04 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -4, -6, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -7. What is the nearest to k in 0.3, 2, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229547023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-11))\/(6\/396*6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(2676\/(-668) - -4). Suppose -l + 5*m - 14 = -63, c = 3*l - 5*m. Let x = -42 + l. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, 8\/12751, 0.8, 2 in descending order.\nAnswer: 2, 0.8, 8\/12751, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 302 = -4*a, 0*a - a + 71 = n. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -2*z**7\/7 - 7*z**3\/3 + 2. Find the third derivative of w(y) wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let f(t) be the second derivative of 11*t**4\/12 + 3*t**2\/2 + 9*t. Let j(l) be the first derivative of f(l). Determine w(j(r)).\nAnswer: -44*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 7*u**2 + 4*u - 7. Suppose 11 = -3*d - 7. Let k be s(d). Suppose -k*j = -0*j. Are j and 1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 23*j\/5 + 108\/5.\nAnswer: -(j - 4)*(j + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57a3 - -751?\nAnswer: 6444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -11 + -5 + 9 - (0 + 4 + -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -959.5 + 1237. Let j = k - 277. Put -5, -1, 12, j in ascending order.\nAnswer: -5, -1, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0212046 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 133605250 rounded to the nearest 100000?\nAnswer: 133600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -15.99999. What is a rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 26*a**2 - 4*a - 10. Let k be p(-13). Calculate the highest common divisor of 84 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (117\/(-1131))\/(9\/(-4) + 3).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2697*a**4 + 161 - 101*a + 135 + 100*a wrt a?\nAnswer: 32364*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 174*s + 195*s - 358*s as g + w*s and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.297 + -0.317. Let d = 0.02 + a. Let k = -4.6 - -5. What is the nearest to -0.1 in k, -1\/12, d?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405472710 to the power of 1\/2, to the nearest integer?\nAnswer: 20136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -3*m**2 + 0 + 1\/3*m**3 + 0*m + 1\/60*m**5 + 1\/24*m**4. What is the remainder when 27 is divided by i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-two fifths of a day?\nAnswer: 14976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 333*k**2*w + 80*k**2 - 69*k - 18498803*w with respect to k.\nAnswer: 666*k*w + 160*k - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.5 and -17.\nAnswer: -59.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4 + 560*d**3 + 1100*d**2 - 560*d - 1104 = 0.\nAnswer: -138, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + a**2 + 3. Suppose 5 = i - 2. Suppose -4*j - 1 - i = -5*v, -8 = 2*v + 4*j. Determine c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12126 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/260 and 87\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1656 - 984. Is 56 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 15. Suppose -q - 2*q + 12 = c*h, -3*q + 5*h = 4. Let f be (-11)\/(-22)*q*1. Let a(v) = 3*v**3 + 2*v**2 - v. Calculate a(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21362 is divided by 7118.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*b - 2*b - 19*b to the form s + m*b and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 177, 183, 189, 195, 201?\n\"Answer: 6*s + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (849\/(-552) - -2) + (-14)\/161.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (31 + -2)\/((-3)\/(-57)). Suppose -1544 = -6*o + 610. Let a = i - o. What is the greatest common factor of 24 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and ((-760)\/(-25))\/(8\/20)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2. Let a(l) = 74401*l. What is a(q(i))?\nAnswer: -223203*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 54, -12, 1\/3, -0.449?\nAnswer: -0.449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.2047.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**5 + 246*p**2 - 25*p + 12 wrt p.\nAnswer: -80*p**3 + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 - 24 = -30*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 3*z - 74*z + 71*z to the form g + t*z and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 0.2723, 6\/11, -3?\nAnswer: 0.2723","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(120)\/sqrt(3)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19362*c**2 + 4488?\nAnswer: 38724*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 4*n)*(2 + 2 - 5) - 4 + 3*n + 4 + (-2 - 2*n + 2)*(-2 + 3 + 0) in the form r*n + j and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (-17)\/(17\/88). Which is bigger: c or 93?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - z. Let q(a) = 4*a**2 - 2*a. Calculate 5*b(c) - 2*q(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 - 42. Let n = -29 + b. Let k = n + -9.0000024. What is k rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(-3 + 10\/3) - -2. Solve 3*z - h*p = -9*p - 4, -4*p = 2*z + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.2 (c) -27 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooooeeeo.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**(3\/7))\/g)\/(g*g**0) assuming g is positive.\nAnswer: g**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4201, -5498, -6795, -8086, -9365, -10626, -11863?\nAnswer: -13070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2139 - 1665 = -120*n + 1596. Calculate the remainder when 1424 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112982826 divided by 56491413?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6849 is divided by 105?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 7\/(-4))\/((-105)\/(-60)). Put j, -3, -3\/10 in increasing order.\nAnswer: -3, j, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 1\/4, -1\/33, -45\/4, -4, 7, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.6 + 7.52. What is the third smallest value in 2\/5, 1\/6, -3\/2, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/(-901) - (-1120)\/(-5950)*235\/2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1299 - 3\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 64. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-2)\/(-105)*3*-10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 195322\nAnswer: 19\/195322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 2402\/45?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 10, -1874\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(208) + sqrt(1053) + -2.\nAnswer: -5 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/5992 and 37\/32.\nAnswer: 23968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 74. Determine h(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 1\/11 (b) -12 (c) 25 (d) -118 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 10*c. Suppose 0 = y - 3*z + 1, c = 5*y + 2*z - 4*z - 8. What is the smallest value in 1\/10, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9552*m - 4780*m - 4774*m - 2 + 2.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 + t**2 - t**2 + 0*t**4 + 6*t**4 - 5*t**4 + (2 - 1 + 0)*(-5*t**4 + t**4 + 2*t**4) in the form m*t + c*t**4 + o*t**3 + p*t**2 + y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001226418033 to 7 dps.\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3817 - 11410\/3. Which is smaller: j or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {o: 1, s: 3, w: 1, d: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = -4*n + 26, -2*s + 32 = 2*n. Suppose j - 4*d - s = -3*d, j = -5*d - 5. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 5. Let w be 0\/(2\/5*-10). Suppose -8*h - 21 + 5 = w. Let x(b) = 1. Calculate h*x(l) - k(l).\nAnswer: l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436.5235 nanograms to tonnes.\nAnswer: 0.0000000000004365235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) + 28\/(-42)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -152, -12, -1 in decreasing order.\nAnswer: -1, -12, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - cd?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747 a factor of 490957663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab77b0 - 0?\nAnswer: -ab77b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 80571.\nAnswer: -3222.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 + -3 + -5 + 4 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 856 - 854. Suppose -3*s = -6*s + 90. Suppose -b + d*b = s. What is the highest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/8*1\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.712 - 41.2. Round n to 2 dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -14. Suppose 0 = -0*m + c*m. Let m + 1\/2*f + 1\/2*f**2 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 24978300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.83528 - 4.83528. Let m = 5.3 + -5. Let a = m - 0.2. Sort -17, l, -3, a in ascending order.\nAnswer: -17, -3, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6084*w + 488*w - 369*w + 680010 for w.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 5*a, 11*a + 10 = 5*b + 16*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 + 2.84. Let m = -2 - -2.02. Let l = m - 0.02. Is n greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42163*k - 244968 wrt k?\nAnswer: 42163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2499*p - 5889*p + 1064 + 2159*p wrt p?\nAnswer: -1231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -5*z + 47. Let v be z\/(-8) + (-39)\/(-104). Which is the nearest to -1? (a) -0.5 (b) v (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -27. Suppose -d = -2*d + c. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1934 + 4.7016. Let i = -0.105 - q. Let y = -5 + 4.7. Put -7, i, y in decreasing order.\nAnswer: y, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/6)*b)**(-6)*b**(-2)*b**(-5) assuming b is positive.\nAnswer: b**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:47 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + (-3)\/(-12))*16. Suppose -7*l + 11 = g*l. Let y = 104\/207 - 4\/69. Which is the biggest value? (a) y (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207760 and 371.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)\/(g\/(g\/(g**(2\/17)*g))))\/(g**(1\/16)*g**4))**38 assuming g is positive.\nAnswer: g**(-37107\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.36? (a) 53 (b) -0.4 (c) -4 (d) 1\/5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b + 29?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1129 - -5330. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h + 110126. Let n(c) = -5*c - 44. What is z(n(o))?\nAnswer: -35*o + 109818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*t*y - 7*j*t + 385*j*y + 68*j + 407*t - 292*y wrt y.\nAnswer: j*t + 385*j - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 5. Let v be d(-7). Let x be (2 - (-2)\/2)*1. Let c = 6 - 10. Sort c, x, v.\nAnswer: c, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -48 - 30. Suppose -2*r = k*r. Which is the third smallest value? (a) r (b) -15 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18022\/21 + (-6)\/(-9). Let k = -35113\/42 + t. Find the common denominator of k and (2\/(-13) - (-1255465)\/511836) + 10\/85.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 1\/4*o**4 + o + 0 - 3\/4*o**3 + 0*o**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 4) to base 15\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*c - 211 - 37 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107951?\nAnswer: 107951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(5786\/164901)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 = -23. Suppose -b*x + f = -117 - 20, -5*f = -4*x + 201. Suppose 0 = -t + g + x, t - g + 100 = 3*t. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 1881.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 975 - 968.63. What is x rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 179674\/121 + -4 + 270\/66. What is the greatest common factor of z and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6596295 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let o(x) = x + 7. Let t = -7 + 7. Let r be o(t). What are the prime factors of -1*(0 + -2)*r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/24 + (-2)\/(-4))\/2. Let b = -5.74 - -0.74. What is the closest to 1\/4 in m, b, 20?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2682 divided by -6\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 21*t - 64*x = 12 - 658, -t = 5*t - 3*t - 2*x + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 13*l = 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -fffdc (base 16) to base 3\nAnswer: -1222021022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppyo when four letters picked without replacement from oppyyppyoyyyyoyyyooo.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*l - 48*l + 67*l + 0 + 0 - l - 5*l + 0*l + 2*l + (-l + 2*l + 0*l)*(-1 - 1 + 4) + 0*l + 0*l + l + 0*l - 2*l + 0*l - l + l + l + l + 0*l - 2*l.\nAnswer: 88*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.143368t?\nAnswer: 9143368000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z - 780 - 645 = 846 - 507 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/66 - (-13)\/(-39).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 z when three letters picked without replacement from {o: 4, x: 3, z: 2, d: 1, j: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 4) to base 6\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-8 - -3) + 6 + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-174)\/(-11) - (-2)\/11. Suppose 0*o + j = 4*o, 0 = -2*i - 2*o + 56. Let x = 5 + 1. Calculate the highest common factor of x and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173*k**3*v + 684385*k**3 - 29*k**2*v - 4*k*v - v with respect to v.\nAnswer: -173*k**3 - 29*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (-2 - -1)) + -1. Let n(x) = x - 4. Let j be n(l). What is the third derivative of -4*g**2 + 2*g**4 + 2*g - 2*g + j*g wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(60) - sqrt(4860)))\/(sqrt(588) + sqrt(588)*1))**2.\nAnswer: 720\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 4. Let f(g) = -g - 2. Suppose -s = 5*b - 3*s - 14, -2*s = -4*b + 10. Let z(j) = b*m(j) - 9*f(j). Determine z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 1 + 8 + 1 - 77*l - 7 in the form s*l**2 + v + x*l and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - x**3 + 3*x**3 - 2*x**2 + 0*x**2 to the form n*x**2 + b + k*x + i*x**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -0.1, -3\/7, 5, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*r = -394*r - 252. Let w be (r\/4)\/(24 - 25). Which is smaller: w or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10068 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e7 + -cb?\nAnswer: -4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -979.82 - -256\nAnswer: -723.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1088460.9 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86366, -78767, -71168, -63569?\nAnswer: -55970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 0 - 10\/11*d**2 - 2\/11*d**4 + 4\/11*d + 8\/11*d**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(23 + 9 - 5)*(-j**5 - 2*j**5 + 5*j**5) + j**5 + 1 - 1.\nAnswer: 55*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8248 is divided by 3917?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21000203 (base 4) to base 13\nAnswer: -13a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32.09 and -0.13?\nAnswer: 4.1717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 4\/3, 5, 0.2596?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 48 = -k - 0, -4*q = -5*k + 288. What is the remainder when 167 is divided by k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2288)\/(-21)*(-1 - (-37)\/(-4)). Let l = b + 1114. Calculate the common denominator of 25\/6 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (1 - 19) - 6) + (8 - 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 20 = 2*o + 5*g, 0 = -3*o + g - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -67. Let s(f) = -f**3 + 10*f**2 - 2*f + 6. Let x be s(9). Let p = j + x. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119548 and 481506740.\nAnswer: 5296574140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5)*(-4*y + 2*y + 8*y + (0 + 0 - 1)*(-y + y - y)).\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22786 + 22790. Let f(y) be the third derivative of -1\/48*y**5 - 1\/480*y**6 - 39*y**2 - 1\/32*y**q + 3\/8*y**3 + 0 + 0*y. Solve f(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744\/279*(-42)\/(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741395.\nAnswer: 5, 148279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Let w(o) = o**3 + 1 + 7*o**2 + l*o + 0*o + o. Give w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(4\/5)*j)*j\/(j*j**(-4))*j*(j\/(j\/j**(1\/5)))**(1\/87) assuming j is positive.\nAnswer: j**(1828\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*h - 14, 5*u - 34 = 3*u + h. Suppose 4*c - 32 = -2*w - 2*w, -3*c + w + 12 = 0. Calculate the greatest common divisor of u and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 - -224. Suppose -f = -10*q - 3. Let m(y) = y**3 + 3*y**2 - 5*y. Let z be m(-4). Solve 3*w - z = q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*-125.195.\nAnswer: -275.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 6. Let t be (d - 9\/4)*-2. Let x = -335 - -334.8. Which is the biggest value? (a) t (b) 7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let p = 11205 + -11202. Let s(l) be the second derivative of 1\/6*l**p - 1\/2*l**2 + 0 + 5*l. Determine s(t) - x(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 65 = 8*v. Suppose v*l + 6 - 26 = 0. Suppose 0 = -3*y + 3*k + 36, 5*y - l*k = y + 42. Calculate the greatest common factor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50368*j**5*r + 2*j**3*r**2 - 2546*j**2*r**2 + 2*j**2 + 2*j*r**2 - j wrt j.\nAnswer: -3022080*j**2*r + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 12:23 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2949 - -3352. What is the highest common divisor of 62 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/22, 5\/133, -1\/2?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from wdjxfjd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 - 117. Suppose d + 19 = 2*d - l, 2*d - 26 = -l. Let t be (620\/75 - 8) + 2\/d. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-8)\/1)\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -18. Let q be (5 + -3)*(3 + d). Let i(b) = -2*b + 3. Let z(n) = 4*n - 7. Let m(x) = -9*i(x) - 4*z(x). Give m(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-18 - -12 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/72314 and -28\/6747.\nAnswer: 2820246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-4)\/1) + 4. Let j be (12\/(-2))\/(2 - 4). Solve -y = -0*p - j*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4\/2 - 250*z**3 + 31331*z**2\/6 + 4986493*z\/3 + 9904396\/3 = 0. What is z?\nAnswer: -361\/3, -2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 433295*u**3 - 433263*u**3 + 6*u - 3*u.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*f. What is the third derivative of -3*i**f - 3*i**3 + i**2 - i**2 wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c - 28*c + 855 = 110*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = 79*d - 1557. Let w be (2 - 3)*(-4)\/2. Let j = d - w. Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29210, -58445, -87692, -116957, -146246, -175565, -204920?\nAnswer: -234317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2361 = 4*z, -1890 = -15*n + 11*n + 2*z. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(117) + (sqrt(117) - (sqrt(117) + (sqrt(117)*-2*-3 - sqrt(117)) + sqrt(117) + sqrt(117))) - sqrt(117))\/(sqrt(9) + (sqrt(144)*4 - sqrt(9))).\nAnswer: -4 - 7*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = i + 4*r - 2*r, -5*r - 40 = -2*i. Let o = 18 + -11. Let b = i + o. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*m - 18 = 0, m = -21*b + 22*b - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 117918995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 975 and -0.4.\nAnswer: 974.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + j = 0, 2*t + j + j + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3067052 decades in years?\nAnswer: 3.067052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-300) - (-4)\/48. Sort u, -0.281, -1\/4.\nAnswer: -0.281, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -p - 6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - -5426.\nAnswer: 5427.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247*c**3*r**2 + 12*c**3 + 2*c**2*r wrt r.\nAnswer: 494*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -277 + 283. Let x be (-16)\/(-10) + (-6)\/(-15). Solve x*l - z = -0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1085, -5011, -11537, -20657, -32365, -46655, -63521, -82957?\n\"Answer: r**3 - 1306*r**2 - 15*r + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2313 rounded to three decimal places?\nAnswer: 0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 730102744 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 33, 8, -17, -42?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/364 >= 569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -5*c + 658. Suppose 8*s - c = s. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16424.2 - 16424. Let r = -4.03 - -0.03. Sort -0.5, 4, o, r in ascending order.\nAnswer: r, -0.5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11130313 (base 4) to base 9.\nAnswer: -33557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(14)*2*3)\/(sqrt(448) - (sqrt(448) + sqrt(448)*2*-6)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -814.8996261 + 814.9. What is u rounded to six dps?\nAnswer: 0.000374","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9*9\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70.252 + -70. Let s = -0.248 - x. Which is the closest to -5? (a) 5 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:57 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 373687?\nAnswer: -99\/373687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 64*l + 420.\nAnswer: -4*(l - 5)*(l + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -2, -3\/4, -1\/5, 9, 107 in increasing order.\nAnswer: -2, -3\/4, -1\/5, 0.05, 9, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3*z**2 - 1425*q**2*z - 3790*z**2 wrt q.\nAnswer: -6*q**2*z**2 - 2850*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52902661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 21*v + 7*v - 8*v - 1 to m + l*v and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-171558)\/(-405))\/(2\/5) is divided by 360?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53807 is divided by 97.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:55 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)*-2 - sqrt(324))\/(sqrt(192)\/sqrt(8)))\/((sqrt(242) + 1*sqrt(242))*-5*2).\nAnswer: 9*sqrt(3)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24945799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.5 - 20. What is the closest to 0 in -5, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -493, -486, -467, -430, -369?\n\"Answer: c**3 - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18744 and 528.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 40. Let u be z(0). Let c = -34 - u. Suppose 17 + 19 = c*s. Solve b = -b + s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + 0 + (162 - -30436) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 58, 125, 208, 301, 398, 493, 580?\n\"Answer: -a**3 + 17*a**2 + a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/48 and 101\/15042.\nAnswer: 120336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + -2 - (-65 + -151 - -212).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 14)*(29*k**2 + 1 - 2*k + 25*k**2 - 55*k**2).\nAnswer: 22*k**2 + 44*k - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -550 + 281. Let a = 7802\/29 + m. Is 1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*r**3 + 174.\nAnswer: 249*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -21*q**2 + 3*q + 1. Let u be f(-3). Let l = 294 + u. Let s = l + -677\/7. What is the nearest to s in -1\/4, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/(-200))\/((-4)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -n - 28. Let j = n + 20. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.1 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/11 at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145123 = -19*t + 163779. Suppose 0 = 66*l - 44*l - t. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 155, 197, 237, 275, 311?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-780)\/(-50))\/(4\/10)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21*(-16)\/1008)\/((-5)\/(-870))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = -12*d - 40 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -581.2 - -581. Let d = 0.2 - 0. Let r = -5.06 + 0.06. What is the third smallest value in r, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -182, -173, -166, -167, -182, -217?\n\"Answer: -b**3 + 5*b**2 + b - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3795239 centuries in years?\nAnswer: 37.95239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k. Let m(l) = 2*l**2 - 4. Let j(c) = 3*c**2 - 3. Let p(w) = -3*j(w) + 4*m(w). Let r(u) be the first derivative of p(u). What is r(v(b))?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(4*k**3 + 454*k + 742*k - 854*k) to x*k**3 + f*k**2 + p*k + u and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.9 - 26.2. Let n = 0.1 + -0.15. Let q = 28 + -28. What is the second smallest value in g, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 75. Differentiate -5 - x*g**4 - 11*g**4 - 3 + 2*g + 2 with respect to g.\nAnswer: -72*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23211 or -22710?\nAnswer: -22710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 5*w - 2)*(2 - 4 + 1) - 5*w - w + 0*w.\nAnswer: -7*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 - 2270*i**2 + 2610*i**2 - 2 + 1 to the form d*i**2 + x*i + h*i**3 + f and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/216)\/((-3)\/(-12) + 0)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18288.2 - -18288. Put a, -2.8, -1, -0.05 in increasing order.\nAnswer: -2.8, -1, a, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278221 is divided by 856?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.3, 3\/7, -3390, 4 in decreasing order.\nAnswer: 4, 3\/7, 0.3, -2\/11, -3390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10041392196 plus -1737?\nAnswer: 10041390459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.062*-4.6.\nAnswer: -0.2852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*x = -247*x - 198*x + 15840 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164\/(-8) - 3\/2. Let j = 44 + y. Let k = -20 + j. What is the highest common divisor of k and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -36, 32, 120, 228, 356, 504?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-9))\/(1\/(-90)). Suppose 3*n - c = 2*n. Suppose 6*r - n = 2*r. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/8430 and 25\/31191?\nAnswer: 311910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 3*d**2 - 74*d - 373. Give x(-7).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r**2 + r - 1. Let y(l) = 3 - 6*l + 4 - 8*l**2 + 3*l**3 - 1. Determine -6*f(p) - y(p).\nAnswer: 3*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**3 - 9*r**2 - r + 365. Let w(b) = 5*b**3 + 6*b**2 + b - 370. Give 2*t(p) + 3*w(p).\nAnswer: 3*p**3 + p - 380","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -17*o**3 - 2*o**2 + 2*o + 2. Let y(w) = -17*w**3 - 3*w**2 + 3*w + 2. Let l(j) = -3*r(j) + 2*y(j). Differentiate l(b) with respect to b.\nAnswer: 51*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {e: 1, k: 5, i: 3, z: 1, m: 1, c: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 61 + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 3*v - 2. Let m be u(-2). Suppose m*g = g - 17. Is (g - 4\/(-2)) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f - 3. Let y(i) = -f*i - 14 - 47*i + 17*i. Is y(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2750*w**3 + 18820*w**2 + 2998*w + 84 = 0 for w.\nAnswer: -3\/25, -2\/55, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 - 0.07. Let d = -0.5 - s. Let w = 0.34 - 0.04. What is the closest to d in w, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - o + 311 = -0*g, -2*o - 398 = -4*g. Suppose 5*d = 7*d - g. Calculate the remainder when d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1322 - 1317. Which is the third smallest value? (a) 4 (b) -0.9 (c) j (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 121160504*p + 917491733095876.\nAnswer: 4*(p + 15145063)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -20. Suppose 4*k + 5*f + r = -10, -2*k + 2*f = -14. Factor -4*w**k + w + 6*w**2 - w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18925 and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(117) + 0)**2 + 5*(2 + sqrt(52))**2.\nAnswer: 70*sqrt(13) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y. Let w be a(4). Suppose 4*f + w = 5*f. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*b - 2*c - 48, -3*c = -3*b - 36. List the prime factors of ((-8)\/b*78)\/1.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/217?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 322\/6 - (-2)\/6. Calculate the greatest common divisor of b and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 654 - 654.4. What is the second smallest value in -5, -65, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/59)\/(101\/((-15150)\/225))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*p - 2*a - 97, 0 = 2*p - a - 36. Solve -p + 47 = -7*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -5*l - 59. Let v be -1*3 - 90\/(-10). Let t(w) = -l*w - 12*w - 10*w + v*w. Let p(i) = i. Give p(t(r)).\nAnswer: -31*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q**2 - 2. Let a(n) = -8*n**2 - 3. Let s be ((-21)\/6)\/((-1)\/4). Suppose -s - 2 = 4*h. Determine h*a(u) + 5*t(u).\nAnswer: -3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -72.02 and -216230.2.\nAnswer: -216302.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*r - 5*r. Let n(x) = 12*x**3 + x**2 + 2*x - 2. Let c be n(1). Suppose c = z + 3. Calculate the greatest common factor of r and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 69*m**3 + m**2 + m + 1. Give i(-1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 110*x + 13434. What is the remainder when g(-110) is divided by 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237*m - 310*m - 217 + 215 - m**4 to the form q*m**2 + w + v*m**3 + u*m + r*m**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -13 - 35. Suppose -w = -5*i - x, -4*w + 3*w - 5*i - 4 = 0. Solve 2*z = w*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.276625 - 55.281525. Let m = x + 54. Round m to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 743858415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 24 = -2*x, 6*t = 5*t - 2*x + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 330. Let k = s + 265. Put 3\/7, k, -0.1, 0 in descending order.\nAnswer: k, 3\/7, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 7*s**3 - 4*s**2 + 0*s + 4*s**4 - 5*s**2 - 13*s + 13. Let k(m) = -m**4 - m**3 + 2*m**2 + 3*m - 3. Let j(i) = 26*k(i) + 6*q(i). Factor j(u).\nAnswer: -2*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 7*l + 2. Let b be p(-7). Let n(y) = 0*y**b - 3*y**2 - y**2. Let g(x) be the third derivative of -x**5\/30 + 9*x**2. Determine g(n(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7)*(-812)\/(-696)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p\/(p\/((p*p**34*p*p)\/p)*p)*p)\/p*p**9 assuming p is positive.\nAnswer: p**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 379725018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*d*k**3*p*y - d*k**3*y - 4165*d*k**3 + 6*d*k + 2*d*p + 53*p*y with respect to p.\nAnswer: 22*d*k**3*y + 2*d + 53*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1791\/265849 or 1?\nAnswer: 1791\/265849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1382 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -3, 65625501, -3\/4 in increasing order.\nAnswer: -3, -3\/4, 3\/4, 65625501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12738\/(-144))\/(-11) - (-15)\/(-360) - 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -6375.\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * -21.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:53 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575) + sqrt(1575) + -1)*3 + sqrt(1575))*-6.\nAnswer: -630*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 16*m**2 + 9*m - 90. Give k(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 9) in base 2?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -40, 0.5, 3, -3, -1.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 59.98. Let z = 0 - 2. Let n = 0.17 - -0.23. What is the smallest value in z, d, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 7880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0176 + 0.2676. What is the third biggest value in 0.01, 2\/5, r?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 7. Let u be q(-11). Let d be 3*((-5)\/3)\/(-1). Put d, 3, u in descending order.\nAnswer: d, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-2)*(2 + -1). Let k be j\/8 - (-362)\/8. Calculate the greatest common divisor of k and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) 42 (c) -4 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360982056 divided by -28904.\nAnswer: 12489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*k + 5*f, 4*f = 10*k - 8*k - 46. Let m(t) = t**3 - 19*t**2 + t - 21. What is m(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 8 + 7 + -13 - (1 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000 + -1001100011?\nAnswer: -1011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 9*v**2 + v - 9. Let l be o(9). Suppose l*a = a - 10. What is the highest common divisor of 30 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*b + 300, -4*b - s - 99 = -357. Solve b*d + 35*d + 303 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 4)*(3*g - g + 0*g) + 4 + 3*g - 4 + 12*g - 7*g + 10*g in the form t*g + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 926 - 772. Differentiate l**3 + 37*l**4 - 296*l**4 + l**3 + 164 + q with respect to l.\nAnswer: -1036*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53859*f**5 + 9*f**4 - 3*f**2 + 108589370*f.\nAnswer: 1077180*f**3 + 108*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 978302 to the power of 1\/2, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlaq when four letters picked without replacement from {q: 2, l: 4, a: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2086, -2302, -2656, -3142, -3754, -4486, -5332, -6286?\nAnswer: -7342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253\/1098 - -1\/122. Suppose t - 6*t = -5. Let y(g) = 3*g**2 + g. Let z be y(t). Which is the closest to s? (a) -1\/7 (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.03 - -0.03. Let a = 100878 - 100887.9999. Let w = a - u. Round w to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631 bigger than 600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-3 + (-25)\/(-10)). Suppose -7 - 14 = -c*j. Calculate the remainder when ((-7)\/(-5) + 4)*5 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -11. Suppose -q + 5*d + 3040 = 0, 0 = a*q + 5*d - 4346 - 10914. What is q rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -244189, -244188, -244187, -244186?\n\"Answer: o - 244190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000000101010 (base 2) in base 7?\nAnswer: 113555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/25*(-3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1184235*f + 0*f**2 + f**2 - 7.\nAnswer: f**2 - 1184235*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 412283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 228049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 20821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15281 is divided by 67?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - 0) - 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.397*-205420\nAnswer: 81551.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1265 and 17825?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8206292669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccwc when four letters picked without replacement from ctccttfwttctttttttct?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4 - -3) + 5)\/2. Suppose u - q*u - 20 = -4*b, -2*u = 4*b - 8. Solve b = -h - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2835)\/(-18) - (-2)\/4. Suppose -3*r + 2 = l. Is 39\/r - 375\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1889\nAnswer: -3778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 3*p**3 - 4*p + (2*p**2 + p**2 - 5*p**2)*(5*p - 9 + 9) to i + v*p + b*p**2 + m*p**3 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765169209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*n + 2, 4*a + 317*n = 313*n + 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176212457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-4 + 23 - 7) - -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130365 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y + 45 = 44*y. Suppose -s = i - 267, y*s - s = i - 282. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 17*v - 17. Let w = -12 - 6. Let j be s(w). Solve n - 2 + j = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3842 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, o: 3, m: 1, z: 1, i: 8, t: 1}. Give prob of sequence amii.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s**4 - 445*s**2 - 1340*s wrt s?\nAnswer: 48*s**2 - 890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.856*2.\nAnswer: -1.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -569, 5, 4, 0 in decreasing order.\nAnswer: 5, 4, 0, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9193628?\nAnswer: 2, 251, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/3)*u)**(3\/4)*u**(1\/2)\/(u*u**(-5)*u*u))**28)**(-8) assuming u is positive.\nAnswer: u**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - s - 3*s)*(1 + 2*s - 1 + (-1 - 2 + 8)*(-2 - 2*s + 2) + 2*s + 2*s - 3*s - 2*s - 3*s - 2*s).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: (-86)\/(-129) + (-98)\/39 + 2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 42*x**2 + 43*x - 22. Let p be j(-22). Let y = -22 - -23. Put -4, y, -3, p in descending order.\nAnswer: y, p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -9) + (-357 + 372 - (0 - 29))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 + 51. Let y = k - -42. Let c = 32 + y. Solve 1 + c = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-5)\/3) - 8. Which is smaller: -4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttvttvtvtttvt. What is prob of sequence tvtt?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 5, a: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*n**2*s**2 + 2*n**2*s*v - n*s**2*v - 12*n*s**2 + 4*n*s*v - 2*v wrt n.\nAnswer: 92*s**2 + 4*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 0.4, 2\/3, 0.1, 208?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 4. Let w be c(6). Solve 2*a = 3*a + w*d, -2*a - d = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/3 + 2*u**4 - 3*u**3.\nAnswer: -u**3*(u - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**3 + 0*o**3 - 12*o**2 - 4 - 10*o**3 + 32*o + o**2. Calculate the lowest common multiple of 12 and h(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4348427 + 2174220 + 2174207 - 3*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/15, 3, -1.2, -2\/3, 2\/477?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(46*x**4 - 44*x**4 - 223*x - 141*x) + (-4*x**3 + 2*x**3 + x**3)*(0 - 2*x + 0) to m + i*x**4 + c*x**2 + o*x + f*x**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16267893\/728 + -22346. Find the common denominator of j and 45\/104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 n when three letters picked without replacement from {d: 2, n: 2, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 316? (a) -3 (b) -2.14 (c) -4.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7765, 7744, 7723, 7702, 7681?\nAnswer: 7660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*i + 67, -2*i = -f + 3*i + 25. Let y(x) = -7*x - 7. Let w be y(-1). Solve 3*h + w = -f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -66. Solve -z*d - 6 + 0 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40223 and 201115.\nAnswer: 201115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 21*t**5 - 3096609*t**4 + 114126074175*t**3 + 2103957506169*t**2 + 10129568685768*t + 3963786337476 = 0.\nAnswer: -9, -3\/7, 73738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666668*k**2 + 333365*k**2 + 333353*k**2.\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165654*f**3 + f**2 - 4*f - 68685.\nAnswer: 993924*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5 - (17 + -25)) + 5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356 is divided by 678.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjbbbbbbjbj. What is prob of sequence bj?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2176)\/sqrt(2) - (6*2*sqrt(85))\/sqrt(5))**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 7*n + 24 = 0. Let f(r) = 5*r**2 - r - 2. Calculate the lowest common multiple of n and f(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 17*g**4 - 12*g**3 + 4*g + 9. Let w(o) = -8*o**4 + 6*o**3 - 2*o - 4. Let z(l) = -4*r(l) - 9*w(l). Suppose z(v) = 0. Calculate v.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 9:57 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 13*x**3 + 2*x**2 - 6*x + 5. Let q be f(-5). Let d be (0 + -60)\/(7\/q). Suppose -2*k - d = -6*k. Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 202*u**2 + 26*u**2.\nAnswer: 228*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t + 11*t + 3*t to the form x + q*t and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 76. Let j be k\/3 - 1*17\/(-3). Solve 5*l + 23 - j = -3*b, -19 = 5*l + b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -a - x, 3*a - x = x + 6. Suppose a*d + 3*d - 15 = 0. Suppose -2*m - 78 = -d*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 35*l - 17. Calculate the remainder when g(8) is divided by -3*402\/(-9)*2\/4.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-116 + 575 + 48 + 456)*(1 + 2*i - 1) - i - 2*i + i + (0*i - 4*i + 3*i)*(0 - 1 + 2) to h*i + v and give h.\nAnswer: 1923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26692789 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 485653996 or 485653997?\nAnswer: 485653997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34\/99 - 7091\/396. Let j = 219\/184 - -10\/23. Calculate the common denominator of j and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -151 (b) -0.5 (c) -0.1 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/7, -248, -0.06, 2\/15 in descending order.\nAnswer: 5, 4\/7, 2\/15, -0.06, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23379 + 23382. Which is the third biggest value? (a) r (b) 10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75893016 divided by -1212.\nAnswer: 62618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 98*f - 464. What is the remainder when 746 is divided by t(-37)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2 + 104*t + 97. Let c be p(18). What is the closest to c in -4, -0.4, -0.5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(147) + -4 + (sqrt(147) - (sqrt(147) + -1)*5))*-4*1*-6)**2.\nAnswer: -16128*sqrt(3) + 339264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9608.044 centuries to millennia.\nAnswer: 960.8044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z - 24. Let j be ((-2)\/z + -1)*2. Suppose 3*q - 1 = 4*n - 3, -5*q - 58 = 7*n. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than -12996024?\nAnswer: -12996012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5\/2 - 337*r**4\/2 + 111*r**3\/2 + 1549*r**2\/2 - 262*r - 402 = 0 for r.\nAnswer: -2, -3\/5, 1, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 0.17?\nAnswer: -0.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 111?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*h + h**2 - 3*h**4 + 1 + 3*h**4 + 29*h - h**3 - h**4 to f*h**4 + u*h**2 + m + w*h + k*h**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -417730500 divided by -1940?\nAnswer: 215325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001792496 to 6 dps.\nAnswer: -0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f + 3 = -3*a, 18 = -2*a - 2*f. Let x(l) = l**2 + 6*l. Let u be x(a). Sort 3, u, 2 in descending order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1\/32, 0.40265?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 24*j**2 - 432*j - 2231. What is b(-7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 3*y - 10 = -26*w, 2*w - 60 - 44 = 48*y - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 3, 6 in increasing order.\nAnswer: 2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3968? (a) -725 (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 7:31 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 311773 and 311772 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*g**2 + 1155*g**2 - 600*g**2 + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 81 + 3 + 3 + -1. Let b = p + -49. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222001 + 0?\nAnswer: -222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48059.36ml?\nAnswer: 48.05936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3279 - -45?\nAnswer: -3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.26918 * 0.2307\nAnswer: 0.292799826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 10524 and 0.86.\nAnswer: 10524.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v + 159 = -29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1179, 4932, 11187, 19944?\nAnswer: 31203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 262 by 4.\nAnswer: 131\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3531 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 5*k**2 - 4*k**2)*(-27*k + 83*k - 39*k + 127*k) + 6*k**3 - 4*k**3 - 4*k**3.\nAnswer: 142*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**(3\/4)))\/r*r*r\/((r\/r**7)\/r*r)*r)**32 assuming r is positive.\nAnswer: r**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 + 4*h**2 - 78731 + 810*h**3 + 78730 - 304*h**3 to g + x*h**2 + k*h**3 + p*h and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-30) + 37\/(4440\/16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 360*s - 709. What is f(118)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 66. Let n be o(13). Solve n*p - 19*p = -40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2022*x + 880*x + 743*x + 706*x as f*x + j and give f.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s + 8*s + 6 = -21*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/130 and 71\/53404.\nAnswer: 267020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(-57)*6\/(-32)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z + 5*z)*(0*z + 2*z - 3*z)*(-147*z + 449*z - 39*z).\nAnswer: -263*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8258533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -9. Let t(j) = -j**2 - 5*j + 1. Let l be t(d). Suppose -2*n - 5*v - 14 = 0, l*n = 5*v - 0*v. Let c(b) = -b**3 + 3*b**2 + 2*b - 1. What is c(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*i*i**10*i*i)\/i)\/i**(1\/13))\/(i\/(i\/(i*i**11))*i**5))**(2\/83) assuming i is positive.\nAnswer: i**(-80\/1079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141742970 to the nearest integer?\nAnswer: 11906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 1.11828?\nAnswer: 3.11828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -784250 and 0.05.\nAnswer: -39212.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302762 by 302762.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**7\/105 - o**6\/30 + o**5\/30 + o**4\/6 - 4*o**2 + 8. Let z(s) = 0. Calculate s.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-5))\/(4\/10). Suppose 4*d + 0*d - 39 = c, 0 = -m*c + 3. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 268*i - 27. Let v(m) = -6*m - 14*m - 2 + 15 - 113*m. Let z(t) = -2*s(t) - 5*v(t). What is the units digit of z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 97, 141, 185, 229?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 - 1. Let v be s(1). Suppose 5*w = t - 9, -v*w = -3*t + t + 12. Solve t*x + 2 = -2*n - 14, 0 = -4*n + 5*x + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 16 + 129*k + 5)*(1 - 3 + 0)*(9 + 8 + 10)*(-k - k + 0*k).\nAnswer: 13932*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5953 divided by 1090.\nAnswer: -5953\/1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-9 + 4 + -4 - 20) + -7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(-4)*v)\/v))\/((v**(-7)\/v)\/v))**18*(v**(-1\/3))**36*(v**(2\/5)\/v*v)\/v**7 assuming v is positive.\nAnswer: v**(1077\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -406\/3 in 1\/3, -4, 2\/9, -133\/3, 4\/3, -3?\nAnswer: -133\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 3*u + 2*d, -4*d + 3*d = 2*u - 99. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -333?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (7 - 0) + -45 + 35?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -4. Let z(q) = -q**2 - q + 4. Determine z(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1737, 4192, 6647, 9102, 11557, 14012?\nAnswer: 16467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 8:25 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -111*a**3 + 6*a**2 - 13*a - 60. Is 30 a factor of u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1245 divided by -55\nAnswer: -249\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 6*b - 3. Let j be p(-4). Suppose -4*h + 112 = -8*h. Let g = j - h. What is the greatest common factor of g and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from uuuuuuufuufhzuf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072 = -4*x + 4*s, 16*s + 1075 = 4*x + 11*s. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42\/19, 6, 1 in increasing order.\nAnswer: -42\/19, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 110.354629 and -1.5.\nAnswer: 108.854629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3110*g - 89*g**2 - 573*g**5 - 482*g**5 + 1073*g**5 wrt g.\nAnswer: 360*g**3 - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31 + 23 + 377*w - 40 - 1106*w + (-2 + 2 - w)*(-1 + 2 - 3).\nAnswer: -727*w + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((((w*w**(-4)\/w)\/w)\/w)\/w))\/(w\/w**(4\/7)))\/((w\/(w**(-22\/7)*w))\/(w*w**(6\/13)*w)) assuming w is positive.\nAnswer: w**(627\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2, -3*b - 225 + 2069 = -2*q. What is the tens digit of (b\/20)\/((-4)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.251973417 + 43.252. What is c rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*f = -0*n + 140, -n - 4*f + 116 = 0. Suppose -255 = 123*x - n*x. Calculate the remainder when 62 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:28 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(75)*2 + sqrt(75)) - sqrt(75))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 4) + 25 + -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 10*z - 17. Let o be x(9). Let y be (o\/(-12))\/(35\/(-15)). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 98\/(-4396)*(-20)\/7. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*i**3 - 422 + 16*i**3 + 236*i**3 + 412.\nAnswer: -2*i**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q - 52. Suppose 0 = -p - a + 4, -4*a + 1 = 17. Calculate the lowest common multiple of d(p) and 178.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 10*k**2 + 10*k + 5. Let n be j(11). Let u = 15 + n. What is the remainder when u is divided by (6 - 3) + (2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 - g + 59 - 35 - 2*g**3 - 27 in the form r*g + c + i*g**3 + x*g**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 7 + 0*y**2 + 0*y - 103\/3*y**3. Let f(d) = d. Determine f(n(k)).\nAnswer: -103*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7470 or -7471?\nAnswer: -7471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 83260842.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 960 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37387294?\nAnswer: 2, 7, 241, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + -90. Let v be 3\/(x\/439) + (-1)\/(-4). Suppose -5*t - 25 = -2*m - m, -13 = -m - 3*t. What is the greatest common factor of m and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a decade in months?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 3. Let h be (13 - (k - 0))\/1. What is the units digit of (-332)\/(-10) + h\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441.3231804 - 5578\nAnswer: -5136.6768196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 123*i + 2295 = 0. Suppose -2*m + 229 = 3*m - 4*z, 5*m = -2*z + 223. Calculate the greatest common divisor of m and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 39355*h - 275529. Give g(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -15208106 in ascending order.\nAnswer: -15208106, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2360 and 55\/64?\nAnswer: 18880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 87, -0.1, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 39*f + 700. What is the tens digit of q(53)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -101021?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**38*z**(-3) assuming z is positive.\nAnswer: z**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvv when three letters picked without replacement from vvffvvfvvfvvf?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 5*y + 2. Suppose -4*p + 37 = 3*k, 3*p + 2 - 7 = k. Suppose h - 12 = -k. Let w be t(h). Solve -4*a - w*i - 8 = -0*i, 0 = a - 4*i + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 9*l = 5*g - 651, 3*g + l - 393 = 0. Factor g*p - 1124 - p**2 + 0*p**2 - 2*p**2 - 328.\nAnswer: -3*(p - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxr when three letters picked without replacement from xiffxrfwuwrr.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7. Let q(o) = o**2 - 6*o - 3. Let d(i) = 3*f(i) - q(i). Give d(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-15) - 26\/(-6). Suppose -10 = -0*q - v*q. Solve a = q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-14)*14*(-5)\/20. Let z = -3 - 1. Let w = -13 - -13.3. What is the second smallest value in z, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 3. Suppose 2*i + 2*a - 7 + 3 = 0, 2*i + 4*a = -2. Let k(r) = -3*r + 15. Let n be k(i). Calculate h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10543*n**3\/5 + 63256*n**2\/5 + 18975*n - 18\/5.\nAnswer: (n + 3)**2*(10543*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/2)\/((-5)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/5 + 32*m\/5 - 96\/5 = 0. Calculate m.\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46\/133? (a) -5 (b) 47 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 21*n + 124. Determine o(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 12:12 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57723016 + -1?\nAnswer: 57723015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 1469832*f - 135025381764.\nAnswer: -4*(f - 183729)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 3*d**3 + 4*d**2 + 2*d**3 - 6*d**2 + 4*d as s*d + f*d**3 + a*d**2 + v and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -371730116*n**2 - 197746646.\nAnswer: -743460232*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-81)*3*6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*b - 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 0 - ((4 - 7) + -1 + 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 87, 198, 355?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n = -27*n - 4. Solve -5*y - n*a + 15 = 3*a, 4*y - 2 = a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -76, 28.97, -5, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(882) + sqrt(882) + (sqrt(882) - (sqrt(882)*-3 - sqrt(882)) - sqrt(882)) + -2)**2 + -5*-2*sqrt(882) + 0 + sqrt(882) + 4.\nAnswer: 231*sqrt(2) + 31756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4932800 rounded to the nearest 10000?\nAnswer: 4930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4 + 4*x**2 - 1 + 14*x**2 + 2 - 11*x. Is f(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 - (-4460)\/1395. Let c = j - -5\/62. What is the common denominator of (-2)\/(-14)*938\/12 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 5 in descending order.\nAnswer: 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*a + 3*r, -128*r = -5*a - 127*r - 2. Let m(u) = 1. Let n(h) = 4*h**2 + 4*h - 2. Give a*n(y) + 4*m(y).\nAnswer: 4*y**2 + 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-36)\/(-5)*-1)\/(10\/(-25)) and 130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + 23?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 times -0.335666?\nAnswer: -42.293916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:08 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(4\/((-56)\/2))\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**6\/18 + 2*f**5\/5 + f**4 + 8*f**3\/9 - 18. Factor v(r).\nAnswer: r**2*(r + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184340 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3538, 9914, 16306, 22720, 29162?\n\"Answer: x**3 + 2*x**2 + 6363*x - 2828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2259 + -2246 + 1 + 0 + -14 - (-20 + -2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5509 + 5515. Let f(v) be the third derivative of 0 + v**3 + 0*v - 1\/40*v**r + 0*v**5 + 3\/8*v**4 + 12*v**2. Solve f(k) = 0 for k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33752417129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1763 + 1763. Let n(f) be the third derivative of -1\/30*f**5 + 0 + s*f + 1\/3*f**3 + 10*f**2 + 0*f**4. Find r such that n(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.9 + 38. Let s = -0.3 - p. Suppose 2*f - 5*q = -8, 12 = 3*f - 6*f - 3*q. What is the nearest to -0.2 in -2\/13, f, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/4686 and -103\/22.\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - 372\/(-36))*(-18)\/84. Let m = -3.41 + 3. What is the smallest value in m, o, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5512 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - f. Let g(m) = -m**2 - m. Let w = -16 + 13. Determine w*s(k) + 3*g(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 1. Suppose -56 = 2*g + 2*g. Let j(y) = 12*y**2 + 7*y + 9. Let f(u) = g*d(u) - 2*j(u). Factor f(c).\nAnswer: -2*(c + 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12215783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 13. Suppose 11*m = 14*m - 222. Let j = m - 66. Is z equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 + 310 = 12*t. Let c = -8 - -16. Calculate the smallest common multiple of t and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -876554909*t**2 + 346326659*t.\nAnswer: -1753109818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77091, -77084, -77065, -77028, -76967, -76876, -76749?\nAnswer: -76580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -43, -34, -21?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**4\/t)**25)**20 assuming t is positive.\nAnswer: t**2000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**7\/2520 - 11*o**4\/24 + 7*o**2. Let d(x) be the second derivative of n(x). Let q(i) = 76 + 6*i - 76. Determine d(q(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 172 * -0.0458769.\nAnswer: -7.8908268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l - 2 = -29 - 36 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.542 - -0.218. Let y = -5 + r. Let w = y - 0.06. Which is the second biggest value? (a) w (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*(-25)\/1750*1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46802431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 653 (c) -100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0 + 0 - g + 1. Let i(c) = 2*c**2 - 2*c + 6. Give i(x) - 4*r(x).\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -8. Let m(d) = 4*d - 6. What is the smallest common multiple of a and m(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*m + 2917 + 32823 + 5455. What is the greatest common factor of m and 935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*p + 543 + 428, 5*k = 3*p + 969. What is the remainder when k is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002854409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 11*l + 15. Let r be g(7). Suppose -488*q - 633 + 2809 = -472*q. Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729046310?\nAnswer: 2, 5, 523, 139397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.258 or -7494?\nAnswer: -0.258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -8. Let b be 5 - w\/(-4)*0. Is 4 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*v + 4, 5*h + v - 8 = h. Suppose 0 = -2*p + 3*m + 68, -3*m + 6*m = -h*p + 80. Let x = -42 + 50. Calculate the remainder when p is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7140 is divided by 6694.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 6*r = 11425. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1258 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1\/8 (c) 8 (d) 4 (e) -0.02 (f) -26\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -758753*q - 24. Suppose 3*d + j = -23, 2*d - 2*j = j - 19. Let p be v(d). Round p to the nearest 100000.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31639608 a multiple of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f**2 - 3*f)*(-30*f**3 + 0*f**3 + 147*f**3).\nAnswer: 117*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.3 - 13.8. Let z be ((-22)\/(-80) - 1) + 426\/710. Which is the closest to z? (a) -5\/2 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -4\/5 (c) 0.7 (d) 5 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(175)) + -3*(-2*sqrt(175))**2 - ((sqrt(175) - 1*sqrt(175)*4) + sqrt(175) + 1*sqrt(175) + 0)**2.\nAnswer: -2277 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 3. Let z be j(5). Let l be (-3)\/z*(-8)\/6. Suppose -l*p - p + 12 = 0. Solve 9 + 7 = -p*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/180 - (-1)\/(-3) - 186\/(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 29232.\nAnswer: 29232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3 - 1234*z**2 + 8599*z - 12270 = 0.\nAnswer: 2, 5, 1227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 - 2*q**3 + 7*q**2 - 558*q + 6*q**2 + 692*q to the form g*q + n*q**2 + l + u*q**3 and give g.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13333 + -122?\nAnswer: -20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00900758 rounded to 4 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 233511306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2793 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7 = 8*p - 3*q, q = -2*p - 11. Let s(w) = w**2 + 5*w - 5. Determine s(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -431342987 or -1294028963\/3?\nAnswer: -431342987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11433 a factor of 3478933773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4175347280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, b: 2, l: 4, z: 1}. Give prob of picking 2 b and 1 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50137*u**4*v - u**4 + 7*u**3*v + 2*u**2*v - 16*u**2 - 7*u + 2*v + 9 wrt u?\nAnswer: -1203288*u*v - 24*u + 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1639174 is divided by 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48784 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 + 7*x - 7. Suppose 0 = 79*j - 82*j + 21. Let w(q) = -2956*q**3 + 1480*q**3 - 6*q + 6 + 1477*q**3 - 6*q**2. What is j*w(z) + 6*l(z)?\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-14)*(-7)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/3*(-171)\/114. Solve 9 = -3*c + u*i - 6*i, 5*c + 3*i + 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3 + 11688*d**2 + 14038674*d - 28124116 = 0.\nAnswer: -4153, -1693, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1. Let i(t) = 10*t + 1. Calculate 2*g(x) - i(x).\nAnswer: -10*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339147641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 500*t**2 + 101988*t - 2455. What is h(-204)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/5 in -0.5, 0, -12, -0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13 - -1)*-8500)\/1. Let w be 0 - (0 + j\/3). What is w rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (-8 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5377?\nAnswer: 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5952623 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 122*z**2 + 1137*z + 494. Give v(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -29*h + 4. Let z = 23 - 29. What is the hundreds digit of d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9563 is divided by 1996?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 979.7, 4, 0.\nAnswer: 0, 4, 979.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7*o*o**8*o*(o**(-1\/10)\/o)\/o**(-7) assuming o is positive.\nAnswer: o**(229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**4\/8 - q**3\/6 + 6619*q**2. Let a = 1 + 1. Let c(y) = -4*y - 2. Calculate a*c(u) - 3*h(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - (-8 - (-2 + 2))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w + 5. Let k(b) = -6*b - 3. Let n(j) = 5*g(j) + 7*k(j). Determine n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/181 in 0, 9\/2, 2\/13, -1\/7, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 3460*x - 163800.\nAnswer: 4*(x - 45)*(x + 910)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - -4 - (1 + 0). Let h(o) = -o - 1. Let a be h(-1). Suppose a = -5*s - f - 1 + g, -5*s = 5*f. Solve w - 2 = s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 47. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18831, -75403, -169699, -301725, -471487, -678991, -924243?\n\"Answer: -o**3 - 18856*o**2 + 3*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 5*l + 27 = 6*k, 3*l = 2*k - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*j + 4*y - 24, -2*j - 14 = 3*y. Suppose -12 = -5*k + 3*k + 3*f, -f = 5*k - 64. Let v = k - j. Calculate the smallest common multiple of v and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1031 - -131. Let h be (12\/9)\/((-5)\/q). Calculate the greatest common divisor of h and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 + d**4 - 20472*d**3 - 3*d**2 - 43.\nAnswer: 60*d**2 + 24*d - 122832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 5789*d + 5794*d - 63, -5*d = -4*c - 57 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(8\/6 - 2). Suppose -5*b + 3*s + 2350000 = 0, -5*b + s + 2350000 = t*s. What is b rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011011 (base 2) to base 7\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 20*j - 15*j = 108, 3*a + 4*j = 108. Solve -a*t - 28 = -22*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 19 = 6. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(1 + sqrt(180) + -5) + (-4 + sqrt(180)*-2 - (-1 + sqrt(180))*-2)*-1)**2.\nAnswer: -7776*sqrt(5) + 28836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*q + 1217 - 449. Let w(h) = h**2 - 6*h - 8. Let k be w(12). Let r = k - 28. Calculate the greatest common divisor of q and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/30)\/(2\/40). Solve g = 3*y - 6 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7805678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 1:09 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 94489924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, -1, 23 in ascending order.\nAnswer: -12, -2, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108504 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1013 - -0.1.\nAnswer: 0.2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 43*d - 81. Let w(f) = f**2 + 1. Let b(p) = -r(p) - 2*w(p). Let l be b(-23). Solve l*z - 5*z = -10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224258 is divided by 81?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191505000 by -5.\nAnswer: -38301000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -252*y**5 + 24140*y**4\/3 + 2428*y**3\/3 - 8132*y**2 - 1672*y\/3 + 256\/3 = 0. Calculate y.\nAnswer: -1, -1\/7, 2\/27, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26666568.\nAnswer: 2, 3, 23, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -54*3\/(18\/4). Suppose 0*o + 2*f = -4*o, -o + f - 6 = 0. What is the units digit of (z\/9)\/(o\/13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1409\/1615 - 41\/190. Find the common denominator of ((-2)\/12)\/(3\/219) and l.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9 + 11*r**2 + 20*r**4 + 9 + r**2 wrt r?\nAnswer: 480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 131, 2, 0.5, -0.04 in descending order.\nAnswer: 131, 9, 2, 0.5, -0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -0.2, -0.03, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211872*t**3 - 635480*t**3 + 211844*t**3 + 211842*t**3.\nAnswer: 78*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -35, 4, 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*k*x**6 - 2*k*x**3 - 2*k*x**2 + 48*k*x + 2*x**3 wrt x.\nAnswer: -5760*k*x**3 - 12*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140243148 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 168 = 966. Let b = 111 + a. Let x(z) = -z**2 - z + 4. Calculate x(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r**3 - 5*r**3 - 2*r**3)*(3 - 2 + 4) + 3*r**3 - 7*r**3 + 17*r**3 in the form x*r**3 + q*r + v + w*r**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Suppose d*k + 2*o - 1 = -2, 0 = 3*k - 3*o + 9. Is k\/((-57)\/(-30) - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -21*a. Let z(t) be the first derivative of 0*t - 3 + 0*t**2 - 1\/3*t**3. Give n(z(o)).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88 or -22294?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19277470.\nAnswer: 2, 5, 811, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/68322 and -52\/512415.\nAnswer: 1024830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 8954 - 322\/(-46). Suppose -4*u - u = y - 22405, 2*u - 3*y - k = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lly when three letters picked without replacement from ylyyyyylyyyyyyyyyy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 115. Let h = -19 - d. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/27 + (-1106)\/(-6). Suppose -3*c - 3*p + f = 0, -6*p = -3*c - 4*p + 188. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25727079 equal to -25727082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1 - (-2 + -3)). Suppose 0*m - 12 = 2*m. Let i = m + q. Solve b = 0, 0*r - 8 = -2*r + i*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/48)\/((-258)\/64*-8)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 + 7*h - 10. Determine z(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24696?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**8\/168 - y**7\/105 + y**6\/12 + y**5\/30 - 2*y**4\/3 + 4*y**3\/3 + 15*y**2. Suppose u(w) = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 = k - 3*k, 0 = -5*k. Suppose -4*p - 11 = -27. Let u be (p - 1) + -4 + h. What is the greatest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*m + 102*m = 1820 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4\/18)*163894\/38817.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -525 (base 7) to base 10.\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27954 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 15) to base 12\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 100 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 4. Let l be a(0). Let m be (2 - (5 - 1))\/(14 + -11). What is the closest to 0.1 in -0.5, l, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2241, 9080, 20443, 36330?\n\"Answer: 2262*d**2 + 53*d - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3398 - 3400 - (-4 + (0 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -274\nAnswer: 3\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/256 + 12879\/3240?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2542 - -2539) + (0 - (-18 - -1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -244, -973, -2202, -3937, -6184, -8949?\n\"Answer: -g**3 - 244*g**2 + 10*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.38886?\nAnswer: 1.16658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1800) + (sqrt(2)*-2 + 2 - ((sqrt(2) - -1*sqrt(2)) + -4))**2)*-1*2*-3.\nAnswer: -108*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 10) + (-320)\/(-48).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let d(h) be the third derivative of -h**4\/24 - 5*h**3\/6 + 2*h**2. Let c be 52\/(-14) + (-2)\/7. Let p(r) = 1. Calculate c*p(u) + g*d(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 995983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081978633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzzzfzuuuzufa. Give prob of sequence uzu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 2*a**2 - 4. Let q(t) be the first derivative of t**3\/3 - t - 53. Let v be (4\/(-2))\/(-1*2). Calculate v*i(k) - 2*q(k).\nAnswer: -k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d + 3b?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -5, 1, 135168, -4 in ascending order.\nAnswer: -6, -5, -4, -1, 1, 135168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = 7*l + 8*l - 4, 3*f + 2*l + 18 = -23 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53250, 426338, 1439108, 3411396, 6663038, 11513870, 18283728, 27292448?\nAnswer: 38859866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(7\/2)\/p)\/p**12)\/((p**(-5\/3)*p)\/(p*p\/(p*p*p**16))))**(17\/4) assuming p is positive.\nAnswer: p**(-2431\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33098 is divided by 2360.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 5:02 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 163204\/43 or 3795?\nAnswer: 163204\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 + 3*k**3 + 2*k**3 + 6*k**3 + 0*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/8)\/((-27)\/24). Let a = 0.3 + -1.3. Let u = 691821 + -691830. What is the biggest value in u, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 872423393 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w - 5. What is v(-13)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {u: 2, f: 3, h: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 2113233795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*x - 95 + 11, 3*x = 2*d - 168. Suppose -4*u + d + 152 = 0. Calculate the remainder when u is divided by (-11)\/33 + 92\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m\/(m\/(m\/(m**(-4\/11)\/m))))))\/m)\/(m\/(m**13*m)) assuming m is positive.\nAnswer: m**(169\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214248687?\nAnswer: 1214248687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4*s + 20, 109*j = 114*j - 5*s + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:48 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_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: Is 5 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 6, -j - 26*t + 2 = -27*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from vvrur?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 + 200*g**2\/3 - 8*g\/3 - 800\/3.\nAnswer: 2*(g - 2)*(g + 2)*(g + 100)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 7*v**2 + 4. Let o be h(7). Suppose j = 2*j - o*w, 16 = 3*j + 4*w. Let -a**2 + 4 + a - j - 2*a = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -22*b**2 + 137*b - 11. Let y be k(5). Which is bigger: y or 3\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7277 (base 9) to base 2\nAnswer: -1010011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 - 2*t + 6. Let d be x(5). Let a be (-3396)\/(-28) - d\/(-14). Let s = -57 + a. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2 - 17356*n - 2444388 = 0.\nAnswer: -17214, -142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3581700 rounded to the nearest ten thousand?\nAnswer: -3580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = 17. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1596 divided by 133\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-4)\/(-12)). Let q(f) = -1. Let o = 463 + -453. Let v(j) = -2*j + 4 + 1 + 3. Give o*q(r) + u*v(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 53. Which is the third smallest value? (a) z (b) -5 (c) 4 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 14. Let g = 1.00043 + y. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + c + 4, 3*t - 22 = -4*c. Suppose s = -s + 4. Let x = s - t. Solve x = 5*a - 5*l, 7 = -5*a + 2*l + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) -0.5 (b) 1\/7 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(7) + -3 + (sqrt(19) - (-5 + 3 + sqrt(19) + sqrt(19))))*4 + ((-3 + 1*sqrt(171) - sqrt(171)) + 1*sqrt(171) + 0)**2.\nAnswer: -18*sqrt(19) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/r**(-9\/2))\/r*r)\/(r\/(r\/r**(-9\/10))))**10 assuming r is positive.\nAnswer: r**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137916423?\nAnswer: 3, 719, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29027, -29026, -29025, -29024, -29023, -29022?\nAnswer: -29021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**4 - 45*l - 3*l**4 - 30*l**2 + 64*l**6 - 84*l**5 + 87*l**5 + 20*l**2 wrt l.\nAnswer: 7680*l**3 + 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-440)\/(-30))\/(4\/3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 768 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327685 take away 0.472?\nAnswer: 2327684.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2\/19, -2\/3, 3, -3 in decreasing order.\nAnswer: 14, 3, 2\/19, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 14*w**2 + 15*w - 37. Let n be q(-15). Let l = n - -70. Let k = l + -31. Solve 1 = 3*t - k*r - 6, 3*t = -4*r + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-5)\/10)*(-36)\/(-96).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -237, -548, -995, -1584, -2321, -3212?\nAnswer: -4263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(-52*x - 66 + 66) + 0 + 0 + x + (0*x + 3*x - 2*x)*(6 - 2 + 0) as f + p*x and give p.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 8 + 0 + 2*l**4 - 10 as j*l**3 + n*l**4 + g + v*l + h*l**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7345.765 decades?\nAnswer: 881491.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18000, -36095, -54252, -72471, -90752?\n\"Answer: -31*x**2 - 18002*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*i = 5*q - 10, -q = 2*i - 20. Suppose 0 = -x + 5*f + 56, f + f = -q. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m = -24. Let v = -10 - -8. Suppose 0 = -0*q + q + 4, -t - 5*q = 21. Sort v, m, t in decreasing order.\nAnswer: t, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/155)\/(2802\/2335)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05748 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2. Let b = -3 - -5. Let i(a) = a**2 - 4*a**b + a**2. Determine n(i(p)).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from brfrzzrwzrwwffzgr.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.4, 145624?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1452803868 divided by 6.\nAnswer: -242133978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -206\/454517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -827, -1241?\nAnswer: -1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyp when four letters picked without replacement from ylpyppjpo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0947 rounded to 3 decimal places?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 688559204 to the power of 1\/2, to the nearest integer?\nAnswer: 26240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 divided by 49.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74170, -74174, -74180, -74188, -74198, -74210, -74224?\nAnswer: -74240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 2\/5, -2\/7, -29.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, 2\/435, -5, 7 in decreasing order.\nAnswer: 7, 0.2, 2\/435, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**4\/24 + b**3\/2 - 4*b**2. Let q be (-3 - (1 + 0))\/2. Let p(y) = -4*y + 8. Let v(o) = q*p(o) + 7*g(o). Give v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1 + 7)\/(-16)*1196\/23\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7488) + 0)**2 - sqrt(117)\/(sqrt(900) - (sqrt(900) + -2*sqrt(900)) - sqrt(900)).\nAnswer: -sqrt(13)\/10 + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + ((sqrt(132) + sqrt(132) + sqrt(132)*5)\/sqrt(11)*5)\/(-2*(sqrt(8)*-4)\/sqrt(2)))**2.\nAnswer: -175*sqrt(3)\/4 + 5531\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-15)*12\/40. Let i = -1256.018 - -1259. Let d = i - -0.018. Which is the second smallest value? (a) p (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 + 1 + -1 + 0 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -501, -519, -549, -597, -669, -771?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from qdqqddddddqq.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393*o = 463*o - 8981910000. What is o rounded to the nearest 1000000?\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 - 83346*l\/7 + 14329071\/7.\nAnswer: 3*(l - 27609)*(l - 173)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0 (b) -31 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 4:31 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/3)\/((-6)\/4266) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(11\/3)\/(p**(-7\/6)\/p))\/((p*p**0)\/p*p)**(-3\/8) assuming p is positive.\nAnswer: p**(149\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 522.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -81430*z - 14. Let c(b) = -4*b + 9. Let w be c(4). Let y be l(w). Suppose 7*h - 2*h + 3*n = 950003, 3*h - 4*n = y. Round h to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -31821156*s. Let z(g) = -3*g. What is z(t(r))?\nAnswer: 95463468*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -34*p**3 + 4*p**2 + 4*p - 4. Let i(g) = -105*g**3 + 133*g - 133 + 115*g**2 + 18*g**2 - 306*g**3 - 710*g**3. Calculate 4*i(f) - 133*k(f).\nAnswer: 38*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eig when three letters picked without replacement from eig?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4078*d - 11843*d - 5330*d.\nAnswer: -21251*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/((-4)\/(-12)*(-2 + 3)). Which is smaller: v or 1959?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200137, -200144, -200161, -200194, -200249?\nAnswer: -200332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n**2 - 3. Let z(c) be the third derivative of -11*c**5\/20 + 4*c**3\/3 - 45*c**2. What is -8*t(q) - 3*z(q)?\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 - 13*i**2 - i + 8. Let t be l(-6). Find the second derivative of -185*w**3 - 18*w + 353*w**3 - t*w**3 wrt w.\nAnswer: -156*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 - 2 + 2)*(7 + 3 - 4).\nAnswer: 30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and -645530.975?\nAnswer: 645518.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-three eighths of a kilogram?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 8 + 15. Let w = m - 2. Suppose 0 = 4*r + r + w*z - 25, 4 = -4*z. Solve -u + 2*u - 5 = -x, -2*x + 2*u - r = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2, 2\/31, 52, 0.5 in increasing order.\nAnswer: -2, 2\/31, 2\/7, 0.5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.1. Let c = -4 + 4.03. Which is bigger: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + 76. Let k(v) be the first derivative of 2*v**3 - 9 - 6*v + 1\/4*v**4 + 3\/2*v**m. Give k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:37 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 10) to base 13\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, n: 7, m: 6}. Give prob of sequence mw.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -72, 1, 9, 5 in decreasing order.\nAnswer: 9, 5, 4, 1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-202)\/606*345\/7\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let a(l) = -45*l**2. Let k(d) = 22*d**2 - 60*d**2 + 17*d**2 + 12*d**2. Let b(f) = 6*a(f) - 33*k(f). What is p(b(n))?\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/14*406245\/23214\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2150 - 664444?\nAnswer: -662264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7755 is divided by 76?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -540, -558, -590, -642, -720, -830?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 111*t**3 + 527332*t**2 - 527319*t**2 + 10*t**3 as a + i*t**3 + g*t**2 + s*t and give i.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139362?\nAnswer: 2, 3, 23227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 + 24 - 30 - -1681493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -15. Which is greater: r or 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 184.4521km?\nAnswer: 184452100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 36*c = 17*c + 14*c + 25, 7 = c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -10. Suppose -11 - 31 = -2*z + 2*w, -3*w = -i. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 + 282*u - 6688 = 0 for u.\nAnswer: -304, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244 (base 6) in base 4?\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.726 - 0.144. Let b = g + 2. Let d = b + 2.87. What is the second smallest value in 1\/4, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.034742387 rounded to 3 dps?\nAnswer: 1.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 20. Let p = 7 - s. Let i(f) = 4*f - 5. Let x(m) = -m - 1. Let c(o) = p*x(o) - i(o). Determine c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -25*l**3 + 2*l**2 + 52*l + 31. Calculate the remainder when g(-5) is divided by 419.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1362*k - 171630. What is t(126)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t - 7. Suppose 44*z - 20 = 39*z. Let b be l(z). Suppose x = m + 183, -2*m = -b*x + m + 925. What are the prime factors of x?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 13 = -5*w - 3*p, 4*p - 13 = -3*w. Let k be w\/4 - 46\/8. Let x = k + 11. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r + 3*r)*(r**2 - 5*r**2 - 5*r**2).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 3.638?\nAnswer: 2.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -1965 (b) 0.3 (c) -3\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**3 - 3*a**2 + 7. Let m(v) = -3*v**3 - 3*v**2 + 6. Calculate -2*d(p) + 3*m(p).\nAnswer: -p**3 - 3*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -178, 5, 42 in decreasing order.\nAnswer: 42, 5, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239.5 and 0.333.\nAnswer: 79.7535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1952, -8364, -19170, -34376, -53988?\n\"Answer: -c**3 - 2191*c**2 + 168*c + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {p: 4, i: 6, g: 1, m: 4}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**12*q*q))\/q*q)**(-17)*(q*q\/(q\/(q*q**(15\/4))*q)*q*q*q*q)\/(q*q**(-10)*q) assuming q is positive.\nAnswer: q**(951\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265.01354 + -265. What is v rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 - 87.07. Let l = g - -0.07. What is the smallest value in 2, -2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/10)*p*p*p*p\/(((p*p**(-1\/5)\/p)\/p*p)\/p))\/(p**(2\/7)\/p*p**(-4\/5)\/p) assuming p is positive.\nAnswer: p**(533\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 14*t**2 - 6*t + 43. Give c(-14).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/7 + 386*f**2\/7 + 1904*f - 16128 = 0?\nAnswer: -144, -56, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*j**3 - 475*j**3 + 668*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f + 35. Let g be l(-5). Suppose g = s + 5, -2*o - s + 494 = -3*s. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a2 (base 14) in base 13?\nAnswer: -1894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 23982*r + 167967. Determine o(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -21 + 69. Let i be b\/5*70\/(-42). Solve -2*x - x + 23 = -4*v, i*v = -20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - j + 1 = -3, -a - 3*j - 24 = 0. Let b(p) = p + 11. Let c be b(a). Solve -c*r + r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6670 and 390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -144, -329, -598, -957, -1412, -1969, -2634?\nAnswer: -3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32075557 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5907*l - 11766. What is the units digit of u(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5448 divided by 1362.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 - 57*x**3\/4 + 493*x**2\/2 - 1032*x - 3168.\nAnswer: (x - 24)**2*(x - 11)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102.9 - -70.9. Which is smaller: 0.5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*m + 62 - 1, 0 = -3*m - k + 53. Let c = m - 12. Suppose o + 314 = c*o + 2*h, -166 = -2*o + 2*h. What is the greatest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1.2 (c) -0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-4)*120\/(-100)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0482 and -0.115.\nAnswer: -0.005543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 171399 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7789.53 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 117. Let n be p(-23). Solve 0 = z + z + 3*o + 1, n*z - 14 = 2*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 605 * -0.107\nAnswer: -64.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21640\/(-15148)*(18\/(-4) + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7*(0\/(-6) - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 10*o**4 + 0*o - 7*o**5 - 6*o**5 + 4*o + 15*o**5 + 18*o**3 + 14*o**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/10 or 1481?\nAnswer: 1481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-25) + (-4)\/(-10). Let s(a) = 3*a**3 + 16*a**2 + 27*a. Let r be s(-2). What is the closest to -1 in r, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, o: 12}. Give prob of picking 1 u and 2 o.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**3 - 10*c**2 + 215*c - 200 = 0.\nAnswer: -8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 58. Solve -5*j = -r*j + 4*c + 3, -2*c + 12 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**2 - s + 14. Let f(r) = -19*r**2 + 3*r - 41. Let y(i) = -3*f(i) - 8*j(i). Determine y(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 62*u**2 + 402*u + 26. Calculate l(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 145*h - 325. Let n(v) = -v**2 + 72*v - 163. Let q(y) = -2*k(y) + 5*n(y). Factor q(i).\nAnswer: -5*(i - 11)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + (18 - 1) + 53 + 0 + -94.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518971 is divided by 245.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0087486s to nanoseconds.\nAnswer: 8748600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5574.59 times -10\nAnswer: -55745.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 7*s**2 + s - 9. Let l = -26 - -29. Let n be 3 + (1 - 4)\/(l\/6). What is the least common multiple of u(n) and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 84*r**2 + 75*r**2 + 79*r**2 - 24*r**2.\nAnswer: 213*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 6\/37, 5, 0.4, -2\/9?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:11 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -61 + -23 + 35\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3652)*20746\/(-2829).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 7. Suppose -1 = -5*a - 4*d + 4, -4*d = -4*a + 40. Let f(r) = -r**3 + 5*r**2 - 5. Let i be f(a). What are the prime factors of j(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*o + 236*o + 23 + 256*o - 1013*o + 265*o.\nAnswer: 2*o + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7887\/(-220))\/(83\/(-24)). Let j = 36\/83 + k. Calculate the common denominator of 31\/10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2654468?\nAnswer: 2, 31, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3) + sqrt(3) + -1 + -5 - sqrt(36)\/(sqrt(36)\/sqrt(3))))**2 + -4.\nAnswer: -300*sqrt(3) + 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 2*j, -3*j - 3*z + 11 = -4. Let h = j + -4. Is h at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 3*l - 7331*l**2 - 1002*l**2.\nAnswer: -8333*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91.66652 - 2.\nAnswer: -93.66652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.1237um to nanometers.\nAnswer: 90123.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/15)\/((-20154)\/(-3360) + -6). Which is smaller: -222 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o. Let k be c(1). Suppose 5*b - k = 2*y, -b = y - 4 - 3. Solve -2*q + b = -5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + p**2 - 2*p - 4. Suppose -4*r = -2*o - 12, 2 = -0*r + 2*r. List the prime factors of g(o).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - k - k)*((-1 + 1 + 1)*(-1 + 5 - 1) + 0 - 19 + 4) to q*k + z and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 10*h + 9. Let y be j(-9). Suppose y*t + 16 = t. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2996153 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -105*c + 229. Calculate i(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231418 and 2211?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 1:02 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 1, o: 5, q: 7, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + m - 30, -255 = -7*y + 139*m - 147*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 33095916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 320\/18)*81\/18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1630233512 to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -3\/4, -13, -4, -0.03 in ascending order.\nAnswer: -13, -4, -3, -3\/4, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161262797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/224499 and 163\/36817836.\nAnswer: 36817836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 599953997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20*u**3 - 24*u**2 + 24*u. Let n(r) = -11241*r**3 + 5*r**2 + 0*r + 11245*r**3 - 5*r. What is 24*n(y) + 5*o(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1103 - -1102.9993944. What is o rounded to 5 decimal places?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66284?\nAnswer: 2, 73, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222693.1mg to nanograms.\nAnswer: 222693100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2 = 11. Let i = -120 - c. Round i to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 10*k**2 - 3*k + 30. Let w be v(10). Suppose w = x - 5*r + 8, 0*x - r + 24 = 3*x. What is the remainder when 45 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2*(-2 - (-62889219)\/6). Let m = o + -39663070. Round m to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1110 divided by 453.\nAnswer: 370\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 1:21 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 3)*(-8 + 8 - s**2)*(-2 - 2 + 2).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 132 from 0.038727666.\nAnswer: -131.961272334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 2. Let c(u) = -u**2 - 27*u - 12. Let m be c(-13). Suppose -166*z = -m*z - 12. Calculate r(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:35 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.477 - 75.477. Are -1\/2 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -39209*m - 1685979. Calculate y(-43).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 54. Let s = 438 + -405. Suppose -8*t - 250 = -s*t. Calculate the remainder when a is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111343669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u + 119 = -79 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1828567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 5, n: 3, k: 1}. Give prob of picking 1 c, 1 k, and 2 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1405193, 1405174, 1405155, 1405136?\nAnswer: 1405117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163361959?\nAnswer: 17, 29, 229, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317951, -635910, -953869, -1271828?\nAnswer: -1589787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 366 + 208. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -0.3, -17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1314, 5151, 11520, 20433, 31902, 45939, 62556, 81765?\n\"Answer: 2*k**3 + 1254*k**2 + 61*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/18))**(-4\/5)\/(h**50*h*h)**13 assuming h is positive.\nAnswer: h**(-30454\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -3*z + 1\/24*z**4 - 2*z**2 + 71\/6*z**3 + 0*z**5 - 193\/120*z**6 + 0. Find the second derivative of d(u) wrt u.\nAnswer: -1158*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2117514 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3069*y**2 + 2995*y**2 - 5409*y**2 + 6*y - 4*y.\nAnswer: 655*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76.51 + 76. Let r = 0.01 + u. Let s = r - -4.5. What is the closest to -2 in -4, 0.1, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 + 69*d**2 + 393*d + 88. Calculate y(-13).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -3\/2*x**5 - 2*x + 0 + 0*x**4 - 47\/6*x**3 + 0*x**2. Find the second derivative of g(f) wrt f.\nAnswer: -180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*n = 6337, 0*p - 5*n - 7910 = -5*p. Does 58 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 1 g when three letters picked without replacement from twalegeeelgg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -375*v**4 + 5628*v**3 - 5295*v**2 + 42*v = 0. What is v?\nAnswer: 0, 1\/125, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19963480 a multiple of 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort -149, -12, -2 in decreasing order.\nAnswer: -2, -12, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43090729 and 35256051?\nAnswer: 387816561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -24*t + 388. Solve -c + 15 - t = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1923 or 1\/4?\nAnswer: -2\/1923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*(j**(-1\/2)*j*j)\/j*j*(j*j*j**(-1))**40)\/((j*(j\/(j\/j**(3\/8))*j)\/j*j)\/(j\/(j*j\/(j**(-5)\/j))))**(-7\/5) assuming j is positive.\nAnswer: j**(501\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p + 355. List the prime factors of o(0).\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3 - 137*j**2 + 60.\nAnswer: 6*j**2 - 274*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmlpl. Give prob of sequence lp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 111203?\nAnswer: 111132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, n: 8, m: 2}. Give prob of picking 1 j, 2 n, and 1 m.\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 898 - 745. Put 3, -5, x in decreasing order.\nAnswer: x, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8016, 8386, 8756, 9126?\n\"Answer: 370*f + 7646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 16537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let w(b) = 1 + 10*b - 1 - b. Give w(p(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**3 + 3*r**2\/2 + 13*r. Determine h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162) - sqrt(18))**2*-4 + 2*(sqrt(2) - sqrt(18)) + sqrt(2) + sqrt(288)*-2.\nAnswer: -1152 - 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640 = -5*g - 10*g - 17*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12328248, -12328245, -12328242, -12328239, -12328236, -12328233?\nAnswer: -12328230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = j - 1, -4*j + 4 = 1406*v - 1408*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78401280*g**3 - 414247784*g.\nAnswer: -470407680*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*n - 2872 + 8452 = 218*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*b - 1370 = 0, 0 = 4*v + 85*b - 84*b - 1362. Calculate the greatest common factor of 935 and v.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 9*p = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 20*a. Let h(r) = -r. Determine -2*h(w) + q(w).\nAnswer: -2*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (5 + sqrt(704) + sqrt(704)*-2)) + sqrt(704) + sqrt(704))**2.\nAnswer: -320*sqrt(11) + 11289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-13)\/g*g)*(g\/(g*((((g\/(g*g*g**(2\/29)))\/g*g)\/g*g)\/g)\/g))\/g*g assuming g is positive.\nAnswer: g**(495\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 13*k**2 - k. Let q(j) = -20*j**3 - 214*j**2 + 5*j + 4. Give -q(y) - 6*v(y).\nAnswer: 2*y**3 + 136*y**2 + y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 24*j - 16. What is the units digit of z(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*j + 141, -184 + 943 = 5*z + 2*j. Let n = -5 - -73. Suppose -5*m = -m - n. What is the highest common divisor of z and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = 10. Solve 0*x + x = -2*a - 3, l = -2*a - 3*x - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*q**2 + 124*c**2*q + 40*c*q**3 - 3*q**3 wrt q.\nAnswer: 2*c**2 + 240*c*q - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2 + (-15)\/(-6). Suppose 3 = 7*g - f*g. What is the highest common divisor of 3 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 3*z + 7. Let p be a(-4). Solve 0 = 2*m + 5*s - 18, -s + 17 = p*m + 4*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110510 and 142330.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*k = 17, 3*l - 9211*k + 9216*k - 18 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 240289316 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**7\/630 + b**6\/180 - b**4\/36 + b**3\/18 + 4*b**2. Factor c(g).\nAnswer: -(g - 1)**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-2))\/(-16))\/((-1)\/(-6))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (15 - 21) - -5) + -41.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:12 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 170. Is 17 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33203184.77 to the nearest 1000.\nAnswer: 33203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/19 - 33960504*o\/19 - 144164478991752\/19 = 0. Calculate o.\nAnswer: -8490126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2899 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:18 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108039659141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*h*y**5 + 10617984*h*y**2 + 9368891*y**6 + 2*y**2 wrt y?\nAnswer: 2160*h*y**2 + 1124266920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1709 - -5119\/6836. What is the smallest value in m, -4, 3\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, 0.13, 2 in descending order.\nAnswer: 2, 0.3, 0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8\/y**(3\/7))\/(y*y**(2\/7))**(-1\/48)*((y**(1\/7)*y)\/y)\/y*y**(-5)*(y*(y\/y**(2\/3))\/y*y)**(3\/17) assuming y is positive.\nAnswer: y**(3763\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3971482.596 and -0.9.\nAnswer: -3971483.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2.7, 0.3, -4.3 in ascending order.\nAnswer: -4.3, -2.7, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145365 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12b + -5?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3303 = -2*y - 5*h, h - 31 = -26. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -379430560*c. Let a(m) = 2*m**2. Calculate a(v(j)).\nAnswer: 287935099723827200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3*c)*(-2*c + 4*c - c) + (3 - 5 + 3)*(-2*c**2 + 21*c**2 + 3*c**2) in the form s*c**2 + l + d*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from occngo. What is prob of sequence gco?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 2*g**3 + 3*g**3)*(3 - 5 + 0).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (sqrt(1088) + 0 + sqrt(1088))) + -3 + (sqrt(1088) + 1*sqrt(1088))*-6 + sqrt(1088))**2.\nAnswer: 576*sqrt(17) + 156681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in 287, -5, 3, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**4\/4 - 8*s**3\/3 - 11*s**2\/2 + 11*s - 11. Suppose 142*k - 1388 = -110. Determine j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2 - 5 - m**3 + 7 + m**2. What is w(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 6*v + 5. Suppose -102*o + 528 = -94*o. Calculate the remainder when o is divided by m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**2 + 2*r**3 - 7*r**3 + 7*r - 3*r + 6*r**3. Let p be m(-5). Find the second derivative of -4*b**2 + 0*b**2 - p*b + b + 24*b wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196 + -1374\/7. Let z = 0 + 3. Let m be (2\/(-6))\/(1\/(-3)). Which is the closest to o? (a) 5\/6 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39914807.\nAnswer: 5399, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, s: 1, f: 3, y: 3}. What is prob of sequence gs?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 2. Let x(j) = j**2 - 11*j - 27. Let w be x(13). Let f be k(w). Is f\/((-5)\/(-55)*-1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/82892 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7427 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 160, 329, 516, 727, 968, 1245, 1564?\n\"Answer: a**3 + 3*a**2 + 153*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*q - 5*i, 5*q + i = -2*i + 58. Suppose -8 = -s + q. What is the greatest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.16766927 rounded to 1 dp?\nAnswer: 45.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 56011*g**2 + 56010*g.\nAnswer: g*(g + 1)*(g + 56010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-20)\/(2 - 6). Suppose 0 = -3*y - 2*y + 20. Solve y*p = -3*o - 16 - g, 2*o = p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 3*g**4\/2 - g**3\/3 - 35*g**2 + 39. Find the third derivative of l(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58905\/819 - 75 - ((-2)\/6)\/(4\/24)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t. Let h(l) = -l**3 + 5*l**2 + 7*l - 3. Let u be h(6). Let a(d) = -8*d - u + 3 + 2*d. What is -4*a(b) - 5*o(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 4:08 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*h = -127*h - 4*w + 4168, 8*w = -5*h + 20888. Is h > 4184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007101 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5)\/(v**(2\/13)\/v))\/(v\/(v\/v**(-4\/5))*v**0\/v)*(v**(-5)\/(v*(v*(v\/(v\/v**(-4\/3)))\/v)\/v*v))\/(v**(-3\/5)\/v**5) assuming v is positive.\nAnswer: v**(163\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (1 - 1) - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(2\/(-112)*-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1576405*f*m**3 - 162*f*m + 21693*f + m**3 wrt m?\nAnswer: 9458430*f*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12973000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 1150c1?\nAnswer: 1150b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6487232500 minus -12?\nAnswer: -6487232488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 842, 1455, 2060, 2669, 3294, 3947, 4640, 5385?\n\"Answer: 2*q**3 - 16*q**2 + 647*q + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 4*l + 4. Let w be a(3). Find the second derivative of -33*i**2 + 12*i + w*i**2 + 9*i**2 + i**2 wrt i.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -167\/2*m**2 + 127*m - 1\/3*m**3 - 26. What is the first derivative of w(z) wrt z?\nAnswer: -2*z - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (19 + (-8 - 28)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 14*j**2 + 25*j - 13. Suppose -165 = -5*b - 105. Let a be i(b). Which is bigger: a or 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 7*d - 8. Let n be r(7). Let w(q) be the second derivative of q**4\/6 - 2*q**3\/3 + 3*q**2\/2 - q. Is w(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/24)\/((-2)\/(-96)). Does 16 divide (-384)\/j*3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-21 + -36 + -35)) + -13?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5616.014 kilometers?\nAnswer: 5616014000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p + 3. Let o be b(0). Suppose -5*f + 21 + 107 = -t, -3*f - o*t = -66. What is the remainder when 67 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -35. Let i = 10\/9 - 68\/45. Which is the closest to j? (a) 0.5 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and (7 - -770)\/7 - -9.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25679 + 3?\nAnswer: 25681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i + 3*i - 6*i)*(-2439 - 58*i + 2439 + (2*i - 2*i + 2*i)*(3 - 1 - 3) + i + 5*i - 3*i).\nAnswer: 627*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 21 = -3*u. Which is greater: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -p + 6. Suppose -2*o = -2*b - 8, 5*o - 18 = b + 2. Suppose -3*w - 6 = b, 0 = -3*z - 0*z - w + p. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65.982 - -66. Let n = 0.0288 - m. Round n to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2953512 is divided by 958?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**2 - u**2 + 5*u**2 - 4 + 9*u**2.\nAnswer: -10*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16318111 + -228559603\/14. Suppose 0 = 3*m - 21804 - 900. Let g = v + m. What is the common denominator of g and 31\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 22639120?\nAnswer: 113195600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - 2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42567148 is divided by 6081010.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2279\/11320 - 3\/2264. Let n = -12 + 19. Which is the third smallest value? (a) n (b) t (c) -3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199*z - 101*z - 2 - 99*z - 11*z**2)*(-z**2 + 0*z**2 + 0*z**2).\nAnswer: 11*z**4 + z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 303 - 2770 - 1847)*(5 - 3 - 1).\nAnswer: l - 4314","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s - 27 = -27. What is the units digit of (-3 - 15)*((-580)\/6 + s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10114 (base 5) to base 13\nAnswer: 3b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1296 rounded to three decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 709*h**6 - 6*h**2 + 39 wrt h.\nAnswer: 85080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 836 = 76*o + 2690 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-6)*(-60)\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - l**2 + 8*l**3 + 4 - 2 as o + c*l**2 + t*l + i*l**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 2 + k**2 + 2 + k**3 + 3 - 4. Let s be w(-2). Which is smaller: -7 or s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + r**3 + 3*r - 3*r - 5*r + 0*r**2 - 4. Let y be o(-3). Let u(w) = -w + 1. Determine u(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25503647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2786 - 0.8\nAnswer: -2786.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:48 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 - (410 - -16)\/71*(-1)\/(-4)*2?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from szx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9590 and 6713.\nAnswer: 67130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2 - 1230*h - 2480 = 0. Calculate h.\nAnswer: -2, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-12) - (-46)\/(-4). Let h = 18 + s. Suppose 0 = 11*f - h*f - 152. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i + 22*i + 81*i.\nAnswer: 149*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:25 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(85)*-6)\/(1*sqrt(180)) - (-4 + 1*sqrt(17) - (sqrt(17) - sqrt(34)\/(sqrt(16)\/sqrt(8)))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**8\/4200 - o**7\/840 + o**6\/450 - o**5\/600 + 4*o**3 + 224. Let j(r) be the third derivative of s(r). Solve j(x) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.581 - -1.581. What is the second smallest value in 98, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w. Let g be (-1)\/(825\/925) + (-2)\/6. Is g <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**6\/120 - c**5\/10 + c**4\/6 + c**2. Let l = 18 - 1. Suppose -5*m = -b + 15, -3*m = 3*b - 4*m - l. Calculate p(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.39 and -1.011.\nAnswer: -0.39429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*j + (1 + 2 - 1)*(-2 + 2*j + 2))*(-20 + 13 + j + 0*j).\nAnswer: 6*j**2 - 42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 147\/8 (b) -0.2 (c) 2 (d) -7\/5 (e) -7 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-16))\/((-27)\/57)*8\/16.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(77) - sqrt(77))*1 - sqrt(77))*4)\/((-2*sqrt(22))\/sqrt(2) - -6*(sqrt(11) + sqrt(99))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**6\/24 - u**4\/16 - 64. Factor k(b).\nAnswer: b**3*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z + 65*z - 28*z + 2015 = 0. Is z > -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335189406 to the power of 1\/3, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 6*h - 9. Let f be m(-7). Let x = -2 - -4. Sort x, f, -5.\nAnswer: -5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (623\/89)\/((-3822)\/(-84))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748636.\nAnswer: 2, 437159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 413848 and 59160.\nAnswer: 180023880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 24. Let q = -50 - -29. Is l(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2910 - 2895. Which is the second biggest value? (a) -0.5 (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/3)\/d)\/(d**(1\/3)\/d)*(d**(-1\/2))**(-32))\/((d**(-2\/7)\/d)**(6\/13)\/(d*d**1*d)**(-35)) assuming d is positive.\nAnswer: d**(-24590\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = 2*q - 3*v - 2*v, 2*v + 1260 = -4*q. Let u = q - -449. Let n = 4 + 11. Calculate the greatest common divisor of u and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = 44*d + 58 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 j when four letters picked without replacement from {s: 2, j: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 3*s**2 + s**4 + 176038 - s**2 - 176107 to the form c*s + u*s**2 + j + o*s**3 + a*s**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27330359 and 329.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 6*v**4 - 9 - 13 - v**3 - 102*v**4 - 2*v to the form q*v**2 + u*v + c*v**3 + h + d*v**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*u)*(-u + 4*u + 0*u) + 3*u - 3*u - u**2 - u**2 + 6*u**2 - 6*u**2 as r*u**2 + h*u + z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/90 less than or equal to 0.052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110660 and 442640?\nAnswer: 442640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19 - 21 - 20*-3. Let m = l - 56. Factor -5 + 24*h + m*h**4 - 6*h**3 - h**4 + 2 + h**2 + 19.\nAnswer: (h - 4)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104393 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -574 (b) 0.5 (c) 1\/43 (d) -16 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 - 22 = -52*n + 239 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-55)*-315 + 2\/11. Is a less than or equal to -1878\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, 5, -21, 3, -4.\nAnswer: -21, -4, 3, 5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/45*-3*-3*-22511. Let z = c + -7540. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-12)\/(-18)*6\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -69. Sort q, 4, 20.\nAnswer: q, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2131 and 47433929?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u = 35*u - 919 - 56. What is the highest common factor of 9893 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4826*r - 3912*r - 1647*r + 1671*r.\nAnswer: -8714*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(425) + 4 + -2 + ((sqrt(425) + 2)**2 - sqrt(425))).\nAnswer: -2155 - 125*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9867 at most as big as -128282\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 1, f: 4, i: 2, h: 1, r: 3}. Give prob of picking 2 i, 1 b, and 1 l.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(128) + -3))**2.\nAnswer: 192*sqrt(2) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -9)\/(9\/6). Suppose 10 = -a - 4*r, -7 = r - 4. Put -1, h, a in descending order.\nAnswer: a, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556108658.\nAnswer: 2, 3, 13, 61, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 25 = -95. Suppose -5*s + 20 = -0*s. Suppose s*r = -r + 80. Calculate the remainder when l is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 406 + 406.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h**(1\/4)\/h))**(1\/28))**(-15))**(-26) assuming h is positive.\nAnswer: h**(2145\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -1\/30*n**5 + 0*n - 3 + 8\/3*n**3 + 45*n**2 + 7\/12*n**4. What is b in d(b) = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/327 + -295\/2616. Put 0.1, 4, -6, g in descending order.\nAnswer: 4, 0.1, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w - 44*w = -253 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2005 = 3*q, -3*w + 7501 - 1534 = -3*q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -8, 5*v - m - 60 = -6*m. Let n = 32 + -29. Calculate the remainder when (-1 - 0)\/(n\/(-186)) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3888))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 3, -104, -3 in ascending order.\nAnswer: -104, -8, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + c**2 - c - 12. Let h be a(0). What is the tens digit of (-6)\/h + (-1108)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17580, 18468, 19948, 22020, 24684, 27940?\nAnswer: 31788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10641, -10640, -10639, -10638, -10637?\nAnswer: -10636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = z - d + 28, 2*z - 25 = -5*d. Let y(u) = 3*u - 1. Let p be y(2). Let c(b) = b + 13. Let w(s) = -s - 12. Let j(l) = p*c(l) + 6*w(l). Give j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/s**(1\/10)*s\/(s\/(s**(1\/2)*s))*s*s*(s\/s**(-1\/6))\/s*(s*s**1)**(-47)*s**(2\/3)\/s**(-1\/6) assuming s is positive.\nAnswer: s**(-468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457134352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Suppose 0*d + 6 = -m*d. Let u = d - -4. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 1. Suppose 135 = y*o - 3*t - 0*t, -28 = -2*o - 4*t. What are the prime factors of o + (-4 - -2) + 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 - 109392*w**3 - 748022484*w**2 - 1495607432*w.\nAnswer: -4*w*(w + 2)*(w + 13673)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-12))\/((-1422)\/474)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 3*b**2 + b + 2. Suppose 3*i - 12 = -i. Let a be j(i). Let l = 439 - 426. Solve f + 4*z = 4*f - l, 20 = a*f - 5*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(-2*s**3 + 171 - 4*s**4 - 126 + 3*s - 56) to the form d*s + p*s**4 + t + h*s**3 + m*s**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 593377.5mg in kilograms?\nAnswer: 0.5933775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -127240 + -23667?\nAnswer: -153127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((2\/7)\/(872\/(-13734))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**2 + 3684082*y + 3506055 with respect to y.\nAnswer: 4*y + 3684082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)\/b)**(8\/11)*(b*b\/b**5*b*b)\/b**(1\/5) assuming b is positive.\nAnswer: b**(-106\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*w - 7*w = 127. Put -1, w, 5, 7 in decreasing order.\nAnswer: 7, 5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:20 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -6 - (3 + (-6 - -5))) + (12 - -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7e9 + -2b?\nAnswer: 7be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwwlwl?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 397504*k**2\/7 + 2821426598*k - 16930603956.\nAnswer: 2*(k - 6)*(k + 99379)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/7 + 55644*f\/7 - 258021228\/7.\nAnswer: -3*(f - 9274)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, e: 3, f: 7, t: 4, k: 3}. What is prob of sequence et?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -125*z - 1432. Let p(a) = -3. Let w(t) = -2*p(t) - v(t). What is the first derivative of w(m) wrt m?\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1883\/(-1883))\/(38\/(-4))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182068409 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024578 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 0*r + 0*r)*(-3*r**3 - 2*r**3 + 4*r**3 + (-r**2 - r**2 + 0*r**2)*(-6*r + 4*r + r) - 5*r + 2*r**3 + 5*r - 25*r**3 + 3*r**3 - 14*r**3).\nAnswer: -198*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1008*o - 2778. What is the units digit of s(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkhkkkh. Give prob of sequence hkk.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f + 6724. Suppose 4*h + 605 = f. Let l = 399 - h. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233\/53 or -3?\nAnswer: -233\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + -5.08. Let y = i + 7.55. Which is the third biggest value? (a) 4 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/14)\/(7\/(-49)). Suppose 6 = 13*a - p*a. What is the remainder when a is divided by (-2)\/8 + 9\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -115\/6, -603, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:59 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 47*r - 8. Let i(b) = 16*b - 3. Let h(f) = -8*i(f) + 3*q(f). Let v(k) = -17*k**2 + 21*k**2 - 2*k**2. Give h(v(a)).\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9\/(-54))\/((-2)\/174) and (-1)\/(-2)*(-321)\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 + 52 + 33 - b**2 - 6 + 48 to q + k*b + o*b**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25.09 and 3.\nAnswer: -22.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -282767 divided by 4?\nAnswer: -282767\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - -11 - (6 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -1 - 14) + 0 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -19 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(684) + 0)**2 + sqrt(684) + sqrt(171)\/((sqrt(9) + -5*sqrt(9))*-4).\nAnswer: 97*sqrt(19)\/16 + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 32 = 6*d, 3*d - 91 + 72 = 4*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 5*m**2 - 3*m - 6. Let s be i(-4). Let c be -360*(2 - s\/(-3)). What is c rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 3, f: 2, t: 1}. What is prob of picking 1 f, 1 o, and 1 d?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = j - 2*b, 0 = 3*j + j + 3*b - 25. Let g(d) = -148*d + 5913. Let m be g(40). Sort j, 1, m in decreasing order.\nAnswer: j, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36)\/sqrt(4))\/sqrt(3))**2 + sqrt(3)*-1*-4)*-1 - (1 + sqrt(432) + (sqrt(432) + (-2*sqrt(432) - sqrt(432)) + 1)**2).\nAnswer: -1733 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 + 21*i + 20 = 0 for i.\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -1\/3, -127, 0, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2129 - v - 1048 - 1081.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by ((-616)\/140)\/((-1)\/10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -2, 33374\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 1 + 0 + 9*p - 4*p. Let z(q) = q + 1. Let r(d) = 7*d + 6. Let c(j) = r(j) - 5*z(j). Let o be 1*(-8 - 20\/(-5)). What is o*c(k) + 5*m(k)?\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52548 and 248244?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k + 76. Determine m(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 13*z**2 + 15*z + 17. Let k be o(-14). Let p(a) = 14*a - 5. Calculate the remainder when p(k) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*n + 24*n = 11046 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.85 + 0.15. Let p = -13 + m. Let o = -494 - -493. Sort -0.4, p, o, -5 in decreasing order.\nAnswer: p, -0.4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -10 (c) -1\/4 (d) -1 (e) -4\/7 (f) -22\/7 (g) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 186679 = -364121. Round h to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206.629 - 7.646. Let l = 214 + i. What is l rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -12*v. Let w(h) = -h. Let q be 0 + 5 - 729\/27. Calculate q*w(d) + 2*b(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3.3, 21, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x = 70*x - 39*x + 20. Sort x, 41, 2, -7 in descending order.\nAnswer: 41, x, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10) + 378\/70.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16153 - -24?\nAnswer: -1612c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 692, 1151, 1642, 2171, 2744, 3367, 4046?\nAnswer: 4787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2331 (base 8) to base 9.\nAnswer: -1628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 59.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273780 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + w - 8*w - 2762*w**3.\nAnswer: -2762*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 86 - 336. Let t = 77 - q. Calculate the common denominator of -10\/7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 17*a**2 - 13*a - 17. Determine i(16).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-153446)\/(-34) + (-2)\/17. Let r = d + -464. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1.46, -1\/4, 1, -2, 7924?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -85*m + 8229. What is t(97)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 10*j**2 - 334*j - 5474. What is q(-14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -2\/3, -582.3, -0.9, -4, -0.019?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhtxrtr. What is prob of sequence trh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769207599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m + 4*m**4 - 6*m + (0*m**2 + m**2 + 0*m**2)*(4*m**2 + 0*m**2 - 3*m**2) + 4*m - 4*m + 2*m**4 + (-m + 1 - 1)*(2*m**3 - 2*m**3 - 2*m**3).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4377132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -461 + 1396. Calculate the highest common factor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75833458148.99999769 + -75833458461. Let s = -264 - 48. Let y = s - d. What is y rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163910659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -222 - 2?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 3:51 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11385, 11386, 11381, 11364, 11329, 11270, 11181?\nAnswer: 11056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose -2*b + 1 + 3 = 0. What is the highest common divisor of i and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02094772 to 5 dps.\nAnswer: 0.02095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 498\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 - 5 + 262)*(2 - 2 + 2)*(2*j**4 + 4*j**3 - 4*j**3)*(4 + 0 - 6) as m*j**2 + l*j + y*j**4 + u*j**3 + o and give y.\nAnswer: -2320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -156. Put -4, v, -5, -1 in descending order.\nAnswer: -1, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 14) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 0*p)*(64*p + 28*p - 29*p - p + 1 - 1 + 1 - 2*p - 1 + (0 - 1 + 3)*(-4 + 4 - 2*p)).\nAnswer: 112*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56902.\nAnswer: 2, 23, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1 + sqrt(153) + 1)*1)**2.\nAnswer: 6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8661 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-494)\/3)\/((-20)\/30). Suppose -3*x + 28 = w. Let r = x - -134. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019696 to 5 decimal places.\nAnswer: 0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.94 + 2.4.\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1335)\/5 - (4 + -1). Does 20 divide 4500\/u*(24\/10)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) 0.3 (c) -3 (d) 178\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21020111202010101 + -2?\nAnswer: -21020111202010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-140470)\/55*2\/(-4)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3 = 99*o - 96*o, 3*r - 3*o = -3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.4*0.11.\nAnswer: 0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14210000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-460)\/897 - ((-36)\/312)\/(6\/(-8)). Let x be (1\/12)\/((-3)\/(-9)). Which is the nearest to -4? (a) j (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25574 and 1346?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:52 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**6 + 3700*h**5*m**3 - 56*h**2 + 6*m**3 wrt h.\nAnswer: -120*h**3 + 222000*h**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/4)\/(-3))\/((-155)\/124).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 3*k + 6. Let i be u(3). What is the second smallest value in 2, -5, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:32 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**6\/90 + y**5\/120 + y**4\/24 - 3*y**2. Let s(r) be the second derivative of v(r). Is s(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19)*-1 + sqrt(19) + 3)*2.\nAnswer: 6 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (676\/507)\/(16\/720)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158 + 158.03. Which is greater: t or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqpqvvqqvvbvvvpvpvv. Give prob of sequence obp.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, l: 2, p: 2}. What is prob of sequence sss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 - (-491)\/6. Suppose 3*n + 5*m - 244 = 0, 0*n - 5*m + 327 = 4*n. Let r = n - u. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44 and 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - l = -2*l + 5, -3*l + 9 = -3*r. Put -2, 18, r in ascending order.\nAnswer: -2, r, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ggjgghghhghvgggj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922098 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.72 - 0.32. Let h(z) = z**2 + z - 2. Let r be h(0). Which is the smallest value? (a) r (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/780 - 3*v**5\/130 - 9*v**4\/52 - 9*v**3\/13 - 472*v**2 - 1. Factor u(p).\nAnswer: -2*(p + 3)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 5. Suppose -2*q + 134 = -0*q - 4*p, 0 = 4*q - 3*p - 288. Suppose -18*l = -21*l + q. Let c = l - 25. Determine a(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t + 3. Calculate the remainder when w(5) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 252.59 + -251.69. Let o = 4 - 3. What is the closest to o in w, -0.4, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 111413.\nAnswer: 445652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*l - 2*l + 8, -4 = 5*a + 2*l. Solve a*n + 2*n + 8 = -2*t, 0 = 5*t + 2*n + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/2)\/g*g)**35*g*g\/g**(3\/5)*g*g**(-11)*g*g assuming g is positive.\nAnswer: g**(809\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 - n - 9. Suppose 3*v + 9 = -v - 3*d, -4*v = -2*d - 6. Determine w(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from frgzr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**5 + 18*u**4 + 26*u**3 + 14*u**2 + 8. Let x(i) = -2*i**5 - 6*i**4 - 9*i**3 - 5*i**2 - 3. Let t(b) = -3*o(b) - 8*x(b). Factor t(r).\nAnswer: -2*r**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35600 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/120 - 7*u**5\/60 - u**4\/24 + 2*u**3\/3 + 28*u**2. Determine c(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-9 - -45) + -4 + (1 - -4) + 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5384\/(-6)*(-738)\/492. What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 36 + 134 = 0. Suppose 0 = -m + 4*m + 5*k - c, k + 11 = 2*m. Let z be 700\/8 - (-2)\/4. Calculate the greatest common divisor of z and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + 4*m - 4*m)*(m**2 + 4*m**2 - m**2) + 3*m**3 + m**4 - 3*m**3 as y + f*m**4 + c*m**3 + n*m + h*m**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10473?\nAnswer: 3, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 2*b**2 + b**2)*(1 - 2 - 1) + 310 - 483 - 5*b - b**2 + 212.\nAnswer: -5*b**2 - 5*b + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*i + 5. Let t(k) = k**3 + 6*k**2 + 3*k + 4. Calculate the remainder when 41 is divided by t(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 1. Let d be 1751 + (-12)\/g + 2. Suppose -301 = -7*z + d. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1612 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a - 4. Suppose -5*v + 9 = -a*v - 5*i, -2*v = -3*i - 6. Suppose v*q - 42 = -12. Calculate the greatest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 - 94. List the prime factors of (-2)\/4*-1*d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + w - 1. Let d(r) = 87*r**3 + 20*r - 4. Let p(c) = d(c) - 4*f(c). What is the second derivative of p(u) wrt u?\nAnswer: 546*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-714)\/(-140))\/((-6)\/(-84)). Which is the closest to -1? (a) 2 (b) 1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111199695 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-1 + 2 + 0)*(0 - 2 + 1)*(259 + 178 + 374)*(-4 + 4 + 3*j).\nAnswer: 4866*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140001041 (base 5) to base 7.\nAnswer: 5656232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 + 115. Suppose -a*g - 99 = -16*g. Suppose 4*v + 5*v = g. Let m(q) = q - 16. Determine m(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 21 + 10 + (2 - 4 + 3)*(0 - 2 + 1) - 4 + 2 + 0 + 0 + 4 - 2 + 1 - 1 - 1)*(1 - 2 + 2)*(5*k - k - 2*k) - 19*k + 933 - 933.\nAnswer: -43*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 2*h**4 - 2*h + (372902 - 372902 + 1305*h**2)*(0*h**2 + 0*h**2 + h**2).\nAnswer: 1303*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1400) - sqrt(56))\/sqrt(8) - sqrt(7)).\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**2 - 145*z - 840 = 0. What is z?\nAnswer: -21, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*v**3 - 10*v**2 + 47*v wrt v.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-14)*-4*(-35)\/240*-4*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -2 - (-16)\/2. Let b be -1*(-312)\/32*12\/9. Solve -3*v - b = 4*h, 0 = -3*h - v - v - j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11205?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by -18.\nAnswer: -55\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -1046, -3395, -7974, -15527, -26798?\nAnswer: -42531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(118\/1652)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 6. Let q be w(-2). Let p be q\/4*-1 - 0. Let m(k) be the first derivative of -k**2 + 2*k - 10. Calculate m(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4 - 57745\/(-11730)) + 16\/184 and -25\/1037?\nAnswer: 6222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-48)*8\/(-45)*(-10)\/(-20)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + ((1 + sqrt(833) + 1)**2 - (-4*2*sqrt(833))**2) + (-2 + sqrt(833) + -1)*-4 + -3).\nAnswer: -52465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**4\/24 - t**3\/6 + t**2\/4 + 12*t + 7. Let s(h) be the first derivative of g(h). Factor s(x).\nAnswer: (x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1058 - 54*x**2 - 544*x**2 - 1643 wrt x?\nAnswer: -1196*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 20*f. Let w(z) be the third derivative of -1\/24*z**4 + 6*z**2 + 0*z**3 + 0*z + 0. Give d(w(i)).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43549*j**3 + 2*j**2 + 5391*j?\nAnswer: -261294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -63446493 divided by 3\nAnswer: -21148831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbdlbwjd. What is prob of picking 1 t and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5\/107 (b) -0.5 (c) -1\/5 (d) -0.249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 17 - 26)*(-1 - h**3 + 6*h + 2*h**3 - 8*h)*(-2*h - 3 + 3).\nAnswer: -10*h**4 + 20*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1)*15\/(-3) + -3. Suppose 9*u = 8*u + o. Put 0, 6, u, -2 in increasing order.\nAnswer: -2, 0, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -1a?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2074, 2102, 2130?\nAnswer: 2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307654869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1985 + 760. Let f = o - 5222. Is f\/(-6) - (-10)\/60 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -17*v + 0*v**4 - 1\/4*v**5 + 0*v**2 + 0 - 19\/3*v**3. What is the second derivative of z(x) wrt x?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*m = 2*m - 964, 0 = x + 2*m - 488. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16020000 to the nearest one hundred thousand.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*390.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3, 288, 4 in increasing order.\nAnswer: -3, 1\/3, 4, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2487428 divided by 404\nAnswer: 6157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**5 - 14213*k**3*s**2 - 2*k*s**2 - k*s - 2*s**2 - 88 wrt k.\nAnswer: -40*k**3 - 85278*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000496224 to six decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 17. Let o(q) = 4*q + 6. Let s(g) = 5*g + 6. Let i(x) = 6*o(x) - 5*s(x). Determine 6*a(n) - 17*i(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238406 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 42 = 3*q. What is the tens digit of (-150)\/4*(12\/(-18) - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4603\/5 + 921. What is the second biggest value in a, 2, -3\/28, -3, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -6*z**3 - 33314978*z**2 - 44419962*z - 11104990 = 0.\nAnswer: -5552495, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 14*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65\/6 in 3931, 1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/32*2)\/(10\/16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*g - 53*g - 400. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + f + 2069 - 284, 20 = -4*f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b - 78. Let j be v(-13). Is -41 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 1209.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1084 - 876. Calculate the least common multiple of 96 and j.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 1768 = 1792, 2*u - 6 = -4*t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3965013 centimeters to micrometers.\nAnswer: 3965.013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.21 (b) -2 (c) 8 (d) -81 (e) 0.1 (f) -9 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:48 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-11)\/((-88)\/24). Sort 5, -5, 1, g in decreasing order.\nAnswer: g, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 3) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3303, -6621, -9939, -13257, -16575, -19893?\n\"Answer: -3318*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let p be (3 - z)*(0 - -1). Solve p = -5*w - 2*y - 10, 2*w - 3 + 13 = -2*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159347, -318623, -477889, -637139, -796367, -955567, -1114733?\nAnswer: -1273859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -d - 8*c, 2*d - 4*c = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3656, 7316, 10976, 14636?\n\"Answer: 3660*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 232817*t**4 - 2755377?\nAnswer: 931268*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrorziqzhhqqrioqq. Give prob of sequence zqqo.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*p + 4530 = 0, 2*o + 5*p + 0*p = 3045. Suppose 31 - o = -4*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00664455461 rounded to 5 decimal places?\nAnswer: 0.00664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -8, -43, -104, -197, -328, -503?\nAnswer: -728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -493816, -493823, -493830?\n\"Answer: -7*j - 493809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 11:11 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 17 = -4*p, r = 5*p - r - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 28*g + 2196. Calculate z(-26).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 820 + -805 + (-56 - (3 - 2)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4345479 + 2554.\nAnswer: 4348033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362365057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 16*j - 20. Suppose 5*a - 9 = -4*g, 3*a - 2*g = 6*a - j. Solve 2*x - 1 = a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -1\/39, 0, -0.4?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 55*y**2 - 1. Give z(55).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {j: 4, w: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22110111 - -22?\nAnswer: 22110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 - 455 = 67*o + 651 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 5*w**2 + 6*w + 9. Let g be y(-3). Let o(s) = -s + 15. Let f be o(g). Solve 0*n + f = 3*a + 2*n, 2*a + 7 = -5*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/2009 + 176819\/18081. Let n = -10 + j. What is the closest to 0 in n, 0, 1\/4, 1.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14372 - 13836. Does 129 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6\/g)\/(g*g**0))**(-2\/19) assuming g is positive.\nAnswer: g**(-8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba196 (base 16) to base 6.\nAnswer: 24200554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*u + 76, 0 = 5*p - 2*p + 5*u - 114. Suppose -4*q = 12, 7*t + 4*q = 2*t + p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 13*y - 10. What is the smallest common multiple of 0 + (1 + -25)\/(-2) and m(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:42 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-3 + -4 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 359591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*y + 10. What is the units digit of 1*(y + 1)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 2*q**3 - q**2 + q + 9*q**3 - 1. Let m = 107 + -105. Calculate the lowest common multiple of o(1) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*z + 5*z**2 - 3*z**2 + 86*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 9)*(32 - 1). Suppose 0 = -2*g + w + 17. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 23690942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.3 + -4.4. Sort -1\/2, x, -2\/11 in decreasing order.\nAnswer: x, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1167 + -1173. Sort 2, -95, o in descending order.\nAnswer: 2, o, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/35))**0\/(v**(-3\/16)*v\/v**(-2\/7)) assuming v is positive.\nAnswer: v**(-123\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*y = 12. Let c(w) = -8*w + 3*w + y*w. Let o(k) = -5*k. What is o(c(m))?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 3*j**2 + j**2)*(-j - 2*j + 2*j)*(-2 + 0 - 1).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -47, -53, -41, -5, 61?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -618*a**2*m**2*z**3 - 10*a**2*m**2*z**2 - a**2*m*z**3 + 11*a**2*m*z + 93*a**2*m + a**2*z - 2*m wrt m.\nAnswer: -1236*a**2*z**3 - 20*a**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 156546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v**3 - 4*v**2 - 8*v + 6. Suppose 4 = -s, -5*s = -2*d - 3*s - 4. Let k(p) = -7*p**3 - 3*p**2 - 7*p + 5. Give d*k(y) + 5*c(y).\nAnswer: 2*y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -537, -534, -531, -528, -525?\n\"Answer: 3*x - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/46624 and -31\/40608?\nAnswer: 1258848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.017 - 4.337. Round y to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608431 to the power of 1\/2, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 7*u**3\/3 - 7*u + 5. Let x(b) = -15*b**2 + 15. Let f(v) = -13*j(v) - 6*x(v). Suppose f(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1529 is divided by 69?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(130)\/(1*sqrt(10)) - (sqrt(13) - (-1 + sqrt(13)))**2*-5*-1).\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146\/7 - 21. Let x = 29.8 - 29.8. Let n = 0.2 + -0.6. Which is the closest to x? (a) y (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2420.1 (b) -4\/9 (c) -1.18 (d) -0.3 (e) 4 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12596*l + 2663432*l**2 + 6006*l - 1577*l - 3177*l + 18.\nAnswer: 2*(1154*l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -2. Let w(o) = -o**3 - 6*o**2 - 3*o - 3. Let g be w(t). Let c = -13 + g. Calculate the highest common factor of c and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82\/159 + -6923\/1272. Calculate the common denominator of -23\/36 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**4*f*f\/(f*f\/f**(-8\/7)*f))\/(f*f**(3\/2)*f*f**(4\/9)))**5 assuming f is positive.\nAnswer: f**(-685\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*a = -7552, -108 = -2*a - 100. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 265479020 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/54228 and 59\/7884.\nAnswer: 35627796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8805 and 134.\nAnswer: -385.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.5 less than 650738?\nAnswer: 650487.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*f*u*y*z - 20*f*u*y + f*z + 2*f - 29*u*z + 2*u with respect to y.\nAnswer: -7*f*u*z - 20*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + (sqrt(171)\/sqrt(9)*2 - (sqrt(304) - sqrt(304)*-4)))**2.\nAnswer: 36*sqrt(19) + 6158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/17 + 232\/119. Calculate the common denominator of x and 1\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a minute in seconds?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**5\/5 - 179*f**4 + 3*f**2\/2 + 3705*f - 8149. What is the derivative of w(u) wrt u?\nAnswer: -4*u**3 - 2148*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*u = 3, -u - 9 = -3*v + u. Let t(d) = 3*d - v*d**2 + d**3 - d - 3*d + 3. What is the remainder when t(4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1487*f**6 + 22*f**2 + 1060*f - 24*f**2 + 574*f**6 wrt f.\nAnswer: -109560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 6) in base 10?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11324298 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 258179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqvqzqovozooqoqqooqz. What is prob of sequence vvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**3 - 15*w**4 + 2*w**3 + 11*w + 17*w**4 to the form r*w + a + k*w**2 + v*w**4 + h*w**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/49)\/((y*y**(-44))\/y) assuming y is positive.\nAnswer: y**(2155\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 1417499117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 38054?\nAnswer: 38058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*m*y**3*z**2 + m*y**3 - 2*m*y**2*z - 923607*m*y*z**2 - 32032*m*y*z + 2*m*y wrt z?\nAnswer: 84*m*y**3 - 1847214*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -6208*p + 6190*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - g = 70, -4*g = 8*f - 6*g + 148 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Suppose -5*z + 0*z + d*t + 40 = 0, t - 7 = -3*z. What is the second derivative of -9*l**4 + z*l + 9*l**4 - 2*l**5 wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {f: 2, z: 1, g: 4, c: 1, q: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/357720 and 73\/476960?\nAnswer: 1430880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c + 1. Let d(k) = 6*k - 3. What is -d(r) - m(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (12 - -80) + -165\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 9) in base 6?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - ((-7 - -17 - 5) + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 592 + 603 - 155*r**2 - r - 1300 with respect to r.\nAnswer: -310*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 3. Suppose 0 = -15*v + 18*v - 9. Let o(t) = -3 - 7 + 8 + v. Suppose -2*f + 10 = i, 5*i - 5*f + 3 + 7 = 0. Determine i*o(k) - p(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8531.\nAnswer: 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 1 + (2 - -11). Suppose 0*c + 4*c - r = 0. Suppose 5*v = 28*v - 46. Solve -c = v*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**3 - 2*i**2 - i + 6. Let d(s) = -8*s**3 - 2*s**2 - 2*s + 7. Suppose -8*a = 449 - 497. Determine a*d(n) - 7*v(n).\nAnswer: n**3 + 2*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 4*m**2 - 5 - 2*m**2 - 2*m**3 - 5 to the form p + l*m**3 + h*m**2 + o*m and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 385 + -381. Sort s, 5, -0.018 in decreasing order.\nAnswer: 5, s, -0.018","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -2*d, 3*n = 3*d + 54. What is the units digit of (-1 + n)*2\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2. Let i(c) be the third derivative of 0*c**4 + 0*c**3 + 1\/20*c**5 - 6*c**2 + 0 + 0*c. Give i(b(s)).\nAnswer: 75*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -407212658*c**2 + 2*c - 768710111 with respect to c.\nAnswer: -814425316*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-8)*(-432)\/(-168).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*k = -214*k - 218*k + 72 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1642 + 16*i - 39*i**2 - 22*i + 20*i**2 + 13*i**2 wrt i?\nAnswer: -12*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 37 + q**3 + 33 - 73 - 4*q + 0*q + 3*q**2. Calculate z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y**2 + 2*y**4 - 5*y**4 + 6*y**4 + 3 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*h + 10 = 152*h. Sort h, 0, -3, 108.\nAnswer: -3, h, 0, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**5\/20 + 3*j**2 + 126*j. Let l(q) = 2*q**3 - 7. What is 7*c(y) + 6*l(y)?\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3661059 is divided by 708.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1400420 (base 5) in base 4?\nAnswer: -12321023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 10*m - 9. List the prime factors of o(8).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278 - -539. Let o = i - 145. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/2)))\/p)**(-2\/139)\/(p**1)**(-43) assuming p is positive.\nAnswer: p**(5978\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202854684*z**5 - 19234154*z**2 wrt z.\nAnswer: -12171281040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -1\/6 (c) -50 (d) 3 (e) -478 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1687709\nAnswer: 5\/1687709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 2. Let n(i) = -3*i**2 - 7. Let o(u) = -6*n(u) + 21*p(u). Let y(d) = 4 + 2*d**2 - 31*d**2 + 18*d**2 - 14*d**2 - 4. Give o(y(t)).\nAnswer: -1875*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 5*k**2 - 3*k. Let v = 38 - 36. Determine h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116.3 - 230.9. What is r rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = -3*v + 8*v - 3*o + 17*o - 16, -3*v + 2184 = 61*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.036 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/42*(-20)\/10. Let w = -1.2 - -2.6. Let p = 1.3 - w. Which is the second smallest value? (a) y (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/25*-30)\/(4\/10)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -817 in 5, 0.5, 2\/3, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1698059 and -6792239\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 9:58 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 638 - 438. Suppose 2*c = 4*x - i, 4*x - 3*x - 215 = 2*c. What is c rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17934 - -18649. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 2*q**2 + q - 1. Let b be d(-2). Find the common denominator of -49\/10 and 742\/120 - (-1)\/b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/14, 0.5, -227\/3, -2, 0.1, 3\/4, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285266.\nAnswer: 2, 19, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86423611 or 86423610?\nAnswer: 86423610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h - 6. Let a be v(3). What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((8\/(-12))\/(1\/(-3))). Find the common denominator of (g + 2)\/(13\/((-2418)\/36)) and -1 + -10*(-38)\/32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66235 is divided by 66225?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-688)\/(-387)*9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16554 (base 8) to base 14\nAnswer: 2a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:49 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393468 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.1 (b) -4.892 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1317 divided by -2\nAnswer: 1317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -31*c**6\/60 - 103*c**5\/5 - 255*c**4 + 200*c**3\/3 + 14*c**2 + 29. Factor n(p).\nAnswer: -2*(p + 10)**2*(31*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 + 11345*k**4 + 7514520*k**3 + 1176306320*k**2 + 9052651520*k + 17867735040 = 0. What is k?\nAnswer: -1024, -213, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 9. Let r be b(-4). Let c(d) = 2*d**2 + 2*d - 4. Let h be c(r). Solve 2*a + h*a**3 - a - 15*a**4 - 27*a**2 + 5*a = 0 for a.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3041 + -54003?\nAnswer: -50522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1 - (7 - -1)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:00 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-27) - (-2)\/18. Let r(j) be the third derivative of -1\/2*j**4 - 5*j**2 + 1\/20*j**5 + 0 + q*j**3 + 0*j. Find the second derivative of r(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:26 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59439579 and 30377.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -19. Suppose 0 = -0*a + a + 1. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + sqrt(2)*2))**2.\nAnswer: 320*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 146639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.899853 rounded to 2 dps?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/80436 and 67\/710518.\nAnswer: 4263108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*((-12)\/40 - (-36)\/45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/19 + 30*f**2\/19 - 132*f\/19 + 160\/19 = 0.\nAnswer: 2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -1724, -3408, -5102?\nAnswer: -6806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3) + -4 - sqrt(847)*-1 - (sqrt(4235) + 1*sqrt(4235))\/sqrt(5).\nAnswer: -10*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1563 + -1563. Solve p + 4*i + 1 = v, 2*i + i = 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-1 + -1990091)) + -1. Let n = o + -1410088. What is n rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Let r be (1 - -2 - n)*0. Suppose -24 = -r*a - 3*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 4*i + 5. Suppose o + o - 10 = 0. Let r be z(o). Suppose r = -4*h + 8 - 4. Put 2, -2, h in descending order.\nAnswer: 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111220010101 - -22001?\nAnswer: 111220102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + -0.2. Let h = 2 + -2. Let f be 3 - (3 - 1) - 4. What is the closest to h in c, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 11*x + 18*x + x)*(-4 + 4 - 2).\nAnswer: -16*x - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/5 of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -817 (base 9) to base 13.\nAnswer: -3c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14153, 14150, 14147, 14144, 14141?\nAnswer: 14138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -101, -2, 134, 4 in descending order.\nAnswer: 134, 4, -2, -59, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6419, -12873, -19327?\nAnswer: -25781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 2*m - 91. Suppose 20*n - m*n - 29407 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 290010?\nAnswer: -87003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1826327 - -0.649287.\nAnswer: -1826326.350713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*z - 3*t - 49, 5*z + 2*t - 80 = 0. Let j be 3*(-2)\/(-48) - 10\/z. Which is the closest to 0.1? (a) -3 (b) 0.07 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 2*a - r, 6*a - 2*r - 162 = 4*a. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-3 + 2*t**2 - t**2 + 0*t**2) + 1 + 29*t**2 - 1 - 3*t**2 + 3*t**2 + t**2.\nAnswer: 31*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -96986.\nAnswer: -96995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9455904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 30 = -3*j, -2*z - 3 + 4 = -5*j. Let v(m) be the third derivative of -5\/24*m**4 - 1\/60*m**5 + 0*m - 167*m**2 + 0 + m**3. Determine v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*v = -1 - 1, 2*v = -3*b + 5. Let d be (b - 7)\/((-6)\/8). Solve 0 = -5*n + d + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4593*s + 3488. What is the ten thousands digit of i(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85395775 to the power of 1\/3, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257771 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + 3 - 6 + 1.\nAnswer: -8*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/(-35)*1323\/756?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:54 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 128 (base 9) to base 5\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*s + 174 + 2226 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -998?\nAnswer: -99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3\/5 (c) -13 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvv. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16496.8 times -10\nAnswer: 164968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f + q = -126, 27 = f - 2*q. Suppose f*z - 11*z - 1358 = 0. List the prime factors of z.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**3 - 27*p**2 - 28*p + 41. Is z(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 4*h - 68 = 45*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 83\/7, -0.051, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 32 = -2*d, 12 + 0 = 3*d. Let v(u) = -u + 9. Let x be v(t). Let f(k) = 7*k + 12. Let g be f(1). Calculate the highest common divisor of g and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - b + 16 = 4, 4*b = -3*k + 10. Let i be (0 - k)*(-6)\/(-4). Let h = 3 - 4. Put h, i, -2 in decreasing order.\nAnswer: i, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13520\/160 + (-1 - 2\/(-4)) is divided by 392\/15 - 4\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2939341 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 n = 0.148 + -0.09. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 8:34 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*d - 364 + 203 = 567. Solve 10 = -d*g + w, 80 = -3*g + 5*w + 98 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 2 in decreasing order.\nAnswer: 10, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56701, -113410, -170133, -226876, -283645, -340446, -397285?\nAnswer: -454168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 638903 = 5*m, -5*m + 638909 = 9*p - 8*p. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*c = c, 10 = 5*t - 3*c. Suppose w - 3*w + t*g = -483, 0 = 4*w + 3*g - 901. What are the prime factors of w?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 10) + (0 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 2*i**2 - 3*i + 6. Let h be z(2). Suppose h = 9*u - 254 + 11. Let a = 1028 + u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**5*u + 38*g**4 - g**2*u - g - 284*u wrt g?\nAnswer: -40*g**3*u + 456*g**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/4 + 62*i. Let d(g) = -6*g. Give o(d(v)).\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222756264 divided by 55689066.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*p - 4*t, -2*p + t - 28 = -6*p. Suppose 0 = d - 1 - p. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Let o(u) = -u**2 - 5*u + 8. Let y be o(-6). Let j(h) = -15*h + 270. Let d be j(18). Solve d*c - c = -3*r - 4, a*c - 8 = y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/7902 and 73\/270.\nAnswer: 118530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + -6*(0 + sqrt(180))*1)*-4 + 2)**2 + -3.\nAnswer: 576*sqrt(5) + 103681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 + 1 + 2520*a - 2520*a. Let v(y) = 2 + 44*y**2 - 83*y**2 + 35*y**2. Calculate 7*j(h) - 4*v(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4820 a factor of 505368096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 271 + 4?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2*u**5\/55 - 5*u**4\/22 - 2*u**3\/11 + 9*u**2\/11 - 14. Factor b(x).\nAnswer: -2*x*(x - 1)*(x + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 4 (b) -1\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 32*g + 66. Let l be r(-2). Suppose 0 = 4*k - 5*z - 450, 552 = 5*k + z - l*z. What is the greatest common divisor of k and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = 10 - 23. Let q be (-1 - (-3)\/9)*-3. Let r(h) = 4*h + h - q + 1. What is r(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -45 and -64?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.98*-1617684.\nAnswer: 3203014.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3332)\/245)\/((-96)\/(-240)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0*s**3 + 3 - 8*s**2 + 3 + 10*s + 3 - s**3. Let z be o(-9). Suppose -2*r + 2*n + 36 = z, 5*r + 6 = -2*n + 89. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 1. Let p(a) = a + 4. Let o(b) = -3*b - 9. Let u(l) = 4*o(l) + 9*p(l). Let s(z) = 4*n(z) - 3*u(z). What is s(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/45 - (-4)\/(-3). Let r be ((-16)\/2)\/(4 + (z - 5)). What is the nearest to 3 in -1, -0.7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 - ((-48)\/189)\/4. What is the third smallest value in -9, p, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232961 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 14. What is the remainder when 103 is divided by n(12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 7. Let n(j) = -1. What is h(w) + 6*n(w)?\nAnswer: -5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.976113kg in grams?\nAnswer: 7976.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - ((-56)\/(-26) + 2\/(-13)). Solve 0 = -3*r - 3*w + 27, a*r + 2*w = -2*r + 30 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 18*w**2 + 2*w + 1. Calculate the least common multiple of v(1) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 4*d**2 - 7*d + 7*d. Let s(g) = 3*g**2. Calculate p(s(c)).\nAnswer: 45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 5*o + 2. Let r(v) = 6*v + 15. Let q be r(0). Suppose -q - 41 = 7*p. Let c(j) = -j**3 - 7*j**2 + 8*j + 4. Let u be c(p). What is d(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -5 (c) 0.1 (d) -0.11 (e) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*(sqrt(343)*4 - sqrt(343)) - (sqrt(7) + sqrt(7)*1 + 3 + 0 + sqrt(28))) + -4)**2.\nAnswer: -1708*sqrt(7) + 104237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264\/112*-2)\/(((-210)\/(-343))\/(-10)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/180 + h**5\/6 - 3*h**4\/4 - h**3\/2 - 37*h**2. Let q(y) be the first derivative of t(y). Factor q(b).\nAnswer: -2*(b - 9)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -170866*p - 3075577. Calculate h(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3771956196*z**2 + 6*z**3 + 3771956196*z**2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457448509*s**2 + 457448509*s**2 + 3110*s**3.\nAnswer: 3110*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17695476 - -30625496. Suppose -2*l + 4309995 = -3*l - o, 3*l - 4*o + p = 0. Round l to the nearest one hundred thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-770)*8\/(-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -59014 bigger than 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1331))**2 - (-1 + sqrt(396))) + -3.\nAnswer: -28*sqrt(11) + 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 552*u - 38088.\nAnswer: -2*(u + 138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -18*m + 486. Let t be d(51). Let q = 938 + t. Is 46 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(48) - (sqrt(15)\/(sqrt(5) + sqrt(5)*-3))**2 - ((-2 + -2*sqrt(147) + sqrt(147))**2 + -2))*-1.\nAnswer: 24*sqrt(3) + 607\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*t + 3*t - 14, 0 = -2*k - t + 6. Find the second derivative of -4*q**5 - 6*q + k*q**5 + 0*q**5 - 5*q**5 wrt q.\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13288 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 800 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -119, -124, -145, -188, -259, -364, -509?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3320*d - 25538 = -3094*d for d.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**8\/1120 - c**7\/2520 - c**6\/720 + c**4\/12 - c**2. Let q(i) be the second derivative of w(i). Calculate q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2986*s**5 - 5*s + 5*s + 656*s**2 + 12*s - 11*s wrt s?\nAnswer: -179160*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1031*q**2 - 77*q - 76. Calculate g(-1).\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 22. Suppose 14*s = u*s. Sort s, -4, -1, 2 in increasing order.\nAnswer: -4, -1, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -3691?\nAnswer: -14\/3691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**3 - 1 + 3*h**3 + h**2 + 0*h**2)*(-189*h + 9314 - 9314) in the form o*h**2 + b*h**4 + u + m*h**3 + l*h and give m.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.56 - -0.56. Let u be (3 + 388\/(-6))\/((-3)\/(-9)). Let s be (-3)\/(u\/10 + -4). What is the nearest to n in 4\/5, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23261 + -69782\/3. What is the second biggest value in c, -24.9, 2\/3, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 9. Let y(f) = f - 3. Let a be (0 + 1)\/(4\/8). Calculate a*n(g) - 7*y(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12131 - 3977 = -577*d - 6848 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11*j**3 + 4*j**3 + 0*j**3)*(-1 - 2 + 5) + 3 - j**3 - 3)*(2*j**2 + 4*j + 1 + 0*j**2 - 5*j).\nAnswer: 58*j**5 - 29*j**4 + 29*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:49 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:44 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 + 9*d - 2. Let r be k(8). Solve -r*w = -w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = -42. Let z be c\/3 - (-1)\/3. Solve z*g = 0, -5 = -b - 4*b - 3*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2007670 divided by -430.\nAnswer: 4669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53582.411 - 2550\nAnswer: -56132.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -108582 divided by -3?\nAnswer: 36194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1780 and -93\/356.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*q - 4265 = 1933 - 318. What is the lowest common multiple of 525 and q?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**3 + 7*i**2 - i + 6. Let a(q) = 2*q**3 - 6*q**2 + q - 5. What is 6*a(u) + 5*f(u)?\nAnswer: -3*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*q - 52. Let r be (94\/141)\/(q\/(-1746000)). What is r rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102011 (base 4) in base 7?\nAnswer: -3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)\/(-87 + 103)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06435 - -5.06435. Which is the nearest to -0.3? (a) -4 (b) t (c) 1\/4 (d) 25.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let d be z(2). Suppose -4 = -d*l - 0. Suppose 4*q = 2*a + 1674, -1 = -2*a + l. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437 by 448.\nAnswer: -437\/448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*m**2 - 22\/13*m + 48\/13.\nAnswer: 2*(m - 8)*(m - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11288 - 10350.3. Let d = q + -937.700004043. Round d to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 20400490.\nAnswer: -204004.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h - 6 - h + 69 - h**2 - 4*h - 7*h. Let v be p(-20). Solve 0 = -4*x + 8, v*f - 5*x = -5 - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - y - 199, i - 5*y = 3*i - 169. List the prime factors of i.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 364424487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 31*h**3 - h**2 + h - 1. Let z be s(1). Suppose f - z = -f. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 229*u + 207*u + 5710 + 39634 for u.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 264336940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/4)\/(c**4\/c)*c*c**(-1\/4)*(c\/c**(-4\/5))\/c*(c\/(c**0\/c))**(6\/7)\/(c\/c**0)**(2\/15) assuming c is positive.\nAnswer: c**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000108481 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 549302026 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10210 (base 3) in base 9?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695, 975, 1255, 1535, 1815, 2095?\nAnswer: 2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u. Let y(f) be the second derivative of 3*f**3\/2 + 3*f**2\/2 - 5*f. What is r(y(a))?\nAnswer: 18*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.3 and -74976?\nAnswer: 74983.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107 or 105?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 3*g - 1037 = -l, 3*l + 619 = -g. What is the tens digit of 12\/54 + l\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*x + (0 - 1 + 3)*((-2*x + 2*x - x)*(-4 + 0 + 2) + x - x + x - 2*x - 2*x - 4*x) in the form o*x + v and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882) + (-2*sqrt(882) - sqrt(882)) + (1*sqrt(180))\/sqrt(10))\/(((-2*sqrt(108) + sqrt(108))*-2)\/sqrt(12)).\nAnswer: -13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 18 - 133 = 0. Let l = 25 - b. Solve -l*x + 6 = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2 = 2*f - 0*f, 17 - 38 = 4*f - 17 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3809 - 3809.00462. What is f rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.9 - 4.2. Let i = u + -1.9. Let m = -20.99911 - i. Round m to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3989 at least as big as -4668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7332 * -2.\nAnswer: 14664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*u + 4. Find the common denominator of 91\/(-6) - (-3 - u) and -31\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -885*z - 5686*z + 2 - 1950*z - 2 to p + t*z and give t.\nAnswer: -8521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**4*x**3 - 327*q**4*x**2 + 167*q**2*x**2 - 2*x**3 wrt q.\nAnswer: 24*q*x**3 - 7848*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**6\/15 - 5*s**3\/3 - 52*s**2 + 11*s + 3. Differentiate d(y) with respect to y.\nAnswer: 8*y**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8138172 by -574.\nAnswer: -14178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 + 87136010*j + 87136005 = 0. Calculate j.\nAnswer: -17427201, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/6*(-17178)\/10634?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.7 (b) -4 (c) 5 (d) 0.017821 (e) -0.5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1403826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8258 - -2.1258. Which is the closest to 77? (a) -5 (b) x (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29491857 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: Let q(f) = 8*f**2 + 5*f - 2. Let s be q(-10). Suppose -9*v + s = -8*v. What are the prime factors of v?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-187))\/((-8)\/(-18) + -23 + (-35115)\/(-1485))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 4 - 4)*(-9*v - 126*v + 32*v)*(0 + 3*v + 0) as r*v + p*v**2 + g*v**3 + i + w*v**4 and give w.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109264872 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 8. What is d(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a + 5. Let t(y) = -y - 23. Let b(o) = o + 16. Let r(m) = 7*b(m) + 5*t(m). Calculate -4*k(u) - 7*r(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 4:22 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3150354633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*m + 3*m + 0*m)*(-1 + 0 + 3) - 2*m - m + 5*m + 4 + 2*m - 4*m - 6)*(m**2 + m**2 - m**2) as s*m + w*m**2 + r*m**3 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 26*c + 50. What is the units digit of y(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10323 divided by 3756?\nAnswer: 3441\/1252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = -0*d. Let l = -9 + d. Let f = -3 - l. Solve -2*s = 5*b - 1, -s = b - 1 - f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 349? (a) 0.03 (b) -0.242 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wawalpwwapwcacaawp. Give prob of picking 1 c and 1 a.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 9*l)*(0 - 2 + 3).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nbqqzn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 156 - 135 = 5*r, 5*r - 2*s = 17. Let g(k) = k + 5. Let a(o) = o**2 - 8*o + 12. Let b be a(5). Let y be g(b). Sort r, -1, -4, y in decreasing order.\nAnswer: r, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430844615?\nAnswer: 3, 5, 10598849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 914*u**4 - 911*u**4 + 2*u**3 + 8 + 5*u**2 - 2*u**2 + 10 to the form d*u + a*u**3 + g + r*u**4 + k*u**2 and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)\/(56240\/(-15808) - (-8)\/26)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*2\/10)\/(322\/(-115)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z**5 + 0*z - z**5 + z**5 - z**5 + (-3*z**4 - 3*z**4 + 4*z**4)*(2*z - z - 2*z) + 3 - 3 + 2*z**5 + 2*z**5 - 4*z**5 + 0*z**5)*(1 + 5 - 3).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7111*o**5 - 3*o - 565 wrt o?\nAnswer: -142220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 0.4917?\nAnswer: 0.019668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2 = -2*p, -4*q + 6*q + 3*p = 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (91 - (21 + -10))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + -12.2. Let r = o + 14. Which is the nearest to -1\/4? (a) 0.2 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 1:45 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35439888 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 1\/3, 1, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:43 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2 - m - 2 - 4. Let i = 42 + -49. Give d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 3*u - 2*u)*(-u - 2*u + 0*u) + 6 + 3*u**2 - 6 + (0 + 1 - 2)*(3*u**2 - u**2 - 3*u**2) to the form l*u**2 + j*u + b and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1256964 and 5662.\nAnswer: 1256964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41446524 (base 7) to base 9.\nAnswer: -6510640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/(25\/30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s*x - 1502*s - 14*x**2 + 5*x wrt x.\nAnswer: -3*s - 28*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 1. Let n be t(2). Suppose 5*s - n*i = -15 + 334, -112 = -2*s - 4*i. Suppose -d + 22 = -a, d + a - s = -2*d. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqppibbbbbpbbip. Give prob of sequence pbbb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/16419 and 38\/2977?\nAnswer: 3759951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -59. Sort 23, -3, f, -1 in descending order.\nAnswer: 23, f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m + 4. Let r(j) = -j**2 - j + 1. Let t(y) = -10*y**2 + 4*y - 3. Let p(x) = -3*r(x) - t(x). What are the prime factors of p(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 92. Let q be t\/12 + 1\/3. Suppose 0*f = -5*f + 15. Solve r - 5*i + q = 2, -f*r - 2*i = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10774, 43128, 97052, 172546, 269610, 388244, 528448?\nAnswer: 690222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 54*u**4 + 102*u**3 + 69*u**2 + 3*u + 9. Let v(t) = -27*t**4 - 50*t**3 - 34*t**2 - t - 5. Let a(o) = -5*f(o) - 9*v(o). Factor a(q).\nAnswer: -3*q*(q + 1)**2*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 156 = -w - 5*b, -3*w = 3*b + 225. Let z = w - 43. Let o = 204 + z. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**3 - 21*y**3 + 14*y**3 - 148*y + 148*y + 31*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (3*(sqrt(672) - -2*sqrt(672)))\/((sqrt(216)\/sqrt(36))\/sqrt(9)).\nAnswer: -5 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/13 (b) -6\/7 (c) 1\/7 (d) 0 (e) -530\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylg when three letters picked without replacement from byyyllymygycbmlmb?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323443 (base 5) to base 4.\nAnswer: 12201330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -7 + 12 + -19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2. Suppose 2*k = 3*k - 4. Let w(g) = 0*g + k*g - 2*g. Calculate f(w(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = l - 5, -5 = -i - 5*l. Suppose i = -5*q + 10 + 15. Let d(s) = -s - 1. What is d(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*p. Suppose 0*w - 39 = -w + p*h, 3*w - 72 = 3*h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2143210 (base 5) to base 14.\nAnswer: d849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -12.99. Let o = 0.99 - u. Is o at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1053) - (sqrt(1053)*1 + -4))*-2 + -1)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -10. Solve -4 + 19 = -u*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 3335dd?\nAnswer: 333603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413794.51815 + -4?\nAnswer: 1413790.51815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 22345312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 7*i + 10. Let p be 216\/(-81)*(-6)\/8. Let r be g(p). Solve 20 = -r*h - 3*x, -4*h = -0*h - 3*x - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-923)\/5 - 48\/120. Let h = g + 323. What is the greatest common factor of 368 and h?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88.908 + 0.092. Let v = -62 + z. Let c = v + -30. What is the second smallest value in -1, c, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120220111102 (base 3) in base 9?\nAnswer: -526442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -106*f**3 + 4*f**2 + 6*f - 8. Let u be q(4). Let b = -12104 - u. What is b rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -323, -310, -277, -218, -127?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -168, -43, 16 in descending order.\nAnswer: 16, -3, -43, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**3 + 233*g**2 - 58*g - 1096. Calculate a(-39).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 0.1 (c) 0.3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310919, -1243771, -2798523, -4975175?\nAnswer: -7773727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1394, -1390, -1386, -1382, -1378?\n\"Answer: 4*d - 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 628.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -7. Does 13 divide -5*(0 - (-52)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (125 + -126)*5113*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) -11.2 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3520\/(-77))\/16*42\/(-15)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 1)*(-2*d**3 + d**3 - d**3 + (-d - 3*d + 2*d)*(-2*d**2 + d**2 + 2*d**2) - d**3 + 0*d**3 + 0*d**3).\nAnswer: 35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Suppose u - 2 = -2*k, n = -u + 6*u + k. Suppose -87*f - 31 = -29 - 263. Solve 0 = -t + v + v, 4*t + f*v + 22 = u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 47 (c) -6 (d) -926\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 14\/199 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 33 = -39 - 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3.7. Let k = -1079.85 + 1079.35. Which is the closest to 0.1? (a) h (b) -1 (c) k (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m, 3*m = 5*p + 225. What is the least common multiple of p\/(-2 - 3) - 3 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64855.31523 - 64855. Round x to 2 dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.0874 to 1 dp.\nAnswer: 28.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -0.5 (b) 0.1488 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 13. Let z(p) = 19*p**2 - 69. Let n(j) = -11*a(j) + 2*z(j). Let t(l) = -5*l. Calculate t(n(i)).\nAnswer: 30*i**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4099 divide 346181045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13426 and 1568.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102032133 (base 4) to base 2.\nAnswer: -1010010001110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + l**2 - 2*l - 3. Let j(k) = 2*k**3 - 3*k - 6. Let i(u) = 5*a(u) - 3*j(u). Determine i(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let g(u) = -u**2 + u - 5. Let s be g(0). Sort s, 3\/2, r.\nAnswer: s, r, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 50, 10 in ascending order.\nAnswer: 1, 10, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 5*f**2 + 5*f**2)*(2 - 3 - 1)*(-15*f - 28 + 28)*(-7 - 6 + 5).\nAnswer: -720*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = t - 14, 4*t + 3*u + 1261 = t + 1276 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74)\/(-4) + 30\/(-12). Suppose -23*j + 19*j = -r. Put -3, -1\/8, j in descending order.\nAnswer: j, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0035 - 396.9965. Let x = 411 + h. Which is the second biggest value? (a) 3\/2 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, g: 1, o: 2, z: 2, c: 2, x: 2}. Give prob of sequence fg.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 5*q + 4*q)*(2 - 1 + 0) - 4*q + 3*q - q + 460*q + 461*q + 462*q + 88082 - 1825*q + 444*q.\nAnswer: -2*q + 88082","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1010012221 (base 4) to base 9\nAnswer: 464577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.98 - -4. Let b = 2960 - 2960.0200044. Let f = b + p. Round f to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m - 1155 + 128 = -19 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = -4*i + 32, -5*u = i - 17. Solve 4*a + 2 = n + 19, 0 = -3*a - i*n - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 710*r - 402 wrt r.\nAnswer: 710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 11*r**2 + r + 13. Let s be i(-11). Let w be 2*2 - (s + -1). Solve 0 = -w*j - 2*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 776483664166 - 776483664166 - 78*v**2 - v**3.\nAnswer: -v**3 - 78*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2 - 3*b - 2. Let h = -17548 - -17552. Let q(l) = 6*l**2 - 3*l - 2. Calculate h*q(p) - 3*y(p).\nAnswer: 3*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*q - 499*q + j = 121, -q - 4*j + 19 = 0. Suppose 5*y - 8 = -v, -2*v - 3*y = -v - 4. Sort v, q, 4.\nAnswer: v, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255169 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeo when three letters picked without replacement from {o: 4, p: 2, l: 4, e: 1, b: 6}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569227*y + 569248*y = -399 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2757181 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 43, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6*g - 3. Let r be w(-7). Let z = -18 + 8. Let d be z\/1*(-3)\/5. Calculate the highest common divisor of r and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 267 = 2*w - 909, -5*u - 1762 = -3*w. Suppose d - w - 159 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (196\/(-98))\/((-15)\/54*((-9)\/(-5) + -2))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28118302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*a + 774 = 15*a - 414. Calculate the remainder when 192 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*p**5 + 24919*p**4 + 2*p + 75822.\nAnswer: -340*p**3 + 299028*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.4 - 5.4. Let v = r + -22.4. What is the nearest to v in 1, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 10. Let a(p) be the first derivative of p**4\/4 - 4*p**3\/3 - 3*p**2\/2 - 7*p - 4. Let i be a(5). Solve 4*z = -h - i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -55. Suppose -m - 26 = -5*c. Calculate the remainder when c is divided by 13\/(975\/(-50)) + (-52)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 682748978 - 682748978.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*(-792)\/(-54). Let k = x + 18. What are the prime factors of 1\/(-2) - 2\/(k\/123)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/15 - 8072*x\/15 + 56014\/3.\nAnswer: 2*(x - 4001)*(x - 35)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, t: 1, p: 3, a: 4}. Give prob of sequence npan.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:09 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - h - 4. Give y(-7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*(-2*sqrt(2299) - sqrt(2299)) - sqrt(2299)) + -2)**2.\nAnswer: 147136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 292\/6353 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u + 249. Suppose -2*c - 5*p + 97 = 0, -7*c + 12*c - 199 = 2*p. Let z be d(c). Solve -z*b - 7 = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Suppose o*k - 1772 = -2*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(70\/3195) - (-5 - 54\/(-12)). What is the highest common factor of c and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 25*n**3 + 61*n**2 - 71*n - 94. Let l(f) = 4*f**3 + 10*f**2 - 12*f - 16. Let s(t) = -2*h(t) + 13*l(t). Factor s(j).\nAnswer: 2*(j - 2)*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.22 + -4.78. Sort s, -6, 0.4 in decreasing order.\nAnswer: 0.4, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4847*a**3 - 5*a**2 - 5*a + 20. Let y(g) = 760979*g**3 + 786*g**2 + 786*g - 3144. What is 5*y(j) + 786*z(j)?\nAnswer: -4847*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 3*d, 0*s - 7 = -3*d + 2*s. Which is smaller: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**3\/6 - g**2\/2 - 1736*g - 3. Let r(w) = -3*w**2 - 5*w + 5. Calculate r(t) + 4*x(t).\nAnswer: -3*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 8)\/(-2) - (-4674)\/(-912).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -280, -1093, -2460, -4387, -6880?\n\"Answer: -y**3 - 271*y**2 + 7*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 + 2*v. Let o(k) be the first derivative of -3*k**3 + 5*k**2\/2 + 2. Let w(r) = -5*i(r) + 2*o(r). Let g(c) = -c. What is w(g(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45547094 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3267\/(-660))\/(-99)*-8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 475 + 561. Does 28 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17683 is divided by 327.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/3 + 145*d**4 + 2566*d**3\/3 - 1146*d**2 - 2567*d\/3 + 1001 = 0. What is d?\nAnswer: -429, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 bigger than -708\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 + 29)\/1422*(-1 + 7)?\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 11. Calculate c(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 85 + 192 - 12*v.\nAnswer: -12*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 2*k + 4, -3*k = -k - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*y - 2*y. Let a(c) = -2*c**2 + 6*c + 5. Let l be a(4). Is y > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5006, 5034, 5056, 5066, 5058, 5026, 4964?\n\"Answer: -l**3 + 3*l**2 + 26*l + 4978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -61*o + 930. Determine l(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**(3\/2)*i)\/i)\/i*i*i**(6\/11))\/((i\/((i*(i*i**(-2\/7))\/i)\/i*i))\/i)**(-3\/11))\/((i**(1\/3)\/i)**(-49)*i**(-1\/4)\/(i**(3\/2)*i)) assuming i is positive.\nAnswer: i**(-24085\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 207*z**2 + 22*z + 170. Is 10 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpipttiptptttiit. What is prob of picking 2 t?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2.8, -256064, -5?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1342, -3446, -5550, -7654, -9758, -11862?\nAnswer: -13966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 0.3, -0.2, -0.4, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + 0*w - w)*(-2*w + 2*w + w) + (5*w + 2*w - 5*w)*(7 + 0 - 2)*(20*w + 10*w - 4*w)*(3 + 0 + 0) to the form s*w + f*w**2 + c and give f.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:22 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -926, -936, -948, -962?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 148*v**2 - 37*v + 9376. Give s(-75).\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -5*z. Suppose 2*i - 6 = -3*j, 5 - z = 2*j + 4*i. Differentiate 6*k**2 - 9*k**j + 7 - 7*k**2 wrt k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*g - 4 + 95*g - 40*g + 32 - 28 - 31*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6, -4*w = 3*i + 1463 - 1493. Let c = -6.2 - -12. Which is greater: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 21*l**2. Let s be 4\/3*(-6)\/(-4). Let z = 2625 + -2405. Let w(o) = -z*o - s*o**2 + 108*o + 112*o. Give w(u(b)).\nAnswer: -882*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 13*g**2 - 16*g - 6. Let z be r(12). Let n be -13*1*z\/(4 + 2). What is the tens digit of (3\/(-2))\/(n\/(-58) + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 2*n)*(1 + n - 1) - 2*n + 2*n + n**2 + 20 - 20 - 22*n**2.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**5\/60 - r**2\/2 + 3. Let l(j) be the second derivative of n(j). Let f(u) = 5*u**2. What is f(l(d))?\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1535 = -7*m + 47. Let u = -129 + m. What is the remainder when u is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -8 + 18\/8. Let p = 23.4 - 28. Let l = p + -1.4. Put j, 1, l in decreasing order.\nAnswer: 1, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 14. Let y = r - 2. Solve -y*o + 3*a - 21 = 0, -4*a + 21 = -7*o + 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1372)*-2 - sqrt(1372))*-5 - (sqrt(1372) + -1*1*sqrt(1372) + sqrt(1372)))\/((sqrt(60)\/(sqrt(25)\/sqrt(5)))\/((sqrt(27) - sqrt(3))*1)).\nAnswer: 196*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let d(h) = 5*h**2 - h - 9. Calculate y(d(l)).\nAnswer: -5*l**2 + l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2032*y**4 + 4886*y**2 wrt y.\nAnswer: 48768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zudzzczzz. What is prob of sequence zucz?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s - 2. Let g(m) = 22*m. What is g(j(r))?\nAnswer: -242*r - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-414)\/(-34) - (-13 + (7 - -18)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104337 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.648 - -53.552. Let d = j + -25. What is d rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 4. Let a = 3 - q. Suppose 0 = h + 2*k + k + 16, 5*k + 30 = -5*h. Sort -3, h, a in descending order.\nAnswer: a, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6993260*d*g**2 + 4045340*d*g wrt g.\nAnswer: 13986520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g + 116. Let o be z(6). Let n(x) = 0*x**3 + 13 - 4*x + x**3 - 4*x + 14*x**2. Let j be n(-14). What is the highest common factor of j and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 5*n + 7. Let l be z(-6). Suppose 5*t + 87 = -13. Let j = t + 20. Put j, l, 2 in decreasing order.\nAnswer: 2, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518346229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*t - 2*t - 3*t)*(2 - 1 + 0) - 4*t + 2*t + 3*t)*(-732 + 1417 + 2320 - 252 + 1680).\nAnswer: -4433*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.173 - -2.173. Which is the second smallest value? (a) -12 (b) i (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219277010.\nAnswer: 2, 5, 1151, 19051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42392\/152 - 6\/(-57). Suppose 5*h - f = 131. Suppose 0 = 80*s - h*s - 8. Let d(u) = u**2 + 4*u + 1. What is d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -11526?\nAnswer: 1152.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/14115150 and 16\/13475.\nAnswer: 1086866550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 414267*k**3 + 7693*k + 27.\nAnswer: 2485602*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*z - 2*g - 64, -4*g = z - 40. What is the highest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/55? (a) -3 (b) 0.25 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-2))**(-3\/2)*s*s*(s*s**7)\/s*s**(-2)*s assuming s is positive.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*v - 155*v - 33 = 7*g, -5*v + 15 = -4*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from nwrww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j*j\/(j**0\/j)*j))*j*j))\/j)**15)**7 assuming j is positive.\nAnswer: j**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/5 - 14848*q**3\/5 + 55130613*q**2\/5 - 22016618*q - 440807432\/5 = 0. What is q?\nAnswer: -2, 4, 7423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 735*z + 8787. Determine l(-12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 338 * -435.\nAnswer: -147030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from xxnnxxxnxxn?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777624753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 326 + -326.169. Let v = -0.031 + m. Let g = 160 + -3042\/19. Which is the nearest to v? (a) g (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1077 + 1080. Let l = 108\/43 + -1\/86. What is the smallest value in l, d, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19229 - -0.29229. Put i, -5, -1\/8, 0.3, 2\/191 in descending order.\nAnswer: 0.3, i, 2\/191, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvlv when four letters picked without replacement from lvgvlvgvv?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**5 - 2310*s**4 + 25900*s**3 - 54570*s**2 - 82775*s = 0.\nAnswer: -473, -1, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, g: 1, o: 2, q: 12, w: 1}. What is prob of picking 1 o and 1 w?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 12:16 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from ppqqkbc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 3.1. Let c = -0.33 + 0.3. Let j = -5.03 - c. What is the second smallest value in v, j, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/22 and (-6)\/(-33) - 2451\/594?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10571088.4+-132\nAnswer: 10570956.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58 + -20034a?\nAnswer: -2002d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 32*z - 140 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 537 + -514. Solve -13*w + o = -29 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -699358 less than -699442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 25920?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7876, -7878, -7880, -7882?\nAnswer: -7884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 575 + 290. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 461336 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -33\/7. Let d = 45 + -43. Let p = 0.3 + -1.3. What is the nearest to 1 in r, d, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.41 + -14.4101293. Round r to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 3, 1\/4, 10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 421200.6?\nAnswer: 1263601.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6076 - -78?\nAnswer: -5ffe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-3)\/(-54)*-3). Let d be ((-8)\/f)\/(1\/(-36)). Is (d\/18)\/(2\/(-12)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 172*t**2 - 3*t + 8. Let o(q) = 58*q**2 - q + 3. Let x(c) = -11*o(c) + 4*u(c). Calculate x(-1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 43*p**2 - 123*p - 66. Give o(-40).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 17857 + 17908 - 35614.\nAnswer: -o**3 + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 3. Suppose -v*d - 6 = -4*c, d + c = 3*d. Suppose -5*j - 885 = 3*p, d = -3*p + 17. Round j to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140856*j = 140844*j - 276 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a - 5 = -45*a. Let u be (a\/(-3))\/((-32)\/(-6) - 5). Suppose m + u*o - 49 = 0, 4*m - 5*o - 221 = -0*m. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (25 + -9 + -40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 452 and 791.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-1)\/(-27) + (3 - 2). Suppose 13*j - 15 = 18*j + 5*q, -4*j = -3*q - 9. Is z > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*h = 250, -3*s = -0*h + 4*h - 203. Suppose 5*q - 7 - 48 = -5*k, -5*k = -5*q + s. What is the units digit of (696\/48)\/(1 - 10\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4444211 (base 7) to base 6.\nAnswer: 15433122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*i - 14. Solve 5*n = i*h, 2*n - 3 + 13 = -3*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 122*s - 105. What is the thousands digit of r(48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglglgl. Give prob of sequence gl.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3937 is divided by 230?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 4*o + (-3 - 2 + 2)*(-3*o + o + 0*o) + 2*o - 5*o + o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/3132481 and 13\/1708626?\nAnswer: 18794886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5 (b) 0 (c) -2\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20591 is divided by 196?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11332.2ng to grams.\nAnswer: 0.0000113322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 15, 24 - 27 = -4*q - l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.02595 + 0.02595. What is the nearest to -0.12 in 0.3, r, 0.2, 9\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-15)*1*15\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09156576 and 0.2.\nAnswer: 0.018313152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**3 - n**2 - n. Let k(v) = 7*v - 3. Let d = -210 - -205. Calculate d*l(i) + 4*k(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 195, 52, 2\/7, 5, -1\/2 in decreasing order.\nAnswer: 195, 52, 5, 2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1912?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1895 (b) -2093 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 25627000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 102, 104, 106, 108?\n\"Answer: 2*w + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7372453 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -2251?\nAnswer: -2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 9. Let d be (-1 + 7)\/(-2) - (-185 + 196). Let p(v) = 3*v + 28. Determine d*z(b) + 4*p(b).\nAnswer: -2*b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 297. Let n(h) be the third derivative of -h**5\/60 + 2*h**2 + 270*h. Give n(w(s)).\nAnswer: -4*s**2 - 1188*s - 88209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228*c**2 - 521*c**2 - c + 2*c - 1400*c**2 + 448*c**2 - 3322*c**3 wrt c.\nAnswer: -19932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36, 546, 2128, 5208, 10284, 17854, 28416, 42468?\n\"Answer: 83*b**3 + 2*b**2 - 5*b - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6) - 7\/(-21). Suppose -3*s + 8 - 2 = w. Which is the second smallest value? (a) s (b) -4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**3 - 100*i**2 + 31*i - 48. Let g be r(-17). Solve 3*f = -2*v + 5, -5*v - 2*f = -g + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 21063?\nAnswer: 21063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1271 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x - 2 = 0. Let w(t) = -t**2 - 4*t + 10. Let m be w(-5). Calculate the greatest common factor of m and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*u - 3*z + 5, 3*u = -2*z + 6. Is 1404 + (-4)\/2 + (3 - u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 635 and 10577195.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 251, 219, 169, 95, -9, -149, -331?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (2 - (25 + -2)). Is a + 1 - (-1 + -1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(3*d + 3*d - 4*d)*(d**3 + 13*d**3 - 4*d**3).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, 3 in increasing order.\nAnswer: -10, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 356 - 121. List the prime factors of o.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 5 + -9 + -3. What is the remainder when (-4)\/m - (-2358)\/30 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6 = 79. Let s = -13 + f. Suppose -s*j = 16 - 56. What is the highest common factor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 6 - -14) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3.5 (b) 2\/55 (c) -2\/15 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29045.9 and 8073357?\nAnswer: 8044311.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/((-2052)\/1121) + 5\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -429 + 428. Let z be 3\/(q + 4) + 5. Solve -3*a = -4*a + c - z, 5*c = 2*a + 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96921646519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9+21568199330535\nAnswer: 21568199330526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601034.\nAnswer: 2, 7, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - r**3 + 3 - 2*r - 3 to k + x*r**3 + j*r**2 + h*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) - 506\/(-7). Suppose 36*r - 26*r - 200 = 2*v, 5*v + 332 = r. Let k = d + v. Sort -5, k, -4 in ascending order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3450362 + 0?\nAnswer: 3450362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/7 and 25\/18388.\nAnswer: 128716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20325 (base 8) to base 13\nAnswer: -3a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/249 + 9292\/249. Let p = x - 37. Which is the second biggest value? (a) 0 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + a + 2*a)*(-156*a + 169976 - 169976) to z + t*a**2 + d*a and give t.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - 355\/(-25))\/(9\/(-6)) and -54\/85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 4 + 4)*(h + 0*h + 2*h) - 1 - h**2 + 1 + 44*h**2 + 5*h**2 + 10*h**2 as f*h**2 + t + k*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/44, 7, 1, 14 in descending order.\nAnswer: 14, 7, 1, -1\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 5*a**2 - 6*a + 2. Let t be x(-6). Suppose 6*m = t*m - 20. What is the closest to 1 in m, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98404 - -39.\nAnswer: -98365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2\/7 - 5196*o\/7 - 3374802\/7 = 0.\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (10 - 7) - (2 - -2 - 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -5*f + 3*b + 12, -3*f + 4*b - 24 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n**3 - 6*n**2 - 5*n + 5. Let d(j) = -j**3 - 7*j**2 + 8*j - 11. Let l be d(-8). Let y(s) = -15*s**3 - 11*s**2 - 9*s + 9. Calculate l*r(m) + 6*y(m).\nAnswer: -2*m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-96 + (4 - -4))*1\/(-4). Solve -15 - 29 = c*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-4)\/(-2) - (-6)\/(-51). Let i = -894 - -893. What is the smallest value in g, i, 14, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5488.96308 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m - 5. Let o = -35 + 21. Let j(v) = -v**3 - 15*v**2 - 13*v + 12. Let l be j(o). Let d(b) = -4*b + 4. Let f(r) = l*t(r) - 3*d(r). Calculate f(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1740669569 to the nearest integer?\nAnswer: 41721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71\/13042 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 6*v**2 - 4*v.\nAnswer: -2*v*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10689610.\nAnswer: 2, 5, 653, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*n + 11. What is the derivative of -4 - 26*x**4 + 27*x**4 - 28*x**4 + n wrt x?\nAnswer: -108*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -14*u + 3. Let m(g) = 29*g - 7. What is -7*l(x) - 3*m(x)?\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103631 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 789869918 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -3*h**2\/2 - h + 46. What is x(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 602, 1204, 1806, 2408, 3010, 3612?\nAnswer: 4214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kue when three letters picked without replacement from eueeueeeuueueeeukueu.\nAnswer: 11\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.43 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19833988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17917 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 10 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n + 13. Suppose -2*g - b - 11 - 13 = 0, -3*g + 4*b = 25. What is y(g)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 - 222095*l**2 - 24663316606*l - 49325744836.\nAnswer: -(l + 2)*(l + 222094)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t + 6. Let d(s) = -s - 1. Let l(w) = 5*d(w) - z(w). Give l(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x**(-4\/17)*x*x**(-1\/5)\/x*((x**(-5)*x*x)\/x*x*x)\/x assuming x is positive.\nAnswer: x**(218\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 19. Find the common denominator of 5\/33*3\/(-15) and (4\/v)\/((-4)\/62).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -185*9\/(495\/(-814))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 265 - 247. Solve -5*t - n = -j + 3*j, j = 3*t + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 85892 = 86116 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 1\/(2\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z + 0*z - z)*(0 - 3 + 2) - 8282*z + 1264 - 8287*z + 16570*z + (-2 + 3 + 1)*(-2*z + 5 - 5) in the form a*z + g and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066 times 9?\nAnswer: -0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(2212*n + 1166*n - 2357*n).\nAnswer: -3063*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (6*(sqrt(5) + 2) - sqrt(5)) + 4 + sqrt(20).\nAnswer: 16 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y + 47. Let f(x) = x - 3. Let w(b) = 2*f(b) - q(b). Give w(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 9:36 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -618*a. Let t(z) = 979*z**2 - 6*z - 977*z**2 + 6*z. Give t(x(q)).\nAnswer: 763848*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28753.557 rounded to the nearest 100?\nAnswer: 28800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 17*w - 10 = 12*w, -2*w + 21 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485 - 147 = -8*n. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, h: 13}. Give prob of picking 4 o.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, k: 1, h: 4}. What is prob of sequence hh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.056?\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -13 + 4 + 2*q**2 - 3*q**2 + 2*q**2. Let m be z(-4). Suppose m*s - 976 = 634. Does 37 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 19*d + 17*d + 14*d - 47*d + 9.\nAnswer: 3*d + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83450228 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 43*c. Let t(a) = -4*a - 6. Let n(w) = w + 2. Let y(l) = -6*n(l) - 2*t(l). Calculate y(s(x)).\nAnswer: 86*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1924*0.2\nAnswer: 384.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-60))\/((-2)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 144.475*0.01\nAnswer: 1.44475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 444 and 7276672.\nAnswer: 807710592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -414.01 + 412. Let f = 2.024 + x. Round f to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 6:08 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/49, -1, -1\/4 in ascending order.\nAnswer: -1, -1\/4, 2\/49, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 29 = -4*q, -20*q + 17*q + 5*s - 22 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/36 + (-2)\/(-8))*(-10794)\/1028. Sort -0.5, 3, c in decreasing order.\nAnswer: c, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y + 13*y - y + (-3 - 2 + 4)*(0 + 0 - 3)*(-y + 5 - 5).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.9097473 rounded to 1 decimal place?\nAnswer: 41.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1362794580 and 0.05.\nAnswer: -1362794579.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 0.3 (b) 2\/75 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - y + 56 = 6*h, -8 = 2*y. Suppose -2*u + h = u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {x: 1, m: 3, s: 1, q: 5, y: 1, z: 2}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**5 + 345*r**4 - 410*r**3 - 4060*r**2 + 9720*r - 5600 = 0.\nAnswer: -70, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*k + 13*k - 5*k - k**2 - 100 + 117 + 131 to x*k**2 + p + d*k and give p.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -4 (c) -2 (d) -2\/37 (e) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*s = -126, -4 = -x + 2*s - 34. What is the common denominator of (x\/(-48))\/(40\/2) and (-3)\/((-180)\/74) + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33024 and 31872.\nAnswer: 2740992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.29507 greater than or equal to -0.042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q**2 - 22*q**2 + 5*q + 9*q**2 - q**3 - 4*q + 88. Let o be r(0). Suppose 5*w - 97 = o. What is the remainder when w is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*d - 2*d - 5*v, 4*d + 5*v + 12 = 0. Find the second derivative of -d*p - 2*p - p**2 - 2*p + p wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 13 - 82. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 764936\nAnswer: 17\/382468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26753711, -107014851, -240783417, -428059409, -668842827, -963133671?\n\"Answer: -26753713*h**2 - h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.53 + 4.53. What is the closest to 2\/7 in s, 2\/21, 2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q. Let o(m) = 2*m. Let d(t) = 13*o(t) - 6*v(t). Let l(u) = 93*u - 93*u - 8*u**2. Give d(l(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2744530?\nAnswer: 2, 5, 274453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 190318385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 6, w: 1, z: 2}. What is prob of picking 1 w and 2 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 66. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 3*v**3 + 12*v**3)*(-2 + 0 + 0) + v**3 + 0 + 2*v + 0.\nAnswer: -19*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 9*t + 20. Let y(o) = o**2 - 1. Let k = 4 - 3. Let i(j) = -3*j**2 + 2*j + 5. Let a(w) = k*i(w) + 2*y(w). Calculate a(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197294?\nAnswer: 2, 23, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1211356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 172854 and 288090.\nAnswer: 864270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10455605\/9 or -1161735?\nAnswer: -1161735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139012*x**2 + 56021830*x\/13 - 186\/13 = 0. What is x?\nAnswer: -31, 3\/903578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -33 in decreasing order.\nAnswer: -3, -10, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13252\/9 - 1472. Suppose -2 = g + g. Let l = -2 - g. Does j = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -464*m**2 - 28302*m - 153. What is q(-61)?\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2. Let t(n) = 1059*n - 1. Determine k(t(p)).\nAnswer: -2242962*p**2 + 4236*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -136*f**2 + 13 wrt f.\nAnswer: -272*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11*f + 33. Let c(b) be the third derivative of -13*b**4\/24 + 16*b**3\/3 + 22*b**2. Let r(v) = 5*c(v) - 4*y(v). Is 28 a factor of r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 314*y**3 - 4*y + 313*y**3 + 10 + 308*y**3 + 315*y**3 + 4*y**2 - 1248*y**3 as a*y**2 + g + l*y + o*y**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269*l**4 - 762 wrt l.\nAnswer: -1076*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-436)\/545)\/(1\/2) - (-4 + 0).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 9*k**2 - 2*k + 13. Let z be w(9). Let x be (-2)\/(-4) - z\/10. Which is bigger: x or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/50 and 61\/46?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-36) - 2\/(-3). Suppose 0 = 5*k - 3*k + n. Sort -5, -3, k in ascending order.\nAnswer: -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 2. Let v = 7 - 0. Let f = v - 5. Let j = 4 - f. Calculate c(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 110700 = 5*f, -j = -15*f + 20*f - 55370. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -85 and 10\/39507 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-12) + (231\/12 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000758 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let c(y) be the first derivative of -y**2\/2 - y - 2. Let x(w) = -3*w - 4. Let h(t) = -4*c(t) + x(t). Determine f(h(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 632211.3ug?\nAnswer: 632211300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dycwjry. What is prob of sequence cd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -1)*(7 - 6). Let l = 6 + a. Let c = 0.003 + -0.503. Put -1, c, l, 0.3 in decreasing order.\nAnswer: l, 0.3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p - 32*p - 40 = 4*l, -3*p + 10*l = 12 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300110013 (base 4) in base 12?\nAnswer: 96633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 181 - -263?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131 is divided by 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 96093024.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 11 = 5*k, 5*c - 5*k = -14 + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-228)\/36 + 8)*(-1)\/20. What is the biggest value in d, 3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/4621 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j. Let g(m) = 3550*m**2. Calculate g(o(l)).\nAnswer: 14200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24852 + 12 + (-2 + -6 - -8) a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 - 2. Let d(v) = 20*v**2 - v - 9. Calculate 2*d(r) - 9*x(r).\nAnswer: -5*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.2 - 15. Let n = -18 + 17.2. Let r = n - c. What is the nearest to r in 0.5, -1, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*y - 2*b, 9 + 3 = -y + 3*b. Solve 25 = -3*p + 2*k, -5*p + p + 2*k - 30 = y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d - 463*d - 332*d.\nAnswer: -751*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 352*q + 10505. What is o(-28)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 + 6*v - 16. Let j be g(2). Let i = 189 - j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -124. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 528945 (base 14) to base 11\nAnswer: 1635a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -d + 12, 18 = -2*l + 5*l + 3*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-20))\/(843\/44960)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((-22)\/(-128)) + (90 - (11 - -67))\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5438.8 + 5439.2. Let m = -10 + 14. Sort u, 0.01, m, -4 in descending order.\nAnswer: m, u, 0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 2*w + 2*w)*(-5 + 4 - 1) + 407753*w**2 + 10*w - 407753*w**2 - 171*w**3.\nAnswer: -173*w**3 + 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttptyttypt. Give prob of sequence yttt.\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(-2 + (-1 + 2*sqrt(1700) - sqrt(1700))))**2.\nAnswer: -240*sqrt(17) + 6833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.42 - 0.08. Suppose -143*m = -145*m + 10. Which is the biggest value? (a) -5 (b) -2\/13 (c) m (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/40)\/(27\/108)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -13. Let t(o) be the first derivative of -227*o - 3*o**3 + 218*o + 16 + 2*o**k. Differentiate t(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n**3 - n**2 + 2*n + 2. Let l be f(-1). Suppose -l*t - 15 = -15*t. Solve -3*r = -3*v + r + 19, v - 13 = t*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 129*y**2 - 12*y + 516.\nAnswer: 3*(y - 43)*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75633.006 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365926413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 183947*n**2 + 2*n**4 - 91965*n**2 - 9*n + 3 - 91971*n**2 - n**3 in the form u*n**4 + z + g*n + l*n**3 + b*n**2 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: 1235 times -34367\nAnswer: -42443245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 26 = 2*r - 18, 0 = -r - 4. Suppose g*j + 12 = 16*j. Suppose -2*a + 3*a - 2 = 0. Calculate the remainder when j is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -58*y - 82. Let a be x(-26). Let p = a - 216. List the prime factors of p.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/183 and 41\/180.\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pehklplklpelpeeklp. Give prob of sequence klkl.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + z**4 + z**4 + (0 + 0 - 2*z)*(-z**3 - 2*z**3 + 5*z**3).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 + 363 = -3*n - u, 0 = 4*n - 5*u - 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 - 2*n**4 + 0*n**4 + (14*n**3 + 3*n - 3*n)*(-6*n + 21 - 21) + 2*n**2 - 2*n**2 - 2*n**4 to r*n**4 + x*n**2 + z*n**3 + p*n + u and give r.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w + 27. What is p(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(4032))*-3*3*5)**2.\nAnswer: 291600*sqrt(7) + 8183025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 10*l**2 - l + 12. Calculate the lowest common multiple of 8 and m(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 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: Rearrange (-4 + 4 - 12)*(19*w - 74*w - 38*w) - w + 3*w - 3*w to the form r + d*w and give d.\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 + (-26)\/(-6). Let f(c) = -c**3 + 6*c**2 - c + 13. Let d be f(5). Suppose -d = -7*h - 5. Solve 5*x = 2*w - w + 7, -h*w = 3*x + l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -697 divided by 23.\nAnswer: -697\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/7 (b) 105 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-5))\/(-2 + (-3892)\/(-1953)). Let n = 283 + m. Let h = 0.5 + -2.5. Which is the nearest to 0? (a) n (b) 6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1105 times -2\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20328 divided by -6776\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13346 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/4*(-42)\/(-105)*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4315200 divided by -359600?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40241*l**5*t**2 - 4*l**2*t**2 + 2*t**2 + 86274*t wrt l.\nAnswer: -2414460*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177886451183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c**2 - 4*c - 1. Let x be 7\/((-196)\/24)*7. Let s be (x\/(-8))\/(2\/8). Calculate o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 6) to base 10\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-200)\/(-15) - 4)\/((-1)\/(-54)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 6)*(14*i + 406 - 406)*(-29*i**2 + i**2 + 52*i**2) in the form w + u*i + a*i**3 + p*i**2 and give a.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let p(j) = -3424*j + 1686*j + 1705*j. Give p(x(h)).\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*v - 16 = 0, -v + 1 + 4 = 0. Suppose 3*x + 2*x - 4*t = -m, 5*t - 13 = x. Determine q, given that 0*q**2 + 3 + 0*q**2 - 5*q**2 + x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363.931 litres to millilitres.\nAnswer: 363931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61975261193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4339881 to the nearest integer?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (4 + 14) - ((15 - 8 - 12) + 15).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 288 + -286. Suppose -c = 2*z - 300, 556 = g*c + z - 59. Does 32 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15c (base 13) to base 10.\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79900787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + -1 + (67 - 21 - 47).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(-6*(sqrt(10) + sqrt(60)\/sqrt(6))) - sqrt(55)\/(sqrt(5)*-3)*4) + -2.\nAnswer: -2 + 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 981*u + 47080. Determine a(-48).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euee when four letters picked without replacement from eeueu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-9)\/((-6867)\/2)). Calculate the greatest common factor of a and 872.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22173, -44329, -66495, -88677, -110881?\n\"Answer: -n**3 + n**2 - 22152*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -8 - -7 - (-8)\/(-2). Let d be (2 - 837\/417)*2. Are d and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 197801 and 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 300058 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12643*r**2 - 6305*r**2 - 6315*r**2.\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (10 - (1 + -6 + 16 - (-7 - -4))).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 - -189. Suppose 2*j = j. Let b(s) = 2*s + j*s - 3 - s. What is b(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26225)\/15*(-2)\/62. Let n = j - 169\/3. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-6)\/60)\/((-4)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 16, -1, -3, -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + (10 - ((1 - -8) + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1313333 (base 5) to base 11\nAnswer: 18671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 243653 - 20?\nAnswer: 243633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -22\/91 (c) -9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -92, -281, -650, -1259?\nAnswer: -2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*m**5 - 16*m**3 - 19224*m**2 - 3*m + 42800863.\nAnswer: -680*m**3 - 96*m - 38448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 + 4*c - 12. Let z be p(5). Let y = z + -28. Solve 0*b - y = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319902, -1279594, -2879080, -5118360?\nAnswer: -7997434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - v, 3*t + 0 = 2*v + 7. Let y be (-29)\/87*(-2 - t). Are y and 7\/12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (88\/3)\/((-5)\/(-30)*-2). Let c = -94 - i. Let l be (-1515)\/(-12) + c - (-1)\/(-4). What is the highest common factor of 48 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3670179 is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)*m)\/(m\/m**5) assuming m is positive.\nAnswer: m**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkgkm. What is prob of sequence kkg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308938 equal to 4308939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -66*i**2 + 8*i + 23. Let s be b(11). Let p = -3308 - s. Let h = p + -2858. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(8)\/(sqrt(2)*4)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u + 11*u + 27 + 7*u + 8*u**2 - 109.\nAnswer: 8*u**2 + 3*u - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18)\/81 - (-280)\/855) + 749660\/38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 8*s + 308. Let b(j) = j**3 + 30*j**2 + 44*j - 42. Is 49 a factor of b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -35?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22*6*3\/12. Find the second derivative of -31*l - l**2 + a*l - 3*l**2 wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 0. Let k be r\/7 + 16\/(-28). Let n be (-414)\/(-90) - (4 + k). Which is bigger: -2\/9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*l**2*x**3*z + 7*l**2*x**3 + 15*l**2*z - l*x**3 + 5*l*x + 8*l*z + 3 wrt l?\nAnswer: -172*x**3*z + 14*x**3 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 d when three letters picked without replacement from {g: 2, a: 2, d: 5, f: 4, p: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2285 by -138.\nAnswer: 2285\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -3. Let t be (-203)\/y - 21\/35. Calculate the highest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0\/(-1))\/((-8)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 4 = 0. Suppose -w + 6405 = w + c, q*w - 6385 = 3*c. What is w rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11194, -11188, -11170, -11134, -11074, -10984, -10858?\n\"Answer: t**3 - t - 11194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 308 + -171. List the prime factors of l.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4119 + 4137. Solve 3*j = -15*j + q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46656478 is divided by 76.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 28*g + 33. Let n(h) = -7*h - 8. Let z(d) = -9*n(d) - 2*s(d). Let w(k) = k + 1. Let j(c) = 6*w(c) - z(c). Let u(r) = -4*r**2. Determine u(j(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.89 + -0.11. Sort -1\/3, w, 0.5.\nAnswer: w, -1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1852\nAnswer: -7408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 1, y: 2, d: 1}. What is prob of picking 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 - 2.32.\nAnswer: -2.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + v + 2. Let q(i) = -i**3 - i**2 + 2*i + 3. What is 2*q(u) - 3*s(u)?\nAnswer: 4*u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -15. Suppose g*i - 10*i = 5082. What are the prime factors of i?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -49, 2\/11 in decreasing order.\nAnswer: 1, 2\/11, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppppppptptpp. Give prob of picking 2 p.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.02, 0.045, -1.6, -5 in descending order.\nAnswer: 2\/7, 0.045, -0.02, -1.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 3*m**2 + 6*m + 60. Give u(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - 15 = 0. Let h = 9 + j. Let w(k) = 2 + k**2 - 4 + 4 + 5 - 5*k**3. Let c(v) = 4*v**3 - v**2 - 6. Give h*w(y) - 7*c(y).\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/17657 - 794581\/141256. What is the common denominator of g and 1\/9166?\nAnswer: 36664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 2, h: 7, j: 4, r: 6}. Give prob of picking 1 j and 1 m.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33103370*f*z**2 - 7*f*z + 19*f + 2294*z - 5 wrt z?\nAnswer: -66206740*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-5 + 5)) + (-2585)\/(-1224). Let m = -2\/153 - r. Calculate the common denominator of 89\/32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4615*n**2 - 14*n. Let i(b) = 2308*b**2 + 8*b. Determine -3*a(x) - 5*i(x).\nAnswer: 2305*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 0*h**2 + 0*h**2 + h**2 + h**2 + 2*h**2 + (1 - 1 + 3*h)*(-5*h + 0 + 0) - 53*h - 38*h**2 + 11*h**2 + 28*h**2.\nAnswer: -9*h**2 - 53*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {u: 3, h: 2, q: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 - 14*y - 12. What is q(10)?\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + o + 44. What is the least common multiple of h(-6) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 23. Suppose 2*i - s*o - 550 = 0, 5*i + 5*o - 1399 = 4*o. Does 31 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.0716 (c) 4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*y + r, 0 = y - 2*r + r - 21. Is ((-8)\/12)\/(y\/(-165912)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3 - 1722*w**2 - 147808*w - 1737288 = 0.\nAnswer: -766, -81, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 23 = -19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 23 - (2 - 8) - (-284 + 316)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7230, 10791, 14352, 17913, 21474, 25035?\nAnswer: 28596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1754 - -104. Suppose -18*x = -5440 + b. List the prime factors of x.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 16*o = -7. Let h be (3 + -3)*(-2 - -3). Suppose h = -o*a - 2*a + 549. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160957653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015065 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d - 14. Let n(w) = w**3 - 9*w**2 + 10*w - 10. Let k be n(d). Let f(o) = o**3 - 6*o**2 + 2*o - 8. Let h be f(k). Solve -2*m = -h*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + 6. Let u be k\/4 + 3*-1. Suppose -c + 64 = u*p, c + 24 + 3 = 2*p. What is the greatest common divisor of 65 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18122\/19 + 954. Is g > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 166 (b) -0.4 (c) 808 (d) 5\/2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 7*r**2 + 2*r + 10. Let j be b(-7). Let u be (j\/6)\/(10\/6). Sort 1\/4, u, 0.2 in descending order.\nAnswer: 1\/4, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3223, 6343, 9449, 12535, 15595, 18623, 21613, 24559?\nAnswer: 27455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 11 = 3*l. Let n(p) be the third derivative of p**4\/12 + 53*p**3\/6 - p**2. What is the remainder when n(0) is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351*c*x**3 - 474730187*c*x - 455495*x**5 wrt x.\nAnswer: -2106*c*x - 9109900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (627\/(-21) - -32)*(96\/(-5))\/4?\nAnswer: 37\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 9*c**2 + 10. Let l be k(-9). Let y(m) = m**2 - 11*m + 12. Let p be y(l). Solve p*a = -2*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*j - 4 = 0, q = -3*q - 5*j + 52. Let i be 51\/(-24) - (-1)\/q. Let s be 119\/28 + i\/8. Solve -h - 6 = -s*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-35)*826\/(-177).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -75, 7 in decreasing order.\nAnswer: 7, 3, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3153491, -3153490, -3153489, -3153488?\n\"Answer: h - 3153492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0779 - 9.7875?\nAnswer: -9.8654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5217211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17589*z**2 - 158299*z - 32. Determine n(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 0 in ascending order.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34559.5*-51.\nAnswer: 1762534.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5130061331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/10455 and 29\/7952073.\nAnswer: 39760365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(7)*1 + sqrt(28) + 2 - (sqrt(49)\/(sqrt(14)\/sqrt(2)) + sqrt(7) + sqrt(28) + -2)**2.\nAnswer: -119 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((v - 2 + 2)*(0 + 1 + 1) + 2*v + 4*v + 4*v)*(104 - 6 + 21) in the form d + f*v and give f.\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*p - 1634 = -287*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8150047846?\nAnswer: 2, 4075023923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 37738.\nAnswer: 1320830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2970838480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((2 - -2) + -202 + 215)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 13 + 59. Suppose 0 = 8*z - 3*z - 80. Calculate the remainder when (158 + 0)*t\/24 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88826877*b**3 - 2*b**2 + 51*b + 462186 wrt b?\nAnswer: -532961262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 96117.7, 0.3, -0.2 in increasing order.\nAnswer: -0.2, 0.3, 96117.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3)\/t)\/(t**(-4\/5)\/t*t*t))\/(t**(2\/3)*(t**17\/t)\/t*t) assuming t is positive.\nAnswer: t**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1873306 - 1873323 - 1873321 + 5619950 + 4*k + 29*k.\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58, 40, 422, 1232, 2614, 4712, 7670, 11632?\n\"Answer: 24*s**3 - 2*s**2 - 64*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16092 = -4*c - 19609, -5*n - 3*c = -59463. Let l be (-1 + -1)\/((-30)\/n). List the prime factors of 2\/(-4) - l\/(-26).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1547 = -6*r + 1529 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237060*y - 476937*y + 238416*y.\nAnswer: -1461*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(563*j - 350*j - 276 + 456*j + 275).\nAnswer: 1338*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -11?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 7*t. Suppose t = -4*d, 3*k - 3*d = -0 + 6. Suppose 232 = 4*a + q, -k*q = -2*a - 0*q + 106. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = -4. Let o be 1\/(i\/16*10). Which is the smallest value? (a) o (b) 17 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11*z**2 - 1130*z. Let x(k) = -32*k**2 + 3396*k. What is -14*f(j) - 5*x(j)?\nAnswer: 6*j**2 - 1160*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183503357 to the nearest integer?\nAnswer: 13546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 31 + (-40 - 6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.03 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8 + 69*w + 61*w - 138*w - 6*w**3 - 13*w**2 + 3*w**2. Let z(q) = -4 - 102*q**2 + 103*q**2 + q**3 + q + 3. Let p(a) = -i(a) - 8*z(a). Factor p(r).\nAnswer: -2*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + l - 3*l + 88, -k = -l - 19. Let t = 17 - 26. Let y = k + t. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 392839197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 93462 (b) -0.2 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1802778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4605 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -211*n + 104*n + 108*n. Let x be d(7). Solve 0 = -6*z + x*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1.35 (b) 2\/11 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - m. Let q(y) = -y**3 - 7*y**2 - 10*y - 7. List the prime factors of q(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/6 + 4*d**3\/3 + d**2 + 11*d. What is the units digit of z(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 4347\/(-138) - 51\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9301\/2040 + -214\/85. Let t = -6263\/9 + 695. Find the common denominator of b and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttm when three letters picked without replacement from nttnmnmmtnttmtttmtt.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69869482*l**3 + 4059740?\nAnswer: -209608446*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-2*i - 2*i**5 + 2*i) - i**4 + 2*i**2 - i**5 + 0*i**2 - i**4.\nAnswer: 3*i**5 - 2*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 + 530 = -339*a + a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/4 + 2*z**3\/3 - z**2\/2 - 2*z - 1032. Calculate o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 > -2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3978801\/239853850 - -306\/26225. Calculate the common denominator of d and -19\/18.\nAnswer: 82314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m - 8*m - 17*m**2 + 21*m.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(32\/(-6)*543\/(-724)))\/(1\/(-16))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9460 and 12?\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 40*m**2 - 355*m - 352. What is g(-28)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 241, 434, 627?\n\"Answer: 193*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*l - 14*l. Let v be (l\/10)\/(4\/10). Let j = 4.89 + 0.11. What is the closest to 0.1 in v, j, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.2. Let k(g) = -g**2 - 2*g + 1. Let l be k(1). Let q = 7 + l. What is the nearest to r in q, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -15*a - 5. Which is smaller: 1\/45 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6881*p**4 - 48372*p**2 - 10487 - 722*p**5 - 17278*p**3 - 22310*p**3 - 1175*p**4 - 37080*p + 10162*p**3 - 313 = 0. Calculate p.\nAnswer: -6, -30\/19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 22*g. Let h be w(1). Let t be 48\/h + 22\/(-121). What is x in x**t + 2*x**3 - 1 - x**3 + x - 2*x**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - (-14 + -1)) + 13474*2. Let f = d - 14317. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322 (base 4) to base 10\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.36, 3092, -5, 0.1 in descending order.\nAnswer: 3092, 0.1, -0.36, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Suppose 837*k = 1665*k - 959*k - 262. Suppose -4*m - 2 = 2. Let o(c) be the third derivative of -c**4\/8 + c**3\/2 - c**2. Give k*l(f) + m*o(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 14\/(-2 + 4). Let t be (6\/(-20))\/((-3)\/n). Let k = -4 - -6. Put k, 0.2, t in descending order.\nAnswer: k, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -240.94 + 241. Put 1\/8, d, 1\/5, 5 in decreasing order.\nAnswer: 5, 1\/5, 1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(80)*-1 - 1*sqrt(80)*-6)\/(sqrt(40)\/sqrt(16) + -1*sqrt(160)))**2.\nAnswer: 3872\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003186518 to six dps.\nAnswer: -0.000319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43290720 and 693?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*c - 185*c = -648. Calculate the greatest common divisor of 384 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 30 - 161 = 37 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 3355296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 + 55*f**4 + 165*f**3 + 185*f**2 + 70*f.\nAnswer: 5*f*(f + 1)**2*(f + 2)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8 + 2 - 6 - v. Let n(i) = -i + 2. Suppose 11 = -10*c - 39. Determine c*n(w) + 2*r(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkki. Give prob of sequence ki.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 20. Let c be (-4)\/n*-2*345. Suppose 156 = 8*u - c. What are the prime factors of u?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 + 3*a + 35. Let x be j(-6). Suppose 5*i = 2*s - 144, 2*i - x = -4*s + 19. Calculate the highest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 10*b - 22. Solve -k + 3*g = -0*g + 6, -b = -2*k - g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k + 2. What is x(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14738140 is divided by 1486.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 13 = -133. Let o = k + 118. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 445 - 227. Suppose 5*a - 3*a = h. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2\/5, -3, 45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -977*c**2 + 3952*c**2 - 992*c**2 - 984*c**2 - 996*c**2 - 1.\nAnswer: 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -10?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1757*a - 195000. Calculate s(-111).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/280)\/((3\/(-15))\/(-1))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2890 = -4*i - 2918 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20630 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594.70165 rounded to 1 decimal place?\nAnswer: 2594.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 9\/2*g**4 + 0*g + 0*g**2 - 14*g**3 - 26. What is the third derivative of y(i) wrt i?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {h: 12, x: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2b241 (base 13) to base 7\nAnswer: 460064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2693 (base 12) in base 13?\nAnswer: -202b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1434672\/5*s + 1259712 + 36612\/5*s**2 - 329\/5*s**3 + 1\/5*s**4.\nAnswer: (s - 108)**3*(s - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 16*s**4 - s**2 - 3*s + 3. Let z(b) = -16*b**4 + 2*b**2 + 2*b - 2. Let c(h) = 2*k(h) + 3*z(h). Find the third derivative of c(a) wrt a.\nAnswer: -384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-808)\/(-114))\/((-10)\/12).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 4. Suppose -c*s + 7 = 7. Suppose s = -g - 3, 5*j - 580 = -0*j - 5*g. What are the prime factors of j?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-96 - -99)\/(21\/12 + -1). Suppose -3*w - 6 + 18 = 0. Solve -2*n + q*n + w = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -921.87 - -927. Let i = p + -0.13. Which is bigger: 1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 31 - 56 = 0. Let d(i) be the third derivative of -1\/18*i**3 - 1\/12*i**4 + 0 - 7*i**2 + 0*i - 1\/20*i**m. Suppose d(k) = 0. What is k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 1405820*v - 1405825.\nAnswer: 5*(v - 281165)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**4 - 222*f - 1130 wrt f?\nAnswer: -4*f**3 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126764796?\nAnswer: 2, 2861, 98459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 14\/(-8) + 19127\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6320459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 39*o**2 - 19*o + 20. Let g be h(-20). Which is bigger: g or -2\/3981?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173897943 take away -1?\nAnswer: -173897942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*k**2*r + 72570*k**2 - 767*k*r wrt r.\nAnswer: -51*k**2 - 767*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 - -168. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (506\/22 - 11) + 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/15*-3*-5. What is the third biggest value in 0.2, 3, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a2b (base 13) to base 6.\nAnswer: 44201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 9:46 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 977203 divided by -33.\nAnswer: -977203\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(1\/2)\/t))**(1\/25))**(-1\/72)*(t**(-2\/5)*t**6)**(-1\/51) assuming t is positive.\nAnswer: t**(-2257\/20400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)\/(b\/(b*((b\/(b**(-2\/43)*b))\/b)\/b)))\/(b*(b\/(b*b\/b**(-2\/21)*b))\/b*b*(b\/(b\/b**(-2\/3))*b)\/b*b) assuming b is positive.\nAnswer: b**(-6283\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -50, -40, -36, -44, -70?\n\"Answer: -n**3 + 6*n**2 - n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4422 + 22109\/5. Put -2\/7, -2.02, p, 0.4 in decreasing order.\nAnswer: 0.4, p, -2\/7, -2.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**3 - 2*d**2 - 27*d + 8. Calculate i(-4).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 397745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(-2*i - 2*i - i)*(-285*i + 295*i + 179*i) in the form m*i**2 + o + f*i and give m.\nAnswer: 1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16309765 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -473, -477, -483, -491, -501?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - o)*((6 - 3 - 1)*(0 + 1 + 5) + 1 - 2 - 2) in the form a + t*o and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/11)\/l)\/l**35 assuming l is positive.\nAnswer: l**(-389\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 49*t - 365. Give z(10).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(162)\/(sqrt(1089) - sqrt(1089)*2 - sqrt(9)))\/(2*sqrt(12)\/(sqrt(2)*-3)))**2.\nAnswer: -253\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254*w - 1252*w - 3*i - 6 = 0, -2*w - i - 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15993*a + 2520 = -15930*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 15*v**2 + 3*v + 14. Let b(t) = 3*t**3 - 44*t**2 - 8*t - 40. Let k(g) = -4*b(g) - 11*o(g). Determine k(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 6243550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 179*x + 32. Let b(o) = -89*o - 19. Give 5*b(v) + 3*s(v).\nAnswer: 92*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/2*1002\/(-19038).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (560 - 563)*((-14)\/15 + (-2)\/5). Let o(s) be the third derivative of 4\/33*s**3 + 17*s**2 + 1\/33*s**d + 1\/330*s**5 + 0 + 0*s. Factor o(w).\nAnswer: 2*(w + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - -4. Let f = 17 + h. Suppose 22*g + 4*g = 416. What is the remainder when f is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 16*j - 42 = 3*a + 33, 2 = 2*j + a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48400\/(-1452))\/((8\/(-6))\/2). Calculate the greatest common factor of s and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = 3. Suppose 0*z + 4*z + o*p = -22, z = -3*p - 13. Let t be (z\/(-8))\/((-9)\/6). Which is the third smallest value? (a) 5 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4593001.\nAnswer: 7, 167, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009364 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 5351.\nAnswer: -1\/5351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*k + 6357 + 485 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82\/5 - -236\/15. Sort -0.3, o, 0.2, 0.5 in ascending order.\nAnswer: o, -0.3, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1. Let d(q) = -2*q. Determine -2*a(o) - d(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 20992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*v - 3*t, 8*v + 5*t - 20 = 3*v. Let g(m) = -2*m + 4. Let u be g(v). What is the units digit of 2\/8 + (-46)\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6300 or -6301?\nAnswer: -6300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -94723 + 24\/(-16)*(-4)\/(-6). Is (-8)\/36 + f\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36\/5*h - 8\/5 - 51\/5*h**3 - 62\/5*h**2 - 4*h**4 - 3\/5*h**5 = 0. Calculate h.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 208*f**3 + 3329*f**2 - 8*f - 362. Determine l(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 6)*(-5 + (-623)\/(-126))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 197 - 127 = 0. What is the third derivative of 2*c**5 + 19*c**5 + 10 + t*c**5 - 29 - 2*c**2 wrt c?\nAnswer: 4500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658579 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + 35*k - 89. Is s(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 + -6. Let u = g + 0. Sort -0.4, 0, u in ascending order.\nAnswer: -0.4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2541 = 17*f + 1947. Let r = 544 + f. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**13\/z*z\/(z**(2\/61)\/z) assuming z is positive.\nAnswer: z**(852\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 570160628 - 45612248107\/80. Let z = 7527 - i. What is the common denominator of 83\/14 and z?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15389 in 11, 0.1, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*60464775.\nAnswer: -181394325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13723*m + 61. Is j(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*h - 8, 2*k - 5*h = 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566505.\nAnswer: 5, 313301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 122?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228.7 - 239. Let n = -10.2 - y. What is the nearest to n in -0.8, 2, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-1*720\/396)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -93. Sort 1, i, -4 in increasing order.\nAnswer: -4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - 44 - 28 - -16.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 8:53 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 479 - 699. Let c = 378 + j. Does 41 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13284749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*i = 20, -2*y = -3*i - 1 - 1. Suppose -7*t = -2*t + 2*j, 3 = y*t + j. Suppose 216 = 4*s + 3*l, 63 + 31 = t*s + 5*l. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + y + 7. Let q = 17 - 17. Does 4 divide v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 1:40 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170004 is divided by 605?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 5:22 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -776 - -1097. What are the prime factors of t?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16219 + 16221. Let x(s) = s**2 + 5*s - 1. Let h be x(-6). Solve -c + r*c = h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 30*k**2 - 2*k - 4. Let c(q) = -15*q**2 + 2*q + 2. Determine -5*c(j) - 3*r(j).\nAnswer: -15*j**2 - 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 17\/36*2)*(8 - 12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 221461*s**3 + 310509?\nAnswer: 664383*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 5010120.\nAnswer: 5010120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 0*h**2 + 9 + h**2 + 0*h. Suppose -4*f - 18 = 4*q - 2, -34 = 5*f - 2*q. What is the units digit of i(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 408680?\nAnswer: 408680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -21 + 12*q - 8 - q**2 + 12. Let s be f(10). Solve -66\/5*n**s - 8\/5*n + 0 - 7\/5*n**5 + 44\/5*n**2 + 37\/5*n**4 = 0 for n.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13688273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3710*o + 3720*o + 7 = -13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -61. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23226501 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 817*d**2*r - 2*d*r + 901*r wrt d.\nAnswer: 1634*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/10)\/2 + 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 - (-95 + 100).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m*m**0)\/m)\/m*m**(-4\/5)*m)**(6\/7)*(((m*m\/((m**6\/m*m)\/m))\/m)\/m*m*m**3)\/(m**(-2\/7)\/(m**(2\/7)\/m)) assuming m is positive.\nAnswer: m**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802*q**2 - 802*q**2 + 994497*q**3 - 994502*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0*v**6 + 0*v**4 + 2\/21*v**7 + 0 - 3*v + 0*v**5 + 0*v**2 + 2\/3*v**3. Find the second derivative of y(f) wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sggggmgzzggm. What is prob of picking 1 s, 2 m, and 1 z?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/235 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - 120?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39545118 is divided by 16484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 4*b**2 + 2*b - 6. Let i be x(4). Let j = -7 + 9. Suppose 2 + j = i*g. Solve 0 = g*r - 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92677 + 0.07.\nAnswer: 92677.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*s + 67*s - 4, -7 = -3*n - 2*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 + 26*4\/24. Let i = -8 + 11. Sort 1, k, i.\nAnswer: 1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14312 + 858751\/60. Calculate the common denominator of j and -35\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11179483 is divided by 771.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -461 - -718. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/9)\/(2\/12). Suppose 121*i - 6 = 119*i. Suppose 5*o - 27 = -h, 3*o - 19 = -i*h + 2. Solve -10 = 5*y - o*m, -w + 0 = 5*y - 2*m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-7) + 64452\/(-28700) + 2\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48309\/5? (a) 0.4 (b) 0.07 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z - 17. Let m(a) = -a**2 + 5*a + 2. Let b be m(4). Let q(l) = 8 + 40*l - 35*l - 2. Determine b*n(k) + 17*q(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r + 7 = 5*k, -4*r + 5*k - 23 = 0. Let u be r - (-2 - 3) - -5. Calculate the greatest common divisor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, q: 4, u: 2, o: 4, b: 1}. What is prob of sequence obq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 0.6. Let c be 24\/(-188)*-1*10\/30. Put m, 0.5, c in decreasing order.\nAnswer: m, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -3 + (-2 - -3 - -3) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927 (base 14) in base 6?\nAnswer: 114235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 6:29 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95365120 and 66560?\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23158 by -6.\nAnswer: -11579\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/8 - (-4)\/16. Let m be (-2)\/(-4)*t\/7. Let n = 21 + -21.1. What is the closest to 1 in 2\/3, n, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - 371\/77 - (-49225526)\/11. Suppose 0 = t + 2*n + 2749998, -4*t - 6524950 = 2*n + r. Round t to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (-5 + 10 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 84*s + 15198 = 5*s. What is the remainder when 419 is divided by s?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:59 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 511 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*a + 32. Suppose 0 = -0*p + a*p + 12, -g - 3*p + 189 = 0. Let s = -51 + g. What is the remainder when s is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:12 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 328 + -159. Let m = c - 160.3. Round m to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.07, 0.03 in descending order.\nAnswer: 0.07, 0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexxe. What is prob of sequence ee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 - -2413?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 205, 231, 273, 331, 405, 495, 601?\n\"Answer: 8*c**2 + 2*c + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f**2 - 14*f. Calculate w(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -294 != -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -165*g**2 + 53*g**2 + 54*g**2 + 59*g**2. Let p(o) be the second derivative of o**4\/12 + o. Give p(v(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000223779 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 3 = -130 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 24*s + 2. Let a be v(12). Suppose -6*u + a*u + 128 = 0. Solve -2*i = 2*i - 16, -3*i = -5*z - u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 58 - 75 = -19*f. Which is bigger: f or -2\/10951?\nAnswer: -2\/10951","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223b (base 14) in base 3?\nAnswer: 22010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4 + 146026*a**3 + 3554613306*a**2 + 28864625838750*a + 403408458153036 = 0.\nAnswer: -24333, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3581 is divided by 144?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 0, 3, 2 in descending order.\nAnswer: 5, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 10*x + 6. Let s be t(9). Let p(f) = -6*f - 4 + 3*f + 2*f. Calculate p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 24579193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1748, -1706, -1636, -1538, -1412, -1258?\n\"Answer: 14*d**2 - 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -324*g. Let s(o) = -2*o. Calculate x(s(k)).\nAnswer: 648*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06364 and 19351?\nAnswer: 19351.06364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -3\/4, 2, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyoiiyaa. What is prob of sequence aojj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 280186 or 280173?\nAnswer: 280186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -63, -2, 3 in ascending order.\nAnswer: -63, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 306 = 33*i. Put 3, i, 4 in decreasing order.\nAnswer: i, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 4*k - 5*k)*(4 - 4 - 2)*(k + 2*k**2 - 3*k**2 + 0*k).\nAnswer: 2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143613 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.14206671 rounded to 1 dp?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 722345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 195 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 11*s + 2 + 476*s.\nAnswer: 465*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258874 by 2.\nAnswer: -129437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - (-2 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 3*m**2 + 3*m + 1. Let v be (-17)\/7 + (-5 - 532\/(-98)). Calculate d(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 64\/8 + -6 - 6 - -19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 448086*s**6 - 2*s**4 - 38*s**3 - 865801306*s**2.\nAnswer: 53770320*s**3 - 48*s - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -407479, -1629908, -3667289, -6519622?\n\"Answer: -407476*u**2 - u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*o - 2*o = 5, -3*y + 2*o = 4. Factor -2*n**y - 5 - 9*n**2 - 10*n + 6*n**2.\nAnswer: -5*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 10*w**7\/27 - 127*w**6\/135 - 2*w**5\/3 + 121*w**4\/27 - 146*w**3\/27 + 7*w**2\/3 - 6*w - 89. Suppose p(y) = 0. Calculate y.\nAnswer: -7\/5, 3\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2807 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 3)*(80 - 80 + 19*z + (1 - 2*z - 1)*(0 + 0 + 2)) + (1 - 1 - 3)*(2*z - 2*z + z) to the form a*z + q and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (235\/(-40) + 6)\/((-2)\/(-190)) and (-4)\/(-10)*3\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 6:01 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -14. Suppose 0 = 7*z - 15*z - 88. Is z less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.011 + -0.059. Let r = -0.07 - u. Let z be (5\/(-3))\/(4\/6). Which is the third biggest value? (a) r (b) -2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (50\/8)\/(2\/56). Suppose 4*v = -31 + l. Suppose -3*z = -33 - v. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -20. Suppose -2*a - 4335 = -t*b, a + 3*a + 8676 = 4*b. What are the prime factors of a\/(-45) - 6\/27?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 173?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 24*d**2 + 9*d + 1. Let x(s) = 24*s**2 + 10*s + 1. Give 6*p(k) - 5*x(k).\nAnswer: 24*k**2 + 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*(-7)\/(-2394)*-4*3.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30097 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1*(-1)\/(-2)*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176 - 122. Let w = 63 - n. Suppose w*d - 10*d = -108. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c = 22*c - 6*c + 63. Sort 152, c, 20 in decreasing order.\nAnswer: 152, 20, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - ((-2)\/(-12) - (-175)\/(-42)). What is the biggest value in -0.06, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**2\/7 + 300585*f\/7 + 5109078\/7 = 0.\nAnswer: -100178, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2616629, -1 in descending order.\nAnswer: 2616629, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -634.35 less than -12698.6?\nAnswer: -12064.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -250a + -cd6?\nAnswer: -32e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 368*v**2 + 22*v - 64. Is t(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.2, 88?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9745 (base 10) to base 3\nAnswer: -111100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248 (base 13) to base 11.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a + 23*a - 7*a + 91*a.\nAnswer: 90*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3) + 5 - (2*sqrt(147))**2 - (sqrt(192)*-3*-6)**2)*-3.\nAnswer: -3*sqrt(3) + 188379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*x = -267, -c + 3*x = -8 - 85. Suppose 0 = -3*b + c + 24. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 19. Suppose -2*n = s*w + 6, 5*n + 4 = -2*w + 10. Solve 5*k = n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208457.\nAnswer: 3, 19, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 32.13. Let y = -951 + 952. Which is the biggest value? (a) f (b) y (c) -0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1095 + 1055 - (1 + 0).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/81 and 47\/216?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 510 = -20*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - p + 0*p + 100 = 0, -2*p = 0. Calculate the remainder when 274 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 6*j - 5. Suppose 33*n = 28*n, 3 = v + 2*n. Let t be g(v). Solve 8*h - 16 = t*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2725222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (639\/(-936)*-22 - 84\/(-112))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*9\/(-24) - (-594)\/880.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-30)\/175)\/((-6)\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728*s + 15007 = 447 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2683.15 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88078572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -6 - 10. Let i = s - -10. Solve 3*g = -4*n + 17, 0 = -i*g - 0*g + 5*n - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 34*u**3\/3 - 23*u**2 - 26. What is the second derivative of m(n) wrt n?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 + 226. Let q = s + -112. Which is the second biggest value? (a) 0.12 (b) 3 (c) q (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -26. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {k: 2, s: 1, z: 3, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26460266 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/4 + 8*r**3\/3 - r**2 + 4*r + 84. Give b(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10963*b - 10951*b + 1 + 21869*b.\nAnswer: -45*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0 - (-3 + 2) - (-10609 + 10694)) + 11.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 311756?\nAnswer: 5299852","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1230*y**2 - 486*y - 60. Let s(m) = -738*m**2 - 286*m - 36. Give 10*n(u) - 17*s(u).\nAnswer: 246*u**2 + 2*u + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.17 * 3941.\nAnswer: 87371.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g - 12*g + 13*g + (g - 3 + 3)*(0 + 1 - 3) + 4*g - 6*g + g - 3*g - 3*g + 0*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 7}. Give prob of picking 1 u and 2 h.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 7*r**2 + 3*r + 2. Let i be q(-5). Let l be 4\/18 - 1687\/i. Calculate the greatest common divisor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*w - 3*r + 52, 3*w = 2*r + 44. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52b - 2?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqi when three letters picked without replacement from {i: 7, q: 5, k: 2}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/7 + 123*k - 2556\/7.\nAnswer: -3*(k - 284)*(k - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -24 - (1 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, q: 4}. What is prob of sequence qe?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -787.\nAnswer: 3148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - 4*p**2 + 0 - 52*p**3 - 5*p + 14*p**3 + 33*p**3 - 19. Let n(a) = 4*a**3 + 6*a**2 + 4*a + 18. Determine 7*n(x) + 6*y(x).\nAnswer: -2*x**3 - 2*x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-9) + 81871\/12369.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1048 + 4858 = 5*u. Suppose p + 0*p - u = 0. What is the remainder when 70 is divided by (-6)\/21 - p\/(-21)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/126 and 67\/15714?\nAnswer: 109998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(4\/(0 - 2)). Suppose -2 = -2*f + 2*p, 6*p - p - 22 = -4*f. Let k = f + 1. Solve a = k*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906.4947 nanoseconds to seconds.\nAnswer: 0.0000009064947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.5296 rounded to 1 decimal place?\nAnswer: 36.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13 (b) 0 (c) -11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - -310. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -235 - -1271. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1465 and 683.\nAnswer: 683.1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 4. Let c be t(-6). Let n(y) = -y**2 + 15*y + 2. Let s be n(15). Solve s*g - c = 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12 and -39\/52960.\nAnswer: 158880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 2. Let l be t(3). Suppose -v + 3*v + 2*o = 10, -4*v - o + l = 0. What is the second smallest value in -0.3, v, -2\/7, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1814 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7841 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 605868036 and 2796?\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*k - 0*p + 81, -p = -5*k + 135. Calculate the greatest common factor of 189 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/5 and 103\/410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/5 - (-38)\/10. Solve a*o - 25 = 5*u, 0*o - 4*o - 2*u = -18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/7844*(0 - (3 + -11)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96)\/(-273) + 3\/(-7). Let j = -7\/78 + x. Calculate the common denominator of j and (18\/25)\/((-3)\/40).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 270 = 194 - 399 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11710 + -11657. Calculate the remainder when 994 is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 849 + -388. What are the prime factors of x?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 2.9 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*3\/24*30. Suppose -3*l + f - 10 = -4*f, -4*l + f = -s. Solve -1 = 2*p + l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**3\/6 + 129*c**2\/2 - 72*c. Let a be z(14). What is the greatest common divisor of 115 and a?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + v + 213 = 0, -9*v + 7*v + 210 = 4*q. Calculate the remainder when q is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + 752*d**2 - 254*d**2 - 4*d**3 - 252*d**2 - 246*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59471481*y**2 - 164029*y - 79.\nAnswer: -118942962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 4 = 4*h, 5*f + 10 = -4*h - 31 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, j: 3, e: 3, a: 3, q: 6}. Give prob of picking 4 q.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let l(q) = 8*q**2 - 3*q + 2. Let t(p) = 8*p**2 - 2*p + 3. Let d(o) = 2*l(o) - 3*t(o). What is d(z(c))?\nAnswer: -32*c**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 339 + l + 213.\nAnswer: 4*l + 552","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*t + p - 153, -5*t - 7 - 30 - 8 = p + 11 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 4*m**2 - m**2)*(4*m + m + 0*m + (-5 + 3 + 4)*(-3*m + 2*m - m) - 2*m - 2 + 2 + (1 + 0 + 1)*(1 + m - 1)).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvtzvvtzvzzv. What is prob of picking 2 v and 1 z?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*-1*3*(-8)\/18. Let r = 0 - -5. Let l = r - 3. What is the smallest value in l, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*l - 1780 = -452*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 59*w**2 + 10. What is the hundreds digit of l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3349, -4922, -7541, -11206, -15917, -21674?\nAnswer: -28477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(198)\/sqrt(54))\/sqrt(3))**2)*-3.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:15 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2697 divided by -2043\nAnswer: -899\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.8117um in kilometers?\nAnswer: 0.0000004678117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-16)\/(-12) + -3. Let a(g) be the first derivative of 2\/3*g**4 + 0*g + 2 - 1\/9*g**3 - m*g**5 - 1\/3*g**2. Suppose a(o) = 0. Calculate o.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -69. What is the least common multiple of 44 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + b**2 - b - 6*b + 0*b**2 - 3*b**2 + 2*b**2 + (0 - 2*b**2 + 0)*(3 - 3 + 2) to the form g*b + m*b**2 + y and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqibwbbbwbuubbqi. Give prob of picking 2 q and 1 b.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 13*t = 122 - 96. Solve t*g - 2*d = 0, -7*d = -2*g - 3*d + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + z = -0*z - 27, -4*z - 28 = -2*a. What is the remainder when 1934\/7 + (-6)\/42*365\/(-73) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 - -1384033?\nAnswer: 1384075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 315353 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 126221497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5156003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.14868 times 1.148\nAnswer: -0.17068464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 5*z**2 + 5*z + 6. Let h be l(-4). Let p(s) = -h + 3 + 0 + 3*s + 6. What are the prime factors of p(8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2810 is divided by 506.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*s - 5. Suppose -4*c + 55 = -s*r, 70 = 5*c + 3*r - 8*r. Solve -k = 5*l + c, -4*l - 4 = -4*k + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7218 - 0.0218. Which is the closest to 0? (a) -0.2 (b) -6\/7 (c) 4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + -19)*3\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 + 2*l**2 + l**2 - 5*l**2 - l + 9 - 3*l**2. Let y(v) be the first derivative of -v**2 + 8*v + 4. Let d be y(4). Determine z(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*o - 936 = 59*o + 113*o - 203*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38653249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 589893638 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.8, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -294 * 0.1\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/4)\/(1\/16). Solve 5*d = 3*d - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/213 and 32\/33.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 14. Suppose -5*z - 5 = v, 0*z - 5*z = -5*g + 65. Let r(b) = b**2 + 84. Let d be r(0). What is the greatest common factor of g and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -4*r + 5*g, -2*g = -4*r - 6*g + 160. Suppose 3*u - r = 2*u. Let q = 80 - u. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 44*u - 15. Let p(x) = 49*x - 18. Let i(o) = -6*f(o) + 5*p(o). Let b(q) = -28*q**2 - q. Calculate b(i(z)).\nAnswer: -10108*z**2 + 19*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4367?\nAnswer: 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -19*z - 42. Let g be k(-6). What is the highest common factor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 138614, 138615, 138616?\n\"Answer: f + 138613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*m + 1242 = 0, a + 5*m + 447 = 120. Let b = 506 + a. What are the prime factors of b?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -246.82 and 2.\nAnswer: -493.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6. Let n(j) = -j. Let o(c) = -g(c) + 4*n(c). Let d(r) be the third derivative of -7*r**4\/24 - 11*r**3\/6 + 13*r**2. Determine 6*d(x) - 11*o(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7679nm in millimeters?\nAnswer: 0.0000167679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 1. Let y be v(-1). Let w(k) = 8*k - 2 + 11 + y*k. Is w(5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 - -145. Let y(q) be the first derivative of 7*q**4\/4 - q**3\/3 + q**2\/2 + q - 1. Let h be y(z). What is the greatest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1768, -3307, -4840, -6361, -7864, -9343?\nAnswer: -10792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 36*c - 1136. Let s be k(37). Solve -9*h + 169 = s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 d when four letters picked without replacement from dtdfxjxdxjdjx?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 3*x**2 + 3*x - 1. Suppose -4*w + 7 = -t, -t - 19 = -4*w + 4*t. Suppose 6 = i + w. Suppose -i*g + 3 = -7. Calculate q(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-14)*f*f)\/(f*f\/((f*f*f**(-3\/11))\/f))*(f\/f**(-11\/5))\/f**(2\/13) assuming f is positive.\nAnswer: f**(-5882\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/6 - 12390*u - 46053630.\nAnswer: -5*(u + 7434)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5185.524 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 126 (b) 0.2 (c) 1\/3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 37*v - 41*v = 14, -14 = -w + 3*v. Factor -9\/4*l + 1\/2 + 7\/4*l**w.\nAnswer: (l - 1)*(7*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5091504 to the nearest integer?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 20057427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 + 15 = 0. Let t = a - -5. Suppose -2*u - 15 = -21. Solve 0 = t*r - 6 - u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = -2984\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 - 12)*1*3. Solve 0 = u*s + 2*x + 15, -s - x + 10 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 11. Let s be y(-9). Suppose 3*i + 4 = k, -29 = -2*k - s*k - i. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12311390 and 64740?\nAnswer: 73868340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -87*i + 3045. Let b be l(35). Put -4, 68, b, 5 in increasing order.\nAnswer: -4, b, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 305 - 216. Suppose -2*o = 2*p - 26, -3*p = -3*o - 2*o + j. Calculate the highest common factor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6529080 and 0.027.\nAnswer: -176285.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 406 + -263. Calculate the highest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3024540*s**2 + 1914850*s wrt s?\nAnswer: 6049080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8\/49, -74.28, 72\/5.\nAnswer: -74.28, -5, 8\/49, 72\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-9)\/(-2 - -1). Let q = 12 + s. Solve -q*b - h = 12, -2*b = -0*h + 3*h + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1383 + -1376. Let a = -4 + 3.7. Let g = 53\/15 + -21\/5. Sort g, a, x.\nAnswer: g, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107 - 2647 = -308*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idtci. What is prob of sequence ct?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -9*z + 42. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00204769194 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 167\/(-13) + ((-84)\/91)\/6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-39)\/30 - 34\/85?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.203 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**4 - 2*l**2 - 2*l + 2. Let m(c) = 7*c**4 + 5*c**2 + 4*c - 5. Let g(y) = -5*a(y) - 2*m(y). Find the second derivative of g(h) wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-1)\/(-4)*-2. Suppose j*t - 15 = 5*t. Let n(w) = -w + 1. Is n(t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4626 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*y - s, 62*y - 59*y = -s - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + 107*o - 93. Give k(26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 76652, 224 in increasing order.\nAnswer: 0, 224, 76652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232587, -232585, -232573, -232545, -232495, -232417, -232305?\nAnswer: -232153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2\/9, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*s - 34 = 0, -3 - 9 = 3*s. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 91, 73, 43, -5, -77, -179?\n\"Answer: -h**3 - 11*h + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*g**3 + 3*g**3 - 15*g**3 - 97*g**3 + 4*g**3 - 4*g**3.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 59453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 194127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 61. Solve 4*z - 1 - 7 = a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 23 + 4*u + (-3 + 3 - 1)*(-u - 3*u + 2*u) - 12*u - 9*u - 14*u.\nAnswer: -29*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d**2 + 2*d + 9. Let q be f(5). Suppose 2*p = -p + q. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let f(w) = -13*w**2 + 52*w + 52. Let z(n) = -n**3 + 10*n**2 - 145*n + 1188. Let l be z(8). Give l*g(h) + 3*f(h).\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/2, -3\/7, 39, 5\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/8 - (-40113)\/(-4). Let v = f - 2471. Round v to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111111110000001101101 (base 2) to base 16.\nAnswer: ffe06d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 2*q + 2. Suppose -4*x + 5 = -3*g - 13, 2*x - 4 = -g. Let k be c(g). Calculate the greatest common divisor of 16 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 62*b**2 + 2*b - 6. Let t = 304 + -307. What is the hundreds digit of m(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -64*z**2 - 402*z + 12. Calculate x(-6).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -134 divided by -11\nAnswer: 134\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p**2 + 20*p - 19. Let w(b) = -3*b**2 + 7*b - 6. Let n(a) = 2*c(a) - 7*w(a). Give n(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.687 + -8.687. Put 5, -2\/7, 1.904, n in ascending order.\nAnswer: n, -2\/7, 1.904, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542625219 is divided by 2980?\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - -1 - 2 - 6 - -7. Let m(y) = 6*y**3 + 0*y**c - 2*y**3 + 0*y**3. Determine m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192*w = -197*w - 400*w - 370*w - 5400 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -1\/8*s**4 + 0*s**5 + 0*s + 0*s**6 + 10*s**2 + 1\/56*s**8 + 0*s**7 + 0 + 0*s**3. What is the second derivative of l(c) wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 o when four letters picked without replacement from {k: 6, o: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, 202, -118, 4, 0 in decreasing order.\nAnswer: 202, 4, 0, -118, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u - 6*u - 140 + 145. Let i(t) = -t + 2. Let y(z) = 10*i(z) - 4*p(z). Let q(f) = 8*f**2. Determine q(y(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = -184*u + 170*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2499973 (base 11) to base 13\nAnswer: -b88b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080260 rounded to the nearest 10000?\nAnswer: 2080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64067297)\/(-622697) - (-1 + 104).\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 26, 40, 52, 62, 70, 76?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12324355973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-105)\/(-70)*(-3)\/((-9)\/10). Suppose 55 = t*v + 2*x, 0 = -2*v - 3*x + 8*x + 22. What is the remainder when 86 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*s = -76*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/82 - -167\/246. Let b = 35\/72 + 1\/72. What is the closest to 1\/4 in g, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94839 + 0.3.\nAnswer: -94838.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + 15 + -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 19*t + 71. Let w be v(-22). Suppose 3*p - 2 = f, -17 = 5*p + w*f + 13. Let b(g) = -25*g**2 + 2*g + 1. Determine b(p).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4549 - 4053. What is the remainder when o is divided by 197?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from wofooosjbbfw?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 4*l + 1. Determine o(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1193 - 670. What are the prime factors of t?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200296571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -104 - 25290*l + 12672*l - l**3 + 12672*l + 51*l**2.\nAnswer: -(l - 52)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0864 - -0.0136. Let x = -13\/6 - -5\/2. Let p = -64 + 65. Which is the closest to z? (a) p (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198764173 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 6*v**2 + v - 1. Let y = 24 + -11. Suppose -2*w + 4*a = -2, 2*w - 4*a + y = -3*a. Let o = 3 + w. Calculate i(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(sqrt(175) + 4 + 2))**2*-3*5.\nAnswer: 28800*sqrt(7) + 101280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Let z = -7.6 - -8.1. Which is the third biggest value? (a) -2 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*(sqrt(180)*1 - sqrt(180)))\/(-5*-2*sqrt(6)))\/((-6*(sqrt(450) + sqrt(50)))\/(sqrt(55)\/(sqrt(11) - (sqrt(11) + 2*sqrt(11))))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33706, -134790, -303246, -539074, -842274, -1212846, -1650790?\n\"Answer: -33686*s**2 - 26*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b52 + 1?\nAnswer: b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3327027 divided by 81147.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 15*p**4\/4 + 3*p**2 + 17. What is the second derivative of t(o) wrt o?\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/717? (a) -0.5827 (b) 1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 15*p - 8. Calculate f(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 63 (b) 2\/9 (c) -1 (d) -17.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -0.5, -4, -1.\nAnswer: -4, -1, -0.5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -416.638 - -417. Let j = -0.058 - l. Let b = -0.4168 - j. What is b rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 82, 180, 306, 472, 690, 972, 1330?\n\"Answer: 2*m**3 + 2*m**2 + 78*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30113 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*h - 98. Solve 0 = -r, 0*v - 5*v - h = 5*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + t + 10 = 2*t, -4*t = 20. Is 3 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98137.32 litres?\nAnswer: 98137320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -35*l + 4. Let r(x) = -288*x + 33. Let u(t) = 33*c(t) - 4*r(t). Let v(z) = -16*z + 1. Give 11*u(h) - 2*v(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30710 divided by -37.\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 0*z**2 + 3*z**2 + (6 - 4 - 4)*(22*z**2 + 16*z**2 - 29*z**2) in the form u*z + j + v*z**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 3*u**3 - 1 - 3*u**3 - 28*u - 2*u**2 + 27*u. Let o be s(-1). Solve 0*t + 3*y = -5*t - 16, -o*t - 3*y - 12 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -11*l**2 - 2416 + 71*l**2 - 2414*l - 25*l**2 - 33*l**2 = 0.\nAnswer: -1, 1208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57775733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118050840 divided by 188.\nAnswer: -627930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*m - 6 = 828*m, -5*w + 2*m = 3*m - 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10560\/(-11000)*(-30)\/(-936)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 5.339\nAnswer: -1.0678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.785 - -4.785. Let l = 0.132 + 0.468. Let n = 89\/2 - 43. What is the smallest value in r, l, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/10)\/(2\/(-30)). Let j be 3\/(-12) + p\/4. Suppose 10 = 2*q + n, -6*n = -j*q - 2*n - 10. What is the second biggest value in 2, q, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 942 = -0*x. Suppose -10 = -2*w + 3*r, 161*w = 159*w + 2*r + 8. Suppose 3*h - 207 = w*q + 3*q, -5*h - 2*q = -x. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004474644 rounded to 6 dps?\nAnswer: -0.004475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15b (base 15) to base 16.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, i: 2, w: 1, j: 1}. What is prob of sequence mm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5400 divided by -2700?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5035 = 5*l, 0 = 8*l - 6*l + 4*z - 2038. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5397986, -10795975, -16193964, -21591953, -26989942?\nAnswer: -32387931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 6:14 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75*j - 46*j + 13*j)*(7 + 27 + 54) as b*j + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 33*k**4 - 12*k**3 + 177*k**2 - 285*k + 30. Let h(l) = -9*l**4 + 3*l**3 - 44*l**2 + 72*l - 8. Let n(p) = -15*h(p) - 4*u(p). Factor n(w).\nAnswer: 3*w*(w - 2)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.6313 + 0.0487. Let l = r + 0.82. What is l rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -21547, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**2*x*z**4 + 22*t**2 - 2*t*x**3 + x**3*z**3 - 2*x*z**2 - 17*z**4 wrt z?\nAnswer: 48*t**2*x*z + 6*x**3 - 408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 46*i - 34. Let w be g(-23). Is 495 not equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + -1)*1 - (0 - -4). Solve 5*q = 5*d - a - 3, 2*d - 8 = -4*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676330?\nAnswer: 2, 5, 47, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -1. What is the biggest value in q, 8, -3\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 61 - 66, 0 = -2*v + 5*o + 33 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 28*y**4 + 16*y**3 - 24*y**2 + 3087. Let s(f) = -3*f**4 - 2*f**3 + 2*f**2 - 1. Let u(g) = -12*s(g) - z(g). Differentiate u(w) with respect to w.\nAnswer: 32*w**3 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -10221202221100?\nAnswer: 10221202221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c + 0*c - 1 + 2*c - c**2. Let x(o) = 4*o**2 + 31*o - 9. Let h be x(-8). Determine f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3\/4 + 4735*i**2\/2 + 4465045*i\/4 - 4503005 = 0. What is i?\nAnswer: -949, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 14784\/23 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, w: 4, i: 1}. What is prob of sequence nnww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 453 and 10.\nAnswer: 4530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 8) to base 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-4 + 4 + 6*j)*(3 - 2 - 3).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*q - 33*q + 1456. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**2 + 875*y - 13*y**2 + 36*y**2 - 438*y - 435*y.\nAnswer: 13*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 33 = 3*p, 4*t + 17 = 3*p - 13. Let f = t + 6. Is -3*(0 - (-89)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6)**19 assuming w is positive.\nAnswer: w**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7998 + 5308.3. What is o rounded to the nearest 10?\nAnswer: -2690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 172*f - 18032.\nAnswer: 4*(f - 49)*(f + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (0 - 5 - (-2 + 3 - 6))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from bwaaa.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 15 = -84 + 541. Suppose -o - 5*g = -44, 6 = 2*g + 2. What is the greatest common divisor of o and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269163 (base 10) to base 11\nAnswer: -174254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 400*m - 3373. Give n(5).\nAnswer: -1373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-2)*(-3)\/(-7)*-28. Calculate the greatest common divisor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2752543823 and -17451.\nAnswer: -2752561274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6675 times 27467?\nAnswer: 183342225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**5 + x**4 - x**2 - 1. Let p(v) = 16*v**6 - 3*v**5 - 3*v**4 - 14*v**2 + 3. Let y(g) = 3*d(g) + p(g). What is the third derivative of y(b) wrt b?\nAnswer: 1920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45174, -45177, -45180, -45183, -45186, -45189?\nAnswer: -45192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 6*y**2 - 55*y - 195. Determine b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/10 - 7*j**4\/16 + j**3\/2 - 2*j**2. Factor u(o).\nAnswer: -3*(o + 2)*(4*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/13)\/a*a)\/a)**9 assuming a is positive.\nAnswer: a**(-144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.144 - -0.374. What is the nearest to n in -1\/11, -3\/4, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1320\/14 - -3) + 6\/(-21). Let r = -93 + x. Solve g = -r*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.84 times -0.4?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2298980 and 2140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -1763*l**7\/21 + 1091*l**3\/6 - 41*l - 33. Find the second derivative of u(k) wrt k.\nAnswer: -70520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-242*z**2 - 103*z**2 + 235*z**2)*(-2 + 0 + 1 + 3 - 4) in the form w*z**2 + p + x*z and give w.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 + 6*c**2)*(31*c**3 - 14*c**3 - 14*c**3 - 8).\nAnswer: 12*c**5 - 32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128432, 128426, 128418, 128408, 128396?\nAnswer: 128382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = w. Let m = -4 - w. Let a be (m + 1)\/(6\/4). Solve -a*i + 2 = 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4703064.9 rounded to the nearest 10000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*x + 23 = 12*x, x - 7 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67.02 - 66. Let g = p - 1.12. Let u be 9\/(-39)*(-4)\/6. Which is the nearest to 1? (a) g (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*y**2 + 26*y - 11*y - 9*y - 10*y as i*y + v + d*y**2 and give d.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*r = 66*r + 1776. Let t be r\/1716 - (-2)\/(-13). Let v be 33\/39 + 1\/(-1). Which is the second smallest value? (a) -4 (b) -0.2 (c) v (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at most -230\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1162, 4671, 10520, 18709, 29238, 42107, 57316?\nAnswer: 74865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q - q**2 + q - 9*q**2 + 58*q**5 + 22*q**2 wrt q.\nAnswer: 3480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3433751, 6867538, 10301325, 13735112, 17168899, 20602686?\n\"Answer: 3433787*r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 + 18*f + 31. What is p(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 63*q**2 + 162*q + 61. Calculate n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2074 and 38735.\nAnswer: 1316990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37051 plus 13167497?\nAnswer: 13130446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -176*j**2 + 2. Let y(a) = -4*a - 27. Give y(b(n)).\nAnswer: 704*n**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ououuu. Give prob of picking 1 u and 2 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12688222*t**5 - 1123728*t wrt t.\nAnswer: -253764440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45a - 31?\nAnswer: -48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 96\/14 - (-3 + (-88)\/(-28)). Determine d so that 0*d - 1\/4*d**2 + 1\/4*d**3 + i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w + 1. Let g = 134 + -121. Let s be j(g). Let f = 69 - s. Calculate the greatest common divisor of f and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 20727240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 230010 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 140*f**3 - 126*f**2 - 828*f.\nAnswer: -2*f*(f - 69)*(f - 3)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/3 + 2\/6. Suppose -85 = 2*o - 333. Is o\/6 + r\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4585 = 1461*f + 5642 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4*5\/(-550))\/((-468)\/(-1755))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((1 + 1 - 3) + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 166980 less than -115\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*i**3*p - 5*i**2*p - i**2 - 2*i*p + 11*i - 10*p + 2 wrt i.\nAnswer: -1014*i*p - 10*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4001533.\nAnswer: 19, 47, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167500 = -21*a + 18*a - 4*x, 0 = 5*a - 2*x - 279184. Is a a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*a + 36 + 28 = 0, -4*a + 8 = 0. Solve -2*l - 22 = -2*g + l, -g = 5*l + h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 + 2*k - 8. Let s be (15\/(-20))\/(2\/(-16)). Let n be y(s). Let f**5 + 2*f**5 + 6*f**2 - 3*f**n + 2*f**4 - 5*f**4 - 3*f = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -42 (b) 5 (c) -5 (d) -2.9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 4*m - 18. Give f(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-29 - (2 - 40)). Let h = 11 - 7. Let g = -0.6 - -0.3. Which is the closest to h? (a) g (b) l (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784 and 714.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(42)*2 + sqrt(42) + sqrt(42))*-2)\/(sqrt(48)\/(sqrt(8)*-2) + sqrt(12)\/sqrt(2)*3).\nAnswer: 64*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 2\/3*z**3 - 4*z**2 + 0 + 1\/12*z**4 - 31*z. Let a be (-2 + 3 + 1)*-3. What is u(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*w + 182, -3*w - x + 189 = 2. Solve 21*f + 11*f - w = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 1}. What is prob of picking 3 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3158*f**2 - 6328 wrt f.\nAnswer: 6316*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4918 + -4797. Let f = 0.047 - -0.953. Is f >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -33*h. Let l(q) = 585*q + 1444. Calculate s(l(t)).\nAnswer: -19305*t - 47652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16629 and 2829.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from guggug?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:45 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 7*y + 0*y - 6*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*o + 14*n**3 - 104730*n**2*o - 2*n**2 + 4*n*o + 3*n - 2*o - 13605 wrt o.\nAnswer: n**3 - 104730*n**2 + 4*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*f - 56 = 0, -k = 4*k + 5*f - 70. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i**2 + i - 2. Let v(r) = 2*r - 2. Let k be v(2). Let s be g(k). Is -1\/26 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -7, -13, -19?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2481 - -2481.04268. Round q to 3 dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3142, 3141, 3140, 3139, 3138?\n\"Answer: -x + 3143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = 71 - 467 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15459 minus -0.5?\nAnswer: -15458.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/157?\nAnswer: 1\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 18. Find the third derivative of 0*x - o*x**2 + 0*x - 5*x**3 wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -82*y**2 - 1820*y + 10638. Give u(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125415 smaller than 125415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -10 - 25. Is v equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 6. Let d(s) = -6*s + 33. Let j(f) = 4*d(f) - 22*g(f). Let v(b) = 26*b**2 + 3. Calculate v(j(k)).\nAnswer: 104*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 7*w - 1\/12*w**4 - 1\/6*w**3 + 0 + 3\/2*w**2. Determine p(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 - 160. Sort n, -8, 15.\nAnswer: -8, n, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -345462, -690766, -1036070, -1381374, -1726678, -2071982?\n\"Answer: -345304*d - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.5. Let t = -0.0268 + -0.5932. Let o = t - s. Round o to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1850, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30709?\nAnswer: 7, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h - 113611566 - 2218434. What is h rounded to the nearest one hundred thousand?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5160 and 1107465?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 + 7*a**2 - 4*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -2 + 9 + (-2 + -18 - -6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1438 and 4.3.\nAnswer: -6183.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 14*z - 28 = 0. Let o be 1 + (-11)\/(-5) + z. What is the fourth biggest value in -2\/3, -2, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698 a factor of 83412552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 2. Let q be x(-2). Let i = -14 - -24. Let u = i + -11. Is u >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4378 + 4981. What is the greatest common divisor of 737 and d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 8*b + 2. Let o be t(-8). Suppose 14 + 2 = o*s. Solve -5*x - u + 23 = 3, 5*u = 2*x - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10 - 1751863*g**4 + 10 - 5*g + 1754074*g**4 wrt g?\nAnswer: 26532*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2533208 divided by 358\nAnswer: 7076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-648)\/(((-14)\/4)\/1). Let f = 1215621\/5530 + -32648\/79. Let s = p + f. Find the common denominator of 71\/4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 7*l + 2*l**3 + 8*l + 3*l**2 - 3*l**3 + 7 - 5*l**2 as q*l**2 + m*l**3 + z + o*l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaataaaa. What is prob of picking 2 a?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 17*o + 4*m = 610, -5*o = m - 610. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 35 = -5*m. Let o(g) = g**2 - 7*g - 4. Let t be o(m). Let h = 5 + t. Is h >= -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 4*d + 16. Let h be n(-6). Suppose h*p + 205 = 33*p. What are the prime factors of -4 + (p - (2 - 6))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6967*w**2 + 5 - 6973*w**2 - 5.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 413457828\/19 or 21760939?\nAnswer: 21760939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -63. Which is the nearest to 1? (a) -4 (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 614 and 12861151.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x + 48 = 0. Calculate the least common multiple of 8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-155)\/15)\/((-8)\/24) is divided by (12\/(-10))\/(2\/(-40)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)\/m)\/m*m*m)**(-14\/9)*m**(-3)*m*m**(-2\/47) assuming m is positive.\nAnswer: m**(-1934\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -9640, -41.2?\nAnswer: -9640","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2 (c) 5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -45, 105, 395, 873, 1587?\nAnswer: 2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 5*p + 5*p**4 - 4*p + 3*p**3 - 2*p**4 + 9*p**4 in the form u*p**2 + t*p**3 + o*p**4 + f + y*p and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**6 - 3*g**4*n - 133*g**3 - g**2*n - 37563*g - 2*n wrt g?\nAnswer: -360*g**3 - 72*g*n - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-7 + 9 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 895 (b) -4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 6 + b - b)*(-6*b**2 + 8*b**2 + 10*b**2).\nAnswer: -12*b**3 + 72*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2447, 3842, 6167, 9416, 13583?\n\"Answer: -t**3 + 471*t**2 - 11*t + 1988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 57 = -4*u, -4*u - 301 = -0*w - 5*w. Solve 60*v = w*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:39 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 210*s - 1996. What are the prime factors of a(132)?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 2*m - 2. Let r(g) = 10*g**2 - 3*g - 3. Let o(c) = 22*c**2 - 6*c - 7. Let y(v) = 6*o(v) - 13*r(v). What is -4*u(a) + 3*y(a)?\nAnswer: -2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3867 divided by 1.\nAnswer: -3867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1000 divided by 2.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5619563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 7*r**2 - 14*r - 43. Let l be z(-8). Suppose -l*f + 6*f + 3*t - 287 = 0, 614 = 2*f - 2*t. What are the prime factors of f?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324\/2139 + 17 + (-529)\/31.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 376 = 2*j. Let h = 40089 - 40055. Calculate the remainder when j is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 52 + g - 51 - 2*g. Let s be (-46)\/10 + 4\/(-10). Is q(s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 66 = 12*g. Let o be (-28)\/(-210) - g\/9. Sort 5, -0.5, o, 0 in ascending order.\nAnswer: -0.5, o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -60. Let y be (-5)\/10*-1*l. Solve -2*n = 2*n + y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 5*t - 9. Let s be h(6). Let l be s\/(-18)*-3*-788. Suppose 44 - l = -5*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 + -3 + 2363 + -2478.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01847559535 to five dps.\nAnswer: 0.01848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/5 + (7 - 6). What is the closest to 0 in c, 0.5, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -194 + 314. What is the greatest common divisor of b and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3 + 35*v**2 + 5*v - 35 = 0?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - -13.93. Let h = 14 - w. Which is the smallest value? (a) -5 (b) h (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274634 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-164)\/(8 + -12))\/(2\/4). Let o = z - 78. Let n(j) = -j**2 + 8*j - 10. Give n(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66617+810\nAnswer: 67427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5774.7037 - -130252607.7037. Let v = 130246851.0000007 - z. Let u = 18 - v. What is u rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3335, -69, 4, 5, -8, -2 in decreasing order.\nAnswer: 3335, 5, 4, 0, -2, -8, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -810 - -434. Let t = 661 + s. List the prime factors of t.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 + 1 - 5*k**2 - k + 8*k**2 - 10*k**2 + 2*k**3 to f + t*k**2 + u*k**3 + w*k and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m + 9. Suppose 12*u - 24 = 9*u. Let q(r) = 3*r**2 - 9*r + 16. Let b be q(u). Suppose -7*w = b - 10. Let z(h) = -h + 1. Determine w*z(a) + 2*t(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*z + 8, 2*d - 4 = -z - 2*z. Let v be 0*(z - 2\/4). Let x be (v - 0)*2\/(-4). Solve -2*l + 6 = -x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/(-6)*9\/2. Suppose 48*t = 61*t - 7202. Let d = 580 - t. What is the highest common factor of c and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*(-13)\/507)\/((-20)\/6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -14*v**2 + v + 22. Let y(r) = -9*r**2 + 2. What is a(y(u))?\nAnswer: -1134*u**4 + 495*u**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.88 + 0.12. Let w(k) = k**2 + k + 5. Let i be w(3). Let r be 3 + (-3)\/15*i. Which is the nearest to 0? (a) n (b) r (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1270 = -3*m - 5*a, -10*a - 845 = 2*m - 7*a. Let o = -415 - m. Solve o = -2*u + 4*n - 6 - 6, 3*u - 14 = -2*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*29172.\nAnswer: 11668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 6*d. Let p(x) = -x**2 + x. Let s(l) = 48*l + 42*l - 80*l - 24. Let k be s(-6). Let n = 85 + k. Give n*t(u) + 6*p(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 2:29 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k. Let q(z) be the second derivative of 0*z**3 + 11\/12*z**4 - 9 + z + 0*z**2. What is r(q(x))?\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31750 = -1139*a + 2409*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 694885, 694891, 694897, 694903, 694909?\nAnswer: 694915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 13. Let i be (-23)\/(-2) - 11\/(-22). Let y = i - -5. Let m be h(y). Solve -g + 3 = r, 2*g - r - 20 = m*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p + 2. Let f be z(-6). Suppose 4*w = -3*j + f, -5*j - 2*w = -2*j - 34. What is the units digit of 12\/(-8)*j\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:10 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -83095755 to the nearest one hundred thousand.\nAnswer: -83100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7222*c - 63068. Calculate v(9).\nAnswer: 1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (52\/9)\/(-26) + (-1640)\/(-9). Calculate the greatest common divisor of 266 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(77) - sqrt(77)*-1) + -2*sqrt(77)*4)\/(-1*(sqrt(175) - (sqrt(175) + sqrt(175)*3 + sqrt(175))*5)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(130)*2*-1)\/(sqrt(110)\/(3*-1*sqrt(11))) + 5.\nAnswer: 5 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1294 and 84.\nAnswer: 54348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c + 147 = 679 + 413. Solve 7 = 5*m + c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00224*621.62.\nAnswer: -1.3924288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(55)\/sqrt(5)*1 + (sqrt(11) - (2*sqrt(396))**2))*5.\nAnswer: -7900 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1211405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -131*x - 809. What is l(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186387906*q**3*s*z**3 + q**3*s*z**2 + 10039463*q**2*s + q*s*z**2 wrt z?\nAnswer: 1118327436*q**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-12)\/(0 - 3). Let n(f) = f**3 + f**2 - f + 1. Let g be n(-2). Let c = 2 - g. Solve 2*s = 5*v - 0*v - 19, -c*v + 3 = j*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + v = 0, 5*v + 0*v = 2*l. Let r = -70\/477 - 4\/53. What is the nearest to l in -5, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42957 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -21. Suppose 4*d = 5*h + 60, -p*d + 88 = 6*h - 4*h. What is the highest common divisor of 12 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2 - 2)*(-3*q**2 + 4*q**2 - 2*q**2) + 2*q**3 + 0*q**3 - 2*q - 4*q**3.\nAnswer: -4*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -33029041 + 33029041 - 36263*f in the form v*f + m and give v.\nAnswer: -36263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 11*r - 16460. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 1. Suppose 0 = 5*m - 5 - 10. Let l be t(m). Find the first derivative of -2*k**2 + 1 + k**2 + l*k**2 + 0*k**2 wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 2*c - 26, 201*c + 4*g + 4 = 199*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 562015678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3704363697 to the power of 1\/3, to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or -0.0637?\nAnswer: -0.0637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 256639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/123, -2\/11, 0.0445?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 11 = o. Let x(h) = -57 + 57 + 0*h + o*h. Let j(r) = -16*r. What is j(x(u))?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -25*v + 103*v - 62 + 74*v + 270 + 44. What is the tens digit of w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -s - 14, 2*p + 2*p + 50 = 5*s. Is s at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29819.862 months to centuries.\nAnswer: 24.849885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*q**2 + 2*q - 67*q**2 - 43*q**2 as t*q**2 + i*q + h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3049 is divided by 341.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.414444um to meters.\nAnswer: 0.000007414444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 32. Let n(q) = 2*q. Calculate f(n(u)).\nAnswer: 2*u + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1328968941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1754*b**3 - 2*b**2 + 7*b + 10. Let d be p(-1). Calculate the greatest common divisor of 345 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23996 and -24152 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 896104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -202860 divided by 6762?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3341624 and -79\/131560?\nAnswer: 16708120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1112, -4256, -9496, -16832?\nAnswer: -26264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26714 - 8?\nAnswer: 26706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2805*p - 35632 + 35632 in the form r*p + w and give r.\nAnswer: 2805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/11 - 55130*n**2\/11 - 69070372*n + 138160792.\nAnswer: -(n - 2)*(n + 27566)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-9))\/(5\/15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 2.7.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5 = -5*l, 17 = 5*t + 2*l - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*r**3 - 8 + 8 + 203*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millennium in years?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + (sqrt(84) - (sqrt(84)*3*-2 + sqrt(84)) - sqrt(84))\/(3*sqrt(768)))**2.\nAnswer: -5*sqrt(7)\/4 + 3055\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6176, 6153, 6100, 6005, 5856, 5641, 5348, 4965?\n\"Answer: -2*n**3 - 3*n**2 + 6181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 85*v = -135272. Which is smaller: 1824 or v?\nAnswer: 1824","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/14 - 2\/7. Let y = 7 + -5. Let r be 7\/2 - 6\/y. Which is the nearest to m? (a) -3 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((128\/(-12))\/2)\/(4\/(-6)). Suppose -6*w - 6 = -4*w - 2*j, -w - 4*j - l = 0. Let y(h) = h - 2. What is y(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80\/3*(6 - (-2 - -5)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63.2 - -72. Let r = z + -9. Let v = -33 - -98\/3. Sort 3, v, r.\nAnswer: v, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199750856 is divided by 4860.\nAnswer: 4856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u - 30. Let g(s) = s + 10. Let a be g(u). Solve 0*c**a + 0 - 2\/5*c**3 + 2\/5*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42235.74 to the nearest one hundred.\nAnswer: 42200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 26707289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*f = -w - 270, -30*w + 4*f = -28*w - 360 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 + 18\/(-15)*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 11*i + 460 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10*r**2 - r - 4. Let f(z) = z**3 + 9*z**2 + 14*z + 13. What is the remainder when o(-2) is divided by f(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 9 = h, 0 = -19*g + 20*g - 2*h - 18 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610347572 to the power of 1\/3, to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**2 + 10*h - 21. Let t be o(4). Find the third derivative of 293 + 23*d**t - 293 + 11*d**6 wrt d.\nAnswer: 1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:54 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -50*b - 234 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvj when three letters picked without replacement from cjjv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 5*m**2. Let q(y) = -y**3 + y**2 + 1. Let u be -7 + ((-132)\/(-1))\/12. Determine u*q(k) + b(k).\nAnswer: -2*k**3 - k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*v + 17, 0 = 2*i - 3*v - 18 + 5. Suppose 10*t = -t + 22. Suppose -4*x + 1 = -3*y - 5, 5*y - 16 = -t*x. Solve x - 8 = i*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1\/5*55\/(-33)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -184, -704, -1570, -2782, -4340, -6244, -8494?\n\"Answer: -173*g**2 - g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 2:03 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 13. Suppose 0 = s + r - 4, -4*s + 2*s + r - z = 0. Suppose 0 = -s*t + 5*t + 20, -3*f + 5*t + 20 = 0. Solve y = i - 3*i, -2*i = f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36336 and 13626.\nAnswer: 109008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8624 - -0.1376. Let x be ((-21)\/(-9) + -3)*-831. Let a = x + -11636\/21. Sort 3, g, a in descending order.\nAnswer: 3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*j**4 - 160*j**3 + 20*j**2.\nAnswer: 5*j**2*(j - 2)*(15*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.78541 - -8.79. What is o rounded to 4 decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731497 is divided by 807?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 61.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2*sqrt(320))**2 - sqrt(320) - (sqrt(320) - (-1*sqrt(320) + -5))) + 4 + (0 + -5 + (sqrt(320) - (sqrt(320) + 5)) + sqrt(320))**2.\nAnswer: -344*sqrt(5) + 1724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 + -95. Let x(d) = -d**3 - 3*d**2 + 5*d + 1. Let k be x(-5). Suppose 5*h + 6 = k. What is the greatest common factor of g and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 12. Let m = -15.28 - -0.28. Let x = 17 + m. Which is the second smallest value? (a) x (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53409619.\nAnswer: 29, 1841711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(-2 + sqrt(68)))**2 + -6*(-4 + sqrt(68)*1)**2.\nAnswer: -3104*sqrt(17) + 28296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 9*c**2 - 4*c**2 + 4*c**2 - 325*c.\nAnswer: 2*c**2 - 325*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12758 (b) -0.12 (c) 7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*i + 3*n - 9, -3*n + 6 = 3*i. Suppose 0 = -4*k + 4*t - 20, i*k + t = -2*t - 21. What are the prime factors of 2*(-3)\/k*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 8. Let i be g(6). Suppose -i*s + 5*s = 39. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3059150 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13*j + 7. Let y(d) = 6*d + 4. Let l(t) = -3*g(t) + 7*y(t). Let a be l(5). Calculate the highest common factor of a and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16081\/80 - -201. What is the common denominator of i and 87\/40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.52 + -54. Let h = m + -13.55. Let f = 11 + h. What is f rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -2*f + 4, y + 16 = -f + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48527.\nAnswer: 48527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (2 - 1))\/(-2). Suppose 0 = -2*w + 4*a - 10 + 34, 2*w = -5*a - 30. Solve w = -i + 3 - l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*c + 29 = 0, -2*f = -5*c + 1 + 27. Let u(l) = -7*l + 1. Let h be u(-4). Let t = f + h. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -1\/6, 0, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.11076 times 6\nAnswer: 0.66456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287 and 14928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*l + 173860 = 0, -2*u + l + 69533 = 2*l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10922 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 2\/9, 5, -287 in descending order.\nAnswer: 5, 4, 2\/9, -0.4, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, h: 15}. Give prob of picking 1 h and 3 s.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -176*o. Let v(c) be the first derivative of 2*c**3\/3 - 594. Give v(s(i)).\nAnswer: 61952*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2 - -1) + 1. Let n(c) = -1 - 2*c + 0*c - p. Let d = 10 - 13. What is n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*5\/(-50))\/((-5)\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8019 - 7843.236. Let n = -0.236 - x. Let j = n + 176.313. Round j to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20419398661 to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*d - 4*o, 101*o - 2 = -2*d + 103*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + 3 + 27*p**2 - p + 0*p - 21*p**2 in the form c*p**3 + w + h*p**4 + n*p + y*p**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:38 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1109565 divided by 6\nAnswer: 369855\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12945634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*1*-2. Let n be 14*m\/(-2) + -1 + 2. Let k(l) = 0*l**2 - n*l**2 + 2*l**2 + 5*l**2. Let i(b) = 20*b. Give i(k(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Suppose t + 3*h + z = 1, h + 11 = 5*t. Let g(b) = 258*b + 1291. Let f be g(-5). Sort f, -2, t in increasing order.\nAnswer: -2, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3110 and 125830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s - 27. Let j(c) = -5*c - 13. Let u(g) = -10*j(g) + 4*z(g). Differentiate u(o) with respect to o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 7 - 72*h**3 + 5 + 174*h**3 in the form x + u*h**2 + p*h + y*h**3 and give y.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - (1 + sqrt(1377) + 3) - (0 + sqrt(833) + sqrt(833) + 2).\nAnswer: -14*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98 and -51549.\nAnswer: -5051802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0.4, 0.024, -2\/11, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Suppose -4 = c*n - 2*n. Let z(x) be the first derivative of -3*x**2\/2 - 6*x - 8. Calculate z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 10:33 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -563325 minus 1177?\nAnswer: -564502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92926 or -371707\/4?\nAnswer: -92926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 43322.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 - 2*y**2 - y - 4. Let w(x) be the first derivative of x**4\/4 + x + 2. Let g(m) = -l(m) - 4*w(m). Find b such that g(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u + 10*u**2 + 13*u in the form d + p*u**2 + w*u and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 2769.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*m + 5*i + 13, -i = -3*m + 35. What is the greatest common divisor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 5)*(-3*p**3 + 0*p**3 + 8*p**3) + 3*p**2 - 2*p**3 - 3*p**2.\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 20*g - 59. Let n be x(-16). Let j(l) = 2*l - 1. Let f(c) = c**3 + 3*c**2 + 19*c - 7. Let v(a) = n*f(a) - 40*j(a). Factor v(u).\nAnswer: 5*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3335\/30 - (-2)\/(-12) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.49, 0.12, -5?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -n + 4*z, -3 + 11 = -n - 2*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + (((sqrt(320) - -2*sqrt(320)) + sqrt(320) - sqrt(320))*-1)\/sqrt(10)*4)**2.\nAnswer: -192*sqrt(2) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 12*t + 28. Let j be i(4). Let f be (-26)\/3*1*-3. Let m = j - f. Let o(l) = l**2 - 5*l - 5. Let s(x) = 2*x + 2. Give m*o(y) + 5*s(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7158 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 20258?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/3 - 76*c - 5. Let b(p) = -970*p**2. Give a(b(o)).\nAnswer: 1940*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17789?\nAnswer: 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/20 and -121\/350?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 5*p = 22, -3*m - p = -14. Suppose -w = -m*w. Let y be ((-90)\/(-4))\/5 + 2\/4. Solve w = y*g - 1 - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)**(-8)\/((((r\/((r*r**(1\/3)\/r)\/r))\/r)\/r)\/r**(-2\/31)))**(-1\/17) assuming r is positive.\nAnswer: r**(-769\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 891, 1438, 2345, 3606, 5215, 7166?\nAnswer: 9453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679237 is divided by 1679232.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74458133993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*q + 12 = 0, -4*h + 4*q = -3 - 21. Suppose i - 5*i = -32. Let z be (-8 + 374\/85)*(-5)\/3. Solve -z*t + 2 = -4*t - 4*b, h*t + i = -5*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 8. Let o(w) = -2*w + 9*w - 5*w + 4. What is o(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**7\/35 + p**5\/10 + 98*p**3\/3 - 321*p**2. What is the first derivative of y(n) wrt n?\nAnswer: -24*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 169474 and 48953.8.\nAnswer: 218427.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -47*j**5\/5 - 17*j**4 - 239*j + 19. Let v(w) be the first derivative of r(w). What is the third derivative of v(d) wrt d?\nAnswer: -1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44163, -44162, -44161, -44160, -44159?\nAnswer: -44158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 62.165. Let j = y + -1.9. What is j rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -16*p**3 - 50*p**2 + 22*p + 85. What is u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 15 + 6. What is the common denominator of 241\/66 + b\/(-18) and -13\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -56604?\nAnswer: 56608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z + 2 = 0. Is 37 a factor of ((185\/3)\/5)\/(z\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2480*y = 2649*y - 4732 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199328958?\nAnswer: 2, 3, 3691277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let m(b) = -5*b**2 - 6*b - 9. Determine m(o) + 4*u(o).\nAnswer: -o**2 - 6*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18601.5 times 1?\nAnswer: 18601.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481527, -481533, -481541, -481551?\nAnswer: -481563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 211069276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 366 = 2*d, 4*d = 5*y - 235 - 479. Let h = d - -258. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 + 76?\nAnswer: 76.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 354*t + 6028. Let v be k(-17). Let g(u) = -9*u**2 - 11*u + 21. Let w(o) = -5*o**2 - 5*o + 11. Let r(n) = 6*g(n) - 11*w(n). Determine r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -15, 0 = n - 6*n + 5*l + 2425. What is the remainder when n is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-3)\/1)*1. Suppose 4*y - 1814 = -4*o + 2*o, -y = j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*u = 71, -4*u - 38 = -3*i + 17. Let m = i - 10. Suppose 3*w + 2*s - 17 = m, 5*w - 45 = -5*s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -34. Solve 9 - l = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from ecmmhmjctjmt.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -140.3 in -4, -0.3, 24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9376 - 0.95. What is j rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlq when three letters picked without replacement from {l: 2, y: 2, q: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -5, 3, -10, -31 in decreasing order.\nAnswer: 9, 3, -3, -5, -10, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**7\/147 - 3*w**5\/70 - w**4\/21 - 9*w + 2. Determine g so that q(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59819 equal to 777666\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 721667440 to the power of 1\/2, to the nearest integer?\nAnswer: 26864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 77, 147, 231, 335, 465, 627, 827, 1071?\n\"Answer: v**3 + v**2 + 60*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15655 divided by -1\nAnswer: 15655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7317 (base 8) to base 3.\nAnswer: 12012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -431570000 to the nearest one million.\nAnswer: -432000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -l - 10, -5*b + 9 = l. Solve 2*w + 1 = 5*v - 2, b*v = 3*w + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzknnzzzvzv. Give prob of sequence zvv.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -q - 6*k, -749*q + 745*q + 21*k - 249 = 0 for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233\/20 + 49\/4. Let u = -0.1 - 0.4. Let w = 9 - 11. What is the second biggest value in z, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 3 = 4*i. Let x be ((-6)\/i)\/((-3)\/10). Suppose 2*u - 212 = -s + 3*u, -x*s = -u - 845. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/109 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(176))**2 + -4 - (sqrt(176) - (2*(sqrt(176) + -2*sqrt(176)) - sqrt(176)))) + -4 + 4*(sqrt(176) + 4 + sqrt(176) + sqrt(176))**2.\nAnswer: 368*sqrt(11) + 6568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + (-100 - 23) + (3 - 29).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -0.2 (b) 2\/13 (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -17*f - 12. Let a = -86 + 88. Let o(m) = -m - 1. Let v(w) = a*o(w) + h(w). What is the derivative of v(d) wrt d?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**5\/30 + 13*q**4\/24 - 8*q**3\/9 - 7*q**2\/3 + 1050. Find t such that a(t) = 0.\nAnswer: -14, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 30 = -5*q + 4*z, 0 = 4*q - 3*z - 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -17. What is the third smallest value in -1, w, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j. Let s(z) = 3*z. Determine i(s(r)).\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 6*m + 3. Let i be y(-6). Suppose 2*z - 7 - i = 0. Suppose -u + 2*u = 0. Solve u = z*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -47. Solve v = -z*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {n: 8, o: 2, v: 9, g: 1}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7750415 (base 8) in base 7?\nAnswer: -23503051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 0*c + 5 + 5*c + c**2 + 0*c + 3*c. Let i be o(-8). Sort i, 0, -5.\nAnswer: -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73034 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 6*j**3 - 2671 + 3*j**2 - 4*j**3.\nAnswer: -2*j**3 + 3*j**2 - 2671","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 6680\/9 and 742 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d - 2. Let j be k(3). Let s = j + 21. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 438723*o + 1516*o**2 - 438723*o as c + i*o**2 + z*o and give i.\nAnswer: 1516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9 + (-568310)\/(-10455) + -55.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12 - (-378)\/15) + -16)\/(4\/30).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/(g**13\/g))**31*(g*g*g**0\/g*g)**33\/(g\/(g**0\/g*g))**(-2\/29) assuming g is positive.\nAnswer: g**(-781\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 374340 divided by -1\nAnswer: -374340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*f + 449*f - 275 = 0. Solve 4*b + 4*w = -20, 5*b - 3*w + f - 10 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 82960416 divided by 4816\nAnswer: 17226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 32) + (-25 - -2) - 3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 15) to base 9.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i + 100*i + 4940 = -1209 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -11\/5 (b) 4 (c) 111\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/11, -65195, 177, -3?\nAnswer: -65195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-1 - 0) - ((122 - 225) + 122)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*a = -56870287 + 56843827 for a.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-75)*((-5)\/(-1))\/(-20).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7039766 to 3 dps.\nAnswer: 1.704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-541)\/(-2164))\/(4\/(-6)) - -1066*4\/(-64)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hss when three letters picked without replacement from {p: 2, o: 1, e: 3, h: 1, s: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.584 * -81.\nAnswer: -47.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 divided by -9611?\nAnswer: -407\/9611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176 - 308. Let a = f + 171. Which is greater: a or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 41 (base 13) to base 14\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -4 (c) 3 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240380, -8, -4 in decreasing order.\nAnswer: 240380, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4523885um to kilometers.\nAnswer: 0.0000000004523885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 22\/10) + 1089\/45. What is the greatest common factor of y and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Let d(y) = y**2 + y. Let q(m) = 10*m**2 + 6*m. Let k(r) = 6*d(r) - q(r). Give k(j(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101100100110011001 (base 2) to base 7.\nAnswer: 13315446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-8) - (-1)\/4. Let x(j) be the first derivative of -j**6\/120 - j**5\/120 - 27*j**3 - 49. Let l(d) be the third derivative of x(d). Give l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -17*o**2 - 16*o + 149. Let z(d) = 50*d**2 + 49*d - 447. Let t(x) = 11*j(x) + 4*z(x). What are the prime factors of t(8)?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161764 - -78274. What is w rounded to the nearest 1000?\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 953*h - 956*h + 18, -2*g - 3*h = -18. Sort -0.5, -2, g, 1\/2, -12 in ascending order.\nAnswer: -12, -2, -0.5, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 13*l**2 + 11*l + 14. Let x be p(12). Let q(d) = 38 - 26 + d**x + 5*d - 22. Suppose 0*k - 21 = 3*k. Calculate q(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-135)\/(-54) + 39\/(-6). Let s be (-1022)\/(-365) + 3\/(15\/h). Solve 2*f = s*n, 3*n + 3 = 2*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -299*d + 66659. Calculate i(223).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + a**2 - 2*a + (a + a + a)*(40*a - 32*a - 176*a) + 0*a**2 + a**2 + 7*a**2 as r*a**2 + g + y*a and give r.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -w - 5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41714 by -2.\nAnswer: 20857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2982354 (base 11) in base 4?\nAnswer: -103200033121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.3, -11, 289?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008113310992 to 5 decimal places.\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 8?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*q**2 + 2 + 0*q + 0*q - 18*q**2 - 78*q**2.\nAnswer: -4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*y**4 + 39*y**3 + 2727*y - 1 wrt y?\nAnswer: 48*y**2 + 234*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2)*(-12)\/(-10). Let d(s) be the first derivative of -s**3\/3 + s**2\/2 + 10*s - 55. Let x be d(j). Solve k = -1 + x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265935, 265927, 265895, 265827, 265711, 265535, 265287, 264955?\nAnswer: 264527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695342773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63 - (-103 + 56)) + 55 + 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100906.\nAnswer: 2, 13, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 11. Suppose 6 = -w*t + t. What is the derivative of 2*a - 5*a - 4*a + t*a - 2 wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685467.\nAnswer: 3, 76163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 27)*(1 - 1 + 1)*(-t + 4 - 3 - 3).\nAnswer: 32*t + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/8 - 0 - 69\/(-92). Suppose 4 = 2*q + 2*h, 0 = f*q + 6*h - h - 4. What is the third derivative of -q*x**3 - 9*x**2 - 4*x**3 - 20*x**2 wrt x?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*j**3\/4 + 1197939*j**2\/8 + 1397577*j\/8 + 199653\/4 = 0. Calculate j.\nAnswer: -66551, -2\/3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/1191 and -79\/28584.\nAnswer: 28584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1881549.\nAnswer: 3, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 13*k**2 + 13*k + 17. Let n be p(-12). Suppose -3*z - n*z = -552. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -450*n + 486*n. Solve -n*j + 6*p - 2*p + 2 = 0, -5*p - 25 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 + 2*f**2 + 2*f - 39. Let j(t) = t**3 + t**2 + t. Give 2*d(k) - 4*j(k).\nAnswer: 2*k**3 - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Suppose 0 = -o*v - 11 + 19. List the prime factors of v\/4*42 + -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e6d (base 16) to base 7\nAnswer: -13524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 173*i**2 + 349*i + 1146. Calculate t(-175).\nAnswer: 1321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 328779*h + 657555. Calculate m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -853*j**3 + j**2 + 24*j + 22. Determine g(-1).\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -738, -1488, -2248, -3024, -3822, -4648, -5508?\n\"Answer: -f**3 + f**2 - 746*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + -17 - -25\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303, -39, -42 in descending order.\nAnswer: -39, -42, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q - 3 - 3*q - 5*q + 1. Let s be m(7). Solve -5*f + s = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3237*x**3 + x**2 - 3238*x**3 - x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Solve -9 = 2*l - n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -12, 7, 28?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-6) - 0)*(-180)\/(-150). What are the prime factors of u\/6 - 3492\/(-27)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*d. Let h = -3 - -3.1. What is the closest to d in h, -5, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 2}. What is prob of picking 1 l and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1071*t**2 - 3698*t**2 + 497*t**2 - 3346*t**2 to the form p + j*t**2 + c*t and give j.\nAnswer: -7618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*m**2\/3 + 1306*m - 3854\/3.\nAnswer: -2*(m - 1)*(32*m - 1927)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 21. Let p be q(12). Suppose 25*l**3 + 5*l**p + 20*l**2 + 3*l + 20*l**4 + 5*l**5 + 2*l = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54932 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmdmmdmmd. Give prob of picking 2 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-6 + 5 - 31 - -2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 25*t - 51. What is f(24)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.7, -4, 405, 3, -1\/10?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 + 126. Are -1\/2 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*d = -8813 - 17759 for d.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 11) in base 10?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 2:50 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14339.5*0.1.\nAnswer: 1433.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k**(-2\/99)))\/k*k*(k*k\/(k\/k**29)*k)\/k*k)\/(k\/(k\/(k**(16\/5)*k)*k))**(2\/3) assuming k is positive.\nAnswer: k**(14794\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*-1*sqrt(1176))\/(3*sqrt(1452)*-2).\nAnswer: -7*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-21))\/((-6)\/(-4)). Suppose 0 = -2*y - 3*a + 26, -2*a + 25 + 29 = 5*y. Let k = 9 - y. What is the nearest to h in k, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1801074681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:27 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/8 - 30\/8. Let z = i - -9. Let y be (2\/4)\/(z\/72). Solve -4 = 2*a + 3*n, y*a - 3 = a - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22352660 and 40?\nAnswer: 44705320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 113887834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8246955421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 30*h**2 - 3*h + 3 - 29*h**2 - 2*h. Let q be x(5). Solve 20 = -q*c - 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0*a**3 - 3*a - 17 + 16 + a**2 + a**3. Let l be p(-2). Let t be (35\/14)\/(l\/132). What is t rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47049*p - 132068 wrt p?\nAnswer: 47049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**3)\/(f*f*f*f**(2\/3)*f*f*f)*(f\/(f**(-2\/71)\/f))\/(f\/(f*f\/(((f*f*(f\/f**(-2\/3)*f)\/f)\/f)\/f*f))) assuming f is positive.\nAnswer: f**(-1556\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 143295175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-10)\/4)\/(-5). Suppose 0 = j - y*j - 16. Let p(b) = 4*b**2 - 12. Let r(m) = 1. Let x(u) = j*r(u) + p(u). What is the first derivative of x(w) wrt w?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1664\/128)\/(-4 - ((-11)\/2 - -2))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2394 = -14*n. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 11*i**2 - 11*i - 43. Let k be o(7). Suppose -2*d + k = 4*t, 4*t - 54 + 16 = -d. Solve 42 = 4*m + d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 32. Put -5, p, 0 in ascending order.\nAnswer: -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-799)*(2\/2)\/3.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(14\/8) - 2. Suppose -56 - 10 = -s*v. Calculate the least common multiple of 21 and v.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m. Let v be c(2). Let f be 3*(-6)\/(-27)*v. Suppose -5*a - 7*t = -2*t - 35, 2*a - f*t - 20 = 0. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/9 - 35535632*n\/9 + 157847642704928\/9 = 0. What is n?\nAnswer: 8883908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 348860 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 44.383.\nAnswer: -31.0681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8\/7 of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6*183\/(-61))\/(15\/18).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 21*n**2 + 67*n + 36. Does 12 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r - r**3)*(-r + 0*r - 2*r + (-4 + 3 + 2)*(10*r - r - 4*r))*(32 - 3 + 30) to the form y + d*r**2 + f*r**4 + n*r + v*r**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/10)\/((-82)\/(-12)). Let o = c - -97\/205. What is the fourth smallest value in o, -4, 1\/7, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 0*f = 2*s - 2, 0 = 2*s + 2*f + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/33 and 79\/2090?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(d + 0*d - 3*d) + d + d - d + 3*d + d - 3*d + 5*d + d + 0*d - 3 - 8*d + 3 + (-2 - 3 - 2)*(-d + 5*d - 3*d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10327 divided by 78\nAnswer: -10327\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -52. Suppose 3*p - 5 = i, -3*p = -12*i + j*i + 7. Solve -5*b = -4*b + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + 4. Suppose 3*s - 4 = 8. Find the common denominator of z(s) and -4\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -34*j**2 - 59*j + 440. Let c(d) = 17*d**2 + 29*d - 220. Let g(b) = -5*c(b) - 3*x(b). What are the prime factors of g(6)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -11*c**5\/15 + 6*c**2 - 35. Let r(u) = -3*u**2. Give j(r(m)).\nAnswer: -396*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from ddtittiyyyty.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.073673549 - 2\nAnswer: -2.073673549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73324839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1. Let o(k) = 14*k + 42. Let v(j) = o(j) - 42*s(j). Let f(n) = -2*n**2. Determine f(v(a)).\nAnswer: -392*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/6*942\/1727?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208617854 and 18790.\nAnswer: 3758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*h**4 - 78*h**4 + 13377 - 13377 - h**4 - 2*h**4 + 2*h**4 + (0*h**2 - 2*h**2 + h**2)*(0*h**2 + 0*h**2 + 2*h**2).\nAnswer: -61*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7017464.16 milliseconds?\nAnswer: 0.01160295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 times 1.397?\nAnswer: 261.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + -16 - (-30 + (-43 - -78))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 4*q**3\/3 + 5*q**2 + q. What is the derivative of o(j) wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -0*f, -4*v = 5*f + 175. Let z = -15 - v. What is the greatest common divisor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w - 3*w. Find the common denominator of w\/(-9) - 5083\/819 and 39\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 68, -1 in decreasing order.\nAnswer: 68, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29032, 58034, 87036, 116038, 145040, 174042?\nAnswer: 203044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -11\/14?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - (39 - 76)) + 13\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + 6 + (-2)\/60*4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5*t - 1, 2*y + 2*t - 2 = 4. Suppose 0*q - 2*n = q - y, 3*n + 19 = q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwgz when four letters picked without replacement from {g: 5, n: 5, v: 5, z: 3, w: 1}?\nAnswer: 25\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(36) - (sqrt(36) - (sqrt(36) + sqrt(108)\/sqrt(3) + sqrt(36)))).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13675323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*m = -m, -5*n - 4*m = -96. Suppose 4*j + 0*j + n = 0. Let f be (-16)\/(-15) - j\/(-10). What is the nearest to -1\/4 in 5, f, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3)*(2\/(-22) + (-2146)\/(-1221)). Solve -d - 19*k + 21*k + 8 = 0, 6 = -d - j*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 2*v + 1. Let c be o(0). Solve 2 + c = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:33 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from hhhvzchhczzca.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20644*h**2 + 547*h**2 - 62536*h**2.\nAnswer: -82633*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0 - 1\/3*s**3 - 3*s + s**2. Differentiate k(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55189, -3, 4.\nAnswer: -55189, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/(-30))\/7)\/((-10)\/(-25))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54580 + -28654511\/525. Let w = g + -109\/210. Calculate the common denominator of w and 47\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p + 44*p + 104 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 39?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**2 + 9 - 9 + (1 + 2 - 1)*(-2 + 8 + 55*b**2 - 46*b**2).\nAnswer: 12*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 3838868 and 4.\nAnswer: 3838872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8507*d**2*i**3 + 1287*d**2*i + 13*d**2 - 2*d*i + 15*d - 11*i**3 wrt i.\nAnswer: 51042*d**2*i - 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.02, -0.2, 4\/1679, -4\/3, -1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - x - 8 = 0, 0 = 5*w + 2*x - 6*x - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*d**2 + 105*d**2 - 6 + 14 - 6 - 12 - 431*d**2 + 233*d**2.\nAnswer: 5*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 6*d - 184. Let o be l(17). Solve 5*h - 4 = 6, o*h - 21 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 6:12 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001135541 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1774.9 - 1775. Put -12, -5, 19, q in descending order.\nAnswer: 19, q, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.09997265 + 24.1. What is v rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-35) - (-58)\/154. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6374 - 6374.3. What is the smallest value in y, -1\/3, -1, 0, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 4:46 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 501987755 or 501987758?\nAnswer: 501987758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/15, -3\/7, 1\/7, -7 in decreasing order.\nAnswer: 5, 1\/7, -2\/15, -3\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030332 - -100?\nAnswer: 1031032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2521 + -2389. Calculate the greatest common factor of d and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p + 29. Let h be c(6). Suppose -4 = 4*y - 0. Sort h, y, 3, 1.\nAnswer: y, 1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -20 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101\/560 - 3\/80. Suppose -4*x = -i + 1 - 5, 5*x = -5*i + 30. What is the closest to -0.1 in 0.2, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1701) + (sqrt(1701) + sqrt(1701)*-3 - sqrt(1701) - sqrt(1701)) - sqrt(1701))\/(-1*sqrt(3)*-2 - sqrt(3)).\nAnswer: 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**(-2))*x)*x*x**(3\/5)*x)\/(x**(3\/5)\/x**(1\/10)) assuming x is positive.\nAnswer: x**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 5*i + 28. Give s(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/10*(-4056)\/(-72). Let k = -82\/5 - w. What is the nearest to 0 in k, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.0928\nAnswer: 0.8352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147479560 by 36869890.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 703308 - -1.02\nAnswer: 703309.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*r + 4. Let m(f) = -2*f + 48 - 64 - 15*f. Let t be m(-1). What is the highest common divisor of t and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 8*n**4 + 22 + 4*n**4 + 46 - 16 + 2*n**3 as i*n**2 + c*n**4 + g*n + p*n**3 + d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -2b9a8?\nAnswer: -2b9a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(114) - -1*sqrt(114)*-1) + (sqrt(114) + (sqrt(114) - sqrt(114)*1 - sqrt(114)))*4)\/((-2*sqrt(192))\/sqrt(8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53614265 divided by 645955?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-2*3 + sqrt(88))\/(sqrt(8) + -2*(sqrt(40)\/sqrt(5) - sqrt(8))) - 2*(1*sqrt(891) + 1)**2)*3.\nAnswer: -5352 - 123*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 55 = -3*v - 2*v, 4*q = -v + 6. Suppose -10 = -10*h + v. Solve -38*w + h*w**4 + 4*w**3 + 2*w**4 - 11*w**3 - 28*w**2 - 12 + 9*w**3 = 0.\nAnswer: -2, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + r - 6. Let a be d(0). Let o be 9\/a*(-4)\/2. Let k = -13428.6 + 13429. Sort o, 4, k.\nAnswer: k, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-2 + -3) - (10 + -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*j + 2*y - 5, -y = 4*j + 4. Suppose -57*q = -59*q + 8. What is the lowest common multiple of q and j\/2 + 9\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbd when three letters picked without replacement from {m: 1, b: 5, c: 3, d: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 848, 1519, 1842, 1643, 748, -1017, -3826?\nAnswer: -7853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 657166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 22 = 13*u + 2*k, -3*k + 9 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - -5)*(-4)\/(-9)*6*(-72)\/96.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let l(q) = -4*q + 2. Let s(m) = -2*j(m) - 2*l(m). Suppose 5*u - 13 = 12. Let x(y) = -y + 1. Calculate u*x(p) + s(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))*-5 - -4*(1 + sqrt(19)) - ((sqrt(57)\/(sqrt(6)\/sqrt(2)))**2 + -2).\nAnswer: -18 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + j)*(31 - 4 + 47)*(2*j - j - 3*j) + 2*j**2 - j**2 + 0*j**2 + (1 - 1 - 2)*(-j - j**2 + j) - j**2 + 3*j**2 + 0*j**2.\nAnswer: -291*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6251 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15230 (b) -0.025 (c) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 17*u**2\/2 + 9. Let i(v) = -8*v. Let r(w) = 5*i(w) + 2*m(w). Let g(c) = -107 + 37 + 40 - 4*c + 30. Determine 6*g(t) - 5*r(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2471*n + 17305. Determine m(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13138723261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19457?\nAnswer: 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 102e31 (base 16) to base 7\nAnswer: 12004356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 15. Let g(w) = -16 + 48 - 13 - 3*w + 2*w - 11. What is -5*g(i) - 3*r(i)?\nAnswer: -i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 times -78?\nAnswer: -3.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767325 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/20*(-30)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 13, 3, -18, -87.\nAnswer: -87, -18, 1, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 1558?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16\/49 - 306\/637. Which is the biggest value? (a) 5 (b) 4\/3 (c) p (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/5 - 526059*m\/5.\nAnswer: -3*m*(m + 175353)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/99)\/((-168)\/252).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1*l)**(2\/93)\/(l**(-9\/4)*l\/l**(-13\/2)))**(-3\/29) assuming l is positive.\nAnswer: l**(1929\/3596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*x + 35*x**3 + 117*x)*(-12 + 3 - 4).\nAnswer: -455*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2027 - -2032. Solve 3 = 4*w - l, -i*w + 6*l - 12 = 10*l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -551*x**4 - 2*x**3 + 2*x - 317. Let b(d) = -1101*d**4 - 5*d**3 + 5*d - 630. Let a(g) = 2*b(g) - 5*o(g). Find the first derivative of a(i) wrt i.\nAnswer: 2212*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-20) + ((-171)\/(-12) - 6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**7\/2520 + m**5\/6 - 7*m**2. Let u(i) be the third derivative of g(i). Let a(t) = -8*t**2. Give u(a(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 290645689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 704*j + 41919. Give i(-65).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3931 - -7866. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5465*a**3*u**2 - 2*a**3*u - 17*a**2*u**2 - 34*u**2 wrt a.\nAnswer: -32790*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-283)\/38 + (-755)\/14345).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28389.9864 to the nearest ten.\nAnswer: 28390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**5 + 65*f**4 - 60*f**3.\nAnswer: -5*f**3*(f - 12)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 12:16 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5.2, -2161.\nAnswer: -2161, -5.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*a - 242 + 582 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7287, -14491, -21709, -28941, -36187, -43447?\n\"Answer: -7*h**2 - 7183*h - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -5, -4, -2167\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29353*o + 1 + 29000*o - 57760*o)*(-1 + 4 - 4).\nAnswer: -593*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 5 (b) 3 (c) 11\/7 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -32110 and -32110 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t - t. Suppose k - 6800015 = -5*u, t*k = -k + 3*u + 33999991. Round k to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 31*c - 7 + 28*c + 30*c - 88*c. Let j be 4 + 3\/(-3) + 2. Suppose 2*i = -j*f + 3*i, -2*i = 3*f. Give y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/17 (b) 1\/8 (c) 0.2 (d) 0.1 (e) -2.9 (f) 0.4 (g) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 14*k + 44. Let d(p) = -13*p - 47. Let a(q) = -6*d(q) - 5*v(q). Give a(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 550*j - 174. Let u be q(5). Calculate the highest common factor of u and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5841889*d**5\/3 + 81728438*d**4\/3 + 181369215*d**3 - 734279094*d**2 - 7304544*d - 18144 = 0 for d.\nAnswer: -7, -12\/2417, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 3912 - 4349 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 33 (c) -0.3 (d) -4.2 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-12))\/(1\/4). Let h(j) be the first derivative of -1 - j + b*j**3 + 1\/2*j**2 - 1\/4*j**4. What is o in h(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.1 + -6.4. Let g = k + 6.7. Let u = g + 5.7999977. What is u rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 710*k + 426. Does 8 divide w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**3 + h**2 - 3*h + 3. Let f be z(1). Let d be (3 + (-32)\/12)*f. Suppose c - i = 1 + 2, -2*c - d*i = -6. Solve c*l = -6 - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 20*v**2. Let c(m) = -2*m**2 + 11*m**2 - 7*m**2. Give c(r(n)).\nAnswer: 800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(13) + 0 + sqrt(1573))*2 + 4).\nAnswer: -360*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958682351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144\/913 - 2\/83. Let h = 28837\/7 - 4111. Let o = h + -58\/7. Which is the nearest to o? (a) -1\/2 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45698720 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 8153684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 161*x**3 - 1157*x**2 + 1176*x - 180 = 0. Calculate x.\nAnswer: 30\/161, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -32. Let h(d) = 4*d**2 + 3*d + 1. Is h(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-247)*2457\/(-54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26772\/7 - 3824. Sort 0.05, -1\/4, i, -0.05 in descending order.\nAnswer: i, 0.05, -0.05, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -5 (c) 0.4 (d) -0.5 (e) -4 (f) -2 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*g + 575*g + 4*k = -8, -5*g - 12 = 4*k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1131 divide 5771493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (793*s**2 - 44*s**2 + 354*s**2)*(2*s + 0*s - 6*s).\nAnswer: -4412*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2031300?\nAnswer: -2031233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -31 - (-10 + 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 74\/(-407) + 167\/11. Solve -3*w + n = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*((3 + sqrt(1584))*-3 + (sqrt(1584)*-1*6 - sqrt(1584)) + 3)**2.\nAnswer: -4753080 - 43200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7606111*g**3 - 2*g - 1392259 wrt g?\nAnswer: 45636666*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 - -85 - (1 + (1 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1281 - 8993488127.\nAnswer: -8993486846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19691 by -29.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 2 + sqrt(35)\/(sqrt(125) - 3*sqrt(125)))**2 + 3.\nAnswer: 198*sqrt(7)\/5 + 69307\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156234693673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8395.\nAnswer: 5, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*k - 4*k. Which is the smallest value? (a) -3\/7 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + -0.3. Let r = 0.46 + -0.06. Let m = r - 0.1. What is the nearest to -0.1 in 0.4, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 28\/5 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 8*f**3\/3 - 4*f**2 - 10*f + 14. Suppose 5*p - 33 = 16*p. Let z be s(p). Is 86 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-0.05.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*g, 0 = 4*m - 0*m + g - 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**8\/504 - 11*j**7\/315 - 53*j**6\/180 + 43*j**5\/10 + 60*j**4 + 300*j**3 - j**2 + 705. Suppose l(w) = 0. What is w?\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t - 3*t, -5*t + 4584 = 4*b. List the prime factors of b.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*m + 5 = -264*m - 5*n, 3 = 5*m - 4*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2074, -2083, -2104, -2143, -2206?\n\"Answer: -r**3 - 2*r - 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 9) to base 14\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -26. Let w(a) = -a**2 + 7*a + 2. Let f be w(q). Let x(b) = -f*b - b**2 + 6*b - 3 - 3. Calculate x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o - 26*o - 67*o**3 + 2 + 66*o**3 + 2*o**4 as k + d*o**2 + t*o**4 + a*o + j*o**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t**5\/13 - 818260*t**4\/13 + 981818*t**3\/13 + 360032*t**2\/13 - 392728*t\/13 - 130912\/13 = 0. Calculate t.\nAnswer: -2\/5, 1, 16364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + 1 + -2*sqrt(1216) + -1*(sqrt(1216) + -2*sqrt(1216) + sqrt(1216))**2 + -3*(sqrt(1216) + -3)**2*-3).\nAnswer: -2688*sqrt(19) + 66156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 2*c + 1. Let z be (0 + 15\/(-4))*32\/(-20). Let v = 10 - 21. Let b(t) = 3 + 3*t - 2*t**2 - 1 + t. What is v*x(g) + z*b(g)?\nAnswer: -g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2398*o**2 - 1192*o**2 - 1197*o**2 - 2*o - 1160.\nAnswer: 9*o**2 - 2*o - 1160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 148*c**2 - c. Is g(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20063 + -0.2.\nAnswer: -20063.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 26 = -2*c. Let s = 26 - c. Which is bigger: 5\/26 or s?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9160644 by 6198.\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w**3 - 28*w**3 + 4482 - 20*w**3.\nAnswer: -4*w**3 + 4482","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.02964, -2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(125) - -2*sqrt(125)*6)*5)**2 - (3 + sqrt(720) - ((sqrt(320) - sqrt(320)*-1) + sqrt(5))**2)).\nAnswer: -12*sqrt(5) + 529567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/27 (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13141800 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49.19 * -49\nAnswer: -2410.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74\/3 - 24. Let k = 5 - 8. Let m = -0.5414 + 0.0414. Put y, m, k in descending order.\nAnswer: y, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2. Let b(g) = 961*g - 961*g + 11*g**2. Calculate b(k(s)).\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**3))\/f*f)\/f**(1\/10))**(-38)\/((f\/(f*f\/f**1))**(-2\/51)\/(f\/f**(-3\/2)*f*f**(-7)*f)) assuming f is positive.\nAnswer: f**(-1127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 5, o: 1, t: 1, q: 1}. What is prob of picking 1 w and 1 q?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4826 - 19305\/4. What is the third biggest value in -0.03, 2\/13, s, 1.26?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-12) - (-16)\/(-3). Let b be 127 - -4 - -2 - h. Suppose 5*p - 100 = 3*j, 38 - b = -5*p - 4*j. Solve -2*c - 2*c = -p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + m + 31, -3*r = 4*m - 4658 + 4702 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -22*i + 748. Let c be k(30). Suppose 2*u - b = -142, -2*b = 4*u + 199 + 101. Let y = c - u. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/7 - 148728*r**3\/7 + 8184634*r**2\/7 - 15479376*r - 16669856 = 0 for r.\nAnswer: -74419, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 0*k)*(-2*k + 0 + 0)*(2 - 1 + 3).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in -5, -57\/2, -2\/15, -2\/3, 11\/2, -13?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxb when three letters picked without replacement from {x: 7, l: 4, b: 1, p: 6}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {r: 6, w: 12}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 18. Find the third derivative of -a**2 - 23*a**4 - a**x + 4*a**4 + 12*a**4 wrt a.\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*p - 2*p - 304 = 0. Suppose 18 = 2*y + 4*m, -y = -2*y + m. Suppose 1361 = -y*g + p*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 569 (b) -3\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h - 91. Let m be l(25). Solve -m*u + 20 = -7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14389284*f**2 - 12941840.\nAnswer: 28778568*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 478459.7 millennia in years?\nAnswer: 478459700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10054)\/(-2742)*(-6)\/(-4)*4\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 201463840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -500e + -6?\nAnswer: -5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u**2 + 63*u**2 - 31*u**2 + 91*u**2 to h + c*u**2 + d*u and give c.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 80 (b) 1\/10 (c) 1\/4 (d) -41 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 + 94*w + 146. Let m(t) = -t**2 + 19*t + 29. Let a be 4\/(-3)*-21*-1. Let i(s) = a*m(s) + 6*p(s). Determine k so that i(k) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 50543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -64*f + 1352. Give v(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 3\/7, -5, -0.5, -4\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5825)\/(-2330)*4\/(-22)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -24. Suppose 6*h - 3*h = 5*d, h + 5*d = 20. Let k = h + 0. Solve -k*i + f*z = 20, i - 3*i + z - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 9. Let a be y(9). Suppose -g = 2*q + 29400003, a = 3*q + g + g + 44100006. Round q to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/547 + 1649\/2188. Let v = 132236\/198345 + -2\/66115. Put i, -1, -0.5, v in decreasing order.\nAnswer: i, v, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 142*l**2 + 24*l + 6861. Let y(j) = -69*j**2 - 14*j - 3431. Let i(b) = 3*g(b) + 5*y(b). Differentiate i(w) with respect to w.\nAnswer: 162*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, 5, 12.81, -4\/7, -4, -5?\nAnswer: 12.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 58758.5 kilometers?\nAnswer: 58758500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173 by -4513.\nAnswer: 173\/4513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 + 31881*u**2 - 5976165*u + 282581775 = 0. Calculate u.\nAnswer: 95, 10437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*m + 402*m + 880 = 0 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -92*j - 577. Let n(z) = 3*z. Calculate the remainder when k(-7) is divided by n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*y = -f - 58, 0*y + 23*f = -4*y + 2*y - 74 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 6. Suppose 3*l - 42 = 3*s, -1 = -c*s + 9. What is the highest common divisor of 40 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -10*f - 64, -466873*f + 5*t - 90 = -466869*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 + 9961*j + 59757\/2.\nAnswer: (j + 3)*(j + 19919)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 126*c + 1029.\nAnswer: -3*(c - 7)*(c + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*1*(sqrt(11) - (sqrt(11) + sqrt(55)\/(2*sqrt(5)) + sqrt(11) - sqrt(11)))**2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -5 (c) -198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(363) + -1))**2 + sqrt(363) + ((sqrt(363) + sqrt(363)*1)*3)**2.\nAnswer: -77*sqrt(3) + 14524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2. Suppose -6*b + 76 = -248. Suppose o + 2*o - b = 0. Let f(g) = 9*g + 33*g**2 - 16*g**2 - o*g**2. Calculate w(f(m)).\nAnswer: -2*m**4 + 36*m**3 - 162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33212.481 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 1\/4, 3, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331671.\nAnswer: 3, 110557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7741, -7742, -7743, -7744, -7745?\n\"Answer: -v - 7740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**2 - s - 1. Let d be n(-1). Suppose -2*w = -d - 0. Solve -8 - 4 = w*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**(-5)\/((p\/(p*p**(-1\/3))*p)\/p)**(2\/41))**(-6) assuming p is positive.\nAnswer: p**(2488\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.9 - -17. Let k = -14.4 - -18.4. What is the second biggest value in -2\/57, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 125, 248, 537, 1064, 1901, 3120, 4793?\n\"Answer: 12*l**3 + 11*l**2 + 6*l + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b3030 + -7?\nAnswer: b3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 + 48*h + 60. Let l be y(7). Put -7, 23, l in ascending order.\nAnswer: -7, l, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 841 + -789. Which is greater: 1.7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 123\/15 - 1\/5. Let c be (h\/(-10))\/(3\/(-15)). Solve c*p = 2*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {y: 7, c: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(114) + (2*sqrt(114) - sqrt(114))) + sqrt(114))\/sqrt(6).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v - 43*v + 15984 = 319*v + 121*v for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2565472550 to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12414*g + 8155 wrt g.\nAnswer: 12414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from hllhllllhlllhhllhl?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20954519 - 2454.5.\nAnswer: -20956973.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q + 8*q - 18 - 11*q**2 + 0 + 10*q**2. Let o be a(13). Suppose k - 10 = -l + 11, 4*k = -5*l + 89. What is the highest common divisor of k and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 - 1230065*u - 1513059904225\/2.\nAnswer: -(u + 1230065)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/60 and -145\/54264.\nAnswer: 271320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2))**(6\/13)\/(h\/(h\/(h\/h**10))*h*h\/((h**(-16)*h)\/h)) assuming h is positive.\nAnswer: h**(-120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152604 = 14*k - 152254 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l - 4. Let k = 939 + -1447. Let h = k + 509. Give j(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -438 in 3, 72, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m. Let i(y) = -44*y**2 + 25. Determine s(i(d)).\nAnswer: -308*d**2 + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xly. Give prob of sequence ly.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -117, 3, 8, -20.\nAnswer: -124, -117, -20, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/7 + 1733754*j**2 + 12274079368515*j\/7 - 49096511654700\/7.\nAnswer: 3*(j - 4)*(j + 2022715)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f + 128 = -29*f + 58*f. Let q(y) = 8*y**3 + 2. What is q(f)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4815480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10258438427468 plus 0.3?\nAnswer: 10258438427468.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -42.8754.\nAnswer: 42.8754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44704.68mm to centimeters.\nAnswer: 4470.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3360362 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 997822897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 13*j - 366. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 15. Let u(z) = -6*z**3 + 10*z**2 + 2*z - 8. Let y(m) = m**3 - m**2 + 1. Determine g*y(v) - u(v).\nAnswer: -2*v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2913248, 2913246, 2913244?\n\"Answer: -2*a + 2913250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-112)\/(-6) + (-4)\/(-12). Let c = h - 15. Solve -21 = c*b + f + 2, -b = 2*f + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y, -5*y = -x - 2*y + 4. Suppose -t + 4 = 0, -3*c + 6*t - 11 = 4*t. Let z = x - c. Solve -5*o + 0*a + 8 = -2*a, -2*a - z = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127187372 + 6006*j**2 - 127187372.\nAnswer: 6006*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 - -0.02. Let w = 22.36 + -24.36. Let x(d) = -d + 2. Let r be x(0). Which is the nearest to w? (a) r (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17887297*t**5 - 2*t + 2167067 wrt t.\nAnswer: 357745940*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - -109. What is the highest common divisor of 54 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447003?\nAnswer: 1447003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-3))\/((-2)\/(-33)). Suppose -3*g - v = -40, 3*g + c = 6*g - 2*v. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1006095 (base 12) to base 16.\nAnswer: -2db8f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49081?\nAnswer: 49081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a**2 + 63. Let g(n) be the second derivative of n**3\/6 - 3*n**2\/2 + 3*n. Let h be g(3). Does 30 divide t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885440 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 4*i + 4*i + (0*i + 4*i - 2*i)*(0*i - 4*i + i) to a*i + b*i**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by 5\nAnswer: 87\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {l: 3, u: 2, f: 1, b: 1, m: 5, i: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) - (-10)\/(-4)*(-4)\/20. Is o at least 58\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 - 2*o - 2. Let z be i(-1). Let x be z\/45 - (-1234)\/(-30). Let r = 67 + x. What is the remainder when 50 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/5796 and -209\/61717740.\nAnswer: 185153220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162560*m**3*v**2 + 92*m**3 + 88749718*v**2 with respect to m.\nAnswer: -487680*m**2*v**2 + 276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f**(-2)\/f)\/f)*f*f))**(-2\/47))**(-1\/12) assuming f is positive.\nAnswer: f**(-1\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 114*i**3 - i**2 + i - 1. Suppose -2*t = 4 - 6. Is h(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8423490 to the nearest 100000.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 9*a - 10. Let n be r(-7). Suppose -q - 91 - 87 = -5*t, 5*t - 6*q - 168 = 0. What is the greatest common divisor of t and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(((-4)\/(-2))\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 15 = 0, -45 + 75 = -5*n - 3*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 3 - 3)*(-2*i + i + 22 + 5).\nAnswer: -i**4 + 27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -4*u**3 - u**2 + 4*u - 317. Let m(b) = 11*b**2 + 2*b - 3. Calculate -5*m(d) - 4*y(d).\nAnswer: -7*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/84 - 39\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 4*f**2 - 36*f - 210. Let l be a(-8). Calculate the highest common divisor of l and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s**2 + 9*s**2 - 3*s**2 - 2. Let r be c(-2). What is the units digit of 7*46*(-3)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15681052 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-4)\/(4 + 0). Let g(t) be the second derivative of -t**3\/6 - 2*t**2 + t. What are the prime factors of g(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 33 = 4*r, -3*p = -r - 5*p - 8. What is the remainder when 59 is divided by (-2 - -12)\/(1\/r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434101 (base 7) in base 10?\nAnswer: 75853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.4. Let y = -41.4 + 63.1. Let x = -22 + y. Which is the closest to -1? (a) u (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/84 - 4\/21. What is the closest to 0.1 in -1, -1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 5*a**3 + 3*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/102 and 43\/18054?\nAnswer: 18054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -228996158292 minus 0.645?\nAnswer: -228996158292.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867586?\nAnswer: 2, 587, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/8 - 499\/200. Let p = z - 13\/100. What is the third smallest value in 3, p, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(175) - (sqrt(77) + (sqrt(77)*-2 - sqrt(77)))\/sqrt(11)) + -5 + 5 + (sqrt(7) - (-4 + sqrt(7) + sqrt(7) + -1)))**2.\nAnswer: -240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e36 (base 15) to base 7.\nAnswer: 25113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from clgggglsclscgcggglg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/4)\/(189\/(-756)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 + -9 + -6)\/((-12)\/4). Solve -l - 5 + 2 = 0, 4*t - 4*l - 28 = i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13084, -13078, -13068, -13054, -13036, -13014, -12988?\nAnswer: -12958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {p: 3, a: 6, k: 1, w: 5, j: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 7:01 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7070 and 3080?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h - 2*h**2)*(-83 + 13 - 69) + h**2 - 6*h**2 + 24*h**2.\nAnswer: 297*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.67378 rounded to 2 dps?\nAnswer: 19.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 44928.56 kilograms?\nAnswer: 44.92856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*t**2 + 314220*t**3 + 20*t - 314217*t**3 - 2*t**2 in the form q*t**3 + w*t**2 + d*t + u and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**0*x*x))**(-2\/53) assuming x is positive.\nAnswer: x**(4\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2424684*i*s**4 + i + 6387735 wrt s?\nAnswer: -9698736*i*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*l*w**3 + 13*l*w - 69*l - 1117779*w**3 + 2 wrt l.\nAnswer: -34*w**3 + 13*w - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -132794 and -61199469?\nAnswer: 61066675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 207 - ((183 - 115) + 19)\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-564*m - 818*m + 3991*m)*(-m + m - 2*m + 1).\nAnswer: -5218*m**2 + 2609*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 533, 799, 1065?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-15)*(-1 + -6 + 154\/7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3225 = -57*l + 78798. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 2. Let j be 4\/(-14) + r\/84. Let b = -0.41 + -2.59. What is the nearest to 1 in b, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t**3 - 8*t**3 + 71*t - 193*t**3.\nAnswer: -186*t**3 + 71*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 780, 891, 1002, 1113, 1224?\n\"Answer: 111*j + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*x**3 - 1 + 347*x**2 + 9668*x**3 - 1301*x**3 - 347*x**2 + 2.\nAnswer: 8581*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13820\/(-140) - (-6)\/(-21))*8\/(-24)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -34. Find the common denominator of 1*(-126)\/4*(-27)\/(-324) and 12\/w + (-34)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from mzymyprzappmz.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 4*x**3\/3 - 12*x**2. Let y(s) = -7. Let d(u) = 6*c(u) + 7*y(u). Let v(o) = -o + 4. Give 6*d(t) + v(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 - 10*t**2 - 7*t - 10. Let s = -26 + 31. Let o(j) = -j**3 - 5*j**2 - 4*j - 5. Let r(b) = s*o(b) - 2*f(b). Determine r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.042 and -1.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46, -59, -90, -145, -230, -351, -514, -725?\n\"Answer: -g**3 - 3*g**2 + 3*g - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2 - 13 + 0*d + 8 - d. Calculate i(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17000 and 853000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avav when four letters picked without replacement from {v: 11, a: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211386 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5693*k + 37. Is b(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 245*g**5 - 14070*g**4 + 101905*g**3 - 34340*g**2 - 45900*g - 7840 = 0.\nAnswer: -2\/7, 1, 8, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.684 + -0.116. Round u to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 51 - 40 - 3 - -76.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 24*s - 18*s = 11*s + 12 - 3 - 1, 0 = -4*d - 2*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1500133 and 216253.\nAnswer: -1283880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.2 (c) 4\/11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:14 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 10, 18\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2200*h - 58991 - 14771 = 2066 + 16572 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 2*y + 11. What is j(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/42)\/(154*(-127)\/(-39116)).\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*l - 56*l = -925. Let p = -8.06 - -0.06. Put p, -2\/3, l in decreasing order.\nAnswer: l, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 8*j**2 + 973 - 481 - 494.\nAnswer: -5*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-33))\/(2\/12). Let m(r) = 9 + 4*r - 2*r + 6 - r. Let w be m(-13). Solve w*z = -5*u, j*z = 3*u - 0*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9087 or 9090?\nAnswer: 9087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 1 - 1)*(-2*w**2 - 2*w**2 + 6*w**2) + 29*w**3 - 5816*w**2 + 5816*w**2.\nAnswer: 31*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 10:29 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - u + 630 = 621, -3*u = 9 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -66500?\nAnswer: 3\/33250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69272 - 37968. Does 24 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y\/(y**(-1)\/y)))))**(-31))**(-2\/61)\/((y\/(y**(-2\/3)\/y))\/y*y\/(y**(2\/15)*y)*(y\/(y*y\/y**3))\/((y\/y**1)\/y)) assuming y is positive.\nAnswer: y**(-6008\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**5\/20 + d**4\/4 - 2*d**3\/3 + d**2 - 43*d. Let l(x) = -x**2 - 10*x - 10. Let o be l(-8). Let p = o + -3. Give y(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8583\/118 >= -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5 + 15477*w**4 - 4*w**3 + 593756*w**2 wrt w.\nAnswer: 120*w**2 + 371448*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4717958?\nAnswer: 2, 7, 336997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1411 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r**2 - r - 20. Is 70 a factor of z(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996040.2 micrograms to nanograms.\nAnswer: 996040200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaauaaaaaaauauaaua. What is prob of picking 1 a and 1 u?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3082*b*q**3 + 5*b*q**2 + 3*b + 77*q**2 wrt q?\nAnswer: 18492*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 72, 47 in ascending order.\nAnswer: 14, 47, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1831515?\nAnswer: 3, 5, 7, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/100)\/(4\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120110302 (base 4) in base 6?\nAnswer: 2045134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03194526 rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2978 to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 5*x**2 - 9*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50676558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsat when four letters picked without replacement from {a: 1, s: 1, t: 2, f: 2, d: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 5:11 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 2*t - 49*t**2 - 19*t**2.\nAnswer: -65*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*o = 23, -2*o = -2*r - 2 - 4. Let d(x) = x**2 + 3*x - 1. Does 8 divide d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, q: 2, g: 3}. Give prob of picking 1 q and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26782 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18901433 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6*u - 3*u = 24, -4*k = -u + 15. Let m = -4 - k. Let b be (8\/(-3))\/(4\/(-6)). Sort m, b, -3 in descending order.\nAnswer: b, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14381224951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/60 - q**4\/3 + q**3 - 2*q**2. Determine s(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -23*g + 11819. Give l(514).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2057*f - 2048*f = 99630. List the prime factors of f.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*g + 12. Let w(k) = 9*k**2 + g + 9 + 5 - 22. Let q(v) = -26*v**2 + 11. Let b(s) = -4*q(s) - 11*w(s). Factor b(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.334 + -1.034. Which is the closest to 0.4? (a) -146 (b) -1\/5 (c) 0.4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 226. Calculate m(35).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.63? (a) 0.021 (b) 1 (c) 2 (d) 3\/5 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -563 - -565. What is the derivative of -32 - 6 + 12*w**4 + 5*w**2 - 7*w**4 + 8*w**2 + 2*w**n wrt w?\nAnswer: 20*w**3 + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -207, -312, -419, -528?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1601434 + -1.37.\nAnswer: -1601435.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*b - q - 15, -5*b - 4*q = -8. Suppose -182 = -2*o + b*s, 47 - 31 = -4*s. Calculate the highest common divisor of 415 and o.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*l**2*m + 2*l**2 + 2*l*m + 4*l - 2967*m wrt l.\nAnswer: 152*l*m + 4*l + 2*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12070 + -366?\nAnswer: -123d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02255*-562.\nAnswer: -12.6731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -56121387940 to the nearest one million.\nAnswer: -56121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-415)\/(-30) + (-1)\/(-24)*4. Suppose -394 = -17*k + q*k - 4*u, -12 = -3*u. What is the remainder when 494 is divided by k?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 8 - 2 = 0. Let x be (1\/3)\/(c\/(-48)). Is 6\/4*2 + x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-3*sqrt(847) - sqrt(847))*1)**2.\nAnswer: 166012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 - 3*n + 3. Let c be d(-3). Suppose -612 = -5*r + r. What is the common denominator of -97\/8 and (-20)\/c*r\/(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-18)*9*(-4)\/(-54).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 2, o: 1}. Give prob of picking 1 o and 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/60 + f**4\/24 + 5*f**3\/6 + 3*f**2. Let m be g(0). What is the highest common divisor of 25 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 269, 1274, 3219, 6290, 10673?\n\"Answer: 31*d**3 + 284*d**2 - 64*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 8*l - 3*l, -2*s = 4*l - 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3811979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 6211022?\nAnswer: 3105511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/16 + (-99)\/(-88) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 3*f**2 - 3*f**2 + (-2*f**3 - 1 + 1)*(3*f - 3*f + 2*f**2) + 6*f**4 - f**5 + 3*f**5 - 4*f**4.\nAnswer: -4*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15788.\nAnswer: 2, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -472 + 476. Let x = -81 + 77. Which is the nearest to -1\/4? (a) x (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16\/80 - 2958\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*x + 229 - 114 + 15*x - 116 to g + q*x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 - 6*h - 3. Let m(j) = -j**2 + 1 - 4766*j + 4766*j. Let o(z) = -3*k(z) + 6*m(z). Factor o(p).\nAnswer: 3*(p + 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-173)*744\/(-992). Which is the second smallest value? (a) -2 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 13\/3872324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0199571 nanograms in milligrams?\nAnswer: 0.0000000199571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1088) + -2 - (sqrt(1088) + sqrt(1088)*1 + -1) - 5*sqrt(1088)*-4*2)**2.\nAnswer: -3744*sqrt(17) + 1654884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5144 + 46351\/9. What is the common denominator of (-658)\/(-244) - ((0 - 2) + 4) and k?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-735)\/55755*-59)\/(26\/18).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-3)\/10*25\/(-10))\/(1\/9888)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47109886069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**4*z**3 - 14683*i**4*z**2 - 191*i**2*z + 8*i*z**3 + 8*i*z**2 - z**3 wrt i?\nAnswer: 72*i*z**3 - 352392*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 29 - 34 = 0. Let p be 35\/s*(-5 + -1). Is 14 a factor of ((-56)\/p)\/(1\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31029045 at least as big as 2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*((-15358)\/196 - -5). Which is bigger: m or 146?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 7)\/2 - (1 + 5). Let b = 1364\/9 - 152. What is the smallest value in 0.2, b, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -99726730\nAnswer: -99726730.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25159808*q**2 - 2*q - 131841541 with respect to q.\nAnswer: 50319616*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2871 and 343737?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = c - 78, 2*c - 3*h = -2*c + 346. Let x = c - 266\/3. Let t = 70 + -351\/5. What is the third smallest value in 2, x, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:58 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.3 in 3\/8, -15, -9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**6\/180 + a**3\/3 - 1. Let q(v) be the third derivative of h(v). What is q(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 86*t - 242*t + 24 + t**2 + 78*t + 103*t = 0?\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/686920 and -2\/6605.\nAnswer: 686920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 355012 and 1054.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53531 + -5202?\nAnswer: 45326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3273 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002535022 to five dps.\nAnswer: -0.00254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.790158g to milligrams.\nAnswer: 3790.158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/822 and 1\/35?\nAnswer: 28770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-32\/7)*c*c)**(-7)\/(c*c**(-2\/21)*c*c**(-2\/5)) assuming c is positive.\nAnswer: c**(1732\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4625)\/(-75)*(96\/30 - 2)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-52)\/(-156))\/(1\/696) is divided by 228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -31. Suppose 2*s + 35 = z*s. Let o(q) = -q**2 + 4*q + 9. Calculate o(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/11 and -13\/68210?\nAnswer: 750310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**2 - 8*b**2 + 5*b**2)*(-8*b + 15*b + 10*b).\nAnswer: -187*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 11. Let k be t(-6). Let m(z) = -6 - 2 - 8*z + k. Is m(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 6*i + 2*i)*(-5 - 3*i + 5 + (7 + 1 + 0)*(-2*i + 6*i + 3*i)) to the form u + z*i**2 + d*i and give z.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/6 + (-1)\/3. Differentiate 4*j**k + 3 + 1 - 3 wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364749 is divided by 2164?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1866160*n**2*r**2 - 802540*r**2 + 17*r wrt n?\nAnswer: -3732320*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h. Let s be f(-1). Let x = 105 - 110. Let p(v) = -3*v + 1. Let c be p(-3). Put c, x, s in decreasing order.\nAnswer: c, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -148 + (52 - -62) + 48?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1 + -3)\/(-1))\/1. Suppose 2*s - 30 = -4*k, k + y*s = 4*k - 6. Let w(c) = -c**2 + 9*c + 8. Let a be w(9). Solve -2*j = -k*j - a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 + 45*t**2 + 31)*(31 + 151 - 288)*(-3*t + 5*t - 4*t) as q + n*t**2 + j*t + b*t**3 and give b.\nAnswer: 9540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2740 + 5609 + 4650)*(0 - 7*j + 5 + 8*j + j**2).\nAnswer: 7519*j**2 + 7519*j + 37595","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 397 = 263. List the prime factors of v.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7156 + -2586. What is the highest common factor of g and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -38*u - 26. Let b be t(-6). Let p = b + -120. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -330.34?\nAnswer: 10570.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4, -6*v + 2*v - 2*d = -2. Suppose -5*l = -v*l + 45. Let g(b) = -3*b - 9. Let y be g(l). What is the highest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 14. Suppose 5*y + 2*j = 22, -4*y + 4*j + 14 = -26. Suppose -y*f - 44 = -f - 2*q, 41 = -5*f + 3*q. What is l(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/600534 and -89\/12.\nAnswer: 1201068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -19*v. Let m be (-4)\/(-8)*2 + 1. Let a(t) = -m + 4 - 2 + 2*t. Determine a(d(o)).\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 770919 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjj when three letters picked without replacement from fejefeeeeefj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) + -4*(-1 + sqrt(171) + sqrt(171)) + sqrt(171)))**2*-5 + ((sqrt(76) - sqrt(76)*2)*4)\/(sqrt(16)*-1) + 1.\nAnswer: -1110959 + 25922*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-5)*10\/(-4). Let t(w) = w**3 - 4*w**2 + 2*w - 5. Let c be t(4). Calculate the remainder when 25 is divided by ((-2)\/c)\/(j\/(-39)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 12000. Let q(o) be the first derivative of -o**3\/3 + 4*o**2 - 2. Let j be q(8). Let c be w(j). Round c to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 938, 970, 1004, 1040, 1078, 1118?\n\"Answer: n**2 + 29*n + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/14 and 73\/10994950?\nAnswer: 76964650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 - 34372.13062?\nAnswer: -34372.15962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 = p, -j = -5*p + 8 - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*p + 2*h - 10, 2*p + h - 8 = 0. Solve 5*q = 15, -q + 2*q = p*k + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1111013, 4443976, 9998903, 17775800, 27774673, 39995528?\n\"Answer: m**3 + 1110976*m**2 + 28*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05469 and -880556399.\nAnswer: -880556399.05469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1469, 4, -0.99 in ascending order.\nAnswer: -1469, -0.99, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/16)\/(350\/(-40))*-1.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -136*q - 53\/6*q**4 - 44\/3*q**3 + 0*q**2 + 0. What is the second derivative of o(l) wrt l?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2940 and 17\/30086.\nAnswer: 902580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-3)\/(-1) - (-20)\/(-6)). Put -16, 5, -5, m in descending order.\nAnswer: 5, m, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 + 12*u**4 - 26*u**3 + 24*u**2 - 8*u = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 289*t + 37*t - 617*t + 288*t + 13414 to the form g + b*t and give g.\nAnswer: 13414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48795 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 8:43 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-2))\/5)\/(1\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - -14.79. Let d = -15.1 + g. Let z = 2.3 - -0.7. Sort 4, z, d in descending order.\nAnswer: 4, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011 - -100?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 - 223 = -4*n. What is the nearest to 1\/2 in 0.5, -1, n, 4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10796?\nAnswer: 2, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 27 + 21. List the prime factors of 0 + m\/(4 + 0) - -95.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 - 129. Suppose -9*o + 24305 - 5423 = h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 2*h**2 - 4*h + 4. Let k = 11 - 8. Let m(g) = -g**3 + 9 - 3*g - 2 - 4 - g**2. Suppose -4*z - 20 = -4. What is k*v(w) + z*m(w)?\nAnswer: w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q + 15. What is f(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 147590000 rounded to the nearest 1000000?\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3072 + -3070. Let w be (2 - 52)*(-1)\/(-2). Let c = 47 + w. Calculate the highest common divisor of v and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + t**3 - 17*t**3 + 6*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 95*x + 231. Determine k(-8).\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11661501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -1202121?\nAnswer: -1202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 7*g - 14. Let x be h(-8). Let i(c) = 5*c**2 + c - 4. What are the prime factors of i(x)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmyzzzy. What is prob of picking 1 z and 1 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovoo when four letters picked without replacement from {v: 11, o: 5}.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 843 (base 9) to base 2\nAnswer: 1010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + 4.07. Which is the third biggest value? (a) v (b) 0.5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 + 7*h**2 + 4*h + 22. Is g(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*4*(sqrt(125) + sqrt(125) + sqrt(125)*-3) - (-4 + sqrt(125) + 0 + 1*(sqrt(125) + sqrt(125) + -1 + sqrt(125) + sqrt(125))))*5)**2.\nAnswer: -1250*sqrt(5) + 3750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56*(-57)\/(-9177)*(-2)\/(-8)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 118?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10662977 and 85303816?\nAnswer: 85303816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23653 times -1?\nAnswer: 23653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-3)*((-665)\/266 - (1 - 3))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-4)\/(-6)*(-93)\/(-217)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5424687 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 771008 and 1984?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 1 + 0 + 1)*(458*y**2 + 519 - 519) in the form n*y + q + a*y**2 and give a.\nAnswer: -4122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 26 - 7 + 1 + 4*b - 5 as k*b + t and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -0.88 (c) -238419\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.68387 months in years?\nAnswer: 3.3903225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 5. Let d be p(0). Is 6907\/d + (-14)\/35 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = 2263 - 2119 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73749.7 weeks in milliseconds?\nAnswer: 44603818560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffll when four letters picked without replacement from lfffflpfl?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39402465.\nAnswer: 3, 5, 1187, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 800\/(-240) + (-3)\/(-9). What is the biggest value in 1.5, 0.2, -8, 0, n?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7463, 14901, 22341, 29783, 37227, 44673?\nAnswer: 52121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*5\/15 + 5. Let f be (-1 - -4 - -1)*d. Solve -i = -4*b - f, b - 2*i + 0 + 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Suppose 0 = 4*m - 2*m. Let k(v) = -4 + m*v + v + 4. What is k(a(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.021 - 0.021. Let j = 1\/5 - 13\/15. Let d = 0 - -0.5. Which is the second biggest value? (a) j (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 24. Let g be b(14). What is the common denominator of g\/(-4)*(-7 - 2) and -49\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 plus 55612290237?\nAnswer: 55612290237.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-141*t**3 + 70*t + 31300338 - 31300338)*(t + 4*t - 3*t) to i*t + g*t**2 + j + d*t**4 + n*t**3 and give d.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 - 7*u + 4. Let o be d(6). Let z be 5\/((-25)\/o)*-1. Which is the nearest to z? (a) -0.5 (b) -4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjchbcbhgahchch. What is prob of sequence bg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-4)\/40).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -100. Let d = 0 + 10. Let r = -9.9 + d. Put q, -1\/6, r in ascending order.\nAnswer: -1\/6, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36864)\/(-896) + (-8)\/7 + 1. Solve -67 = -h*b + 179 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-2 + 1 + 3) + (-3 + 5 + 0)*(0 - 3 + 2))*((-4*r - 3*r + 6*r)*(0 + 6 - 4) + 4*r - 2*r - 3*r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/6)\/3)\/((44\/16)\/(-1)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3935648 divided by -135712\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -197, 32, 865, 1, 0.\nAnswer: -197, 0, 1, 32, 865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.05, -1.14, 10, 0.3, -2 in ascending order.\nAnswer: -5, -2, -1.14, -0.05, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*m - 4 = 138*m + 135*m, 2*m = 5*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4 - 2 + 2 + 2 + (-6 + 2 + 5)*(0 + 0 + 1) + 2 + 0 - 4)*(-1 - 3 + 5)*(l - 2*l + 0*l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 - 27172*f**4 - 325468*f**3 + 136964*f**2 + 9114944*f + 8679680 = 0.\nAnswer: -6781, -8, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 3, 1\/4, -738?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-2\/33)))**43\/(y**(7\/2))**(3\/2) assuming y is positive.\nAnswer: y**(-349\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9478980 by -75230.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 9*l + 9. Give f(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/2670 + 10901\/4005. Let u be (-10)\/(-8) - (-2)\/(-8). Calculate the common denominator of c and (111\/(-96))\/(u\/(-2)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/30*((-2340)\/15)\/(-52)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2889 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, 5, 28, 61?\n\"Answer: 5*t**2 - 2*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -401392000 to the nearest one million.\nAnswer: -401000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 5*y + 10 = -i, y - 5 = -3*i. Solve i*a + 1 = -a, 0 = -5*q - a + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0\/(-5))*1. Let v(u) be the first derivative of -4*u**2 + u + 1. What is v(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*v + 5*v. Suppose 8 + 4 = v*u. Suppose 2 = -b + u. Are b and -2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11617211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23828 and 195397?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {b: 1, p: 5, n: 2, x: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 6:17 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 14*g - 109. Calculate the greatest common factor of 162 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:42 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 3*l - 41*l**2 - 1999 + 1999.\nAnswer: -41*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 952 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186*l**2 + 1913*l - 89 + 87 - 2016*l wrt l?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(-21)\/(-2205)*7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204928199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1989, -1996, -2003?\nAnswer: -2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/((-20)\/(-18)))\/(27\/(-3060)). Suppose -96*j + i = -90*j. What is the remainder when j is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 15*q**2 - q + 18. Determine j(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7159 * -3.\nAnswer: -21477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991904?\nAnswer: 2, 139, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (155\/(-93))\/((-1)\/3). Solve -3*y + 2*y + 6 = r*b, b = y + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3404 and 50669?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 19, 48, 97, 172, 279, 424?\n\"Answer: n**3 + n**2 + 5*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 25*z = -96. Suppose g + 5*g - z = 0. Let s(u) = -u**3 - 5*u**2 + u + 5. Calculate the lowest common multiple of s(-6) and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490\/(-343) - 198\/(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -16132729, -5 in ascending order.\nAnswer: -16132729, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2529358 or -2529360?\nAnswer: -2529360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-48)*(-8)\/36?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3 (c) 4\/9 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(132) + sqrt(132) - ((sqrt(132)*2 - sqrt(132))*-1 - sqrt(132) - sqrt(132)))\/(-2*sqrt(432)*6*6).\nAnswer: 7*sqrt(11)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -873821 (base 12) to base 8.\nAnswer: -10127731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181911 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/20 + 11*l**4\/12 - 5*l**3\/3 + 6*l**2 + l. Let x be o(10). Suppose 2*u - x - 10 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128 (base 16) to base 2.\nAnswer: 100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 3\/25*l**5 + 1\/105*l**7 + 0*l**2 + 1\/15*l**3 - 9*l - 2\/15*l**4 + 0 - 4\/75*l**6. Suppose d(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1 - -1 - -4) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 5. Suppose 18 = -4*a + 2. Let o be n(a). Is 76\/7 - o\/(-63) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h - 1. Let d(u) = 5 + 128*u**3 - 58*u**3 - 6 - u - u - 67*u**3. Let r(i) = -i**2 - 4*i + 4. Let g be r(-5). Give g*d(v) + x(v).\nAnswer: -4*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10224, -10232, -10250, -10284, -10340, -10424?\n\"Answer: -a**3 + a**2 - 4*a - 10220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 612248287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/543 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 229439 and 21103?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + (14 - (4 - 8)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3580 rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/9 + 222\/27. Suppose -n*g + 0 = 8. Let y(x) = -3*x - 8. Let v(w) be the third derivative of w**3\/6 + 3*w**2. What is g*y(z) - 6*v(z)?\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-16)\/(-768))\/((-1)\/(-9))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*l - 5*c, 4*l - 9 = -69*c + 68*c. Solve -2*w - 10 = l*a - 4, 3*a + 7 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8 (b) -141\/2 (c) -1\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) -1328 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 96718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4119551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 4*t. Let q be x(-3). Suppose -b + q = 2*b. What is the third derivative of 3*z**b - z**6 + 2*z**2 - 7*z**2 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4 and 47\/850.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1502, 1604, 1696, 1772, 1826?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 494046?\nAnswer: 98809.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 2*m - 3*m - 7*m + 4*m - 3*m + (-2 + 1 + 3)*(0*m + 2*m - 4*m) - 149*m - 177*m + 28*m as p + y*m and give y.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (6 - 9 - -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(-5)\/(u**(1\/4)*u)**28)\/((u*(u**5\/u)\/u*u)\/u**(-6)*(u**0)**34) assuming u is positive.\nAnswer: u**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*l + 155. Calculate the remainder when l is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 4, -3, -5 in descending order.\nAnswer: 37, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10)\/(-2) - 63\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63589 times -468?\nAnswer: 297.59652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -1\/5*c**5 - 1\/10*c**6 + 2 + 2\/3*c**3 + 1\/6*c**4 + 2*c + 1\/2*c**2. Let x(f) be the first derivative of r(f). Factor x(p).\nAnswer: -(p - 1)*(p + 1)**2*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -41*q + 5. Let x(f) = 759*f - 92. Determine -92*v(m) - 5*x(m).\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2946198 - 497.29\nAnswer: -2946695.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**2*k*k)**19*k**(-6)*k\/((k\/k**(2\/7)*k)\/k))\/((k*k\/(k\/(k*k**(-4\/11)))*k*k)\/(k*k*k**(-1)*k*k*k)*k**(-1\/4)*k*k**(-1)) assuming k is positive.\nAnswer: k**(27689\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8580 and 149820.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 319642 - 319642 - 5*b. Let s(v) = 21*v**2 - 59*v. Determine p(s(h)).\nAnswer: -105*h**2 + 295*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwk when three letters picked without replacement from knkykwnkyykywkw.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/130*-45 - 20\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/(-4928)*(1 + 20).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 3968954535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15e28 (base 15) to base 11\nAnswer: 49122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-9 - -3) + (-1 - -12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 14*l + 22. Let g(b) = -b**3 - 3*b**2 + 4*b + 1. Let p be g(-3). Is 10 a factor of y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -39. Let n = 19 + -93\/5. Which is the closest to n? (a) r (b) 0.3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293621 to the power of 1\/2, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-1))\/5)\/((-3)\/27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 6*g - g - 17, -9 = 2*v - 3*g. Which is the fourth biggest value? (a) 4\/5 (b) v (c) -2 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5 + 3. Let d = -6 - j. What is the third biggest value in 0.2, d, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(33))\/sqrt(3).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q**2 + 3*q + 4 - 2*q)*(46*q**2 - 24*q**2 - 6*q - 23*q**2).\nAnswer: q**4 + 5*q**3 - 10*q**2 - 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*(-21)\/(-35)*(-15)\/(405\/(-36)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*19\/(-1)*1 + -2. Suppose -6*q - 55 = -f*q. Suppose 4 = -q*t + 2*u - 1, -3*u = 5*t - 20. Which is bigger: t or 1\/53?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2)\/(-6) - (-323)\/57 and 57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 + -202. Let q(a) = -9*a**3 + 5*a**2 - a - 5. Let h(c) = -10*c**3 + 6*c**2 - 2*c - 6. Let i(n) = k*q(n) - 5*h(n). Factor i(y).\nAnswer: -4*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 60, -4\/7, 1933079?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 4*k**3\/3 - 57*k**2\/2 + k - 3. Is q(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 5*f. Let x be c(6). Suppose 0*w + w - x = 0. Solve d - 19 = -4*i - 4, -w = -d - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 9*z - 14*z - 5, x - 4 = 4*z. Suppose -3*n + 88 = 13. Suppose 5*i - 20 - n = 0. Solve r + 14 = -3*u - 0*u, x = u - 4*r + i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 3. Let b be 7\/l - (-2)\/8. Suppose -b*u + 0 = -2. What is the nearest to u in 3\/7, -1, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.15 and 254.84?\nAnswer: 1567.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 908 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -16*p + 2256. Suppose 395 = 5*t + 5*f, -t = 5*f - 7*f - p. What is the greatest common factor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 46*z**2 + 5*z - 44. Let f be w(23). Let u = -353\/5 + f. Which is the second biggest value? (a) 2\/3 (b) -8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 1756*b + 7014. What is the remainder when 505 is divided by o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 7. Let x(i) = -5*i**2 - i - 28. Let t(s) = 9*f(s) - 2*x(s). Suppose -6*d = -4*d + 10. Let p be t(d). Solve r = 3*r + p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11.43 (b) 1 (c) -3\/1363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 198834439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*v + 0*v = 37, 5*a + 47 = -4*v. Let g(h) be the third derivative of 7*h**4\/24 - 2*h**2. Let s(r) = 10*r. Calculate a*g(t) + 5*s(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a meter in millimeters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 + -46. Let f be -3 - -4 - (-1 + 0). What is the remainder when z is divided by 231\/15 + f\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -385 (base 9) to base 4.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + -40.2. Let f = c + 43. Sort 3, f, 2\/3, 3\/7 in increasing order.\nAnswer: 3\/7, 2\/3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:10 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + -11 + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**2 + 1013756*j - 2027504 = 0.\nAnswer: 2, 506876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 + -31. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2218.6 + 1950. Let s = r - -59. Round s to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -473.02001*-3\nAnswer: 1419.06003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, 1449, -2\/3 in descending order.\nAnswer: 1449, 4, -2\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 3) - (0 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206*p**2*s**3 - 27*p**2*s**2 - 6*p**2 + 12708 with respect to s.\nAnswer: -618*p**2*s**2 - 54*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h. Let c be v(1). Let z be (0\/2)\/((-1)\/(3 + -2)). Suppose -c*l + l + 8 = z. Let x(j) = -j**2 - j - 2. What is x(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - 102.0000452. What is s rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -32. Suppose t = 5*b - b. Solve -b*w - 3 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/12 - 5)*6\/(-20).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40795 and 1592?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Calculate the lowest common multiple of 6 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 times 72.32\nAnswer: 6942.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 8*u - 1. Let z be (-3)\/((-6)\/(-4)) + 16. Suppose z*g - 97 = -13. Calculate s(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0404 and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69386 - 3276172460.\nAnswer: -3276103074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**9\/504 + 59*p**7\/14 + 11*p**5\/12 - 7*p**4\/12 - 4026*p**2. What is the third derivative of j(d) wrt d?\nAnswer: -120*d**3 + 21240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 7*b + 7. Let x be s(7). Calculate the greatest common divisor of x and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - 146*k + 9*k**2 + 146*k)*(-3*k - 2*k + k) + (k**4 + k**4 + 0*k**4)*(3*k - k - k).\nAnswer: -6*k**5 - 36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507878339?\nAnswer: 139, 241, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n - 5. Let o(v) = v + 1. What is a(l) + 4*o(l)?\nAnswer: 15*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56508831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 3:27 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:36 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(35)*-1 + sqrt(35))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3016b1 + 0?\nAnswer: -3016b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = 5*d - 13*z - 84, -2*d + 16*z = -78. Solve -w = -b, 18*b = 2*w + d*b - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/(-33)*(-1)\/(4\/4)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*b - 1695, -2*b - 1318 = 5*c + 367. Let p(f) = 2*f**2 + 76*f + 104. Let o be p(-38). Let i = o - c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(20\/(-44)) + (-3042)\/273. What is the closest to 0.9 in -1, 0.3, 0, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8 = -5*q - 2, 0 = 5*h + 5*q + 10. Let t be (-3)\/(-3 - (1 - 3)). Solve -t*c - 6 = -h*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186771.770174 + 186748.77. Let a = -5969 + 5946. Let p = h - a. What is p rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.967304 centimeters?\nAnswer: 9673.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, x: 6}. Give prob of picking 1 k and 1 x.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031*s + 1759*s = 8539 - 24887 - 75722 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28279 + (-8 - -9 - -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 702351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a week in hours?\nAnswer: 2058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1532 (base 13) to base 4\nAnswer: 300023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let k(o) = 2003*o. Give k(p(w)).\nAnswer: -4006*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + d**2 + d. Let m(t) = -4*t**3 - 28*t**2 + 3*t - 2. Give -m(n) + 3*p(n).\nAnswer: n**3 + 31*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -173. List the prime factors of k.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siu when three letters picked without replacement from iisuiuissi?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156903527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -15*s**3 - 2*s**2 + 1. Suppose r = 9 - 2. Let u = -8176 + 8178. Suppose r = -5*z + u. Determine c(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m + m - m**2 - 2 + 1 + 6. Let o be -7 + (2 - (0 - -2)). What is the tens digit of z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -230838?\nAnswer: -230854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6991 = -411*i + 10039 + 412 + 10917 for i.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.039 - -0.4?\nAnswer: -30.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7030*f - 22. Let a(i) = -2810*i + 9. Calculate 12*a(b) + 5*p(b).\nAnswer: 1430*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) + 13\/3. Suppose -8 = -v*j + 7. Factor 4\/3*y**j + 0*y + 0 + 2\/3*y**4 + 2\/3*y**2.\nAnswer: 2*y**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287*-0.03\nAnswer: 8.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 18895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 21*n + 43. Let j be c(-19). Sort 3, 1, -1, j in descending order.\nAnswer: j, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7250 and 1500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {p: 1, t: 1, w: 13}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 4}. What is prob of picking 1 h and 3 b?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76038371653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13\/6, 2, -0.131, 0.03, 0.04?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1797 is divided by 139?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 21*p**3 + p**2 + 2*p. Let g be m(-2). Let i be -5 + (g\/(-27) - 1). Which is the closest to -1? (a) 4 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146530*c**3*h + 1651434*c**3 + c**2*h**3 with respect to h.\nAnswer: -146530*c**3 + 3*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 101. Is 3089 + -1 + 12\/(t\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138054612 by 868268.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57, -269, -479, -687, -893, -1097, -1299?\n\"Answer: b**2 - 215*b + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 308472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -3*u - 9, -a - 2*u + 803 = 1609 - 807 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -1 - 1\/3*c**3 + 3*c - 1\/2*c**2. Give j(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4270014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 63504\/78 - (-16)\/(-104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 25. Round d to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*y - 1, -m - 3*y + 2 = -7. Let t(w) be the first derivative of w**2 + 4 + 0*w + 4\/3*w**m. What is the second derivative of t(j) wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3)*(-36)\/(-16). Suppose -11 = 3*a - 2*z, -n*a + 5*z - 16 = 4*z. Which is smaller: -11\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -46*k + 281. Let o be r(6). Let v(j) = j**3 - 10*j**2 + 12*j - 11. Let z be v(9). Solve -3*a - z = -3*n - o*a, 0 = a - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.01095022\nAnswer: 0.001095022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -8\/3, 2\/11, -0.1, 1\/26, 0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 9*g + 7. Let a(t) = t + 1. Let r(i) = -4*a(i) + o(i). Let h be r(3). Let l(z) = z**2 - 10*z + 11. Let j be l(h). Solve -j*u = -3*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 2. Let r be 2 + 6 + -3 + -3. Let j be (-3)\/(15\/10) - (0 - 10). Let d(f) = -7*f + 4 - j*f - f**3 + 18*f - 1. What is r*d(z) + 3*t(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -2. Let u = v + 58. Suppose 0 = -i + 5*a - 4, 0 = -a + u + 1. What is the highest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 108 = -10*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19375334 is divided by 213.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 8*f**2 - 17. Is 11 a factor of d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261838670.65 + -398.\nAnswer: 261838272.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*f = 81, 2*f + f - 6 = 0. Let w = c - -79. Solve -g = 2*g - w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10942*b**2 + 6623 wrt b.\nAnswer: -21884*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -34378*r - 976*r**2 + 34378*r - 143*r**2 as p*r + d*r**2 + s and give d.\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c**2. Let x(o) = -4*o. Let w(t) = -11 + 1 + 3 + 6. Let p(q) = -5*q - 6. Let b(y) = -p(y) + 6*w(y). Let g(f) = -6*b(f) - 7*x(f). Calculate k(g(r)).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000242498 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 18*b + 74. Let w be l(6). Suppose -3*y = -5 - 7, 4*y = h - w. Solve -5*o - 5*z = 15, h = -5*o + z - 3*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 11. Let x = -35 + i. Let h(z) = -3 - z + 2 + 2*z. Determine h(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -168, -288, -408?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -21. Suppose -s*d + 156 = -3*d. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14715 + 52.24315. Let g = d + -50. Let w = g - 2.67. What is w rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5719919 millilitres to litres.\nAnswer: 0.0005719919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 1347*l - 16. Is 30 a factor of j(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*n + 7*n + 28. Sort -1, n, 3.\nAnswer: -1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475 - 212 = -94*u + 3543 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1040\/416)\/(5\/8). What is the smallest value in 27\/4, x, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90295*w - 90369*w + 888 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3119*i - 12468. Determine m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/8*24\/15. Let p(j) = 15*j**2 + 7*j. Let a be p(q). What is a rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - -17 - (1 - -2). Solve -f*o = -3*x, -2*o = o + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -o + 4*o - 5*u, 0 = 5*o - 4*u - 34. Suppose -2*z + 624 = o*z. Let n(j) = -j**3 + 3*j**2 + 3*j. What is the remainder when z is divided by n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = -234353*h + 234379*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15024, -17203, -20842, -25947, -32524, -40579, -50118, -61147?\nAnswer: -73672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*j**2 + 146*j**2 - 32*j**2 + 72*j**2 in the form n*j + t*j**2 + d and give t.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 15, 5*g - 13 - 12 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**(-2\/71)\/d*d*d*d)\/d*d*d*d\/(d\/(d\/(d*d**(24\/7))))*d*d)\/(d**(-4\/5)\/(((d**1\/d)\/d)\/d)))**(-46) assuming d is positive.\nAnswer: d**(-267858\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 65. What is the first derivative of -1891 + 1881 + 29*h**4 + d*h**4 wrt h?\nAnswer: 136*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2*4\/(-12)*(-54)\/72). Let u = -36 - -56. What is the greatest common divisor of u and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(28\/(-6)) + (-260)\/156?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 2, c: 1, b: 3, w: 3, f: 2}. What is prob of picking 2 f and 1 e?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67123*h**3 + 96587*h**2 wrt h.\nAnswer: -402738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437826 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 10*p**2 + 2*p + 10. Let d be 123\/(-12) - (-3)\/12. Give v(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157492986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**5\/20 - l**4\/3 - l**3\/3 - l**2\/2 + 6*l. What is the remainder when i(-5) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 30 = 34*r. Let a(b) = 3*b - 2. Calculate a(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*w - 29 = -8, 0 = -5*w - 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 28*s**3\/3 - 16. Let v(u) = 2*u. Give o(v(j)).\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 658 = -5*i, -2*i + 8 = -6*i. Let m = 383 + a. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -27. Calculate the remainder when 45 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*f - 2717*f + 910*f + 901*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 11*h**2 + 18*h + 2. Let r be z(-9). Which is smaller: 14\/9 or r?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:22 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from enr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*d**4 + d**2 - 267*d.\nAnswer: 240*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:46 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 6871112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*r - 10, -4*r - r - 28 = 4*x. Let w be ((-18)\/3)\/x + 1. Find the first derivative of 4*y**w + 5*y**2 - 2 - 5*y**2 wrt y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 20, 312686 in increasing order.\nAnswer: 20, 25, 312686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 108, 186, 280, 390, 516?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5414 - 5410) + -50 + 0.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhzzhhhhh. Give prob of picking 1 c and 1 z.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/9 + 254*k**2\/9 + 15740*k\/3 + 148512 = 0.\nAnswer: -72, -39, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3 - 5927*n**2\/7 + 638126*n\/7 - 5646040\/7 = 0. What is n?\nAnswer: 68\/7, 115, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37065?\nAnswer: 3, 5, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34 (b) -3\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhahhhhhhhh. Give prob of sequence hh.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 39 = 4*y, 2*y = -c - 0*c + 15. Let h be 2\/8 - (-722)\/(-8). Let t be (-6)\/(-8) - h\/8. What is the highest common factor of y and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16960 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -30.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 38*f - 89. What is t(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:22 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 11931670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 632*w**2 + 70*w**2 + 456*w**2 - 3 - 237*w**2 - 366*w - w**4 wrt w?\nAnswer: -12*w**2 + 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 15) to base 8\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 1. Let j(p) = p**2 + 3*p + 5. Let f(v) = 2*v + 6 - 3*v**2 + 0 - 3. Let b be f(-1). Let w be j(b). Determine t(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 + 74. Let n = o - -21. Sort -2\/19, 5, n.\nAnswer: n, -2\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 66, -2 in decreasing order.\nAnswer: 66, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372574?\nAnswer: 2, 107, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -42. Let t = 40 + h. Suppose -4*z = -20, -z - 6884942 = t*o - 107884947. What is o rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuzzuuuuuuuuuzuu. Give prob of sequence zz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -w + 9. Let i be w\/(-7) - 54\/(-22). Do -2 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -493 - -858. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kikfkatffifkfpa. Give prob of sequence tkp.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -2*a**7\/105 - a**4\/6 + 3*a**2\/2 + 4*a. Let g(h) be the first derivative of y(h). Find the second derivative of g(v) wrt v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 5*c + 199, 7*w = 2*w - 5*c + 165 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000533201 rounded to 6 dps?\nAnswer: -0.000533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259516 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 19 + 1 = 0. Solve 5*p + l*z = -31, p = 2*p - 5*z - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**2 + 557236*r + 8357640 = 0.\nAnswer: -139294, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -190026182588 less than -66?\nAnswer: 190026182522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 + 2*g**2 - 5*g + 9. Let z(o) = o**3 - o**2 + 2*o - 4. Suppose 2*a - 2 = 8. Calculate a*z(h) + 2*y(h).\nAnswer: -h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-18 + 1 - -5) - -8?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 greater than or equal to 2\/293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 32591608*h + 66388307001604.\nAnswer: 4*(h + 4073951)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + d - 1. Let f(x) = 3*x**3 + 8*x - 8. Suppose 37*n - 90 = 52*n. Determine n*g(i) + f(i).\nAnswer: -3*i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let o(a) = -198*a**2. Determine o(i(k)).\nAnswer: -198*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2211, -2221, -2231, -2241?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628535 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1544691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 61 = 29. Put 22, 5, o in decreasing order.\nAnswer: 22, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*f = -120, 3*j - 2*f - 231 = 74. What is the highest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1851, 1940, 4 in decreasing order.\nAnswer: 1940, 4, -1, -1851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p**2 + 260*p - 96. Calculate q(43).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1, 5, -1\/3, -0.2068?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.78461ug in kilograms?\nAnswer: 0.00000000178461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1639*j**2*q + 2932*j**2 + 2*j*q**2 - j wrt q?\nAnswer: 1639*j**2 + 4*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {v: 2, k: 4, x: 4, z: 1, t: 2, c: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(6\/9) + 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (0 + 12 + -8 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1785.61 - -1786.47787. What is t rounded to 2 decimal places?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 2. Let c(q) = q**2 + 23*q - 9. What is 2*c(t) - 10*u(t)?\nAnswer: 2*t**2 + 26*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 84, 22.\nAnswer: -3, 22, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1461 = 2878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -4, -15, -0.3, -0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 901.4282 minutes in milliseconds?\nAnswer: 54085692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*13*107\/(-214).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let y(q) = 2*q**2 - 29*q + 2. Give 3*o(r) - y(r).\nAnswer: -2*r**2 + 23*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**6 + 166*m**3 - 473*m**2 wrt m?\nAnswer: 240*m**3 + 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 3*h + 0 + 2 + 17*h**3 - 18*h**3. Let j(g) = 9*g + 12. Let r(w) = 5*w + 6. Let p(y) = 4*j(y) - 7*r(y). Let q be p(-9). Give o(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**2 + 830*t + 88 wrt t.\nAnswer: -2*t + 830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 5:03 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/2 + 1417*t - 2007889\/2 = 0.\nAnswer: 1417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0 = 5. Suppose -4 = -x + 4*z, 2 = -5*x - 3*z - n. What is the second biggest value in x, 4, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) - 4\/(-6). Put -1, -4, w in descending order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2623 + 2678. Which is smaller: 13 or j?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65771a1 (base 11) to base 2.\nAnswer: -101100000011000000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - o**2 - o + 1. Suppose h = -2*h. Let j be r(h). Is 3\/(-2*j\/(-10)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 5.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4907 + -4295. Let f = r + 55061\/6. What is the common denominator of f and -11\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiaa when four letters picked without replacement from aiiiiiaaiaaiaaiaaaai.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4009 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384397, 768878, 1153449, 1538110?\nAnswer: 1922861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q - 26. Suppose -4*j - 38 = -2*t, -4*j + 9 = -t - 9*j. Let l = t + q. Is l bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13932 plus 3?\nAnswer: 13935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/3744 and 61\/576.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -492?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -3*a**2\/2 - 1. Let l(f) be the first derivative of 30 - 1\/3*f**3 + 0*f + 0*f**2. Calculate m(l(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 33. Let p be u(19). Suppose 23 = p*f - 2. Suppose -4*a - 4 = -f*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-19))\/(3\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7262*w**3 + w**2 + 706*w.\nAnswer: -43572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.95 (b) 2\/11 (c) 0.04557 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2166? (a) 0.5 (b) 3\/187 (c) -2\/9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 20*t**2 + 20*t - 3. Let s(l) = -l**3 - 21*l**2 - 48*l + 89. Let r be s(-18). Calculate u(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4602\/(-351))\/59*(-306)\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - -20 - (83 - (129 - 58))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = -18*p - 204 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 (base 12) in base 2?\nAnswer: 100000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000335 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 53*i**3 + 266*i**2 + 3*i + 8. Let m be x(-5). Solve 3*q + 12 = -5*p - m, 7*p + 41 = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:34 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2673 (b) 0.13 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12149, -12495, -12839, -13181, -13521, -13859, -14195?\n\"Answer: j**2 - 349*j - 11801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -109 + 73 + -34?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -78. Solve 2*l - 6 = -k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1))\/(j*j\/(j\/((j**(3\/10)*j)\/j))) assuming j is positive.\nAnswer: j**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 1025\/14. Which is the biggest value? (a) 1\/4 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgzvzvsksvgvzvvvk. Give prob of picking 2 s.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-96))\/(-1*(-35)\/42)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**5 + 3*s**4 + 6*s**3 - 4*s**2 + 3. Let c(m) = -9*m**5 + 5*m**4 + 12*m**3 - 8*m**2 + 5. Let b(q) = -3*c(q) + 5*u(q). Find x such that b(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by -1673.\nAnswer: 47\/1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2 + 13*j - 5. Let f be l(-7). What is the third derivative of -46*s**f + 4*s**3 - s**3 - 5*s**3 wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7026670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 29*r + 33. Let p be s(13). Let o(w) = -411*w + p*w + 1 + 2. Let g be o(-1). Calculate the highest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22c (base 14) to base 5\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*f**2 + 183*f\/2 + 24.\nAnswer: -3*(3*f - 16)*(4*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-3 - 20\/(-6)). Suppose -2 = z - 7. Let g = n + z. What is the greatest common divisor of 15 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3.97. Let n = -695 + 483. Let q = n - -208. Sort -1, m, q in ascending order.\nAnswer: q, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972, 1926, 2882, 3840, 4800?\nAnswer: 5762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from kiayxkaikaqqaqyii.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62.1 + -91.1. Let c = -122230.9299968 + 122201.93. Let t = d - c. What is t rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -183501?\nAnswer: -183501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11786 + 4b?\nAnswer: 11815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 at least 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74544, -149183, -223936, -298809, -373808, -448939, -524208?\n\"Answer: -f**3 - 51*f**2 - 74479*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + -1.99. Which is the nearest to 1\/4? (a) -4 (b) p (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**4 - 4*x**3 + 2*x**2 + x + 3. Let a(i) = 3*i**2 + 7*i**4 - 3 + 8 - 5*i**3 - 2*i**3 + 2*i. Let o(r) = -6*a(r) + 10*s(r). Factor o(w).\nAnswer: -2*w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24212066*z + 26317655.\nAnswer: 24212066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h + 37*h - 11*h - 1 - 16*h in the form f*h + t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1303, 1450, 1597, 1744, 1891, 2038?\n\"Answer: 147*i + 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(605) - (sqrt(605) - sqrt(605)*1 - sqrt(605))) - ((-1*sqrt(200) - sqrt(200)) + 2*sqrt(162)))**2.\nAnswer: 2025\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 107, 4 in decreasing order.\nAnswer: 107, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, l: 4, a: 2, j: 1, u: 1, o: 1}. What is prob of picking 1 l and 1 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -136322816 and 7563319?\nAnswer: 143886135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33, 104, 217, 378, 593, 868?\n\"Answer: c**3 + 15*c**2 + 19*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d + 310. Determine i(29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 69*o - 199. What is the hundreds digit of s(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438\/5 + -1\/15. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {c: 1, d: 2, l: 4, p: 1, o: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 20*y**2\/3 - 46*y\/3 + 8.\nAnswer: 2*(y - 1)**2*(y + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 9*w**2 + 8*w + 8. Let v(r) = r**3 + r**2 + 3*r + 2. Let b be v(-2). Let s be m(b). What is the greatest common divisor of s and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = -6. Suppose -2*i - m*i = -60. Calculate the lowest common multiple of 22 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 19*v = 36, 9*t - 10*t - t = 3*v - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 4*f - 60*f + f + 3*f + 0*f + 1 + f - 1 + (2*f + 4 - 4)*(-3 + 1 + 1) - 2 + 2 - f to l*f + z and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 1, -30, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -330*((-21)\/10 + (-2)\/(-4)). Suppose v = -a + 9*a. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21849 is divided by 949?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207*v**3*y**3 + 3*v**3*y + v**2*y**2 - 24*y**3 + 3*y wrt v?\nAnswer: -1242*y**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1342652, 1342649, 1342646?\n\"Answer: -3*p + 1342655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1358*p**3 + 2720*p**3 - 1354*p**3 - 22*p**2 to the form y*p**2 + s*p + t + o*p**3 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 27*o**2 - 61*o + 188. What is the tens digit of x(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2. Let z(g) = g**2 + 8*g - 5. Let i be z(-8). Let r(s) = -2*s**2. Let l(x) = 4*x**2. Let y(k) = i*r(k) - 2*l(k). Give t(y(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 10*i + 16. Let f be x(21). Suppose -2*r + f - 79 = 0. List the prime factors of (-4)\/(-4)*(0 + r).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1\/20, 0, -4.097391?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/1664)\/(30\/40)*18\/20.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 5516.\nAnswer: 55160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 117077701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6*a - 4*a - 158 = 0, -2*j + 4*a = -164. Let s be (j\/(-72) - 4\/(-36))*0. Solve -5*f - 3*c + 4*c - 27 = s, 0 = -2*f - 5*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12406, 25084, 38044, 51292, 64834, 78676?\n\"Answer: k**3 + 135*k**2 + 12266*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11675*a**2*p**3 + 4877*p**3 wrt a.\nAnswer: 23350*a*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -0.04. Let s be 2 - 39*(-4)\/(-72). Sort c, -2\/3, s.\nAnswer: -2\/3, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.7 - -16. Suppose -t - 3 + 2 = 0. Which is bigger: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15891212 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*r = 3, -4*r = -2*m - 9*r - 3. Calculate the remainder when 10 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 1.39047361?\nAnswer: 1.09047361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4009.4 times -2?\nAnswer: -8018.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Suppose 0 = -u - 21 + 19, -3*k = -2*u - 31. Sort 5, -1, k, r in increasing order.\nAnswer: -1, r, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 521*q**3 + 8*q**2 - 732*q. Let i(x) = -522*x**3 - 10*x**2 + 734*x. Let v(u) = -4*i(u) - 5*o(u). Find the second derivative of v(a) wrt a.\nAnswer: -3102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 20. Let c(w) = -w - 1. Let y(j) = 4*j + 1. What is t*y(o) - 2*c(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*v**4 - 519*v**2*z**3 + 362*v*z**3 + 2*v*z**2 + 57*v wrt v?\nAnswer: 204*v**2 - 1038*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, -2\/3, -28.5, -5\/9, -2, -4?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 = -3*g + 6, 4*h + 4*g = 16. Suppose -33 + 4 = -3*i + u, -55 = -5*i - h*u. Calculate the remainder when 19 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12 = 200. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -20. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 364?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(153) - ((sqrt(153) + sqrt(153)*1)*-1)**2)*5 + ((2*sqrt(204))\/sqrt(12) + -4 - (-2*2*sqrt(1377))**2).\nAnswer: -3676 - 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/3)*h)\/h*h)\/h)**(-39)*h**(-9)\/((h\/(h\/h**(-6\/5)))\/h)*((h*h**(-3\/7)*h)**15)**5 assuming h is positive.\nAnswer: h**(4797\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, d: 1, j: 3, q: 2, a: 1, p: 1}. Give prob of sequence qrja.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -301*h**4 + 388*h*v**3 - 261111*v**3 with respect to h.\nAnswer: -1204*h**3 + 388*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -571, -562, -547, -526, -499, -466?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7\/(u\/((u\/(u**(2\/7)*u))\/u)*u*u)*(u**(-2)\/u*u)\/u**(-3\/5)*(u**0\/u*u)**41\/(u**(2\/9)\/(u**(4\/9)\/u)) assuming u is positive.\nAnswer: u**(169\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1478555 and 53105.\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1786*h + 17784 = -1777*h. Which is smaller: 1974 or h?\nAnswer: 1974","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {p: 1, q: 4, m: 1, g: 1, z: 2, j: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (122145\/(-1807746))\/(2\/(-4)*1)\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*c + 227523 = 0, 5*y - 4*c = 382361 - 3161. Suppose y - 4836 = 5*p. What is p rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 38*z**2 + 367*z - 133. Give u(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 7. Let z be d(-10). Suppose f + 0 = z. Suppose -g = -f*w - 5, -3*w + 4 = 7. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13183 + 5346. Which is greater: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 + 53 + 2 + 5 + (2 - 1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -16 + 2*a + 16. Let s(y) = -9*y. Calculate s(t(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 j when three letters picked without replacement from cnjxeonj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253\/5 + -997\/20. Let p = -8.08 + 0.08. Let v = -154 - -1076\/7. Which is the second smallest value? (a) v (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11167523*h**4 - 6*h**2 - 32472*h wrt h.\nAnswer: -268020552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2461, -5203, -8215, -11497, -15049?\nAnswer: -18871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 16*z + 11*z = 0. Suppose d + 5*j = -z*d + 7, -d + 4*j = 2. Solve -d*k + 22 = -4*x - 0*k, 2*k = x + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45, -52, -81, -144, -253, -420, -657, -976?\n\"Answer: -2*i**3 + i**2 + 4*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.3 + 1.3. Let i = w - -4.7. Suppose -2*z = -4*z - 8. Which is the biggest value? (a) i (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28 and -0.09674233.\nAnswer: 27.90325767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 24*x + 15. Is v(-27) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*m + 85, -4*m - 13*z + 105 = -14*z. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -496, -1012, -1518, -2008, -2476, -2916, -3322, -3688?\n\"Answer: x**3 - x**2 - 520*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = -5*f + 12, 5*f - 20 = -5*h. Find the third derivative of 3*b**2 + 5*b**2 - 2*b**2 - 4*b**2 - f*b**5 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 709356 and 336?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 - 131. Solve z = a - 5*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 1\/2, -7, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2 - 419130*l + 3352848 = 0.\nAnswer: 8, 139702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*r + 2906 + 5170, 4*r = 5*j + 40467. Let v be j - 1 - (-4 - -2). Round v to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 106581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682.94l in millilitres?\nAnswer: 2682940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -850, 4, -4, 5, -1 in increasing order.\nAnswer: -850, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**6 - 1\/2*v**3 + 0*v**4 + 4 - 17\/10*v**5 + 1\/42*v**7 - v**2 + 2*v. Find the second derivative of k(q) wrt q.\nAnswer: 20*q**3 - 204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 1, q: 1, g: 1, k: 1, w: 1}. Give prob of sequence gk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561 = -3*l - 3*f, 3*l = -0*f + 3*f + 531. Let o = l + -172. Solve u + s = -o, -5*u - 10 = -2*u - s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 5:57 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 298 - 257. Suppose -d*r + 62*r = 504. What is the highest common divisor of 30 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 5*h**2 + 8*h + 4. Let g be o(6). Suppose 0 = -5*i - 56 + g. Let n(t) = 4*t**2 + 13*t + 14. What is the units digit of n(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 6:37 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 6*y - 1. Suppose -4*p + 2 = -f, -4*p + 4 = -f + p. Suppose -f - 4 = -5*c. Suppose -c - 6 = -2*i. Calculate t(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by -33\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from ztejzztzaz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335207*r + 335204*r - 1005629*r + 335205*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-2)*262\/(-30). Let v = a - 22. Let l = -1 + 1. Is l at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 18. Let i be q(-5). What is the derivative of 10*w**i - 43 - 31 + 12 - 3*w**3 wrt w?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let r(j) = 299*j - 36. Let p(g) = -597*g + 78. Let k(u) = -6*p(u) - 13*r(u). Calculate k(b(q)).\nAnswer: -610*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 54*l**2 + 7*l + 2. Let f be u(-9). Let m = f + -34565\/8. Calculate the common denominator of m and 93\/30 + 2 + -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 14*s - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 8*a + 14. Let i be j(-6). Let f be (-4)\/(-6)*(22\/4 + i). What is the nearest to 1 in 2, 3, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281330893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 93799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/882 and 31\/6762.\nAnswer: 20286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65465*a + 65455*a - 230 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 5*y - 6. Let o(n) = -n**2 + 6*n - 5. Let a(r) = -4*o(r) + 5*s(r). Give a(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 4\/3*r**3 + 12*r + 0 + 0*r**2. Let x(j) = 6*j - 2*j - j - j. Give s(x(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -22, -35, -50?\n\"Answer: -u**2 - 8*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6\/11, 789 in ascending order.\nAnswer: -1, 6\/11, 789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -13, -4, -5, -56, 4, 6.\nAnswer: -56, -13, -12, -5, -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from {p: 13, w: 3, y: 3}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/126*(-2)\/228*9.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r - 164. Is (7 + -9)*r\/(-4)*46 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361278, -1445103, -3251506, -5780511, -9032142?\nAnswer: -13006423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 387*g + 20714. What is n(-53)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19464621.\nAnswer: 3, 11, 31, 53, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 2*b**2 + 3*b**2)*(-8313*b + 16629*b - 8316*b - 9702*b**3).\nAnswer: 9702*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2159, -18568, -63107, -149840, -292831?\nAnswer: -506144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 8 - 0. Suppose -b*o + 33 = -27. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*v + 3*l, -4*v - 3*l - 49 = -74. Solve v*t - 5 = 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = 35. Suppose 4*a = m + 1. Calculate the smallest common multiple of a\/3*-2*-15 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264291 divided by -3.\nAnswer: -88097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*x**2)*(3 - 3 - 3*x) + 10*x**3 + x**3 + 8*x**3 - 2*x**3 - 3*x**3 + 3*x**3.\nAnswer: 26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + 6*(-1*sqrt(156) + sqrt(156)) + sqrt(156) - sqrt(156) - 3*sqrt(156)*-1)\/((1*(sqrt(84)*-3 + sqrt(84) - sqrt(84)) + sqrt(84))\/sqrt(7))*-6.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 4*o**2 - 2*o + 5. Give g(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 4, p: 1, d: 1, b: 2}. Give prob of picking 2 k.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffqq when four letters picked without replacement from {q: 7, f: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 256.5*-1\nAnswer: -256.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 15. Let x be c(-6). Suppose x*b - 98 = 1. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j = 65 - 265 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267*s**4 - 47*s**2 - 76*s**4 - 115*s**2 + 65*s**2 wrt s?\nAnswer: 4584*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**2\/2 - 1. Suppose 3*d = -2*o + 19, 5*d + 5 = -0*d + 4*o. Let l(x) = 0*x + d*x + 0*x - x. Calculate l(h(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -596 + 598. What is the third derivative of -73*y**2 - 14*y**6 - 61*y**6 - 70*y**2 + 25*y**a + 6*y**2 wrt y?\nAnswer: -9000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 2*y**3\/15 + 13*y**2 - 268*y\/5 + 1146. Find l, given that s(l) = 0.\nAnswer: -67, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, h: 4, l: 1, i: 4, t: 2}. Give prob of picking 1 l and 2 h.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*c**5 + 2*c**5 - c**5 + 87*c**2 - 5*c**5 - 87*c**2 + (-3 + c**3 + 3)*(4*c**2 - 2*c**2 - c**2).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c + 154. Let r(g) = -g**2. What is r(q(l))?\nAnswer: -81*l**2 + 2772*l - 23716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 - 352 = -o. Suppose 2*w - o = -170. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 59. Suppose 22*z + 117 = -125. Let o = 149 + -50. What is the remainder when o is divided by c(z)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-4) + 0)*2\/(-4). Suppose -f = 4*v - 3*v. What is the closest to 12 in -5, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 718 - 443. Let j be 55\/b - (-959)\/5. What is the greatest common divisor of 64 and j?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*l - 1550 = -4340 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 5*w - 168 + 152, -11 = 4*p + 5*w for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 16572023?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/(h*h**(-2\/13))*(h**2)**(1\/38))\/(((h\/(h*h\/(h**(1\/3)\/h)*h*h*h))\/h*h**(-4\/3))\/(h**(-2)*h)**(7\/2)) assuming h is positive.\nAnswer: h**(-2121\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 762316.307.\nAnswer: -762314.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxz when three letters picked without replacement from xxwzvhxzxxhh?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 1. Let u(s) = 19*s - 3. Calculate -u(m) + 3*v(m).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 71*n**2\/5 - 139*n\/5 - 69\/5.\nAnswer: -(n + 1)**2*(n + 69)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 36*u**3 - 1. Let n be w(1). Suppose -5*c = -5*p + n, -2*c = -4*p + 3*p + 4. Calculate the remainder when 17 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*c + 298 = a, 3*a = 4*c + 446. Suppose 4*y - 9*y + a = 0. Suppose -2*u + 3*o = -110 - y, -o = u - 60. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let m = 1 - -1. What are the prime factors of 7\/m + w\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.0488 (b) -29 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -52*t - 64. Let g(u) = 26*u + 33. Let r(l) = -5*g(l) - 2*i(l). Differentiate r(v) wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = -4*u - 111. List the prime factors of (-3672)\/u - (-2)\/(-7).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*-2*1. Factor n**3 + n + 2*n**2 + 3*n**3 - 4*n**l + n**3.\nAnswer: n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*f + 4*b, 14643 = 5*f + 31*b + 14644 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n + 39*n = 0. Suppose -589*w + 587*w + 460 = n. What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*r**4 + 3045*r**3 + 195375*r**2 - 5785685*r - 5978025 = 0. Calculate r.\nAnswer: -163, -1, 45\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 272*z - 2 - 216*z + 407*z.\nAnswer: -81*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 755*l = -754*l - 88, 0 = 4*y - 2*l + 32 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -40, -23, 12, 71?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423301 (base 5) to base 4.\nAnswer: -3131321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 + 4?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 17650165?\nAnswer: -17650170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52339566?\nAnswer: 2, 3, 17, 19, 113, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1111\/6, -1, 10, 36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*a - 3. Suppose 3*j + 14 = 5*t - 0*t, 3*t + 2*j = -a. Suppose t = 7*x + 22. Is 4 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 - -331\/3. Which is the smallest value? (a) -68 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a + 68. Let q be j(16). Solve -q*u - 4 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/3*w**3 + 5\/2*w**2 + 8*w + 91. Calculate a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -31. Let o = 2 - j. Does 22 divide (32\/(-6))\/(o*3\/(-99))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 10:07 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1472\/5*z**2 + 0 + 372\/5*z**4 - 1484\/5*z**3 + 16\/5*z.\nAnswer: 4*z*(z - 2)**2*(93*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/13392 and -49\/2282976?\nAnswer: 212316768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:59 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 492502059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257262584 divided by -4.\nAnswer: -64315646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -735939.183 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -164 - 2*t - 7*t**2 + 10\/3*t**3. Find the second derivative of f(j) wrt j.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7154469055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*z - 24 = 0, 13*z + 18 = -5*u + 12*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*h + 8. Suppose 73*m = 77*m - 12. Let o = 39 - 37. Solve h = -m*y - o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 8*y**2 - 28*y + 5. Determine h(6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*j = 102, -5*d + 2*j + 116 = -66. Suppose 0 = 42*n - 1662 - 18. Suppose -2*g = -2*a + n, 0 = 5*g + d - 13. Solve -a = 4*w - w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from lbbxxbbblbbbxx.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30794359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 20 = -9*m. Suppose -2*n = -m*z + 6, -13 = -n + z - 3*z. Solve 2*k + n = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705077154 a multiple of 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2\/5 + 178542*z\/5 + 2656437147\/5 = 0. What is z?\nAnswer: -29757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-9))\/((-645)\/(-258))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 282084 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f + 10 = 0. Suppose -5*i + 150 = f*x, -49 = -2*i + 5*x + 25. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 36 = 40. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9982704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 8:46 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 + 220. Solve -3*a = -c*t - 12, 0 = -2*t - 0*t - 5*a - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104172424.\nAnswer: 2, 1447, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 109271431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (1 + sqrt(162)))**2 + 3 - ((sqrt(2)*2 + 4)**2 + (sqrt(32)*1)**2).\nAnswer: -52 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2398 and 71\/1744?\nAnswer: 19184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/12)\/z)\/z**(3\/5))**(-35) assuming z is positive.\nAnswer: z**(287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-35)*-5*(-1400)\/(-75).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 + 7*x - 5. Let a(v) = -v**2 - v + 1. Let c = -15 + 16. Let r = 2 - c. Determine r*u(w) + 5*a(w).\nAnswer: -w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 0.4, -39860, -2\/7 in ascending order.\nAnswer: -39860, -125, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1508, -1506, -1504, -1502, -1500?\nAnswer: -1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2*m**3 + 7*m**2\/2 - 458. Let j(y) = -3*y**2 + 3*y. What is 7*j(h) - 3*t(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(44)*-1)**2 - (-2 + sqrt(44) + -1).\nAnswer: -41 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36150 (base 8) in base 10?\nAnswer: 15464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 + -101001110?\nAnswer: -101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + 3166. Let l(o) = -u*o - 1 - 99*o + 1 - 5. Let a be l(7). Round a to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 2*g + 3*g - 4*g - 4*g**4 - 2*g**4 + 5*g**4 + (-8 + 8 - 8*g**3)*(0 - 2*g + 0).\nAnswer: 13*g**4 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/81 and -4\/585.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + a + 7884 = 0. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*((-12)\/9 + -4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, v: 2, q: 1, s: 3, u: 3, i: 1}. What is prob of sequence usl?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -5*k**3\/3 - 34*k**2 - 42*k. Let q be v(-7). Solve -q*c + 1 - 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 938.71, 0.04, 0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -25069 - -25069. What is b in 0*b**3 + 0 + 3\/5*b**4 - 3\/5*b**5 + k*b + 0*b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4120*b**3 + 3718?\nAnswer: -12360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133996438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(190)\/(sqrt(100)\/(sqrt(10)*-1 - sqrt(10))))**2 + -2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3182 + -3100. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(68) + sqrt(17))*3)**2 + sqrt(17) + sqrt(51)\/sqrt(3) + -3.\nAnswer: 2*sqrt(17) + 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4158 and 70?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - 8. Let d be (-4)\/i + (-92)\/(-16). Solve 0 = 3*l - d*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 700000. Suppose 13*k + t = 3*k. Round k to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -44?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11748 and 8712.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 7518*l + 75127. Give i(10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/368 and -55\/138.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 + (-3 - -4) + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*z = -58, 3*s - 3*z - 40 - 17 = 0. Calculate the remainder when 1562 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -125135*k + 5631081. Calculate p(45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 5. Suppose -4*b + 0 = 3*o - 9, 0 = 3*o - 5*b - 36. What is the remainder when r(o) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7069959 + -149587?\nAnswer: -149585.2930041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -51*t**2 + 13. Let w(x) = -34*x**2 + 9. Let a(k) = -5*i(k) + 7*w(k). What is the first derivative of a(l) wrt l?\nAnswer: 34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -0.4 (b) 1\/58 (c) -5 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 4 = -20*o. Suppose -15 = -4*r + 3*u, o*r - 2*u - 27 = -9. What is the highest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = a + r, 186 = 4*a - 2*r - 106. Calculate the smallest common multiple of 4080 and a.\nAnswer: 93840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/5 + 4884*h\/5 - 2301904\/5 = 0.\nAnswer: 638, 1804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20003 - 2020284\/101. Are 0 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -c53138?\nAnswer: -c53144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2487, -9618, -21509, -38166, -59595, -85802?\n\"Answer: -d**3 - 2374*d**2 - 2*d - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + 3. Let f = d - 0. Suppose 7 = 4*x - 53. Calculate the greatest common divisor of x and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3451.812 nanoseconds to microseconds.\nAnswer: 3.451812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1524614 and 19\/18295368?\nAnswer: 18295368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + 11*k**2 - 11*k**2 + (-2*k**2 + k**2 + 2*k**2 + (-4 + 1 + 5)*(0*k**2 + 2*k**2 - k**2))*(3 + 3*k - 3).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 11:02 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 33990.\nAnswer: 339900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2192 is divided by 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*q - 117*q = 6728890 - 2038918. What is the remainder when q is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 45. Suppose 5*l = v + 40, -2*l + 5 + 3 = 0. Let f be d(v). Solve f*z - 2*z = -12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 16*d**2 - 165*d - 45. Determine a(-23).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/3 - z**3 - z**2\/2 - 38*z. Does 10 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/36063 - -1694939\/793386. Find the common denominator of w and 107\/4998.\nAnswer: 54978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-2 - 2 + 3)*(3*r**5 - r**5 - 4*r**5).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6*a = 2*a - 10, 5*a + 31 = 3*q. Sort -4, 3, q in ascending order.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1223 (base 4) to base 15.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 1944748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2*-1 + (-158570)\/240. Let i = u + 659. What is the common denominator of -2 - 202*3\/(-60) and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146 + 64 + 46)*(4*d - 9*d**2 - 4*d) + (7*d**2 - 13*d + 14*d + d**2)*(-3 - 1 + 1).\nAnswer: 300*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -102, 3, 7 in increasing order.\nAnswer: -102, -4, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 28 - 4*t - t**2 + 2*t + 6*t. Let z be h(8). Suppose -v = -4*a - z, -5*v + a + 2*a + 54 = 0. Sort v, -5, -3 in decreasing order.\nAnswer: v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b4 + 2a9458?\nAnswer: 2a9264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:32 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421182 by -31.\nAnswer: -421182\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49\/93 - 6\/31. Let m(l) be the second derivative of 0*l**5 - 2*l + 0*l**2 - 1\/30*l**6 + 0 + 0*l**4 + g*l**3. Find the second derivative of m(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13504301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (-9 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 - -0.25. Let o = -0.41 - x. Which is smaller: o or -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*g + 39, -2*k - 4*g + 44 = -0*g. Let j be (-16 - -4)\/(k\/(-64)). What is the tens digit of j\/6 + 7\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 758.\nAnswer: 151.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(3 + -1*sqrt(99))*-4 + 0)**2.\nAnswer: -64800*sqrt(11) + 388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 3*d**4 + 0*d - 36 - 4*d**2 - 4*d**4 + 2*d - 2*d**3 as c + i*d**4 + m*d**3 + o*d + k*d**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 2. Let m be y(-2). Suppose 3*z - m*r - 26 = 0, 0*r + 4 = -3*z - 2*r. Let l = 44 - z. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q - 3. Let w = q - -3. Solve 2*v + 3*v - w*o - 29 = 0, 0 = -3*o - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1655752721 and 1437?\nAnswer: 1655751284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5*7550\/(-453))\/(30\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5041538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 32 = 4*r, 0 = -4*r + 9290*v - 9285*v + 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-10)\/4) - 115. Let w be s\/(-12) + (-2)\/(-8). Suppose -2 = 3*o + w. What is the third biggest value in 3, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 6. Let a be h(-4). Let t(p) = 8*p - 7. What are the prime factors of t(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2578, -2584, -2600, -2632, -2686?\n\"Answer: -m**3 + m**2 - 2*m - 2576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 96*u - 765. Let h be a(8). Solve n - 10 + 2 = p, -12 = h*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*w + 5, 0 = 619*y - 621*y - 2*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 - -209. Solve -z*p - 4 + 13 = -y, 5*y = -4*p + 25 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-13)))\/(d**(-4\/7)*d)*(d**2)**(-5) assuming d is positive.\nAnswer: d**(-164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1460)\/(-1314))\/((42\/(-81))\/7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13196844446 and 2?\nAnswer: 13196844444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*m**3 - 363*m**3 - 373*m**3 - 363*m**3 + 1433*m**3.\nAnswer: -39*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjgs when four letters picked without replacement from {s: 9, g: 1, j: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839846630?\nAnswer: 2, 5, 7, 79, 151871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200002100 + -20112?\nAnswer: 122211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - a + 8, 0 = 54*w - 51*w + 5*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/9 - (-1)\/(-3). Suppose -5*u - 7 = -5*n - 2, s = -2*n + 5*u - 7. Calculate the greatest common divisor of n and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1517941890 to the nearest integer?\nAnswer: 38961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 71 = 2*p. Let v = 49 + -195\/4. Let k = -27 + 27.1. What is the nearest to 0.1 in p, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2. Let j(m) = -381*m**2. What is p(j(v))?\nAnswer: 290322*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18619919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let k(s) be the first derivative of -s**5\/10 - 11*s**2\/2 - 27. Let b(w) be the second derivative of k(w). Give n(b(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.89 - -19.79. What is the nearest to o in 3, -0.03, -0.4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.988, 4\/19, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 815 - 531. Let f(n) = n**3 + 3*n**2 - 7*n - 1. Let d be f(5). Let r = o - d. What is the greatest common divisor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -140, -598, -1360, -2426, -3796?\n\"Answer: -152*l**2 - 2*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170797 to the power of 1\/2, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*y - 73*y - 176*y - 137*y.\nAnswer: 224*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 - -5) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 4*m + 13*g - 8716, -m + 2169 = -3*g. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86784.5 days in seconds?\nAnswer: 7498180800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 3:19 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*h + 54 - 164 + 55 + 55.\nAnswer: -276*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1, 7\/2, -0.2, -0.052, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxrs when four letters picked without replacement from {x: 3, j: 1, r: 2, d: 5, s: 1}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9531916 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/((-2829)\/(-656)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -198*r**5 + r - 367.\nAnswer: -3960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 1122f4?\nAnswer: -1122f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -464*l**3 + 12*l**2 + 12*l - 30. Let u be d(7). Let o = -79510 - u. What is o rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477524287 to the power of 1\/2, to the nearest integer?\nAnswer: 38439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1107, -12\/25, -5, 2\/3, 5\/6?\nAnswer: 0.1107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 8) in base 3?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/98766 and -8\/1179.\nAnswer: 12938346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 6*u - 15. Calculate q(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/140 and -37\/1267.\nAnswer: 25340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -426 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6522 is divided by 227?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 23 = -5*t. Let f = -9 - -9. Suppose -3*p + t*p = f. Is 0 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -638a9a (base 12) to base 6\nAnswer: -53355114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37087 is divided by 181.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/15 - 904*i**3\/15 + 8622*i**2\/5 = 0. What is i?\nAnswer: -479, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 0.01, 16, -7\/6, 0.043, -2.\nAnswer: -2, -7\/6, 0.01, 0.043, 5\/2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/5 + 4432*x**2\/5 - 2455328*x\/5.\nAnswer: -2*x*(x - 1108)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, m: 1, j: 11}. What is prob of picking 3 f and 1 m?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 89\/6 (b) 0.3 (c) -3\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4790 is divided by 70.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 451348, 451346, 451344, 451342, 451340, 451338?\n\"Answer: -2*p + 451350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*4 + (-72)\/(-18). Let w be 2\/((-2)\/1)*-3. Solve n*c - w*c - 20 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5213*z - 4300720. Give t(825).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from zzzaatzzzttz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -126, -4\/7, 2\/3, 0, -0.4, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 259976 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a millennium?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*h - 0*h + 5*g, -g = 2*h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 20 (b) 0.5 (c) 1\/3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 16 = -6*y. Suppose -1 - y = -p. Suppose -p*o + 59 = 3*x, 3*x - 18 - 53 = o. What is the greatest common divisor of x and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 30 - 6*c - 103 + 4*c + 4*c**2 to the form r + v*c + q*c**2 and give r.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 0, 271, 4, -6 in increasing order.\nAnswer: -6, -4, 0, 4, 5, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 1 - 1)*(p + 2*p + 0*p) + 2*p + 0*p - 4*p)*(1 - 2 + 0) to i + f*p and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfrjrnxffjffxjr. Give prob of sequence xxr.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116710446945 - 16105949043545\/138. Let r = -671272 + v. Let l = 5\/92 - r. Find the common denominator of l and 69\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:17 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 10 - 3*s**3 + 28.\nAnswer: s**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35260103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790845781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006297 to six dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 425337791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z + 1\/12*z**5 + 0 - 1\/120*z**6 + 9*z**2 - 5\/6*z**3 + 1\/8*z**4. Is s(3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ynyynnnynyyyyy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-16) - 0)\/(27\/(-12)). Which is the smallest value? (a) -3 (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14826 + -14802. What is the highest common divisor of 11048 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5985*a**2 + 11905*a**2 - 5917*a**2. Let p(k) = -3*k - 11. Give u(p(f)).\nAnswer: 27*f**2 + 198*f + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91447 (base 10) in base 12?\nAnswer: 44b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3954 - 3954 - 55629*w.\nAnswer: -55629*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/4 - 101*q**3\/6 + 709*q**2\/2 + 40*q - 8. Differentiate h(l) wrt l.\nAnswer: 6*l - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.99 - 1.99. What is the nearest to 0.1 in 3, d, 16?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 90*r - 84. Let w be j(31). Sort 5, -3, -1, w in ascending order.\nAnswer: -3, -1, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**5 - 80*y**4 + 315*y**3 + 80*y**2 - 320*y = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11788, 39, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)\/(y**(-19\/5)*y) assuming y is positive.\nAnswer: y**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 7*v + 4 = 0. Suppose 2*f - v = -0*f. Suppose -2 = -g - 2*z + z, -2*z + f = 0. Put g, 4, 0, 5 in descending order.\nAnswer: 5, 4, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4372534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178756 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:42 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -751\/16, 4, 1\/6, 16\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 0, 0*f - 3*f = -5*c - 55. Suppose 2*j - 4*r = -2*r + 54, 0 = -3*r - f. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/((-357)\/98) - 5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + 12. Let v = -67 + o. Let b(s) = -s**2 - 9*s + 3. Determine b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.68 + 1.32. Which is the nearest to -1\/4? (a) -0.5 (b) 0.3 (c) i (d) 29\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440 = 359*i - 395*i. What is the highest common factor of i and 3170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2 + 1 - 1. Let v(p) = 20*p**2 - 49*p**z - 20*p**2. Let x(g) = -2*g. Determine x(v(f)).\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 + -4 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -4, -198, 1\/5?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31665, 64099, 96533, 128967, 161401?\n\"Answer: 32434*c - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 29*w + 205. Determine x(-11).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -4 - 1\/300*d**5 + 0*d + 0*d**3 - 9*d**2 - 1\/15*d**4. Let h(x) = 0. What is x?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10463*d**2*l**4 + 111275717*d**2 + 4800*d*l**4 wrt l?\nAnswer: 41852*d**2*l**3 + 19200*d*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*u + 38 = -5*b, -4*b + 48 - 277 = 44*u + 51 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-24) + (-4522)\/1904?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362823952.\nAnswer: 2, 22676497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493 = 16*n + 45. Find the first derivative of -n + 0*w**3 - w + 0*w**3 + 11 + 5*w**3 - 53 wrt w.\nAnswer: 15*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*((-54)\/(-4))\/((-30)\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 17 + 18 + t**2)*(-t**2 + t - t) in the form d*t**4 + i*t**2 + k + h*t**3 + s*t and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 477 = -5*g, -2 = -2*g - 0. Let s = 118 + t. Which is the third smallest value? (a) -2\/15 (b) s (c) 0.3 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqvvreqeeqqevqv. What is prob of picking 3 e?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75358 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 128 = 23*b - 129. Calculate the remainder when 6047 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 6*q + q + 53, i + q - 37 = 0. Suppose 3 = -m - 4*f, -2*m - 3*m = -4*f - i. Solve g + 3*g - 5*r = -12, 3*r = -m*g + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -438.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 134, -10289 in ascending order.\nAnswer: -10289, -5, 5, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 13 = n. Suppose t - z = n, 3*t + t = 5*z + 49. Does 27 divide (-706)\/(-8) - (-12)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = -26*r + 7*r - 2*j - 42, 0 = 7*r - 22*j + 18 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*s - p - 0*p, 9 = s + 3*p. Suppose -3*i = -3*v + 51, 3*v - 4*i = -s*i + 66. Let l(r) = 5*r + 12. Let j be l(-2). Solve -j*q = 3*q - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 2*u + 4*u + (0 - u + 0)*(0 - 4 + 6) - 13 + 13 - 9*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996246981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-1 + sqrt(832))**2 + -2 - (-4 + (1*sqrt(832) + sqrt(832) + sqrt(832))**2)) + -3 - (4*sqrt(832)*-1 - (3 + -1 + sqrt(832) + sqrt(832)))**2).\nAnswer: -36610 - 208*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + t**2 - 6*t - 7. Let m = -2393 - -2391. Determine v(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:41 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-9 + -22 + -4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p + p + 0*p)*(-2 - 1 + 5) - 2*p - 2*p + 3*p)*(-4*p**2 + p**2 + 4*p**2).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66467 divided by -4873?\nAnswer: -66467\/4873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -61, -248, -613, -1216, -2117?\nAnswer: -3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 - 5 = 0. Let q = -3 - g. Suppose p - 1 = q. Solve 3*i + p + 5 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let y be b(-3). Suppose y*c + 616 = 25*c. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -589\/3, -2, -0.038?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + f - f)*(3 + 1 - 3) - 258*f - 102*f + 2 + 221*f to the form b + l*f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1299749890.\nAnswer: 2, 5, 129974989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -12 + 25 - -14 - 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6390\/1477 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0 - y**2 + 1\/36*y**4 - 1\/90*y**5 + y + 1\/9*y**3 - 1\/180*y**6. Let i(g) be the first derivative of z(g). Factor i(p).\nAnswer: -2*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, -3, -83, -271 in decreasing order.\nAnswer: -3, -4, -19, -83, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 69.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - g**2 + 4*g. Determine b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/10276 and 97\/654728.\nAnswer: 4583096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 368326*z**2 + 736649*z + 368324.\nAnswer: (z + 1)**2*(z + 368324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = -x, -3*t = -5*x - 1 - 2. Suppose -t*b + 5*n + 55 = -b, b - 23 = -2*n. Calculate the greatest common factor of b and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*(-49)\/49?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 33*s - 8 - 1046*s**3 + 31*s - 5 to the form a*s**3 + t*s + q*s**2 + v and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 70537.57km?\nAnswer: 70537570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 + -204. Let b = -68 - -78. Suppose b*y - 131 - 2*y**o + 248 - 129 + 4*y**2 = 0. Calculate y.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -125.85. What is the smallest value in x, 0.4, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32215554?\nAnswer: 2, 3, 7, 255679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/187 != -6\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 5*j - 2*j)*(-207*j - 466*j - 650*j).\nAnswer: 1323*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*i = -250, 3*i = 2*d + 323 - 83. Is 2*-3*d\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1343\/2 + 2767\/4. What is the common denominator of p and -61\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 5, 3 in descending order.\nAnswer: 41, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + g + 12 - 135, 0 = -4*g + 12. Suppose -2*n = 6, -5*l + 4*n - 8 = -o. Solve 0 = l*f - f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/201 and 101\/10050.\nAnswer: 10050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55100 is divided by 6118?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575597*s**3 - 287798*s**3 - 287794*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146631 is divided by 36626.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2825 by 5.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (416\/39)\/2 + -5. Let r be 2\/(-7) + 1\/3. Sort -0.3, m, r in ascending order.\nAnswer: -0.3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 732845*o**2 - 3*o. Let r(u) = -3*u**2. Calculate w(r(l)).\nAnswer: 6595605*l**4 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(833) + 0 + sqrt(833))*5 + 0 + -4)**2.\nAnswer: -560*sqrt(17) + 83316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14955010 rounded to the nearest ten thousand?\nAnswer: 14960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 21 = 2*u, -4*u = 4*c - 5*u + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:52 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4210 and 47198310.\nAnswer: 47198310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 4*d - 8*d + 47*d**2 to the form h*d**2 + n*d + t and give h.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7874 (b) -0.2 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-11 - -5) + 2 - -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32000 and 750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + 5 + (-6*(sqrt(1900) - (-1*sqrt(1900) - sqrt(1900))) + sqrt(1900) + sqrt(1900) + 1 + sqrt(1900) + -3)**2).\nAnswer: -2565042 - 3600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431852826.\nAnswer: 2, 89, 8044117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57995982*v**4 - 37049633*v**2?\nAnswer: -1391903568*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 791515*y**3 - 893938 wrt y.\nAnswer: 2374545*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10313325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*w + 96*w, i + w - 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((-8 - -4) + -2 + -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -590 + 686. What is the greatest common divisor of q and 1824?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 98283\nAnswer: -1\/98283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 17, 5, -5.\nAnswer: -116, -5, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/56*2\/(-4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -28, -24\/41 in decreasing order.\nAnswer: 1\/7, -24\/41, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002589369601 rounded to 6 decimal places?\nAnswer: -0.002589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61703255.\nAnswer: 5, 89, 313, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 3*w + 1. Let x be r(3). Let n(p) = p**2 + p - 4. Let b(f) = 1. Let u(z) = x*n(z) + 4*b(z). List the prime factors of u(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 108*r - 213. Suppose -211 = -18*m - 175. Let u be o(m). Factor 5\/8*b**u + 1\/8*b**4 - 1 - 1\/2*b + 3\/4*b**2.\nAnswer: (b - 1)*(b + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1856 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/3, 0.057, -0.4 in descending order.\nAnswer: 1\/3, 0.057, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1465897685.\nAnswer: 5, 7, 197, 433, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6)*-10)\/((-17892)\/(-2556)*2\/21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(4\/13)*q**5*q*q**(1\/4)*q*(q\/(q\/q**0*q*q))\/(q**(-1)*q)*(q\/(q*q**(-1\/4))*q*q)**(-2\/127) assuming q is positive.\nAnswer: q**(33421\/6604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:06 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*r**3 - 4*r + r - 30087*r**3.\nAnswer: -30570*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = m - 0*y - 2, 0 = 5*m + 4*y - 9. Let d(f) = -4*f**2 + 3*f - 2. Let w be d(m). Sort 0.27, -5, w in increasing order.\nAnswer: -5, w, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78428453.\nAnswer: 78428453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -33. Is 28\/(-42) + 74\/i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -3.77\nAnswer: 0.1885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 75*l**2 + 38*l + 6. Let a be s(38). Solve 161*m = 163*m + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5516527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 58706061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12953169*c*l**2 + 266325*l**2 - l - 6 wrt c?\nAnswer: 12953169*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 7*x + 169 = 0. Let t = 55 - 14. Suppose -3*k + t = -x. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296649191?\nAnswer: 3, 67, 307, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 7, n: 9}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y**3 + 4*y**2 + 23*y.\nAnswer: -30*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2543 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2038*c**3 - 9111*c**2 - 8854*c + 1358.\nAnswer: -12228*c - 18222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*m - 3194 = -0*m, q = -5*m + 785. Suppose 0 = 21*o - 41*o + q. Solve -a + o = 7*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 1232742825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10681.23 centuries in decades?\nAnswer: 106812.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29b - 1?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 853.\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14553\/(-13426))\/33*(-20)\/45.\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*v - 14. Factor -c**4 + 2*c**3 - v*c**3 + 4*c - c**4 + 2.\nAnswer: -2*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51\/2 - -25. Let p = 3 + 1. Suppose -5*a = -4*m, 5*m = p*a - 0*a. Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 8*s - 487. Let v = s - 50. Calculate the remainder when 154 is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 406*t - 416*t. Let n = 0.05 + -3.05. Are t and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8357, -2228, 3901?\nAnswer: 10030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/5)\/(2\/15). Let w(j) = 4*j - 5. What are the prime factors of w(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 11*z - 22*z - 1.\nAnswer: -22*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywwabdyaaaafwwbbay. Give prob of picking 1 y and 1 w.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000613206 rounded to 5 dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 6:30 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -436 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 - 1.4. Let m = 415 + -7883\/19. Which is the fourth biggest value? (a) s (b) m (c) -0.1 (d) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**7\/1680 - i**6\/120 - 11*i**5\/240 - i**4\/8 + 29*i**3\/3 + 26. Let x(u) be the third derivative of k(u). Factor x(o).\nAnswer: -(o + 1)*(o + 2)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3558123, -7116143, -10674163, -14232183?\nAnswer: -17790203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 6, 0 = -4*x + 2*x - 4*p - 4. Let t be (-2 - 0)*(-30)\/4. Let j = -12 + t. Solve -2*f - x*u - 7 = -1, 0 = 2*f + j*u + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose h = 4*n - 15 + 3. Suppose 22*p - 2*p = 126 + 54. What is the lowest common multiple of n and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = c - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-162)\/44)*9*(-8)\/16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1377 + 2289. What is the greatest common divisor of f and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 3*a - 1. Suppose 5*c - 10 = 3*t - 4*t, 2*t - 7 = 3*c. Suppose 0 = -t*h + 2*r - 2 - 1, -4*h = -5*r + 16. Let p be (-8)\/2 + h*7. Determine k(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-4)\/30 + 8589\/630). Let q = 18 - 12. Let u = j - q. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvxhnvjx. What is prob of sequence cvhj?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 9. Give i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1498*p - 1496*p = 5*b - 18, b + 3 = 3*p for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - s = 27, -5*s - 16 = -3*n - 13. Let v(c) = 2015 - n*c - 2015. Let r(y) = 2*y**2. Give v(r(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzrzzzzzr. Give prob of sequence rzzz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*3\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-231*d - 20 - 20 + 240*d - 3)*(-3 + 5 + 4).\nAnswer: 54*d - 258","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10018 = 550*m + 4282 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -1155?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3. Let s(n) = -7*n**3 + 2*n**2 + 5*n - 5. Let a(g) = 3*g**3 - g**2 - 2*g + 2. Let w(y) = 10*a(y) + 4*s(y). What is 5*l(t) + w(t)?\nAnswer: -3*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2837770260 rounded to the nearest one million?\nAnswer: -2838000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000 = 65*y + 35*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1023 - 1011. What is the third derivative of 2*j**4 - 47*j**5 - s*j**2 + j**4 - 4*j**2 + 2*j - 10*j**2 wrt j?\nAnswer: -2820*j**2 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f**2 + 4875*f + 1218 = 0.\nAnswer: -406, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 8. Let d be ((-6)\/36)\/((-1)\/(-10)). Is d greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2323, -9256, -20799, -36952, -57715, -83088, -113071?\nAnswer: -147664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2146352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 114*n**2 - 38633*n - 37461. Give m(262).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 6*m - 78 = 5*q, -15 = -5*q - 30*m for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*h = -113 + 972 + 327 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -36c?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 77603 (base 9) to base 11\nAnswer: 35786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -683 - -1340. Let c(k) = 2 + x*k + 11 + 8 - 15. Is c(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (431*i**2 - 103503*i + 103503*i)*(0*i**2 - i**3 + 0*i**2).\nAnswer: -431*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.4 + -0.01.\nAnswer: -26.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 132*t**5\/5 + 34322*t**4\/5 + 2298772*t**3\/5 + 1757390*t**2 + 6620672*t\/5 + 98304\/5 = 0. Calculate t.\nAnswer: -128, -3, -1, -1\/66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00273049 to five decimal places.\nAnswer: 0.00273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*710378\nAnswer: -21311.34","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -92.982 + -6.\nAnswer: -98.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 682, 709, 762, 847, 970, 1137, 1354, 1627?\nAnswer: 1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2057))*-3 - (0 + -1*sqrt(2057)))**2*3.\nAnswer: 24684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13543103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.09 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*t + t + 458, 454 = -t - m. Let p = t - -455. Solve 0 + 1\/2*l + 1\/4*l**p + 5\/4*l**4 + 7\/4*l**2 + 9\/4*l**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/7 + 18*d**3\/7 - 408*d**2\/7 + 1888*d\/7 - 384.\nAnswer: 2*(d - 4)**3*(d + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*w = -2*w - 40, -n - 3*w - 2 = 0. Solve 18 = 2*s + 2*d, 0 = 6*s - 4*s - 3*d + n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385 divided by 201\nAnswer: 385\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31651.81cm to meters.\nAnswer: 316.5181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 46 = -5*u - 491, 3*s - 5*u + 325 = 0. What is the tens digit of (s\/4)\/(-2 + 11\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*z + 18 = -746*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 4*i - 1. Suppose -7 - 23 = 5*d. Let l = -479 - -530. Let x be (4\/d + -2)\/((-34)\/l). Give h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/125?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 3890880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8984210 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 5. Is 13 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 26*q**2 - 269*q\/2 - 161.\nAnswer: -(q - 46)*(q - 7)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34245428*x - x**2 + 34245428*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000853224556 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-440)\/32*((-3)\/2)\/((-354)\/(-944)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 times 572037?\nAnswer: 157882212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9311.4 + 9311. Let q = -6 - -8. Let s be ((-3)\/q)\/(-4 - -2). Which is the closest to -1\/4? (a) s (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-1091.\nAnswer: -43.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13825140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/2 and -29\/150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_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 v(f) be the third derivative of 0*f**3 - 2\/15*f**6 + 11\/24*f**4 - 2*f**2 + 0*f + 0*f**5 - 3. Find the second derivative of v(d) wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(28)\/sqrt(64) + ((sqrt(84)\/sqrt(4))\/sqrt(3) - sqrt(7)) + 3).\nAnswer: -9 - 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1725 is divided by 290?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*3\/(-42))\/(-99*(-296)\/(-4662))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrcrrrrrrr?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1315884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(0*x**3 + 2*x**3 + 66024*x - 66021*x + 314*x**4).\nAnswer: 942*x**4 + 6*x**3 + 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + (5 + sqrt(968) + sqrt(2))**2 + -4 + 2)*-6.\nAnswer: -6452 - 1380*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3201 divided by -33\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (40 - (88 + -18)) - -94.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194674109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 195\/8*f - 639\/4 + 3\/8*f**2 = 0?\nAnswer: -71, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*d + d + 3*g, -34 = -2*d - 4*g. Let k be 4\/(-14) + 48\/d. Suppose 0 = -k*s + s + 79. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 52*a - 6. What is x(-26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 21. Suppose 0 = -d + 4*f, s*d + 2*f = -5*d - 22. Let w be (d\/2)\/(3\/(-6)). Solve k + w = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639303 is divided by 1742.\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 25. Let s = p - -36. Suppose -2*c + 44 = 4*u, -88 = -s*c - u + 2*u. Let x(n) = -n**2 - 11*n. Let l(a) = -a. Determine c*l(y) - 2*x(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(34) + sqrt(544)))\/(2*sqrt(98))*-6.\nAnswer: 30*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-7\/8))**49*(m\/(m\/m**(-20))*m)**(-1\/58))**(29\/5) assuming m is positive.\nAnswer: m**(-9871\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1971 is divided by 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*g**3 + 66*g**3 - 48*g**3.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -15) + (-11 - (-30 - 7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60376278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7354*l - 8 + 8.\nAnswer: 7354*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, c: 2, z: 1}. Give prob of picking 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13))**(-6\/35)\/(v**(-1))**45 assuming v is positive.\nAnswer: v**(20487\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -5, 4.\nAnswer: -79, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 21*c**2 + 49*c - 400. What is the thousands digit of x(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*z - 3071 + 163, 2*z + 5*j - 1470 = 0. Let o be (-3885)\/(-28) - (4 + (-84)\/16). Suppose -o = -5*w + z. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - 292\/(-32))\/1 and 6\/10 + 151\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 15*q**2 - 16*q + 12. Suppose 0*w + 3*w - 102 = 0. Calculate the least common multiple of w and h(16).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdxudpxub. What is prob of sequence px?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.1 + 46. Let q = 1.6 - f. Put -1\/2, q, 0.4 in descending order.\nAnswer: 0.4, q, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 5*j**2 + 1. Suppose -2*b = -4*b - 8. Let p be m(b). Is (p + 1)*(-10)\/(-15) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from ffgfegfggsvgfgggg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115773 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0*r - 2 - 1599999*r**2 + r + 0*r. Let p be w(-2). What is p rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199065 - -392478. Let r = o - 193721.634. Let d = 309 + r. Round d to two dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (450\/(-8))\/1 - ((-567)\/1260 + 92\/(-115))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*c = -203*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80292947?\nAnswer: 7, 11470421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 28*d - 38 = 249 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3\/s*s\/(((s\/(s**3\/s))\/s)\/s*s))\/((s**(1\/7)*s)\/(s**(4\/3)*s)))\/((s\/(s\/(s*s**1*s))*s)\/((s\/(s**(-1)*s))\/s))**0 assuming s is positive.\nAnswer: s**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*5.0447165\nAnswer: 0.10089433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 - 2*s + 1. Let c(v) = -v**3 + 8*v**2 + 9*v + 6. Let n be c(9). Let x = n + -5. Calculate b(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*g + 560*g + 7287 = 236*g + 23556 for g.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*y = -22*y - 40*y + 954 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -92*d**2 + 282*d - 18. Let n be h(3). Which is smaller: -45\/64 or n?\nAnswer: -45\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2630271 - -81393.\nAnswer: -2548878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtetesjhj. What is prob of sequence hsje?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Suppose 5*a - 3*f + 0*f - 22 = 0, 0 = f - s. Solve 3*l = -a*k + 6*l + 12, 2*l + 7 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 27553*g - 82657. What is b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = 7*v - 169 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 + 29*u**2 - 9*u + 11. Determine l(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**7\/2520 - b**6\/144 - b**5\/30 + 3*b**4\/8 - 2*b**2. Let l(u) be the second derivative of k(u). What is l(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44838.\nAnswer: 2, 3, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p - 3*p - 3*p)*(-5 + 2*p - 2 + 0*p) in the form t*p + d + s*p**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7*r - 3*r = -572, 5*x - 4*r = 1454. Suppose v = -3*d + x + 17, -2*v - 296 = -3*d. Let a = 146 - d. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 0*c**2 - 3\/2*c**4 + 7*c - 1 + 5\/3*c**3. Let h(r) = -7*r**3 + 6*r**2 + 8. Give -6*b(g) + 5*h(g).\nAnswer: g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e5e - -14e?\nAnswer: -4d10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-18)\/9*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**5\/20 - y**4\/24 + 2*y**3\/3 - 5*y**2. Let u(s) = -s**3 + 7*s**2 + 2*s - 9. Let p(w) = -9*t(w) - 4*u(w). Give p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115360 and 10?\nAnswer: 115360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50096598 - 3*q**2 + 50096598.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7599125 millilitres to litres.\nAnswer: 0.0007599125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27975814 + -6?\nAnswer: -27975820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 5\/6*f**3 - 2\/5*f**5 + 3\/8*f**4 - 3\/4*f**2 - 1\/2*f - 21. Determine a so that n(a) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*k - 3 = 0, 17 - 3 = -2*w + 4*k. Let u = -20 - -12. Let m = w - u. What is the nearest to 0.1 in 2\/11, -3, m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -364*u**4 - 750*u**3 + 217729*u**2 wrt u?\nAnswer: -8736*u - 4500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.19 - 0.21. What is the closest to 1\/3 in 1, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 68*j\/7 + 578\/7.\nAnswer: 2*(j + 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 5082.\nAnswer: -1\/1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwizzzzwi. Give prob of picking 2 w and 2 i.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 68\/((-2)\/3 + 1). Is 15 a factor of (-4 + c\/16)\/(3\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**4 + 2624*f**3 + 10348*f**2 + 12888*f + 5141. Let o(k) = 5*k**4 + 874*k**3 + 3449*k**2 + 4296*k + 1714. Let d(b) = 7*o(b) - 2*t(b). Factor d(c).\nAnswer: 3*(c + 1)**2*(c + 2)*(c + 286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*o + 74*o - 1016*o.\nAnswer: -1469*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64387840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -457 + 483. Calculate the smallest common multiple of 117 and h.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157 - -1411\/9. Which is the nearest to 1? (a) u (b) -33 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*u)*(u**2 + 3*u - 3*u) + (u - u - u**2)*(u + 3*u - 2*u) - 68*u**3 + 4*u - 4*u + 2*u**2 + 2*u**3 - 2*u**2.\nAnswer: -70*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238416 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69, 123, 177, 231?\n\"Answer: 54*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-19 + -4))\/(((-1 - 0)\/1)\/1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, -2 in decreasing order.\nAnswer: 8, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1391406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*b**5 - 3*b**4 + 27*b**2 - 44*b - 1 wrt b?\nAnswer: 3660*b**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 128, 130, 122, 98, 52, -22, -130?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 207.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08416338315 rounded to six decimal places?\nAnswer: -0.084163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 649365 and 1440.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (46 - (4 + -2)) + 2. Suppose 0 = 5*y + 2*d + 45, 3*y + 7*d = 2*d - j. Let a be (6\/(-4))\/(1\/(-2)). Sort a, 4, y.\nAnswer: y, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1395)\/(-310))\/(18\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -982, -1000, -1020, -1042, -1066, -1092?\n\"Answer: -c**2 - 15*c - 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 - 82 - 86 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31452 + 46300. Calculate the highest common factor of 116 and k.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 + 887438*c\/7 - 380328.\nAnswer: -2*(c - 443716)*(c - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**5\/60 + 7*w**4\/24 + 7*w**3\/6 - 5*w**2. Let k be f(7). What is the highest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331b57 (base 14) to base 4\nAnswer: 12213101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51232 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1300) + 1)**2*-3 - (-3 + sqrt(117) + -1 + 5)**2.\nAnswer: -4126 - 366*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 41668?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/3 - (-8 - -10). Solve 0 = i + f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/60 + (-14)\/42.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -78*f + 5. Let b = -211 + 210. Is 16 a factor of v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1711 + -285. List the prime factors of g.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p - 16878 = -56*p + 5728. What is the remainder when 536 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1604786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.2 in 2, -3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1683*j**3 - 204?\nAnswer: -5049*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 12*s - 15. Let h be b(-10). Suppose 5*y - y + 2*u - 280 = 0, h*y - 350 = 4*u. What is the highest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10142 and 615?\nAnswer: -6237330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let c(k) = -k + 4. Let n = 6 - 7. Let q(m) = n*c(m) + 2*w(m). Let v be q(-8). Put v, -3, 2 in increasing order.\nAnswer: -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -78 + 78?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 17752?\nAnswer: -17752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*o - 566*o - 22*o + (1 + 5 - 4)*(2*o + o - o))*(-59*o + 59*o + 25*o**2).\nAnswer: -18425*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 - -8?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -223, -2016, -6883, -16360, -31983, -55288, -87811, -131088?\n\"Answer: -256*w**3 - w**2 + 2*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*-2 - sqrt(972))**2 + sqrt(972) + 0.\nAnswer: 18*sqrt(3) + 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*y**4 - 76*y + 77*y**2 + 76*y wrt y.\nAnswer: 1176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -38. Let a be ((-3)\/(-7))\/(3\/(w\/2)). Solve -a*i - 4*v = 17, 3*i + 0*v = -v - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -4. Calculate the greatest common factor of s and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 0*b**5 + 0*b + 0*b**4 - 3\/7*b**7 + 9 + 0*b**2 + 0*b**6 - 10\/3*b**3. Find the third derivative of q(l) wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-1 - (0 - 1)). Suppose -21 = -0*w - n*w. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2252*h. Let w(c) = -88 - 91 + 265 - 86 + 2*c. Give w(i(r)).\nAnswer: -4504*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 6346. Let r(n) = 6790*n. Determine r(f(g)).\nAnswer: -13580*g + 43089340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -50*1\/(-3) - (42\/(-18) - -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2531853, 10127560, 22787071, 40510386?\n\"Answer: 2531902*z**2 + z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*q + 6*q - 12, -2*q - 6 = 5*w. Suppose -3*a - 3*b = -b - 25, q*a = 2*b. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158762 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27065, -26991, -26927, -26879, -26853, -26855?\n\"Answer: -m**3 + m**2 + 78*m - 27143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 79 = -2*u. What is the lowest common multiple of u and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+0.08700489\nAnswer: -4.91299511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/44482368 and -37\/3381.\nAnswer: 311376576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1621477 + -1455?\nAnswer: 1620022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1751045.4 months to centuries.\nAnswer: 1459.2045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**9\/252 + 7*u**5\/60 + 2*u**3 + 4*u**2. Let w(k) be the first derivative of c(k). Find the second derivative of w(f) wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/348 and -59\/609?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 + 120 + 2 + -7 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/149 + 293\/745. Let k = 59 - 62. Let i be (k\/(-30))\/((-6)\/48). Which is the third biggest value? (a) -1 (b) m (c) -1\/8 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.34 + -29. Let x = -8387.125 - -8387.46500136. Let k = x - v. Round k to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.323*-2.3576\nAnswer: 0.7615048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*1217\/5800 - (-438)\/(-1095) and -31\/5220.\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from npxnpnnxnnnnppp?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 759*o**2 - 2*o + 765.\nAnswer: 1518*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:08 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -149 + 162 + 2 + -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-2))\/(-5))\/(21\/84)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:48 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n**(2\/11)*n)*n)\/n**6)\/(n\/n**(6\/5)*n*n*n**8))**35 assuming n is positive.\nAnswer: n**(-5383\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 6*l**2 + 17*l + 7. Let n be j(-8). Let v be -1*n\/((-4)\/20). Put v, -2, 1 in ascending order.\nAnswer: v, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 6*s = 9*s - 12, -10*v + s + 31 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -110426 + 3400?\nAnswer: -106026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2001\/8 - -18485\/72. Let j = 13330 - 240085\/18. What is the common denominator of j and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7324)\/7*(-28)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 393 or 389?\nAnswer: 393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161287448?\nAnswer: 2, 7, 229, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 12 + b - 3)*(2*b**2 + 0*b + 0*b) to r*b**3 + f*b + l*b**2 + h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/16 - -1) + (-10)\/((-8160)\/(-18036)). What is the biggest value in s, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + u - 89 = -216, u + 29 = 2*c + 2*u for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(931) + 2)**2 + sqrt(19))*5.\nAnswer: -9350 - 290*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/13 (b) -1\/11 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(6\/17))**(-15\/2)*((f\/(f**(-1\/8)*f))\/f)**12 assuming f is positive.\nAnswer: f**(-261\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 345 - 5863\/17. Let s = 0 - 1. Let o = s + 2. Which is the closest to -1? (a) l (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*r**2 + 293*r - 293*r)*(162 + 34 - 70) as f + y*r**2 + w*r and give y.\nAnswer: 2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c\/c**(2\/3))))**44\/((c**(3\/4)*c)\/c**(2\/5)))**(-39) assuming c is positive.\nAnswer: c**(-44707\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2))**40\/((z**(23\/3)\/z)\/(z*z*z**25*z*z*z)) assuming z is positive.\nAnswer: z**(250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 717 - 201. Suppose -4*c + 0*j = -j, -4*j = 0. Suppose -5*l = 3*z - 975, -l + c*z = -4*z - r. Round l to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 - 6*t + 139. Let m be d(6). What is the fourth smallest value in -0.4, 1\/10, m, 5\/6, 0?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -16*k**3 - 6*k**2 - 8. Let f(v) = -16*v**3 - 7*v**2 - v - 9. Let d(b) = 3*f(b) - 4*y(b). Is d(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -19. Suppose v = -5*y + 17 - 7. Suppose f = -y*m + 5, 0 = -2*f - 5 + 7. Sort 4, 1, m.\nAnswer: 1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158953532 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 1580, 13\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113471\/30 - -3782. Find the common denominator of -53\/45 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1\/8*z**4 + 0*z**5 + 0*z + 0*z**6 + 0 + 0*z**3 - 2*z**2 + 1\/105*z**7. What is the second derivative of f(r) wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -955, -952, -947, -940, -931?\n\"Answer: t**2 - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 2 - 102031*c**2 + 102056*c**2 + 2*c**3 to s + t*c + i*c**2 + l*c**3 and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 3*a + 1. Let s be d(-2). Let f = s + -5. Let j(i) = -i - 3. Give j(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455372378 and 846?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 126*w**3 + w**2 + w - 2. List the prime factors of g(1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4400 and 293325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138 - -143) + 0 + 26?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 4049 - 8*y**2 + 4049 to the form k + r*y + b*y**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99*d**2 + 129804*d.\nAnswer: 3*d*(33*d + 43268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 237492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -112, -6, 50 in ascending order.\nAnswer: -112, -6, 38, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 1, t: 1, o: 1, n: 1}. What is prob of sequence nk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 43316\/(-5831) - 52\/(-7). Factor 3\/7*s**4 + 0 + b*s - 45\/7*s**2 - 6\/7*s**3.\nAnswer: 3*s**2*(s - 5)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -4\/3, 0.03, 0.1, 1\/40?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110 (base 4) in base 16?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(9\/(-12)) - (1 - 6). Let q(i) = 580*i - 80. Let r be q(k). What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 439202*f + 133821 wrt f.\nAnswer: 439202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.009983 times -0.1\nAnswer: -0.0009983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000302576 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 5*b**2 + b + 9. What is h(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12544 and 69783056?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 76 = -4*p. Let d = p + -14. Suppose -d*a - 1 = 3*i - 3, 3*i = -2*a + 8. Solve -i = -4*q + 2*n - 0, 5*q = n + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - -54840?\nAnswer: 54816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0 - 4) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (6 - (0 + -1 + 14 + -16 + 24))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, r: 3}. Give prob of picking 3 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-25))\/(4*(-4)\/((-140)\/7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75.493 and -20?\nAnswer: 1509.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23.76, -2\/9, -2\/31, -0.4.\nAnswer: -23.76, -0.4, -2\/9, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.04544, 70 in ascending order.\nAnswer: -8, 0.04544, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {l: 4, h: 5, r: 7, i: 2}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -12 - -10) + -1 + -41 - (61 - 51)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 2180634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 1771, 3106, 4441?\nAnswer: 5776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 126 = 3*g. Let h(l) = -l**3 - 8*l**2 + 11. Let p be h(-8). Let x be (-4746)\/g + 2\/p. Calculate the greatest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 10*x - 11. Let t be g(2). Suppose y - t*n - 17 = 0, -15 = y + 3*n - 8. Solve 5*c = 5*k - 15, -k - 3*k = y*c - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 2. Let y be a(-8). Put y, -4, -3 in increasing order.\nAnswer: y, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 186305.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*s + 1972020, 4*s = 3*w + 8*s + 5915984. What is w rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70214 by 174.\nAnswer: 35107\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from bcjgq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7710947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -534185 less than or equal to -534144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002976978 to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 264707672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/5))**(-1\/2))**41)**29 assuming x is positive.\nAnswer: x**(-1189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 9*q**2 + 4*q - 11. Calculate f(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b, -5*u + 17115 = 2*b + 2442. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234\/31 + 49436\/6541. Let q = 1473\/422 + n. Let p = -112.1 + 116.1. Put q, p, -2\/13 in increasing order.\nAnswer: -2\/13, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 78 = -3*o - o, -6 = -3*o. Let v = x - 22. Let u = -61 - v. What are the prime factors of u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/15)\/((-1)\/(-3505)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-5)*10\/4. Suppose -8347 = -3*x + 2*b, -2*b = -4*x - 6*b + 11096. Suppose 5*o = -z*o + x. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 + 4*a - 8. Let c(x) = -4*x**2 + 3*x - 7. Let b(j) = -6*c(j) + 5*t(j). Let z be b(2). Is 0 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1210967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**6*n - 10148*b**3*n + 4*b**2 + 11*b*n - 19*n wrt b?\nAnswer: -480*b**3*n - 60888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 97*f**3 - 6*f**2 - 14*f + 135. Let h(z) = -98*z**3 + 5*z**2 + 11*z - 134. Let j(g) = -5*h(g) - 4*q(g). What is the second derivative of j(t) wrt t?\nAnswer: 612*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17 - 80*d - 365*d**2 + 15*d + d**3 + 181*d**2 + 165*d**2. Determine j(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*d + 101*d**2 - 22*d**2 - 16*d**2 + 4*d**2 to the form o*d**2 + g*d + n and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/6 + i. Let r(y) = -y**2 - y. Let b(x) = 4*x. Let v(f) = b(f) + 4*r(f). Give v(u(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.650167.\nAnswer: 0.1300334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -306 - -433. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*w + w. Suppose 3*b + 7*r - 6 = 3*r, 5*r + w = 2*b. Suppose 4*g - 31 = 5*a - 0*a, -10 = -g + b*a. Is g less than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 0, 2 in ascending order.\nAnswer: -32, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -13. Let l = s + -4. Suppose 0 = -2*c + 2 + l. Solve -a + 0 = c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12 - 14) + 1)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 6 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213847379.\nAnswer: 6653, 32143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 0.49. Let o = 3.89 - f. Which is the third smallest value? (a) 3 (b) -1\/8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.1 + -19. Let r = 2.06 + -0.06. What is the nearest to t in -2\/9, r, 4\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33097.5 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 - 2*y + 1. Let m be h(1). Suppose 39*r = 41*r - 16. Find the third derivative of g**2 - 2*g**m + r*g**4 + 8*g**2 wrt g.\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1067938613 to the nearest integer?\nAnswer: 32679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 39, -0.02 in increasing order.\nAnswer: -0.02, 0.2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 42. Let k = l + -3. What is the remainder when 19 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let u(t) = t**3 - 8*t**2 + t - 2. Let a be 2\/3 - (-56)\/(-12). Let j(n) = a*v(n) + u(n). What are the prime factors of j(8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llt when three letters picked without replacement from {z: 1, t: 3, l: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 - 155. Which is smaller: -24\/13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c502 + 468?\nAnswer: -c067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631782349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -277, -313, -329, -319?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 1.3?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543818790?\nAnswer: 2, 5, 17, 79, 139, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1579 - 1504. Calculate the remainder when 599 is divided by p.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 440.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 - 3*b**2 + 4*b**2)*(-61 - 8*b**2 + 20 - 18 + 5) to j + y*b + i*b**2 + g*b**3 + r*b**4 and give i.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 307*l - 108 = -312*l, 0 = 2*m - 21*l + 424 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 22. Let u = 5\/4 + 9\/4. Which is the closest to q? (a) u (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-8 + (-2 - -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(12480\/48))\/(2\/25)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27720 - 19106. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/18*(-7)\/(14\/(-3)). What is the third derivative of 8*v**2 - 53*v**s + 4*v**2 - 15 + 4*v**2 - 14*v**2 wrt v?\nAnswer: -1272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 6. Let d be r(4). Let x = d + -4. Let a(h) = -h + 3. Let s be a(3). Sort x, s, -1 in increasing order.\nAnswer: x, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -270, -241, -198, -135, -46, 75, 234, 437?\n\"Answer: r**3 + r**2 + 19*r - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30492231013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 952 - 324. Let h = 1206 + a. Is h\/(-2)*(-8)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pppooooopopo?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 57790*t + 115484. Determine v(-2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {f: 3, x: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24328044061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.194182 rounded to 4 decimal places?\nAnswer: 0.1942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1692 and 5828?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8 - (-6)\/((-1080)\/(-95))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -0.5, 3\/5, 1751392?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 734 + -1448. Let w = n + 814. Calculate the greatest common factor of 110 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1356*m**2 - 9*m - 139. What is the ten thousands digit of o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9586073 and 3619?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 3*a**2 + 2*a. Let p(x) = -3*x**3 - 3 - 3*x + 19*x**2 - 14*x**2 + 3. Calculate 5*h(z) + 3*p(z).\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -583\/120408 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 2 + 1 - 5 + 4 in the form i*b**2 + s + p*b and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 5*w - 44*w as u*w + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgiq when four letters picked without replacement from pgvggqpggi?\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 61. Suppose -b*h + 4 = -17. Put 7, h, 0, 4 in descending order.\nAnswer: 7, 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 8*n - 5. Let i be m(-10). Solve 4*v - i = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*w**3 + 130*w**2 - 2620*w - 1800 = 0. Calculate w.\nAnswer: -18, -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**7\/126 + 11*l**4\/4 - 2*l. Let k(c) be the third derivative of n(c). Let j(o) = 2*o**2. Give j(k(u)).\nAnswer: 800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 70 = -2*l, -l - 2*d - 28 = 5. List the prime factors of 4*5\/l + (-15558)\/(-10).\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 101300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*c + 0*c + 17*c)*(3*c**3 + c**3 + 0*c**3).\nAnswer: 164*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -256630000 rounded to the nearest one million?\nAnswer: -257000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 15*c - 16. Let x be s(12). Let h = 30 - 28. Let f = x - h. Calculate the least common multiple of 6 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135523031 (base 6) in base 9?\nAnswer: 5228721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -726719 (base 11) to base 10\nAnswer: -1165492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2850)\/7125)\/((1*-2)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 210495 or 841975\/4?\nAnswer: 210495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/(p*p*p\/(p\/((p\/p**(-2\/19))\/p))))\/p*p)**(2\/33)*(p**16*p)\/(p**(1\/6)*p))**(-34))**(-2\/115) assuming p is positive.\nAnswer: p**(674798\/72105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3836 and 1036.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2694 + -1305. List the prime factors of b.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p**2 - 2. Let g be w(-2). Suppose a = g*a - 14. What is the units digit of (-2)\/7 + 32\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235 - -237. Suppose j*c + 8865 = 11*c. What is the remainder when c is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 + 238 = 56*v - 64*v, -v = -4*y + 27 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*((w\/(w*w**(-1\/11)*w))\/w)\/w*w)**(-37) assuming w is positive.\nAnswer: w**(-1665\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22200002 = -3*l - 2*k, 4*l - 3*k = 9*l + 37000003. What is l rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*k*o**3*p + 7*k*o**3*v + 4*k*o**3 + 8*k*v + 11*o**3*p*v + o**3*p wrt p.\nAnswer: 22*k*o**3 + 11*o**3*v + o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (294*k + 290*k - 589*k - 2)*(-8 + 8 + 4*k).\nAnswer: -20*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 23*a**2 + 1338*a - 336. What is w(-59)?\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 459*t + 31. Is i(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 0.2 (c) 6\/36451 (d) 2 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 238309218 - 90866524. Let r = x + -147442297.000159. Let w = r - 397. What is w rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-19 - (6 + 7 + -28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/50731 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 27.489321s?\nAnswer: 0.0003181634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444019916.\nAnswer: 2, 111004979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 a when three letters picked without replacement from hqaisza?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 241 + -122. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**4\/6 + d**3\/3 + 9*d**2 - 15*d. Let o be c(0). Let y = o - 12. Solve -4*t + 10 = -y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -1, -466.\nAnswer: -466, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 186?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 28*c + 137*c - 570 = 11*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99520839 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006215 to four decimal places.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m - 45 = 0. Let f be (9 + -147)*(-2)\/6. Let v = f - m. Do v and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*k + 2*o + 6, -3*k + 4*o + 17 = 0. Let v be -3 + 2\/(-2)*-1. Let w = v + k. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + f**2 + 12*f**3 - 6*f**3 - 5*f**3 as p*f + a*f**3 + c*f**2 + q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01296672 to 4 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -24. Suppose -2*m - l = -27. Solve y - 4*i + 10 = 0, -2*y + 0*i + 3*i = m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 18*b**3.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let k = 0.9 - 6.9. Sort -0.3, k, 2, z in decreasing order.\nAnswer: 2, z, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 1 + 100*c**2.\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from gvgv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -271, -271, -281, -307, -355, -431, -541?\n\"Answer: -a**3 + a**2 + 4*a - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*n + b - 723 + 1033 = -0*b, 0 = 2*n + 4*b + 90 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4131 + -2388. Does 31 divide 1\/(-4) - x\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 58 - 35 = z, 4*z + 68 = 4*p. Solve 7*h - p + 33 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7953490*z**2 + 8544380*z?\nAnswer: 15906980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, c: 2}. Give prob of sequence nc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*a - 89*a - 1331 + 499 - 1130 + (3 - 4 + 3)*(5*a - 2*a - 5*a).\nAnswer: -5*a - 1962","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993897 equal to 5981687\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 12. Suppose 3*l + 1 - 7 = 0. Let f be k\/((-3)\/(-6)) + l. Put 1, f, 17 in ascending order.\nAnswer: 1, f, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-70)*(-180)\/(-108).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1324234?\nAnswer: -1324242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.3 - -18. Let k = -5.4 + 0.4. Put n, 3, k in descending order.\nAnswer: 3, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(480\/(-135))*(-32)\/(-6)*(-2279)\/212.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44802143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m - 17*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 3 + 3 + 5*n**2 + 28*n + 3 - 13*n**2. Let i be c(7). What is the highest common factor of i and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6791 divided by 4.\nAnswer: 6791\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 57857916*y + 57857919.\nAnswer: -3*(y - 19285973)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/140, -0.5, -614?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14347153255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -173*j + 12520. Determine a(79).\nAnswer: -1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11762 + -11760.5. Sort 2\/9, j, 0.4, -1\/3, 3 in increasing order.\nAnswer: -1\/3, 2\/9, 0.4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3436 (base 9) to base 12\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 857324742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -16. Let q = -14 - -35. Let n = q - m. Calculate the highest common factor of 91 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 2*k**3\/3 - 3*k**2\/2 + 16*k + 3. Let b(u) be the first derivative of w(u). Calculate b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/(-115)*(-57040)\/(-744)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34221312 + 24?\nAnswer: 34221341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -23. Let y be 0\/(-2 + 7)*m. Solve y*r = r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.1907406\nAnswer: 0.7629624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -7. Suppose 5*m - 2*m - 9 = 5*c, j*c = 3*m - 9. Solve 0*k + i = -3*k + 17, 0 = k - m*i + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3522772.\nAnswer: 2, 11, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 372*w**3 - 330*w**2 - 4. Let u(h) = -5952*h**3 + 5280*h**2 + 66. Let z(d) = -33*g(d) - 2*u(d). Find the third derivative of z(j) wrt j.\nAnswer: -2232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1481, -5945, -13397, -23837, -37265, -53681, -73085?\nAnswer: -95477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -aa?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Suppose -7*n + 821 - 828 = 0. Let x(v) = -4*v - 9. Let m(k) = n*x(k) + 5*y(k). Let g(w) = w**2 + 3. Let r be g(0). Calculate m(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3300 rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = -645. Let p = b + 901\/7. Let g = -5255 + 5257. What is the biggest value in p, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1105 + -152.2405. Let f = p - -169.1212. Let r = -18 + f. What is r rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -66*k + 11559. Let f(s) = -47*s + 8251. Determine -17*f(n) + 12*x(n).\nAnswer: 7*n - 1559","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/3, 0.4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13015313502 + -5?\nAnswer: -13015313511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**3\/5 - 32316*u**2\/5 - 48*u\/5 + 517056\/5 = 0.\nAnswer: -4, 4, 10772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*k + 8 + 1, 2*k - 14 = -2*r. Let y(d) = -r*d + 26*d - 14*d. Give y(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) 0.05 (d) -70227 (e) 3\/11 (f) -4 (g) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -18*f - 18. Let v be s(-2). Suppose 559 = v*c - 287. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -4. Let h be ((-21)\/(-4))\/g*-4. Calculate the remainder when (-10)\/(-2) - (h + -1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 + 572*c**4 - 1152*c**3 + 4*c**2 + 1150*c - 576.\nAnswer: 2*(c - 1)**3*(c + 1)*(c + 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/93 + 223\/744. Which is smaller: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 18*z**2 + 180*z + 116. Determine r(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 962661109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-20)\/8)*22. Calculate the common denominator of (14\/4)\/(y\/44) and -26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 4, r: 4, q: 10}. Give prob of sequence erqr.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30430 - 2681?\nAnswer: 27749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.166 and -44094187825.\nAnswer: -44094187825.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7616, -7934, -8256, -8582?\n\"Answer: -2*j**2 - 312*j - 7302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/5176356 and 161\/30.\nAnswer: 25881780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at least as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 0 + 10\/11*p**5 + 24\/11*p**4 + 4\/11*p**2 + 0*p + 18\/11*p**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 - 0\/(-3 + 2) is divided by ((-609)\/(-145))\/(5\/((-900)\/(-27)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - ((13 - (-29 + 19)) + -22).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4280.7 to the nearest one hundred.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**(-1))**(11\/6)\/(o**(-1)\/o*o**(-6)*o*o**(-5)\/(o**(-1\/5)*o)) assuming o is positive.\nAnswer: o**(1097\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*p, 0 = -5*d - 3*p + 4*p + 36. Let h = 2 + d. What is the remainder when (-702)\/(-78) - (-2 - 17) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/126*((-3)\/7)\/(22\/11).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (700\/60)\/(2\/(-6)). Let k be (-500)\/(-14) - 10\/n. What is the units digit of k\/10 - 4\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-45)*-5*(-3)\/(-8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqvvqvzvvppvpvvtt. What is prob of picking 2 p and 2 t?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -52. Let h be i\/(-18)*(-4)\/(-65). Factor -h*n**2 + 0 + 2\/13*n**3 + 0*n.\nAnswer: 2*n**2*(n - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -20\/3, 3\/5?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*j - 1, 2*d - 3*d + 4*j + 19 = 0. Let c = d + 12. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 536, 1136, 1958?\nAnswer: 3002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 3*u**2 - 2. Let b be c(2). Suppose 0*x + x = 5, -2*a + 29 = x. Let l = a - b. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y**3 - 45*y**3 + 19992*y - 59*y**3 - 39978*y + 19986*y.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/15945 and -7\/6?\nAnswer: 31890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-20)\/k**(3\/11) assuming k is positive.\nAnswer: k**(-223\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -160\/11 + 158\/11. What is the closest to -0.01 in -5, -0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 12:41 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*s - 4944 + 44731 = 181*s - 13448 for s.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 93 = 5*g, 3*g + 2*y = 8 + 47. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.2874 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -77 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*h - 41 = 0, -s + 27 = 4*h - 21. What is the highest common divisor of 22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 4*b**2 + 0*b**2 - 3*b**4 + 0*b**2 - 1 to the form z + n*b**3 + c*b**2 + r*b**4 + l*b and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 2 - (518 - 523).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 8. Let z be u(-8). Suppose -307*l + 70 = -302*l. What is the remainder when l is divided by 1\/2*(z + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 12 + 8\/(-2). Suppose -2*d - 4*v - 50 = -r*d, -3*v = -3*d + 27. Suppose 9*y + 95 = d*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from sqtcmtqr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85709302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aawwusuaswaasaaaaaa. What is prob of sequence ssas?\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64\/34 - (-18)\/153. Suppose 1254 = u*y - 80. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/4, -3\/8, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*l - 42, -2*l = -5*a + 2*l + 141. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -282512*p**3*y - 3*p**3 + 3*p**2*y - 38749*p**2 - 8*p*y wrt p?\nAnswer: -1695072*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -9, -2\/15, 2\/51?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*(-54)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)\/(i\/i**(-3)))\/((i*i\/(i**(-2\/27)*i)*i)\/i**(-2\/3)) assuming i is positive.\nAnswer: i**(-755\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*x**2 + 0*x**2 + 8*x**2 - 15*x + 12*x**2 - 39*x**2 as p + g*x**2 + k*x and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/2 + 10811*t**4\/2 + 26976*t**3 - 421740*t**2 - 3307176*t - 5835240 = 0. Calculate t.\nAnswer: -10806, -6, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -137, -221, -315, -419, -533, -657?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*j - 8 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**3 + 3*l**2 - 3*l + 6. Let m(y) = 35*y**3 + 10*y**2 - 10*y + 20. Determine 10*k(r) - 3*m(r).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/23 and -53\/8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2128*y**5 + 928*y**2 + 14223488*y.\nAnswer: 42560*y**3 + 1856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.2 + 9. Let k = u - -1. Let o = -0.04 + -3.96. Which is the smallest value? (a) k (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80, -71, -62, -53, -44, -35?\n\"Answer: 9*u - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*10\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8073855\/7 or 1153407?\nAnswer: 1153407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-409*w + 419*w + 429*w)*(-w + 8*w + 7*w - 8*w).\nAnswer: 2634*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (0 + -21 + 30 - (7 + -2))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*o = -0*o - 4, -2*q + 8 = -o. Let m be 6\/8*2\/(-6). Which is the closest to m? (a) -0.4 (b) 1\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 31 = 2*q, -q + 0*q = -3*s - 18. Let j = s - -7. Put j, -5, 5 in ascending order.\nAnswer: -5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6120a16 (base 11) to base 4.\nAnswer: 221101310332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -13. Let c be (-2)\/((v - -18)\/(8\/2)). Find f such that -24*f**2 - 1\/4*f**4 + 64*f + c*f**3 - 64 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -74. Let l(h) = 4*h**2 - 14*h - 39. What is the units digit of l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95874 and 348783?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45836952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -3 + 17\/2*i**2 + i. What are the prime factors of b(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j - 582. What is r(-76)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j - 4 = 0. Let s be j + (1 - (3 + -3)). Suppose -3*l + s*l + 10 = 0. What is the smallest common multiple of 4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**4 - 8*i**3 + 2*i**2 + 2*i. Let x(d) = d**4 + 8*d**3 - d**2 - 3*d. Let k(v) = -5*r(v) - 6*x(v). Find c such that k(c) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 24*r**2 - 26*r + 6. Let g be (-2 + (-1 - -2))\/((-15408)\/(-468) + -33). Calculate z(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 + 82*p - 197. What is x(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.1. Let r = -0.6 - o. Let t(j) = -j**3 + 8*j**2 - 7*j + 3. Let d be t(7). Which is the closest to 0? (a) r (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + g - 176 = -174, -4*w + 2*g = 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = -2. Find the second derivative of 12*x**4 + r*x + 5 - 2*x**4 - 5 wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 9\/2)*-4. Suppose 0 = g*m + 4*i - 22, 0*m = -m - 5*i - 4. What is the greatest common divisor of m and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45413225 (base 6) in base 12?\nAnswer: 56a215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161*g**3*x**5 + 128*g**3*x + 203*g**2*x - 4087*g - 210048*x**5 + 2*x wrt x?\nAnswer: -3220*g**3*x**3 - 4200960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61683656 to the nearest integer?\nAnswer: 7854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -6. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7166231 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278124 by 22.\nAnswer: 12642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191229985 + -44621.66.\nAnswer: -191274606.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -382*v**2 + 1 - 15*v - 13*v**3 + 15*v + 383*v**2 to b*v**2 + u*v**3 + a + k*v and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2. Let r(d) = 19*d**2 + 2*d - 2. Let p be r(1). Let t(s) = 40*s + 38*s - 78*s - p*s**2. Calculate t(n(b)).\nAnswer: -171*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11023045332 + -2?\nAnswer: -11023045334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/147*7)\/((-2)\/18). Put -44, y, 2 in descending order.\nAnswer: y, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000414207 to six decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.33256kg to milligrams.\nAnswer: 8332560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + p = -c, 0 = 3*c - 4*p. Suppose 2*n + 1 - 11 = c. Suppose t - 309 = -g, 3*g + g = n*t + 1218. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 105387, 5, -4, -3, -25 in ascending order.\nAnswer: -25, -4, -3, -1, 4, 5, 105387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**10\/7560 - i**6\/144 - i**4\/4 - 5*i. Let j(a) be the third derivative of p(a). Find the second derivative of j(o) wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 15*j - 42. Let k(t) = -7*t - 42. Let a be k(-5). What are the prime factors of l(a)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1749, 1745, 1743, 1743, 1745?\n\"Answer: l**2 - 7*l + 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40 - 22) + 0*1\/(-1). Suppose 0 = 4*o + 3*s - 9, 3*o = 2*s + c - 7. Solve -2*q - b - 1 = -0, 5 = -5*q - o*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397564 > 397551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1590787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42043 is divided by 6005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let b(j) = 7605*j**2. Determine q(b(w)).\nAnswer: -7605*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 10:33 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-2925) - 2\/5. Let b = 2\/39 - k. Let w be (-2)\/((-8)\/3)*88\/165. What is the second biggest value in b, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d7d - -2?\nAnswer: -d7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -9. Let i = y + 83. Suppose 5*d = 3*s - i, 2*s - 29 = 2*d + 3*d. What is the remainder when 31 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(0 + 0 - o)*(-1 - 2 + 0) + 0 + o + 0.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*v - 47*v = 34*v - 2080 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/36 + (-258)\/1161)*(-12)\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 1. Let s = 16.6 + -17. Sort 0.3, d, s.\nAnswer: s, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 2*o - 2. Let d = -27 + 49. Calculate the lowest common multiple of d and s(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = 168. Let l = -30 + y. Solve -g - 2*a = 5, -3*a - l = g + 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 2 = 6*h. Let c be 4 + h + 8 + -4. Suppose 5*z - 417 = 2*w, -2*w = -3*w + c. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12163\/21 + 579. Let v be 5255*(-12)\/(-30)*(-2)\/(-11). Let d = 382 - v. Which is the second biggest value? (a) d (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.02.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-88) - (-62)\/(-22). Let n be -2*b\/(-18)*3. Let x(y) = y**2 + 2*y + 1. Give x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1097 = -s + 1088. Put s, -1, 0, -3 in descending order.\nAnswer: 0, -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 4*k + 5. Determine o(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s + 56*s + 560 = 0. Calculate the smallest common multiple of s and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 26 = 4*z, -3*z + 2*z + 4*q = -14. Solve -z*h + 4*h = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 4*g**2 + 2*g + 2. Suppose -3*h + 2 = -13. Let l be n(h). Solve 0 = 5*x + l - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 25 = -5*b. Suppose 4*t + 3 = -b, -3*d = t - 25. Let v = 0 + d. What is the highest common divisor of v and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 9:17 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 61915*z**2 + 24*z - 1. What is the hundreds digit of r(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/20 - n**4\/12 + n**3\/2 + 3*n**2\/2 + n. Let l be g(-5). What are the prime factors of l\/20 - 4\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + 1\/5*z**2 - 1\/5.\nAnswer: (z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n + 4. Calculate l(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490802 and 3951.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.6, 2\/7, -734, 2 in decreasing order.\nAnswer: 2, 1.6, 2\/7, -1, -734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Differentiate -2 - 2*w**m + 1 + 3 with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q**3 + q - 2*q + q**2 - 12*q**3 - 2 to the form a*q**2 + j + p*q**3 + o*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -113624300 rounded to the nearest one million?\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Let b be (1 + 2)*(-8)\/(-6). Suppose -12 = -4*a + g, 3 + 17 = a + b*g. Solve 8 = -4*c + 2*m - a*m, c = -q*m - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3 - 10 + 14. Let d(x) = x. Let r(z) = -2*c(z) + d(z). Let b be r(16). Solve 2*t - 4 + b = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 907 + 391 = 385. What is the greatest common divisor of d and 12733?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**5 + 876*l**4 - 44448*l**3 + 464624*l**2 - 1102848*l - 1612800 = 0.\nAnswer: -1, 6, 8, 56, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1223472 divided by 611736\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6*r = -9*r. Solve 8 = -2*c - 0*c + 3*x, 4*c + 2*x = r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Let y = 2503.8 + -2504. Sort -1.4, w, y, -5.\nAnswer: -5, -1.4, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2117280 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 151500949 to the power of 1\/2, to the nearest integer?\nAnswer: 12309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24*3\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1261, -2556, -3871, -5206, -6561?\n\"Answer: -10*v**2 - 1265*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.04 + -0.38. Let r = -3.45 - v. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*f - 43736 = -71*f - 403*f for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -3 - (15 - 22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/18*6\/(-35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 16*j**3 + 17 + 14 - 8*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 206*o\/9 + 212\/3.\nAnswer: -2*(o - 3)*(o + 106)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 366*l**2 + 63*l - 154402. Give r(365).\nAnswer: 1818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 4*p**5 + 2*p**5 + (1 - 1 + p**2)*(0 - 2*p**3 + 0) + p**2 - p**5 - p**2 + (-2*p + 2*p + p)*(4*p**4 - p**4 - 5*p**4).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 15*x**2 - x - 3. List the prime factors of z(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104309061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z. Let r(d) = -385974*d**2. Calculate r(l(k)).\nAnswer: -3473766*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 105 = -36*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 3222?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.04, 4, -15, -1 in ascending order.\nAnswer: -15, -1, -0.1, 0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 8. Let v(d) = d + 7. Let z(p) = 5*i(p) - 6*v(p). Let w(n) = -n**3 - 8*n**2 - 10*n - 22. Let b be w(-7). Let h be z(b). Are h and -3\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -504\/5 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35954, 35957, 35962, 35969, 35978?\n\"Answer: y**2 + 35953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 8 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k. Let s(f) = -6*f - 11. Give m(s(u)).\nAnswer: -18*u - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18002836 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/105764 and 56\/1781.\nAnswer: 1374932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 + 6*v**2 - 7*v + 6. Let k(a) = a**3 - 7*a**2 + 6*a - 7. Give 7*d(s) + 6*k(s).\nAnswer: -8*s**3 - 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -26)*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -727*p**3\/3 + p**2 - 344*p - 134. Find the second derivative of q(v) wrt v.\nAnswer: -1454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1104 - 25282\/23. Let w = b - -283\/138. Calculate the common denominator of -21\/2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16.4 (b) -6 (c) -1680\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10337540914 rounded to five decimal places?\nAnswer: -0.10338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + g**2 + 0*g**2)*(g - 4*g - 9*g) + (-2 + 2 + 4*g)*(-g**2 + 1 - 1).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 354\/(-114) - (1 + -4). Let i = 5 + -9\/2. Which is the third smallest value? (a) i (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -448*k**3*y**3 + 2*k**3*y**2 + 279*k**3 + k*y**2 wrt y?\nAnswer: -2688*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 607, 4, -993, -2390, -4193, -6408, -9041, -12098?\nAnswer: -15585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 40103988 = -4*c, 4*y = -5*c + 32353212 + 7750773. Suppose 6*q + 12*q = y. Round q to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6 = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/(-15))\/((-4)\/5))\/((35784\/142)\/(-36))\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*d - 99, 4*d + 25 = 3*a + 12. What is the greatest common factor of a and 299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*q + 22, 48 = -11*j + 6*j + 4*q. What is the biggest value in -2, 3\/10, j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68) - (-1 + sqrt(68))*4)**2.\nAnswer: -3140 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*t - 192*t - 5844 = 0. Suppose 3 = -2*b + 7. Suppose 0*c + p + t = b*c, 3*c = p + 1459. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07068 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*y. Let m(r) = -2*r**y - 4 + 4. Let n(a) = -2*a**2 - a**2 + 4*a**2. Give n(m(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (24 - 27) + 4 - 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -259\/3. Which is the nearest to 0? (a) 5 (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*5\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109713 is divided by 291.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - -1.18. Let d = m + 3.27. Let n = -6.07 + d. What is n rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -657 + 1410. What are the prime factors of r?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {b: 2, e: 6, z: 4, a: 1, w: 4, k: 3}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20*i - 5. Let o(n) = -10*n + 2. Give 2*c(h) + 5*o(h).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-45) - 7\/(-5). Is (14 + -163)\/(j*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**2 + 17*d + 4. Let t(q) = 12*q**2 + 20*q + 3. Give 3*h(n) - 4*t(n).\nAnswer: -15*n**2 - 29*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41227986269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 44072, -7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 57, 17, -55, -159, -295, -463?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 887 and 44350?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p\/p**(1\/3)*p\/(p\/p**(-3)))**26)**(-2\/97) assuming p is positive.\nAnswer: p**(-104\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 175234932 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 625, 970, 1313, 1654?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.7 - 1.7. Let f = -17.3 + v. Let i = -1.4 + f. Which is the smallest value? (a) i (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r + 7933 + 2387. Let o = 485 + r. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -8 - (-4 + -1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*k = -576*k - 2158 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:43 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 0*p + p)*(1 + 2 - 1)*(4 - 3 + 35) in the form v*p + z and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {e: 2, h: 1, g: 1, t: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191668148 divided by -12164.\nAnswer: 15757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -516552 (base 11) to base 9.\nAnswer: -1502484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-30) + (-15)\/25. Let i = -4.136 - -0.706. Let r = -3.5 - i. Which is the closest to -0.1? (a) r (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (163*z - 163*z + 101*z**2)*(3*z - z**2 - 3*z) to the form a*z**3 + l + j*z**2 + p*z**4 + q*z and give p.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 2\/3*x**3 + 4*x - 1\/12*x**4 + 0 - 2*x**2. What is m(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.10483 millennia to years.\nAnswer: 14104.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h - h + h)*(h**2 - 5*h - 5*h + 3*h) + (-h**2 + 0*h**2 + 2*h**2)*(3*h + 0*h - 5*h) to the form s*h**2 + k + l*h + q*h**3 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 4*k - 3*k)*((-2 - 1 + 2)*(-2 + 0 + 1) - 3 + 0 + 5).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -71*v**3 - 2*v**2 - 3*v + 3. Let u be y(2). Let s = u - -1310. Suppose -5*t = -4*c - s, 2*c - 3*c = -4*t + 587. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749.9232 centuries to years.\nAnswer: 74992.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 48 = 248 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2210 and 12?\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4000 and 244295?\nAnswer: 195436000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11111000010111 (base 2) to base 14\nAnswer: -5b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/(5\/(-90) - 0). Let s(u) = 3*u + 7. Give s(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 8*y = -10*y - 32, 2*y = -36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.31, -4\/3, 85.\nAnswer: -4\/3, 0.31, 0.5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18666383*c + 35345472 wrt c?\nAnswer: 18666383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417*c - 1416*c = -3*d - 9, -d - 51 = -4*d + 4*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -3. Let d = 7 + b. What is the second derivative of 1 - 1 + 11*n**5 - 12*n**5 - d*n wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - 18 = -2*h, 2*p - 4*h - 14 = 0. Let v(o) = 3 + 1 - 6*o + 2*o + p*o. Suppose 6*s = 25 - 1. Calculate v(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42644, 41510, 40376, 39242, 38108?\n\"Answer: -1134*z + 43778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925*n + 917*n + 2*h = -183058, 2*h = -2*n + 45752. List the prime factors of n.\nAnswer: 3, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d**3\/7 - 2206*d**2 - 2858*d - 6460\/7 = 0.\nAnswer: -2\/3, -5\/8, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -16332661 and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 9, 38, -3, -1, -72 in descending order.\nAnswer: 38, 9, -1, -3, -22, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26002837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -121890000 rounded to the nearest 1000000?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 22022?\nAnswer: 22013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63676758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 3*t - 6. Let v be m(-3). Sort v, -4, -2 in descending order.\nAnswer: v, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -3 - (4 - 5). Suppose -b - v + 0 = 0. What is the units digit of b\/(-1)*(-4)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-20)*z\/(z*z\/(z\/(z\/(z\/((z*(z\/z**7*z)\/z)\/z)*z)))) assuming z is positive.\nAnswer: z**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 - 7 - (-5 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7baba - -5?\nAnswer: -7bab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-100)*(-5)\/(-3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037937 rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4314 - 3979. Calculate the remainder when m is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 13 (b) -2\/13 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264 - 695*z - 731*z + 2121*z - 696*z + 793 + 108.\nAnswer: -z + 1165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64540 by -3227.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 + 23*u - 98. Let m(y) = -2*y**2 - 5*y + 33. Calculate 4*c(l) + 11*m(l).\nAnswer: 2*l**2 + 37*l - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24475 and 658867.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 308.49 + 7.51. Let f = -781 + c. Let i = -465.0000201 - f. Round i to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18f5d0 (base 16) in base 11?\nAnswer: a17aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + (-100)\/(-14))\/(6\/21). Which is the smallest value? (a) 3 (b) t (c) -4\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18295 or -114?\nAnswer: 18295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -7, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -5*k. Let g(p) be the first derivative of -k + 1\/2*p**4 + 0*p + 2\/3*p**3 + 0*p**2. Factor g(v).\nAnswer: 2*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-75)\/6*10\/(-6). Let m = -21 + u. Suppose 4*g + 4*d = -0*d - 40, 4*g - d = -15. Which is the third smallest value? (a) g (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1805 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -20*q + 10. Let o(n) = 88*n - 45. Let j(u) = 9*d(u) + 2*o(u). Let a(y) = 132*y**2 + 1. Calculate j(a(x)).\nAnswer: -528*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-238))\/((122408\/(-364))\/214)\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8191 = -410*h + 9760 - 4011 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 2197931399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c**2 - 7*c - 27. Calculate n(-9).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1440 and 36811040.\nAnswer: 331299360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.98229 + 0.9609. Round o to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 + 0*q**3 + 90 - 4*q**3 + 25.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617535 is divided by 1806?\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Suppose 3*r = -2*v + 9, 0*r - v + 2 = r. Let c(q) = q - 9. Let j be c(r). Is j > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -602239188 by -200746396.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Find the first derivative of -u - 4 + 7*h + 6 - 3*h wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 489739*c**2*y + 340*y + 591 wrt c?\nAnswer: 979478*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((1*sqrt(162) - sqrt(162)) + -1)**2 + sqrt(162) - (3*1*sqrt(162))**2).\nAnswer: -1459 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -12 + -24 + 0 + 11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-7) + (8 - 71\/7). Let z = -2.8 + 6.8. What is the nearest to 2 in z, q, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(1 - (-6)\/(-8)). Let s = -344 - -343. Which is the third biggest value? (a) 7 (b) s (c) 1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**4\/12 + 2*j**3 + 25*j**2\/2 - 14*j. Let y be s(-11). Let l be y\/(-63) - (-38)\/90. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11714*p**4 - 117*p**3 + 51193*p**2 + 19 wrt p?\nAnswer: -281136*p - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*z - 2, -5*z + 99 = 3*t + 105 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 741.4483t in grams?\nAnswer: 741448300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113230647.\nAnswer: 3, 12581183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35347955 to the power of 1\/2, to the nearest integer?\nAnswer: 5945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**2 + t. Let j be u(2). Calculate the greatest common divisor of 105 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 2*c**2 + 4*c + 1. Let d be i(3). Let l(t) = -3*t + 13. Let s be l(d). Let o = 23\/6 - 403\/102. Which is smaller: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j + 103. Let a be q(-20). Suppose 4*u - 441 = 3*v, 429 = 4*u + a*v - 2*v. Calculate the remainder when u is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1505860?\nAnswer: 2, 5, 17, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 391269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -253308 divided by 2508?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/4 - 2\/8. Let b(g) = 9*g - 86. Let i be b(9). Put i, j, 0 in ascending order.\nAnswer: i, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-8) - 63\/(-14). Let 25 - 34*l**2 + 9*l - 5*l**r + 9*l**2 + 4*l - 18*l + 10*l = 0. Calculate l.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*x + 4. Let c = x + 35. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/85*(-7)\/(-14)*-25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**7\/126 - x**6\/45 - x**5\/60 + x - 4. Let a(k) be the first derivative of s(k). Let a(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {a: 3, c: 2, j: 8, f: 1, q: 1, i: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - 6c237?\nAnswer: -6c263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/8 - 5*x**2\/2 + x\/8 + 5\/2.\nAnswer: -(x - 1)*(x + 1)*(x + 20)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45142 - g - 301*g**2 + 45142)*(-2*g - g + 4*g).\nAnswer: -301*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15c5d81 + 16?\nAnswer: 15c5d97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 664, 1714, 3244, 5290, 7888, 11074, 14884?\nAnswer: 19354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165*k**2 + 52*k**5 + 165*k**2)*(2 - 1 - 3) + (-2*k**2 - 3*k + 3*k)*(-3 + 3 - k**3) + 2*k**5 - k**2 + k**2 + 3*k**5 + k**5 - 2*k**5.\nAnswer: -98*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 989441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**5*i**0)\/((i*i\/(i*(i**5*i)\/i))\/(i\/i**(-1\/22))) assuming i is positive.\nAnswer: i**(265\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reeerere. Give prob of picking 1 r and 2 e.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (337*t**2 - 1586*t**3 - 337*t**2)*(-1 + t**2 + 1) + (0 - t + 0)*(-t**4 - t**4 + 4*t**4).\nAnswer: -1588*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 3:20 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100222330 + -2?\nAnswer: 1100222322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqqo when four letters picked without replacement from oqqoqqqooq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + i - 3. Let a(m) = 22*m**3 - 3*m**2 + 7*m + 7314. Let v(d) = a(d) - 7*b(d). What is the first derivative of v(n) wrt n?\nAnswer: 45*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/(-3)*(-4 + (-10)\/(-1)). Suppose -4*n = -2*x - q + 280, 4*x - 381 = -n. What is the common denominator of 103\/14 and 36\/x*35\/3?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 144392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3762*b*l**3*v**2 - 85*b*l**3*v + 2*b*l*v**2 - 22*b + 138301*l**2*v**2 wrt l.\nAnswer: 22572*b*v**2 - 510*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**7\/6 + 4*m**6\/15 - m**5\/10 - 3683*m**3\/3 + 6723*m. What is the second derivative of r(a) wrt a?\nAnswer: 140*a**3 + 96*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*v**3 + 26*v**3 + 26*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (78 + 0)\/((8\/28)\/(40\/210)). Calculate the greatest common factor of r and 2041.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7 + (-5)\/1)*2\/14)\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1456, 3207, 4960, 6715?\nAnswer: 8472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 3, x: 3, e: 1, g: 1}. Give prob of picking 1 e and 1 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.048.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11301, -22390, -33471, -44538, -55585, -66606, -77595, -88546?\n\"Answer: f**3 - 2*f**2 - 11090*f - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37493 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23050690.\nAnswer: 2, 5, 13, 233, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 504 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 2*o**2 + 7*o + 17. Let r be w(-3). Solve 2*i = i - 3*j + 6, -r*i + 5*j = 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -68*a + 292 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 1. Let g(p) = -3*p - 1. Let t(f) = 5*g(f) - 6*k(f). Suppose 0 = -8*m + 3*m - 10. Give t(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5085750 to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*r - 237*r + 687*r - 226*r + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*t + 5*h, -5*t + 0*t + h + 15 = 0. Let s be t\/(-13) - (-15)\/(-325). Let k be 5\/60 + (-1)\/(-4). Is k not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/71 - 147\/355. Let x = 6.4 - 6. What is the nearest to n in 4, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -17. Let n(g) = 2*g + 3*g**2 + 3*g + 7*g**2 - 6 + g**3 + 11. Let o be n(-6). Calculate the greatest common factor of c and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -462, -456, -448, -438, -426?\n\"Answer: b**2 + 3*b - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -514, -1988, -5348, -11536, -21494, -36164, -56488?\n\"Answer: -157*y**3 - y**2 - 372*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.11 (c) 3\/4 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 4*u**2 - u + 2. Let w be a(-4). Let h be 49\/63*w\/(-4). Do h and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 1. Let b(u) = 4*u**2 - u + 5. Let j(k) = -b(k) - 5*d(k). Let w(o) = 9*o**3 + o. Let i be w(1). Let m(n) = 8*n**2 + 10*n. Give i*j(t) - m(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 = 2*s, 3*x - 5*x - 2*s + 2 = 0. Solve -x*a = -5*i - 28, 0 = 3*i + 4*a + 3 + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:03 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 293. Suppose 1515 + l = 4*q. Suppose -5*f - j + 746 = -2*j, -3*f = -5*j - q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/7, 1.6, -0.06, -4, -5, 3\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -541\/9 - -60. Let c be 2\/(-3) - (-48)\/(-9). Let b be c\/10 + 0\/1. What is the third smallest value in p, -3\/2, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(17))**2 + -4 + ((sqrt(17) - (sqrt(272) + -3)) + sqrt(17))**2 - (-3*(sqrt(85) - -2*sqrt(85)))\/(sqrt(5) + 1*sqrt(500) + sqrt(5)).\nAnswer: -45*sqrt(17)\/4 + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747419 + 689509 = -6579*x - 9415*x - 402382 for x.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 379, 390, 405, 424?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*(45\/(-36) + 1). Let a be (-3)\/(-6)*-2*-3. What is the greatest common factor of s and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 5)*(-18130)\/15. Let c = i - -32693\/9. Find the common denominator of c and (-63)\/315*265\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, 1, -11, -39, -89, -167?\n\"Answer: -i**3 + i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/10*3)\/((-21066)\/1509730))\/((-3)\/(-6))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.78876l to millilitres.\nAnswer: 42788.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 281787 or 281722?\nAnswer: 281787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -464134?\nAnswer: -464135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6.4. Let p = 0.2 + f. Which is the nearest to 0.1? (a) p (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g - 4. Let s be m(0). Let b(o) = -o - 1. Let x be b(s). Suppose 8*p - x*p + 45000 = 0. Round p to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110991 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 42. Let l(u) = -11*u. Give d(l(b)).\nAnswer: 11*b - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1197)\/(-135) - 9)\/(10\/(-105)). Determine i, given that -s*i - 6\/5 - 1\/5*i**2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 - 8) - (11 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 f when three letters picked without replacement from fffffffffffffffffpp.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 9*k**2 - 8*k + 10. Let n = 52 - 41. Let u be z(n). Let f be u\/(-30) - (-2)\/6. What is the greatest common factor of 143 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359799522 a multiple of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v, -63*v = -g - 66*v + 49. Calculate the remainder when 99 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -481798 and -481800 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -315, 10.8, 1\/5 in decreasing order.\nAnswer: 10.8, 3, 1\/5, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1463 = -22*w - 36*w - 19*w. Let x = -35 - -58. Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cccc9 (base 16) to base 6.\nAnswer: -25551333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 73*r**2 - 4*r + 49. What are the prime factors of z(20)?\nAnswer: 11, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/15, 60, 6887 in descending order.\nAnswer: 6887, 60, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894534.\nAnswer: 2, 3, 29, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-7*v + 3*v + 12*v)*(-1 - 4 + 4) to the form y*v + d and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-5))\/t**(-2\/11))**(-25) assuming t is positive.\nAnswer: t**(-1700\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 21 = -4*z - 3, 5*p - 3*z = -7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2414 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**6\/10 - 4*p**3\/3 - 3*p. What is the second derivative of m(s) wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 - 2303?\nAnswer: -2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12 + 10*v - 5*v**2 + 0*v**3 + 2*v + v**3 + 18*v**2. Let a be h(-12). Solve 5*u + 2 = a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1. Let d = -343 - -343.3. Which is the nearest to 1? (a) y (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/12 - 2*p. Let q = -419 + 423. Let j(w) = -q + 12 + 30*w - 8. Give j(s(y)).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 403 = -8*l. Let d = l - -55. Let u be 5 - (d + (-3)\/(-6)*4). Solve -u*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 725 = 11*a. Suppose 4*f - 4*j - 128 + 0 = 0, 0 = 5*f + 4*j - 133. Calculate the highest common factor of f and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3003821711.\nAnswer: 11, 29, 349, 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - l = -14, -12 = 5*j - 5*l + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -38. Suppose -8*d - 4*x + 64 = -5*d, 0 = -4*d + 5*x + 75. Calculate the greatest common factor of d and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 158*w**2 + w - 6*w.\nAnswer: 158*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 17424\nAnswer: -1\/17424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*h + 22*h + 14*h to j + s*h and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -872.4 - -872. Let x = -6 - -37\/6. Put a, x, -7 in decreasing order.\nAnswer: x, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010220122021202 - 12?\nAnswer: -2010220122021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788781*b - 1925 = -788746*b for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {d: 6, v: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 3*k**2 - 2*k + 3. Suppose -1120 = 2*z + 6*z. Let f = z - -137. Determine s(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(4 + 5 + sqrt(612)) + 1*(sqrt(612)*4 + -2))**2.\nAnswer: 2304*sqrt(17) + 44576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/134232 and 1\/1073856.\nAnswer: 1073856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72180 and 86728280?\nAnswer: 780554520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -233 + 240. Let m(v) = r*v + 0*v**3 + 38*v**2 - 45*v**2 + 9*v**3. Let g = 4 + -2. Let l(w) = 4*w**3 - 3*w**2 + 3*w. What is g*m(i) - 5*l(i)?\nAnswer: -2*i**3 + i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w - 4. Let k(f) = -3*f**3 - f**2 - 2*f - 1. Let d be k(w). Suppose -20 = -4*v + d*h, v - 3*h - 18 = -2*v. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.79934931*0.1.\nAnswer: 0.379934931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/7 - 443*h**2 - 2212*h - 12384\/7.\nAnswer: -(h + 1)*(h + 4)*(h + 3096)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416 and 8.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/29)*n**16)\/(n*n**(-12))**30 assuming n is positive.\nAnswer: n**(10061\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(76) - (5 + sqrt(76)*2) - (-1 + sqrt(76) + -4))**2 - ((sqrt(38) + sqrt(1368))*2)\/((sqrt(14)*-3)\/sqrt(7)).\nAnswer: -608 + 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19420)\/(-30) + (4\/(-3))\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1248 divided by 2131.\nAnswer: -1248\/2131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/6)\/((-9)\/(-216)). Let -2*u - 6*u + 16*u - 28 + 4*u**2 - q = 0. Calculate u.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543629771 take away 0.3?\nAnswer: -543629771.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 616868650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 22*y**2 + 72*y - 2. What is h(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30932, 123732, 278406, 494954, 773376?\nAnswer: 1113672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 4960.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17*k - 5. Let q be h(4). Let s(z) = z**2 + 2. Let l be s(-3). Suppose 168 = -3*t + l*t. Calculate the greatest common factor of q and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1305654 - -19694346. What is k rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -5111?\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/17 - 128*q\/17 - 126\/17.\nAnswer: -2*(q + 1)*(q + 63)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - i - 20 = 0, 2*b + i = -3*b + 20. Suppose 3*f - 34 = -2*k + 6*f, -b*k + 5*f + 75 = 0. What is the greatest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028082602 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/210 + 17*d**4\/42 + 64*d**3\/21 - 5*d**2 + 13. Factor j(b).\nAnswer: 2*(b + 2)*(b + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 9*o**2 + 3*o + 9.\nAnswer: -3*(o - 1)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -744 - -2231. List the prime factors of m.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**2 + 3*i - 2 - 4*i**2 - 52*i**2.\nAnswer: -78*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/5)\/((-5)\/(-7878550)). Let p = o - 660852. What is p rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258419653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43388*p**4 + p**2 + 42263*p + 2.\nAnswer: -1041312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9865592 centuries?\nAnswer: 1183.87104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1 - 2 - -4). Let x(n) = n**3 + n**2 + 10. Calculate the lowest common multiple of 10 and x(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/9144 and -35\/13716.\nAnswer: 27432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 2. What is g(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*f + 23. Suppose 12*w + 1023984 = f*w. Suppose 4*r + g = w, -r - 5*g + 63980 = -0*r. What is r rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.57934, 1\/5, -91.\nAnswer: -91, 1\/5, 0.57934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*w = -25, 0*d - 4*d = -w - 35. Let c be (-354)\/(-4) - 5\/d. What is the highest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 7:36 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 - 6*i**3 + 0*i**3)*(-4*i - 6*i - 2*i) to t*i**3 + l*i + u*i**2 + b + g*i**4 and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2066 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, -32, -152?\n\"Answer: -120*x + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.539 + 0.069. Let d = r + -0.53. Let o be (2\/18)\/((-12)\/(-12)). Which is the nearest to 0.1? (a) o (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7825.507 and 24876.7.\nAnswer: 17051.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 0*w + 752. Let z = 109 + w. Which is smaller: 27\/2 or z?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 41*l**2. Let g(r) = -14*r**2 + 5*r - 35. Let d(h) = -14*h**2 + 6*h - 42. Let u(k) = -5*d(k) + 6*g(k). What is t(u(o))?\nAnswer: 8036*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Let v(j) = 3*j**3 + 8*j**2 - 5*j - 3. Let o(z) = -z**3 - 4*z**2 + 2*z + 1. Let a(q) = -10*o(q) - 4*v(q). Calculate -a(y) - 8*t(y).\nAnswer: 2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, h: 2, f: 3, u: 9}. What is prob of sequence hiih?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31 - c + 0*c - 32 - 56*c**2 + 64 wrt c?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 51 from -1008282647.\nAnswer: -1008282698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 10:07 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 24. Let n = -0.4 + 4. Let r = n + -2.5. What is the smallest value in h, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 9*n**2 - 2*n + 19. Let r be j(-10). Let z = 34 + r. Let o = z - -83. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2534, -2, 18 in ascending order.\nAnswer: -2534, -3, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -19. What is the second smallest value in -4, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.56 (c) -1\/2 (d) 0.05 (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 116. Is (-2)\/(-9) - 4\/c*-40435 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/21*140\/(-30)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4566 - 50*z**2 + 145*z**2 + 11421*z - 60*z**2 - 20*z**2 = 0.\nAnswer: -761, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose -2*v - m + 7 = v, 4*v - 4 = 4*m. Let x(y) = -y**2 - 3*y + 16. Let d be x(-5). Solve f*u - d = -v*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**6\/360 + u**5\/120 - 5*u**4\/24 - 13*u**3\/3 - 27*u - 2. Let j(t) be the second derivative of p(t). Calculate j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 6:59 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 25 + x**2 - 4*x**2 + 26 to p*x**2 + j*x + a and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 4, q: 3, f: 7, b: 4, l: 1}. Give prob of sequence qfq.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 397*c**3 - 426 wrt c?\nAnswer: 1191*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -60. Suppose -3*t + n = t. What is the remainder when t is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 3) in base 7?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -294 + 301. Which is the second smallest value? (a) w (b) -5 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 381*r - 99. Is o(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 6*v**2 + 7*v + 3. Let d(m) = m**2 + 16*m - 7. Let j be d(-16). Determine z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 31 + 13 + -1 + -1 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1059 divided by -30284\nAnswer: 1059\/30284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyiwwwiiciyywwyyw. Give prob of picking 1 c, 2 y, and 1 w.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74.04558 + 0.23042. Round i to zero decimal places.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 19*b + 3. Let k be i(19). Suppose 3*j + 5*y = 3 + 29, k*y = -2*j + 20. Solve 11 = -j*s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422038 divided by -692?\nAnswer: 211019\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*f + 6*f + 0*f)*(-5*f + 4*f - f) to c*f + w + n*f**2 and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -997 - 2*m + 997.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 31*h**2 - 17*h + 2. Let s(g) = -g**2 - g + 23. Let q be s(4). What is the hundreds digit of a(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -1\/4*n**4 + n - 1 + 3\/2*n**2 - 2\/3*n**3. Suppose 4*b = 4*z - 32, 28*z - 128 = -2*b - 2*b. Determine x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 7. Let l = -13 + 13. Let h = l - -0.4. Which is the closest to 1\/3? (a) h (b) t (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-3))\/u)\/u**4)**(2\/81) assuming u is positive.\nAnswer: u**(-2\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 10790 = 3*w. Let d = -1209 + w. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36 - 4*k**2 - 7 + 2*k**4 - 8 wrt k.\nAnswer: 8*k**3 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 - 11*g**5 + 15 + 4*g**5 - 2*g**5 + g**5 + (-3*g + 0*g + 5*g)*(-g**4 + 3*g**4 + 0*g**4) + 3*g**5 + 0*g**5 + 2*g**5.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3146555 to the nearest integer?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*1)\/(12\/(-18)). Suppose 3*n = -5*p + 21, s*p = -n + 5 + 6. Let o be (-14)\/(-6) - (3 - n). Sort o, -0.2, -4 in decreasing order.\nAnswer: o, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:58 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(180) + 1 + (sqrt(15)\/sqrt(3))**2.\nAnswer: -12*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213452 and 398.\nAnswer: 42476948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(28\/(-5) - (-11 + 6)) + -3. Is n less than 93\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -417 - -129. Let w be ((-80)\/t)\/(5\/3). Let g = 4.7 + -5.1. What is the third smallest value in w, -1\/7, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 172*f**2 + 147*f**2 - 4 + 12.\nAnswer: 319*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 165. Suppose -58 - f = o. What is the units digit of o\/(-22) - (-4)\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4928)\/(-1456))\/((-15)\/65) + 15 + -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, -40, -3, -30, 13 in decreasing order.\nAnswer: 13, 4, -3, -14, -30, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 8*g - 7. Let k be q(-6). Suppose 3*s = -2*a - 2*s + 17, k*a + 10 = 5*s. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 953 divide 475025698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000552024 rounded to six dps?\nAnswer: -0.000552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*s - 2. Differentiate -s + 43*b**2 - 43*b**2 + 2*b**3 with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 2, a: 2, q: 7, o: 2, n: 1}. What is prob of sequence af?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let s = 0.2 - 0.2. Let o = -9 - -43\/5. What is the nearest to s in o, y, -4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d - 2. Let q be (1\/5*0)\/(-2). Calculate the smallest common multiple of -3 + q\/1 - -6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 11*l**4\/12 - 2*l**3 + 25*l**2 - 2*l. What is the tens digit of j(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.21 - -1.2. Let u(l) = 2*l**3 - 24*l**2 - 36*l + 132. Let t be u(13). Is t equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*j**2 - 41*j**2 - 63*j**2 + 30*j.\nAnswer: -10*j**2 + 30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/((-6)\/(-6)))\/(-2). Which is bigger: -7\/27 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(-39)))\/(p\/(p**(3\/20)*p))*(p*(p**(-1\/5)\/p*p)\/p*p)\/p**(3\/8) assuming p is positive.\nAnswer: p**(-1497\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*t + 28 = -184*t - 4*f, 0 = 5*t - 5*f - 40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/((-992)\/252)*6)\/((567\/56)\/27)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 26*y**2 + 46*y + 52. What is x(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b23a6b2 - 1?\nAnswer: 6b23a6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 - -30*1\/(-5). Solve 4*f - w + 23 = m*f, -3*f + 21 = 2*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 v when three letters picked without replacement from {e: 6, v: 4}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -192013684 and -204012?\nAnswer: 191809672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267 is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 687264.4 litres?\nAnswer: 687264400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + (-17 - -23) + 2 + -3 + -2 + -4?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*g + 21, -2*g + 20 = -2*u + 6. Let i(z) = -25*z - 10. Let w(o) = 50*o + 21. Let t(q) = 7*i(q) + 3*w(q). List the prime factors of t(u).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14092*l**5 + 8382*l**2?\nAnswer: -845520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/16)\/((-2)\/32). Let r(h) = 2*h**2 - 12*h + 10. Let o be r(f). Let x = o + 6. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(2064\/43))\/((-1393)\/(-28))?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -43.55514?\nAnswer: -43.85514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpkhphghdhdbpd. What is prob of sequence pgh?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -111\/2508718?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*b = 208*b - 3058 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + ((-2*sqrt(100) + sqrt(100) + sqrt(100) + sqrt(100))\/sqrt(2))\/(2*sqrt(640) - sqrt(640)) - -6*(-2*sqrt(4860))\/(sqrt(12) + sqrt(12)*2*-2)).\nAnswer: 289*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-10)\/42 + 1. Let v(q) = 9*q - 145. Let c be v(16). Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -62*q + 134. Suppose f + 2*b - 8 + 22 = 0, 3*b = -4*f - 36. What is the units digit of h(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -1a2?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 24. Let z be x(12). Let c(d) be the second derivative of -d**5\/20 + d**4 + d**3\/6 - 3*d**2 + d. Let b be c(z). Are b and 6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1772350 divided by 2?\nAnswer: -886175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -629049 and -629535 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*d - 4, -5*d = 3*v + 4 - 1. Which is the closest to -0.1? (a) d (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - g**2 + g - 12. Give o(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -21*s + 23. Let m be v(1). Suppose -m*p = -2*d - 80, 7*p - 116 = 4*p + d. Solve 4*u + 2*z + 16 = 0, -4*u + 2*z - p + 14 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -148569.\nAnswer: -148571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 - 3.6. Is h <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 4:35 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 776511090 and 51767406?\nAnswer: 776511090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 - 12*w**2 - 13*w**2 + 2*w**2 + 21*w**2 - 11*w**2 - 12*w**2.\nAnswer: -37*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 + 129. Let x(j) = j**2 + 8*j**h + 2 - 21*j**2 + 2*j**3 - 2*j + 11*j**2. Determine x(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1881 and 396.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/4 - c**4\/2 + c**3\/4 = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = -5*v - 330, 5*v - 340 = 3*m + 37*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + ((3*sqrt(121)*6)\/(sqrt(11) + sqrt(99)*-5))**2*4*-5 + -3).\nAnswer: -35934\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1760.866997 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from {r: 1, k: 5, h: 2, e: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -18*s**2 - 96*s. Let k(u) = 10*u**2. What is t(k(h))?\nAnswer: -1800*h**4 - 960*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -29*y + 120. Determine n(7).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/((-1)\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 6*s + 1. Let d(m) = m**3 + 2*m. Calculate -c(a) + 3*d(a).\nAnswer: a**3 + 12*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 2*b**3\/3 + 126. Let g(u) = 1382*u**2. Determine d(g(v)).\nAnswer: 3819848*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 - 125. Calculate the remainder when d is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jht when three letters picked without replacement from hhhhjjhhjhtjhhhhjj.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4230 or 2822?\nAnswer: 4230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1356)\/(-904))\/((-9)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a + 2?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 574663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(612) - ((1*sqrt(68))\/sqrt(4) - sqrt(17)))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1836 divided by 3?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73633\/12 + -6136. Which is greater: -567 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36616668 divided by -4\nAnswer: -9154167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1847636 or -1847640?\nAnswer: -1847640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77529 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 11*k**2 + 12*k - 5. Let q be h(-12). What is the nearest to -1\/3 in q, 0.5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 9 - 35. Solve 0*r - 3*r - 16 = -4*j, -3*r - o*j = -16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 11:23 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00163814 to 5 dps.\nAnswer: -0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 21. Let y = -34 - -34. Suppose y = -2*w + 2*x + 22 - 4, 3*w = -2*x + 52. Does 15 divide o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3869*t**4 + 9*t**2 - 127*t - 2.\nAnswer: 92856*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - -1 - -8*1. Suppose 2*m = -4*k + 18, 4*k - y*m + 0*m = 53. Suppose -94500000 = k*j - 2*j. What is j rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17678 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:46 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 2*v - 5. Let y(o) = o**2 - o - 4. Suppose 5*m = -4*j - 57 + 95, j = 3*m - 16. Determine m*y(z) - 5*r(z).\nAnswer: z**2 + 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412 a factor of 78231939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -2. Let b(z) = z**2 + 6*z + 6. Let w be b(-4). Let c = w - t. Calculate the remainder when 29 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87520 = -62*r + 16*r + 88210 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxsx when four letters picked without replacement from {x: 4, t: 2, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1082478, 2164986, 3247494, 4330002, 5412510?\n\"Answer: 1082508*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**4\/12 - 5*p**3\/6 - p**2 - 10*p. Let a(n) = n**3 - n - 2. Let l be a(2). Give j(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**2 - j**3 + 2 + 4*j**3 + 5*j**3 - 5*j**3 - 5*j - 4*j**3 in the form l*j**3 + z + p*j + q*j**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.096049 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 1599*c**3 + 1598*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -3*g**7\/140 - g**6\/10 - g**5\/5 - 2*g**4\/9 + 20*g**3\/3 + 10. Let s(z) be the third derivative of a(z). Factor s(o).\nAnswer: -2*(3*o + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -25*y**2. Let x(h) be the second derivative of 0*h**2 + 0 - 5\/6*h**4 - 183*h + 0*h**3. What is x(u(s))?\nAnswer: -6250*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m**2 + 10*m + 4. Let f be r(-3). What is the third derivative of 17*b**5 + 2*b**6 + 110*b - 2*b**2 - 86*b - f*b**5 wrt b?\nAnswer: 240*b**3 - 3900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -329*a**2*x**3 - 7*a**2*x**2 + 2*a**2 - 118*x wrt x?\nAnswer: -1974*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23333 (base 8) to base 5.\nAnswer: 304242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 5:48 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 5847566380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.1844 (c) -4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-27)*3509709\/51380. Let v = -12\/1835 + f. Calculate the common denominator of -19\/2 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8*j = -42. Suppose 2*m = 5*w - j, w + 8 = -0*w + 5*m. Suppose -4*h = 2*u - 228, w*u = -5*h - 5 + 237. What are the prime factors of u?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.2 and 8295881013935.\nAnswer: 8295881013926.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, c: 2, j: 2, p: 1, r: 3}. Give prob of picking 1 r, 2 j, and 1 p.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19669 and 712.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.3, 2.54, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2. Let q(w) = -4*w + 362. Determine g(q(a)).\nAnswer: 48*a**2 - 8688*a + 393132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 53 = -s, -630*i + 629*i + 4*s + 22 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 2*t**2 + 2*t + 1. Let j be c(-2). Let w = j - -67. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1175.96 to the nearest ten.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)*j*j*j**(-1\/2))\/((j*j*j*j\/(((j*j**(3\/10))\/j)\/j*j*j)*j)\/(j*j*j**(-1\/3))) assuming j is positive.\nAnswer: j**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*w + 3*w - 4, -5*w - 5*m + 20 = 0. Let p = -7.5 - -8. What is the biggest value in -2\/17, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -219?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t + 15 = 0. Suppose 6 = -t*v + 26. Let k = v + 2. Calculate the smallest common multiple of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-11)*o*((o\/(o**(-9\/2)\/o))\/o)\/o*o assuming o is positive.\nAnswer: o**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000189560742 rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14436 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 19635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194 at least as big as 3257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3982757.\nAnswer: 1427, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/5 + 2*r**3 + 2*r**2 - 2*r - 12\/5 = 0. What is r?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*p = 409 + 191, -4*g = -5*p + 600. Let n be (g\/(-3))\/(2\/(-4)). Let f = -81 - n. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000011011101110 + 10?\nAnswer: -110000011011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 19*l**3\/6 + 25*l**2\/2 + l. Suppose 264 = 36*x - 3*x. What is the remainder when k(x) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6*7\/(700\/75)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 378.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1214*n - 11. Let i(u) = -u**2 - 20*u + 24. Let o be i(-21). Is x(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.65 rounded to one dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n**2 + 1238*n + 3789. What is r(-100)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101023193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (-3*-3*sqrt(162) - sqrt(162)) + sqrt(162) + 1*sqrt(162) + 0 + 3)**2 + 0.\nAnswer: 594*sqrt(2) + 19611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 247 in 0.07, 6, 2, 5\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 7*j**2 + 6*j + 15. Let r be o(2). Let y = -31 + r. Solve 0 = -0*w + y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -26. Let t(c) = 6*c - c**3 + 13*c**2 - 6*c**v - 10*c - 29 + 9*c. Is t(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 3. Let h be p(-4). Let v = h + -5. Suppose 5*t + 1470 = v*t. Round t to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 106 and 165587.\nAnswer: 17552222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 2 + 2*b + (-1 + 5 + 0)*(b - b + 2*b) + (-5 + 2 + 5)*(-435 - 185*b + 435) - b + 3 - 3 to i + u*b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -148 + -3 + (6 - -1). Find the common denominator of (12\/18)\/(6\/19) and (70\/m + 1)\/(3\/9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/42 + 67\/126. What is the common denominator of 5\/((32\/(-20))\/(-2)) and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 12265564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.16 - -0.16. Let i = m - -10.1. Which is the second smallest value? (a) i (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7875 and 27292545.\nAnswer: 682313625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8789401 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l + 6. Let g(v) = -20*v + 5. Let q be g(0). Suppose -f - 4*h = -q*f + 12, 13 = 4*f - 5*h. What is the smallest common multiple of f and o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 48*n**2. Let p(k) = -96*k**2 - 33*k + 33. Let v(s) = -6*s**2 - 2*s + 2. Let y(x) = -2*p(x) + 33*v(x). What is u(y(q))?\nAnswer: 1728*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 790 and 48770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)*m*(m\/m**(-2)*m)\/m)**(-2\/65)\/(((m**(-1\/2)*m)\/m)\/(m\/(m\/m**(-3)))*(m\/(m\/m**(-2\/5)))**(-4)) assuming m is positive.\nAnswer: m**(-547\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - y**5 - y**3 + (-3*y - 4*y + 6*y)*(-4*y**2 + 3*y**4 + 4*y**2) - 8*y**2 + 8*y**2 + 11*y**5.\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836 smaller than -454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3168296 divided by 2?\nAnswer: -1584148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 3. Let w = -41 - -33. Let a be i(w). Suppose a*p = 2*v + 580, 2*p - 232 = 4*v - 2*v. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -18*q**2 + 15*q. Let n(m) = m**2 - m. Let i(h) = -15*n(h) - u(h). Let z(c) be the second derivative of -c**3\/2 + 9*c. What is z(i(b))?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 3 in increasing order.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_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: Calculate 2\/(-10)*223510\/(-1442).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*k + 3880 = -156*k + 250*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/4 + 4*c**3\/3 - 5*c**2\/2 + 4*c + 5. Give b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30572 by -3.\nAnswer: -30572\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 57750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2904*w + 29438 + 14529 = -21031 - 39546 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-seven halves of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67352511?\nAnswer: 3, 19, 241, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6250 divided by 50\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9\/13 + -102\/91. Put -0.5, -0.4, 3\/8, b, -20\/11 in descending order.\nAnswer: 3\/8, -0.4, b, -0.5, -20\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8162 and 8165 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l - 2*l - 2*l + (-4*l + 4*l - l)*(1 + 1 + 0) + l + 2*l - 2*l - 663*l - 144*l - l.\nAnswer: -806*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Suppose f = -4*s - 3*y + 23, s + 4*y - 5 = 3*y. Let o be 18\/(-2)*s\/(-12). Calculate the highest common divisor of 24 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 1) + 28 + -10. Suppose -7*u + 0*u = -v. Suppose t + 6 = 4*t. What is the remainder when u is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(-7*s + 26 - 26) - 3*s - 4 + 4 - 1 + 1 - s as g + p*s and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 2. Let w be k(8). Let h = w + -18. Let m(d) = -d + 8. Let p be m(5). Solve 3*i - 6 - p = h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 - 3)*(4*q - 5*q + 2*q)*(-7*q + 12 - 12)*(3 + 0 - 1) - 4*q**2 + 2*q - 2*q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111221002111202 (base 3) to base 12.\nAnswer: 258bb25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137327 and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a - 17*a**2 + 356*a + 59*a**2 + 36*a**2 + 22*a**2 wrt a?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.785 and 1051.\nAnswer: -825.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625325651 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -632287\/258060 - -2\/12903. What is the common denominator of d and -11\/38?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2*x**3 - 39860*n**2*x - 1204*x**3 - 2 wrt n.\nAnswer: -2*n*x**3 - 79720*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.6, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*u**3 + 2105 - 2105 + (u - 2*u + 2*u)*(-25*u**2 + 11*u**2 + 2*u**2).\nAnswer: -66*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.061 - -0.0609648. Round d to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5264 - 5264.03. Which is bigger: a or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b76 + -9351b?\nAnswer: -92565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*d**3 - 18*d**3 - 15*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/2 - 6*m**3 + 23*m**2 - 30*m + 25\/2.\nAnswer: (m - 5)**2*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:15 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -85 + 83 - (-3 - -1). Which is smaller: f or 3\/736?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*d**4 - 485*d**3*g**3 + 3*d*g**2 - 754*g**3 wrt d.\nAnswer: -108*d**2 - 2910*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-3)*1)\/(33*(-3)\/(-495))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from jjjjjrjjjjjjjjjjjjjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -47. Let y = -25 + w. Let d = y - 23.999999. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3868 = -737*i - 10456 - 2627 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105543503*j**4 + 231893620 wrt j?\nAnswer: 422174012*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 + 3*d**2 + 3*d - d - 2. Let x be b(6). Let i = -6 - x. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwwo when four letters picked without replacement from wwoojow.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 2*z = 56 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 9*o**2 + 4*o - 14. Let b be n(9). Suppose 25*h = b*h + 145440. What is h rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 9*x + 45 = -235, -4*a = 8*x - 134 - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 278\/3, 5, 3, -50\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*l + 743 = -10957 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {f: 10, l: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 35, 98, 217, 410?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzm when three letters picked without replacement from mzzzmzzzzzmzzzzzmzz?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 3*m**7\/70 + 13*m**3\/6 + 5*m**2\/2 + 3*m. Let d(t) be the first derivative of o(t). What is the derivative of d(y) wrt y?\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**7\/60 + p**6\/36 + p**3\/3 + 7*p. Let c(r) be the second derivative of w(r). What is the third derivative of c(l) wrt l?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -87*h - 151. Let l(w) = 360*w. Determine l(g(d)).\nAnswer: -31320*d - 54360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190316391 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -17*x**3 - 25*x**2 - 12*x - 17. Let n(j) = -4*j**3 - 6*j**2 - 3*j - 4. Let y(u) = -6*c(u) + 26*n(u). What is b in y(b) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-5))\/3)\/(597\/20895)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-136)*8\/18.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 6\/7*x + 2\/7*x**2 = 0. Calculate x.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m**2 + 6*m - 4. Let j be p(-7). Suppose 90 = j*d - z, 0 = -2*d - 0*z + z + 60. Let c = d - 8. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 39*j**3\/2 + 3*j + 15. Let o(r) = 10*r**2. What is c(o(a))?\nAnswer: 1170*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - 7*t. Let z(b) = 9*b**3 + 20*b. Determine 8*r(l) + 3*z(l).\nAnswer: 3*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.771 rounded to 1 decimal place?\nAnswer: 36.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5516 - -5527. Solve -x*z - 13 = -24 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0554 - 8.8626. What is z rounded to 1 dp?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*j = 147, 0*j = 3*r + j + 178. Let t = -51 - r. Find the second derivative of -t*i + 16*i**4 + 6*i**2 - 6*i**2 + 3*i wrt i.\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipijipplipilijjliiji. What is prob of picking 1 l and 1 i?\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 9885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 21*x. Let l(j) be the second derivative of 1\/2*j**3 + 0*j**2 - 149*j + 0. Determine m(l(y)).\nAnswer: 63*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-5))**(-10\/17)\/((l\/(l\/(l*l**24)))\/l*l**(-5)*l) assuming l is positive.\nAnswer: l**(-400\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-16)\/(1088\/(-85))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511659 equal to 1511659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 170000 divided by -1700?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1248.2 + -1248.20764. What is j rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1048\/9 + 111091\/954. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**2 - r + 1\/6*r**4 + 1 - 2\/3*r**3. Let w(d) be the first derivative of f(d). Factor w(o).\nAnswer: 2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8645.848 years to months.\nAnswer: 103750.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -2. Let r = 7 + u. Let s = 0 + 1. Is r equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 995 and 115.\nAnswer: 22885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1. Let b(t) = 13*t**2 - 2. Let q(l) = -b(l) - 6*x(l). What is the first derivative of q(a) wrt a?\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2114053100?\nAnswer: -2114053105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**2*p**2 - 574428*l**2 - 2287*l*p**2 - 3*l*p + 437*p**2 wrt p?\nAnswer: -8*l**2 - 4574*l + 874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2 + 5 - q**3 + 10*q**2 + 10. Let n be l(10). Let o = -10 - -15. Solve -5*t = 3*p + n, o*p - 7 - 8 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -6 - 9\/2*a**2 - 27\/2*a - 1\/2*a**3. Solve u(i) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:42 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 1. Let l be a(-1). Suppose 4*u = -4*r + 24, -u - r = -3*u. Let s be (-2 - 22\/(-12))*u. Which is greater: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -93, -148, -219, -312?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y + 4. Let f(i) = -7*i + 3. Let m(t) = -3*f(t) + 2*k(t). Let c(n) = n. Let d(l) = 11*c(l) - 2*m(l). Differentiate d(u) wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8*(-1 - 3). Let j = h - -77. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2421, 9537, 21351, 37863, 59073, 84981?\n\"Answer: 2349*n**2 + 69*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.05594, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80632925.4 rounded to the nearest one million?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/25 and -149\/4200.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 0*t + 7*t + (4 - 3 - 2)*(-t - t - 2*t)*(-15 - 12 + 9).\nAnswer: -70*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227857 divided by -1.\nAnswer: -227857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 2*l + 55. Let j be q(-16). What is the greatest common factor of j and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -273681971818828.\nAnswer: -273681971818832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-128)\/67840*(2\/2 + -2).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 4*n + 2. Let h be z(-2). Let p = h + -3. Suppose 0 = p*y + 3*m, 0*y = 5*y + 2*m - 15. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10194 = -3*t - 1422. Calculate the highest common factor of 238 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*c + 71*c + 9*c**3 + (2*c**2 - 2*c**2 - c**2)*(2 - 2 - c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 72*m**3 + 4*m**2 - 6*m - 11. Is f(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14587 + -29175\/2. Let u = 3 + 2. Which is the closest to -1\/2? (a) u (b) h (c) 12 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58713*15\nAnswer: -880695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + sqrt(228)*-1 + sqrt(228))*-1 + sqrt(228))\/((sqrt(132)*-2)\/sqrt(11)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:36 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -158 and 1481831932.\nAnswer: 1481831774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 10*z + 15 = 5*z, -c + 4*z = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123134*s**3 - 2246252*s**3 + 1123119*s**3 - 77.\nAnswer: s**3 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 771*n - 773*n + 18. Let k(w) be the third derivative of w**5\/12 - 19*w**4\/24 + 10*w**3\/3 + 2*w**2. What is the hundreds digit of k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 3 - (19 + -13 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**7\/63 - 17*v**6\/45 - 23*v**5\/6 - 43*v**4\/2 - 72*v**3 - 144*v**2 + 10*v. Factor c(a).\nAnswer: -2*(a + 3)**3*(a + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 551202214 + -4?\nAnswer: 551202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 8*g - 238 = 5*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 15. Let q = -61 - -93. What is the greatest common divisor of f and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 5*u = -76 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:50 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 152 - 22. Let u = -51 - z. Solve -6 = 2*i - u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 57 - (4\/2 + -3). What is the greatest common divisor of 145 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1677 + -1685. Let f be (-84)\/x + (-8)\/(8\/3). Find t, given that -3\/2*t**4 + 9\/2 - f*t - 3\/2*t**5 + 9*t**3 - 3*t**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11481*g**2*m**2 - 20*g**2*m + 11*g**2 + 9*g*m**2 + 2*g*m + g + m wrt m.\nAnswer: -22962*g**2 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucii when four letters picked without replacement from {u: 2, d: 1, k: 1, a: 1, c: 3, i: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*o = 3, -30*n + 29*n - 4 = 4*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 5 in descending order.\nAnswer: 6, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (323*k - 148*k + 463*k)*(-k + 0*k + 0*k)*(-1 - 1 + 3)*(1 - 3 + 3) in the form a*k**2 + v + w*k and give a.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, 7, 48, 109, 196, 315, 472, 673?\n\"Answer: u**3 + u**2 + 17*u - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 3*g**3 + 0*g**3)*(0 + 0 + 2)*(-7 + 12 + 5).\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1164 - 1070) + 45 + -2?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-633)\/(-90)*2*25\/(-420)*-12 - 10.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -886320*k. Let t(i) = 28*i + 3. What is t(n(u))?\nAnswer: -24816960*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) -86 (c) -94\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 242052 in -0.3, -1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dodd when four letters picked without replacement from {d: 11, o: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -1438?\nAnswer: -1438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.45 + 0.25. Suppose 0*v - 16 = 4*v, p = 5*v + 26. Which is the fourth biggest value? (a) y (b) 2 (c) p (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**7\/21 + 4*k**6\/5 - 22*k**5\/5 + 3*k**4 + 43*k**3\/3 - 30*k**2 + k - 175. Find q, given that l(q) = 0.\nAnswer: -15, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 559 = -51. Suppose 0 = -v + q - 114. Calculate the remainder when (174\/(-4))\/(-3)*2 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m + 3*m)*(3 - 2 + 1) + (4 - 2*m - 4)*(-13 - 4 + 6).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2569 = 5*x - j, 4*x + 3*j - 2048 = 2*j. Suppose 3*c + 177 = -h + 16, 3*h - c = -x. Let k = 110 - h. Round k to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -381120000 to the nearest one million.\nAnswer: -381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 23947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -69, -106, -161, -240, -349, -494, -681?\n\"Answer: -x**3 - 18*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l**2 - 7*l - 4. Let a be m(-3). Let y = -41 - a. What is the greatest common factor of 126 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 - -10203601?\nAnswer: 10203643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 + 42 = 6*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by -26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 3\/5 (c) -1.69 (d) -0.05 (e) 94133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h**2 + 3*h**2 + 12*h**2 + h + 23*h**3 to v*h + i + z*h**3 + k*h**2 and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -29.5. Let l = -3.5 + m. Is l not equal to 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 + 12)\/(4\/1922 - 0). Is (m\/3)\/(-1 + 28\/21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, -3, -8 in increasing order.\nAnswer: -8, -3, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*h)*(-1895 + 13025 + 7075) to v + l*h and give l.\nAnswer: 36410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 + -2 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) -3\/4 (b) -4 (c) -610 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 855454 to the power of 1\/2, to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-2 - 3 + 3)*(0*k + k + k) in the form x*k + w and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 503667 and 6876?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-81)\/(-33)))\/((-170)\/(-10710))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 669 = -253. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17398487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*y + 2 + 2*y - 2*y**3)*(15 - 9 - 59).\nAnswer: 106*y**3 + 106*y - 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 5*b + 5. Calculate the remainder when 14 is divided by r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 88. Suppose -4*t - 8*q = -3*q - 43, -4*t + 50 = -2*q. Let r be 236\/7 + t\/42. Calculate the greatest common divisor of r and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1537758205 divided by 307551641\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c = 14*c + 80 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 3198.\nAnswer: 3198.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9411 (b) -2\/7 (c) 0.2 (d) 19\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*y**5 + 46656*y**4 - 90930576*y**3\/5 + 9824830912*y**2\/5 - 1563255552*y + 1560351744\/5 = 0. What is y?\nAnswer: 2\/5, 228, 1876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16070 + -16069.999999122. What is w rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 57 = 15*o, -12*o + 4*o + 2*f - 10 = -4*o - 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2241*h**3 + 379*h**2 + 2679831*h wrt h?\nAnswer: -13446*h + 758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1045790, 2091543, 3137296, 4183049, 5228802?\n\"Answer: 1045753*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55459, -110916, -166373, -221830, -277287?\n\"Answer: -55457*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 5, 284?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, 0, 5, 101 in ascending order.\nAnswer: -4, -2, 0, 3, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -1)*(-4)\/10. Sort 1, r, -5 in increasing order.\nAnswer: -5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 8*o + 9. Let v be p(6). Let x(c) = c**2 + c. Let m be x(-2). Let n(f) = -f**3 + 4*f - 2 + f - 2*f**2 - m*f - 1. What is n(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.77 + -16.57. Let w = -11.6 - -0.6. Let r = x - w. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -148552, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + 2\/3. Let c = 254743\/14 - 18196. Put -1, l, c in descending order.\nAnswer: l, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72712858691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(2\/53))\/i*i*i)\/i**(6\/11)*i**(-16\/7)\/((i\/i**13)\/i) assuming i is positive.\nAnswer: i**(53896\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -19*k + 1\/48*k**4 - 1\/6*k**3 - 5\/8*k**2 + 0. Determine s so that y(s) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -686331, -686330, -686329, -686328, -686327?\nAnswer: -686326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1017637003 rounded to five dps?\nAnswer: 0.10176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19018 by 74.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 3318710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.1.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/188 and 15\/376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2280\/7 or 327?\nAnswer: 2280\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from qqqqsqqqqqqqqqqqqqq.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651260 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156) + sqrt(156)*-1)*-1)\/(2*(sqrt(108) + sqrt(12)) + -2*sqrt(48)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t**4\/3 - 374*t**3\/3 + 4786*t**2\/3 - 16252*t\/3 - 1456 = 0 for t.\nAnswer: -1\/4, 6, 13, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1212.8 - 1214.8. Let c = -26 + 30. What is the third smallest value in c, q, -436?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15534 + 63537\/4. Let q = -350 + i. Which is the nearest to 1\/6? (a) -0.5 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(68)\/(sqrt(484) + (sqrt(484) - ((sqrt(484) - (sqrt(484) - sqrt(484)*-2) - sqrt(484)) + sqrt(484))))*-1 - (3 + sqrt(1700) + -1)*-1).\nAnswer: 1 + 439*sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*10*45\/300.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 3*y**2 + 9*y**2 - 4*y**2 + 0*y to n*y**2 + p + q*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3 + 0*c + 4*c - c. Let i be u(4). Calculate the highest common divisor of 63 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66 + 39)*(391\/23 + -18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -423315 + -999114\nAnswer: -1422429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*m - 12, -j - 8*m + 267 = 291. Factor z + j + 1\/2*z**3 - 3\/2*z**2.\nAnswer: z*(z - 2)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 1, v: 4, b: 1, c: 2}. Give prob of picking 1 u and 1 s.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33094, 32981, 32796, 32545, 32234, 31869?\nAnswer: 31456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**3\/12 + 253*n**2\/4 - 64009*n\/4 + 125. Solve v(x) = 0 for x.\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n + 3. Let x be t(17). Let v = 104 + x. What is the second smallest value in v, -15\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 113*q**2 - 10*q + 14. What are the prime factors of i(-3)?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1687*n = 1967*n - 2240 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 6*j - 23 + (0 + 0 - 2)*(5*j - 2*j - j))*(4*j + j - 4*j) in the form n + m*j**2 + r*j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92 + -14056.32577772.\nAnswer: -13964.32577772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*w + 6 = 0, 0*s - s - 2*w - 6 = 0. Let y(b) = b**3 + 6*b**2 - b. Let q be y(s). What is the units digit of 64\/q + (-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 195 = -4*z, 216 = 5*z + 3*t - 6*t. Let q = z - 47. List the prime factors of 3*(136\/(-12))\/q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -467879765 divided by 93575953\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 9*m**2 + 4*m**2)*((-3*m + 3*m - 2*m)*(2 - 4 - 1) + 3*m - 6*m + 4*m + 2*m - 2*m + 3*m + (-1 + 1 + 4*m)*(0 - 3 + 1)).\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -0.3, 1, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61463\/9 - 6887. Let p = v + 58. What is the second smallest value in 2\/7, 4\/5, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38290867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5005, -4811, -4617, -4423, -4229?\n\"Answer: 194*y - 5199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11086, 10941, 10796, 10651?\nAnswer: 10506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -981*s + 5088*s - 402 + 1081 wrt s?\nAnswer: 4107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/120 - 7*y**5\/60 + 3*y**4\/8 - 8*y**3\/3 + y**2. Let b be k(6). Let v(a) = -3*a - 2. What is v(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76510 - 10558453\/138. Let z = 2\/69 + g. What is the closest to 0 in -0.1, z, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 75. Let s = 63\/2 - x. What is the second biggest value in s, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 18 = -428*r + 432*r, -4*j = 5*r + 23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101000 + 100?\nAnswer: -10010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2416 and 219554?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/420 and -3\/412?\nAnswer: 43260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1043*h**2 - 2139*h**2 + 485*h**2 + (6 - 6 + 9*h**2)*(1 - 2 + 2)*(0 - 3 + 1) in the form u*h + w*h**2 + n and give w.\nAnswer: -2715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19907 (base 14) in base 7?\nAnswer: 360110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 725*f**2*h**3 + 2*f**2*h + 88*f*h**3 + 4*f*h - 59*f - 25*h**3 - 56*h**2 - 4*h wrt h?\nAnswer: 4350*f**2 + 528*f - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/25 - (-3)\/15. Solve -z + 0*y - 11 = -2*y, -4*z - l*y = 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47913857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, j: 1, t: 8}. What is prob of picking 2 t?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -18*b - 213. Let p be t(-12). Suppose 1 = 3*f - 5. Suppose -4*u + 41 = -f*a + 3, 2*u + 3*a - 15 = 0. Solve -p*k = -0*k - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 40615*k - 40616*k + 11, 3*s - 4*k = s + 46 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x = z - 19, 0 = 2*x - 5*z + 7. Let d be (-2 - (1 - x))*2. Suppose 2*f + 2*q + q - 42 = 0, -4*f - d*q = -84. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 3. Let z be (-12)\/(-2 - 14\/(-4)). Let n(l) = 6*l + 8. What is z*k(r) + 3*n(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n + 22*n - 19*n - 16*n - 4*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 7*v**2 + 9*v - 4. Let r be t(8). Solve 0 = -q + 2 - r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**35*(l**(-11)*l)\/l**(-1\/7) assuming l is positive.\nAnswer: l**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2435*c - 82775. What is v(-34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 212*g - 211. Calculate a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, -1, -1\/3, -5 in increasing order.\nAnswer: -5, -1, -1\/3, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1600, 3203, 4806, 6409?\n\"Answer: 1603*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 1.2, 1.4, 7 in ascending order.\nAnswer: -87, 1.2, 1.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/97 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*(1022\/(-365))\/((-3)\/15)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212760 and 324216.\nAnswer: 319352760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -41. Let d = -5 + t. What is the nearest to 2\/3 in -3\/5, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -3*g**4\/8 - g**2 + 8*g. Let b(c) be the first derivative of 10*c**3 - 247. What is b(h(p))?\nAnswer: 2430*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-1105)\/30)\/(-17) + -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 64*x**2 - 1010*x + 113. What is z(36)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10947 (base 14) in base 5?\nAnswer: 2241433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 113*v**2 - 1241*v + 42. Let p(y) = 97*y**2 - 1240*y + 42. Let f(g) = -4*p(g) + 5*s(g). Find x, given that f(x) = 0.\nAnswer: 2\/59, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**5 - 830*b**4 + 36490*b**3 - 627340*b**2 + 3956505*b - 3364830 = 0. Calculate b.\nAnswer: 1, 14, 21, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/15*((-28)\/8 + 6). Suppose c*g - 882 - 886 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 6:23 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 6*j**2 - 5*j. Let f be v(5). Let b = 20876 + -20883. Sort f, b, 3, 2 in decreasing order.\nAnswer: 3, 2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4967461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12530 and -2.52363952.\nAnswer: 12527.47636048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + z)*(0 + 0 + 2*z**3) + (z**4 - 4*z**4 + 4*z**4)*(1 - 2 + 3)*(-6 + 8 + 5) as o*z**3 + a*z**2 + y*z + b*z**4 + q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.27 + -0.37. Which is the nearest to 2? (a) -5 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, a: 14}. Give prob of sequence ax.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-4)*6\/9. List the prime factors of 150\/8 + h\/12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozzzo. Give prob of sequence zoo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003642 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -13642?\nAnswer: -13643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*p - 182 + 182)*(0*p**2 - 2*p**2 + p**2)*(-2 + 1 + 3)*(27 - 13 - 16 - 9*p) as i*p**4 + a + c*p**2 + b*p**3 + z*p and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c + t - 3371 = 0, -5*c = -3*t + 4219. Let q = 2020 + c. List the prime factors of q.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Suppose s = -4*t + t + 21. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970640 divided by -84?\nAnswer: -23460","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 3*(-1 + -1). Let t(g) = 3*g - 4. Let q be t(6). Suppose q = n*v - v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**4 - 6*r**4 + 2*r**4 + (0*r**3 + 0*r**3 - r**4)*(-5 - 3 + 1) - 3*r + r**4 + 3*r)*((-4*r - 2 + 2)*(-4 - 3 + 5) + 13 - 7*r - 13).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1843441028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 4, 0, 2, -1\/6, -36268\/55 in decreasing order.\nAnswer: 4, 2, 4\/3, 0, -1\/6, -36268\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-176)\/10)*(-7)\/(210\/(-24))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13377 = -22*q - 27*q. Put q, -3, 2 in increasing order.\nAnswer: -3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a06 (base 13) in base 5?\nAnswer: 143330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = b + 43, -4*b - 4 = -0. Let m(k) = 15*k**2 - 3*k. Suppose -3 = -2*j + 3. Let n be m(j). Calculate the greatest common factor of h and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3866189 and 1322?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 52156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2 + 328*j - 583*j**4 - 88 - 80 + 167 - j**2 + 63*j wrt j.\nAnswer: -6996*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -26. Let u(n) = -3*n - 3. Let p be u(-2). Suppose -2*g = g + p*v - 15, 0 = -4*g + 2*v + 20. What is the remainder when t is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.62 and -4.3943?\nAnswer: -7.118766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 376*b - 49. Let g be (28\/8 + -4)\/((-3)\/12). Is d(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, -6, 2, 97, 3 in decreasing order.\nAnswer: 97, 4, 3, 2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2091 is divided by 141?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0*y**3 - 1\/90*y**5 + 1\/315*y**7 + 0*y + 3*y**2 + 0*y**4 - 1\/180*y**6 + 0 + 1\/504*y**8. Suppose m(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 5:13 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l + 2. Let i be k(8). Suppose 5*v - 2*q + 3*q = 100, 0 = v - q - i. List the prime factors of (-14)\/v*21\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y + 152. What are the prime factors of o(0)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9312, -18623, -27934, -37245, -46556?\nAnswer: -55867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 8*r - 2*r. Is 3\/(r\/(-226))*1*-28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -20*z + 3. Let t be d(2). Let r = -21 - t. Solve p = 5*p + r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**2\/2 + 12. Let x be q(0). Let n = 148 + -1330\/9. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*q - 7 - 15, -12 = -3*d + 3*q. Suppose 2*u - d = -3. Suppose -4*b - b - 76 = -4*m, 28 = u*m - 5*b. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-133 - -145)*(3 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/208 and 157\/1170.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4014.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 2*n = -9*q - 4*q + 23, -4*q + 102 = 2*n for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -296 + 292. Let t(o) = 13*o**2 - 4*o + 3. Let v(z) = -7*z**2 + 2*z - 2. What is k*t(b) - 7*v(b)?\nAnswer: -3*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-9)*v)**(19\/4))**(1\/14))**(-1\/20) assuming v is positive.\nAnswer: v**(19\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 a when four letters picked without replacement from tggcaccggccggaggga?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15600, -30917, -46224, -61515, -76784, -92025?\n\"Answer: c**3 - c**2 - 15321*c - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60333 divided by -610?\nAnswer: -60333\/610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(110)\/sqrt(10) + 5 + sqrt(176))**2.\nAnswer: 90*sqrt(11) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34622, 34649, 34716, 34841, 35042?\nAnswer: 35337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79463?\nAnswer: 229, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-2088)\/64)*(0 + -1)\/1?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i = -30*i + 390. What is the nearest to 2 in 0, i, -0.2, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-4)*(-231)\/(-30) and 59\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -5181406?\nAnswer: 5181405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47899 by 6.\nAnswer: -47899\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -23750*i + 23745*i - 28, 0 = 5*h + 108*i + 879 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.4 + -64.6. Let l = k + 74.5. What is the nearest to 1\/3 in 0, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-14))\/(-11) + (-54)\/(-105)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -13. Let w = -15 - i. Let l = 0 - w. Which is the second smallest value? (a) l (b) -1\/7 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 119?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + 12. Suppose -61*i + 24 = -57*i. Let c = 8 + i. What is the remainder when x is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7388, 7387, 7386, 7385, 7384?\n\"Answer: -r + 7389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 2 + 0 + 1 + 1. Let j(a) = 2*a + 17. What is the remainder when j(f) is divided by ((140\/25)\/(-7))\/(1\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*c - 0. Let q = 1174 + -1162. What is the remainder when q is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 44 = 1038. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5*w*w)\/w**(-5))\/(w\/w**5*w**1) assuming w is positive.\nAnswer: w**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 733313 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 275, 19, -333, -775, -1301?\n\"Answer: u**3 - 54*u**2 - 101*u + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.2. Let u = 170.4 + -141. Let h = 29 - u. What is the third biggest value in d, 1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 - 12 = -2*m, 5*m - 2*r = 29. Let a be (0 - -10)*(-4 + 6). What is the greatest common divisor of m and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 42 = 3*p, 2*t - 26 = 3*p + 3. Solve 0 = 4*d + u - t, -4*d + 27 = -d - 5*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 165000*x**2 - 4956255*x - 57967650.\nAnswer: 5*(x - 39)*(x + 9)*(x + 33030)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41174?\nAnswer: 2, 7, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y - 507 = -171 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5018512312 to the power of 1\/3, to the nearest integer?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(12\/5))\/(b**(-2\/15)\/b))\/((b\/(b**7*b))\/b**(2\/3)) assuming b is positive.\nAnswer: b**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -2*p**5\/15 + p**4\/2 - p**3 + 5*p**2 + 4. What is the derivative of b(m) wrt m?\nAnswer: -16*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 3*f + 2*f - 9*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -47*q + 102*q + 19 - 54*q. Calculate the remainder when i(-6) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 21*m**3 + 2*m**2 - 2*m + 5. Let u(x) = -21*x**3 - x**2 + 2*x - 4. What is 2*d(r) + 3*u(r)?\nAnswer: -21*r**3 + r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 4*p - 37 + 37.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3283121 by -3293.\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2000, -2121, -2302, -2555, -2892, -3325?\nAnswer: -3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125944310 to the power of 1\/4, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11001020122 - -11?\nAnswer: 11001020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 211585888 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 18. Solve -k*q = q + 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288)*-1)\/sqrt(12))\/(sqrt(243)*1))\/((-3*sqrt(36) + (sqrt(96)\/sqrt(4))\/sqrt(6))*-3).\nAnswer: -sqrt(2)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*w + 21. Solve w*m = 8*m + 65 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 - 3*m - 2. Let v be s(-5). Suppose 0 = 5*y + v - 3, 4*h = 4*y + 24. Suppose h*p - 59 = 85. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314 + 164 + 6979*t**2 + 150.\nAnswer: 6979*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 1, k: 1, s: 1, y: 1, g: 2}. Give prob of sequence skg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 136\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3680 and 640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 4128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 10:23 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 - 15*f**2 - 23*f - 47. Determine h(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093.5877 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 436445 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 1\/3*h**3 + 7\/30*h**5 + 3*h**2 + 13\/24*h**4 + 0*h + 0. Let d(k) = -k**2. Let z(u) = 3*d(u) - 3*m(u). Solve z(l) = 0 for l.\nAnswer: -2\/3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + -4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297013 and 14648318?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 16*q**2 + 14*q + q + 12*q + 7*q - q**3 + 39. Calculate the least common multiple of y(18) and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7888\/238 - (27 - 0) - -1*12\/14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 2. Let r(x) = -6*x + 10. What is -16*o(l) + 3*r(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:45 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0 - -5*(-40)\/(-50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -14. Suppose h + 3 = c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418, 1048, 5048, 12854, 25738, 44972, 71828, 107578?\nAnswer: 153494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170 - -175. Suppose -5*i - 5 - 5 = 0, 3*r - 5*i = 16. Suppose -15 = -3*f - r*u + 41, -2*u - 72 = -j*f. What is the highest common divisor of 40 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3846*a**5 - 80*a**5 - 3279*a**2 - 8558*a + 3279*a**2 wrt a.\nAnswer: -78520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, -0.1, 3\/34, 0.04 in ascending order.\nAnswer: -2, -0.5, -0.1, 0.04, 3\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/523 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1425 - 1236. What is the highest common factor of 8883 and m?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 282, -4, 104508 in descending order.\nAnswer: 104508, 282, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 15 = q + 3*x, -4*x - 8 = -q. Suppose 0 = -y + m + 37, 2*m + 2*m = -q. Suppose -s - y = -255. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-48)*-433 - -2. Let y = a + 25. Let z = 9\/112 - y. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 805439667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*d + 3206 - 1625 = -2038 - 3575 for d.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1377) + 1 + -4 + 2)**2 + -3 + (sqrt(1377) - (-4 + sqrt(1377)*-2)) + -2.\nAnswer: -45*sqrt(17) + 1392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*y**2 - 1958*y**2 + 871*y**2 - 3.\nAnswer: -237*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857 = 6*s - 21133. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 7*n**3\/3 + 5*n**2 + n - 4. Is 27 a factor of l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27 - 128 - 3\/(6\/8). Let b be 1*q - 25\/(350\/28). Is b not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 895 and 68015.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93.903 + 0.3324.\nAnswer: 94.2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -2 - -2659) + 7. Let b = i + -1827. What are the prime factors of b?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.033158 milligrams to tonnes.\nAnswer: 0.000000005033158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*m - 5, 4*q + 3*m - m - 70 = 0. Find the third derivative of -q*z**2 - z**2 - 6*z**2 - 22*z**3 + 33*z**3 wrt z.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -572*v**6 + 383*v**5 - 6234*v**2 - 67*v.\nAnswer: -68640*v**3 + 22980*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3256 - -3264. Calculate the smallest common multiple of 192 and g.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*p**3 + 8*p**2 - 3.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*h - h = 12, -16 = -z - 4*h. Suppose z*x - 3 = 3*x. Let w(b) = -3*b + 1. Calculate w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-16)*2*18\/(-210)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (9 - 5 - (-7 - -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*g + 2*x, -4*g - 2*x + 120 = 100 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**3\/3 + 7. Let z(q) be the first derivative of 9 + 0*q**2 + 4\/3*q**3 + 0*q. Calculate z(r(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 6*v + 1. Suppose 7*d = 6*d + 6. Calculate s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:02 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -2559667, -5 in decreasing order.\nAnswer: 5, -2, -5, -2559667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*l - 373 = -61*l + 353 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x**0))\/x**(-5))\/(x**7\/x**(-3\/7)))**(-2\/33))**39 assuming x is positive.\nAnswer: x**(442\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-203)\/35 + (55\/(-25) - -2). Let l(r) = -24*r - 7. Let i(v) = 23*v + 6. Calculate w*i(c) - 5*l(c).\nAnswer: -18*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(((f*(f**(-4)\/f)\/f)\/f)\/f)\/f)\/f*f)\/f*f**11)\/((f\/(f*f**(-4\/9))*f)\/(f*f\/(f\/((f**(-1\/2)\/f)\/f)))) assuming f is positive.\nAnswer: f**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -11\/60*b**5 + 1\/12*b**4 - 1\/30*b**7 + 2\/15*b**6 + 0 + b**2 + 0*b**3 + 0*b. Factor v(s).\nAnswer: -s*(s - 1)**2*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 868636696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 250\/5*(-3 - (0 + 1)). Let v = -195 - k. Solve v*o + 4*h = -21, -5*o + 2*h + 0 = 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 3*d + 48. Sort d, 4, 2 in descending order.\nAnswer: d, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010220000 (base 3) in base 5?\nAnswer: -22342130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -15. Solve -b = a*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288.3 less than -0.108?\nAnswer: -1288.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*n + 30, 0 = -3*j - 2*n - 861. Is -287 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 264920 or 1\/2?\nAnswer: 264920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36103204 by -9025801.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 18. Find the common denominator of -55\/13 and ((-9)\/45)\/(x\/230).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + o - 10 + 2, 4*o = -3*c + 17. Suppose 8*n + c*n = 429. Calculate the highest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/7*6*(-16)\/(-240)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 43*d - 210. Give r(20).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.018 in 1.45, -0.5, 23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -1) + 0 - -5. Solve c = h - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842*d - 2 + 2 - 1989*d + 1123*d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 2. Let z be r(1). Solve z = -4*u - 10 - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83768446 a multiple of 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 28135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*i**2 + 238*i**2 + 246*i**2 + 212*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*f + 2378 = 0, 5*f - 782 - 630 = -3*k. Let m = k + -126. Is 58 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980662406 a multiple of 11041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 4*p - 10*p)*(4 + 0 - 1).\nAnswer: -39*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 59.999784. Round l to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 10. Let u(w) = -3*w - 11. Suppose 3*d + 2*d = -2*a + 55, 4*a - 86 = -2*d. Let y = -17 + a. Let r(n) = y*u(n) + 4*q(n). Give r(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -0.01, 0.1, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3 + (13 - 365\/30).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*d = 26, -15*b + 10*b - 25 = d. Let x(l) = l**3 + 7*l**2 + 4*l + 10. Determine x(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -4.3. Let u = r + -8. Let d = 15 + -14. Which is the nearest to -1\/3? (a) -1 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 16. Let t = l + 0. Suppose t*x - 11 = -2. Solve -4*w + 5*p + 0 = -x, -2*p = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050070378.\nAnswer: 2, 29, 1218829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77208520*k**3 + 76168725*k**2 wrt k.\nAnswer: -463251120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10.98 or 12253?\nAnswer: 12253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 3*j**2 - j - 3. Let k be u(-3). Suppose 3 = 3*n - k*n. Let s = -1.2 + 0.2. Which is the nearest to s? (a) -4 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and -57?\nAnswer: 56.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 2\/1)*2. Suppose -7*d + 15 = -i*d, -9 = -u - 2*d. Suppose -u*g = 546 - 4746. Round g to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i, 3*f - 2*i + 0*i + 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930970144.\nAnswer: 2, 60342817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290348067.\nAnswer: 3, 23, 4207943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -14*l + 70. Let o be w(5). Suppose 268 = f - p, -2*f + f + 2*p + 268 = o. What is the remainder when f is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -0.7, -3\/4 in ascending order.\nAnswer: -3\/4, -0.7, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002467663 rounded to seven decimal places?\nAnswer: -0.0002468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 347 and 184604.\nAnswer: 184604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -17. Which is the second smallest value? (a) r (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3754421 (base 8) to base 15.\nAnswer: -157b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/5)\/(38\/190). Let r be (v\/3 + 0 + -3)\/(-1). Is r smaller than -3\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*o = -8*n - 987*o + 76, 2*n = -3*o + 31 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1607899 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 738 and 801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*l - 4*l + 44 = 0, -3*l = -3*s + 39. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, s: 1, r: 5, v: 2, t: 2, y: 1}. What is prob of sequence stv?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.8 + -8.3. What is the third smallest value in -4, -6, c, 17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -23, -52, -95, -152, -223, -308?\n\"Answer: -7*v**2 + 6*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 11 - 11 - 12*k + 7*k - k + (-5 - 4 + 3)*(-2*k + 3*k - 3*k))*(-7 - 6 - 6).\nAnswer: -133*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 29. Let s be h(0). Let r = -3216.1 + 3213.1. What is the closest to 1 in r, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 - 2*h + 1. Let c be -4 + -2 + 1 + 2. Let r be l(c). Suppose -q = -r - 37. Calculate the highest common factor of 132 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 17*y**3 - 7*y**3.\nAnswer: -24*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15866 - 1813?\nAnswer: -17679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 34*m + 12. Let g be j(7). Find the second derivative of 14*p - g + 250 - 10*p**2 wrt p.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -53158 (b) 1\/61 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 0) + -6 - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1881*u + 1889*u - 230*u**3 - 3770*u - 4740*u**2 - 8*u**5 wrt u?\nAnswer: -480*u**2 - 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*68\/561*3\/(-54)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -29*d + 1581. What is the derivative of 174 + 52*j + 48*j - 155*j + j**3 + d*j wrt j?\nAnswer: 3*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from hhgzkgzhkhzh?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 3480844.0761.\nAnswer: 3480844.3761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11607 and 6789.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -458178 less than or equal to -458178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 6, 3\/5, -1\/24, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489149?\nAnswer: 31, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2768 divided by -22983.\nAnswer: 2768\/22983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-6)\/5)*(-528)\/(-440).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2. Let k(q) = -3*q - 1. Let o be k(-1). Let c(v) be the first derivative of 2 - v**o - 5 + 5. What is c(a(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 52 = -200. Suppose r - o = -2*r. Solve 3*q + r = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + 918\/(-12). Let r be 24\/30 - l\/(-70). Sort 16, r, 1 in ascending order.\nAnswer: r, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5.1, -60, 0.3, -6, 2 in increasing order.\nAnswer: -60, -6, 0.3, 2, 5.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 + 2*z**2)*(2*z**2 - 4*z**2 - z**2 + 11*z**2 - 10*z**2 + 7*z**2 + (0 + 0 + 2*z)*(-4*z - z + 3*z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51332 and 12?\nAnswer: 153996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -14. Let w be 207 - ((-4)\/12*-9 + -6). Let h be 1\/(-5) - (-112)\/w. Which is the closest to h? (a) 3 (b) 3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4087942 by -2.\nAnswer: 2043971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14581515 from 462094.\nAnswer: 15043609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h**(-7)*h)\/h)*h)\/h)\/h)**49\/(h**(-2\/49)*h\/h**(2\/29)*h*h) assuming h is positive.\nAnswer: h**(483296\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/5? (a) 0 (b) -36 (c) -1\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351221 is divided by 23414?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07143385902 - 902.38.\nAnswer: -902.45143385902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-2))\/9)\/(10815\/2884).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w + 20. Suppose q = -w*u + 35, 0 = q - u + 3*u - 29. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7367, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) + sqrt(171) + sqrt(171)*-1 + sqrt(171)) - sqrt(171))\/(sqrt(900) + sqrt(900)*2) - (6*-2*sqrt(76) - (0 + (sqrt(76)*1 - sqrt(76)))).\nAnswer: 145*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ughkkih. What is prob of picking 1 u and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avva when four letters picked without replacement from {v: 5, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 90.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -195, 0, 143, -3, 13 in increasing order.\nAnswer: -195, -5, -3, 0, 13, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -38545 < -38685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29643 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 14 = 10*u - 7*u, -4*u - 2*b = 0. Factor -15\/7*w**u - 9\/7*w**3 + 12\/7 + 12\/7*w.\nAnswer: -3*(w - 1)*(w + 2)*(3*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let b(h) = h**2. Let s(j) = 2*j**2 + 1. Let y(g) = 3*b(g) - s(g). Let t be 5\/(-10) - (-5)\/2. Let d be y(t). Determine r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117029 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 3. Let k be d(-3). Suppose 2*z - 22 = -k*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -52.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 3*q**2 + q + 2. Let i be p(-2). Solve 5*h = -3*v + 6 - 14, 0 = -i*h - 4*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 953802.8 kilograms?\nAnswer: 953.8028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 112, 66, 12, -44, -96, -138, -164?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1322244*n*o**3 - 7*n*o**2 + 121*n*o - 12*n + 2*o**3 + 25*o**2 wrt o.\nAnswer: 7933464*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4 - -5))\/(2 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**7\/56 - 3*c**6\/20 - 3*c**5\/20 + 3*c**4\/8 + 5*c**3\/8 + 10*c. Solve g(y) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let j(b) = -b**3 + 6*b**2 + 6*b + 9. Let o be j(7). Let d(n) = 2*n - 7*n + 2*n + o*n. Determine z(d(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/9 + 11*l\/9.\nAnswer: l*(l + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.07 - 4. Let j = y + -4.07. Which is the biggest value? (a) -1\/3 (b) j (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + ((6 - 41) + 10 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -30*v + 12. Let i(x) = 12*x - 1. Suppose -5*m = -159 + 134. Let r(p) = -12*p. Let z(c) = m*i(c) + 4*r(c). What is 5*q(a) + 12*z(a)?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 + 888200*u**2\/3 - 10953578*u\/3 + 1184168 = 0. What is u?\nAnswer: 1\/3, 12, 148021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 776800232 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqjisiiiif. What is prob of picking 3 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 258 - 255. Let n(j) = 614*j**3 - 1235*j**3 + 11*j + 5 + 620*j**i - 4*j**2 - 4*j. Let l = -12 + 7. Determine n(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26460963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/20)\/(170\/(-51)*(-18)\/(-45)).\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 9. Suppose -k*x + 11 + 17 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 + 492*m - 490 = 0 for m.\nAnswer: 1, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 10*k**2 - 11*k + 11. Let d be i(11). Solve -2*x = h + d, -2*h + 0*h = -5*x - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*l**2*z**2 - 26*l**2 + 409*z**2 - 2 with respect to l.\nAnswer: -38*l*z**2 - 52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 2 + 2 + (-1 - 1 + 1)*(6 - 3*u**2 - 6) + 4*u**2 - u**2 + 0*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000.0304 minutes to days.\nAnswer: 1.38891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from dddadasdsgdsg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 390.3232 millennia?\nAnswer: 390323.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2 (c) -4 (d) 3 (e) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*i + 4*t, 5*t = -i - 2*i + 30. Let c be (-110)\/(-25) + (-6)\/i. Let d(p) = p**2 - 3*p + 2. Give d(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2341866538.\nAnswer: 2, 11, 97, 127, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 564 and 780?\nAnswer: 36660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 = 5. Let v(y) = 1. Let z(x) = x - 3. Let m(i) = b*v(i) + 2*z(i). Let u(f) = 2*f. Give m(u(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z. Suppose z = -5*f + 4*f + 4. Suppose f*b = -l + 3*l + 18, -2 = -2*l. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-3))\/n*n\/(n*(n\/(n**(1\/8)*n))\/n))\/(n\/((n**1\/n)\/n))**(-7\/4))\/((n\/(n**(-7)\/n))\/n**(-3\/7)*((n\/(n**(2\/5)\/n*n)*n*n)\/n)\/n**3) assuming n is positive.\nAnswer: n**(-113\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y + y**2 - 2884 - y + 2884 + 3*y. Suppose 0 = -c - 0*x + 3*x - 15, 4*c + 3*x = -15. What is p(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165730265 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let h(z) = -7 + 12 - 30*z - 5. Determine h(x(c)).\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 + v**4 + 2*v**4)*(-2 + 1 + 0) + 0*v**4 + 2*v**4 + 13 - 8.\nAnswer: v**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 17*k + 6. What is the tens digit of f(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 1 x when three letters picked without replacement from xfccpdxzdxxd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7620772 and 73744?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -488 + 2442\/5. Which is the smallest value? (a) -7 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 154\/(-35)*10\/(-4). Solve -3*g = -c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 12\/11 (c) 973 (d) 0.5 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-432)\/(-243)) + -2 - 106\/(-24)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1*sqrt(3) + -3 - sqrt(3)) + sqrt(12)\/(sqrt(8)\/sqrt(2)).\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 67*t**2 + 9*t - 6. Let p be -5 + 2\/(-6) + (-550)\/(-66). What is the units digit of y(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 122394.4864404 and -1.2?\nAnswer: 122395.6864404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 574\/(-35) - 18\/30\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2547 + -2207. Calculate the greatest common divisor of 289 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3\/8 - 24111*g**2\/8 - 111060*g - 480000 = 0. Calculate g.\nAnswer: -8000, -32, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 647 + -646. Is (-9444)\/(-12)*(0 + t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1546101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 51 (b) -5 (c) 0.2 (d) -4\/5 (e) 3538\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0396537 rounded to four dps?\nAnswer: 0.0397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**4\/3 - 35*x**3\/3 - 29*x**2 - 40*x\/3 + 16\/3 = 0.\nAnswer: -4, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k - 1. Let b(f) = -8*f - 1. Let i = 164 + -166. Calculate i*o(s) + 3*b(s).\nAnswer: -6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 31297*p**2 + 36726*p**2)*(0*p**2 - 2*p**2 + 0*p**2).\nAnswer: -10858*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6493)\/430)\/(-151)*(-25)\/(-4)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/9, 0, 6 in decreasing order.\nAnswer: 6, 1, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 2. Calculate f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2\/5 + 1148964*w\/5 - 4595904\/5 = 0.\nAnswer: -382992, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -337246.\nAnswer: -6\/168623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7940*g**3\/3 + 79402*g**2\/3 - 198520*g\/3 + 50\/3 = 0.\nAnswer: 1\/3970, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 19*g + 33 = 0. Let b = g + -29. Solve -3*u + 2 = -b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31818, -31823, -31828, -31833, -31838?\n\"Answer: -5*l - 31813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/31)\/(f*f**(-4)) assuming f is positive.\nAnswer: f**(92\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.936 - 0.064. Let b = -49.49165 - -5.47785. Let y = b - o. What is y rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x - 15. Let z be (-9)\/15 - (-2)\/x. Let r = -91\/4 - -993\/44. Which is greater: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51282 and 72?\nAnswer: 205128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 488, 1113, 1992, 3125, 4512?\nAnswer: 6153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10612691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(4\/9)*y)\/(y**(-2\/15)*y))\/(y\/y**(1\/2)*y)**(-18) assuming y is positive.\nAnswer: y**(1286\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**1*j))\/j**(-7))\/(j**5\/j*j**(1\/7)) assuming j is positive.\nAnswer: j**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/80 and -97\/7984?\nAnswer: 39920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**3 - m**2 + 3*m + 2. Give u(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = 0, -k = -4*w - 4 - 67. Let a = w - -22. Calculate the lowest common multiple of a and (10 - 0) + (-10 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 9, 3, -9, -112\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298348584 to the nearest integer?\nAnswer: 17273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b - 13. Let c(r) = 6*r - 14. Let u(p) = -4*c(p) + 5*w(p). Let t be u(11). Find the third derivative of t*q**3 - 5*q**3 - 5*q**2 - q**2 wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-3))\/(-1))\/((-51)\/(-6)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001088 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 8:18 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -244*a + 1213. Give i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 363852 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 1\/4, 1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13181080 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -4, 7 in decreasing order.\nAnswer: 15, 7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*v + 403 - 151 = -123*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10 + 1)*((-3 + 0 + 2)*(3*t - 4*t + 2*t) - t + 0*t - t)*(-1313 + 237 - 1636 + 202).\nAnswer: 45180*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, l: 2, h: 1, n: 1, t: 7, d: 4}. Give prob of picking 1 d, 1 l, and 2 t.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 310.5578 millennia?\nAnswer: 3105.578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*1)**2*-1*-5.\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2185*f + 1082*f + 790 + 1105*f)*(-3 + 2 - 2).\nAnswer: -6*f - 2370","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010000111101111 (base 2) to base 14.\nAnswer: -2adc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-56))\/((-2100)\/(-840))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 9. Let h be m(-7). Let a = h - 4. Suppose -5*q + 31 - a = 2*b, 7 = 3*q - b. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*o - 3*j, 13*o + 938*j = 936*j - 25 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*((sqrt(1573) - 6*(sqrt(1573) + 0)) + sqrt(1573)) - (sqrt(1573) + -1 + 1 - sqrt(1573)*-2*1)*2)**2 + 1.\nAnswer: 1144*sqrt(13) + 1063353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - -0.07. Let t = -0.07 + f. What is the second biggest value in -3, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284736 = 187*v - 297395. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {h: 2, g: 2, n: 2, a: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 15 = -0*m. Suppose m*i - 4 = 6. Solve -3*b - 6 = -i*n, -n - 1 = -4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108882*l**3 + 3 - 2 - 108888*l**3 + l**4 + 5*l - 6*l**2 to the form a*l + w*l**3 + z*l**4 + n + b*l**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 349 + -330. What is the remainder when (1 - 2)\/(1\/(-75)) is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from japjpppwjpd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.593 - 0.093. Let d = 22 - a. Suppose -4 = 4*w + 4*f, -5*w + 2*w + 5*f = -21. What is the closest to -0.2 in w, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/9*54\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -4\/3 (b) -4 (c) 1 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -970\nAnswer: 6790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15 - 1)\/(2\/(-2)). Let h = -8 - k. Let q(d) = -d**2 + d. Let c(r) = -7*r**2 + 6*r. Let f = 0 + -1. Give f*c(y) + h*q(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1276585 and 18905?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Express 39 + 2365*n - 1210*n - 1149*n as r*n + t and give t.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1405360 and -8\/439175.\nAnswer: 7026800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 38?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.92768+-0.2\nAnswer: 2.72768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -1. Let g = s - 8. Suppose 2*q + 3*v = -0*q + 185, 0 = -g*q + 4*v + 360. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6366227 divided by 49.\nAnswer: -129923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 84*x - 1. Let f(o) = -684*o + 8. Let y(m) = 24*a(m) + 3*f(m). Let t(r) = -47*r - 2. Calculate t(y(c)).\nAnswer: 1692*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21122210101 (base 3) to base 11\nAnswer: a3297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48466372 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2827 + u - 4*u - 5530 + 2703.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 11, -6, -61, -166?\n\"Answer: -2*x**3 - x**2 + 26*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 112 - 334 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653\/12 <= 220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 11*w**2 + 24*w - 23. Let d be r(-13). Suppose -2*h = -3*j + 2, -2*j + j = h + 6. Let i = h - -8. Solve -d*z = z - i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12 = 2*i. Let x(l) = l**3 - 28*l**2 + 26*l + 31. Let o be x(27). Calculate the greatest common factor of i and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 35 = 10. Let h(w) = 26*w - 784. Let s be h(30). What is the common denominator of -79\/8 and -4 + r + 77\/s + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -17. Suppose -4*i - 6*i = -q. Let a be 210\/45 - (-2)\/i. Let l(c) = 2*c - 3. Give l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let l(c) = 3*c. Let g(j) = -h(j) + l(j). Suppose 0 = -3*b + b + 6. List the prime factors of g(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36471616 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 13 - 30 = -3. Solve -13*p + 17*p = 4*b - s, -3*p = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6*b = -93*b - 60*b + 14*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 12*i + 25. Let s be n(10). Suppose -16 = 5*l + 9. Put 0, s, 4, l in descending order.\nAnswer: s, 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or 85?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k + 5. What is x(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 33, 69, 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 9*d**2 + 12*d - 15. Let j be g(10). What is the third smallest value in 2, 2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10112 divided by -8\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 262238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-36))\/((-1)\/89) and -61\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10531, 10641, 10747, 10849?\n\"Answer: -2*g**2 + 116*g + 10417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15305225 is divided by 15305203.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001273 to 6 decimal places.\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 117*m - 6. Let s(v) = 2. Let h(u) = q(u) + 3*s(u). Let z(p) = -p**2. Determine h(z(o)).\nAnswer: -117*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1809644*o**4 - 167*o**3 - 258484*o**2 + 7*o + 16?\nAnswer: -43431456*o - 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4601?\nAnswer: 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 6:25 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 48*l + 54. Let p(a) = -a**2 - 50*a + 54. Let b(t) = -3*g(t) + 4*p(t). Let b(x) = 0. Calculate x.\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/5 (b) 1 (c) 0.2 (d) -64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -23*m + 36. What is u(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.42 + 0.32. What is the nearest to 2\/3 in 2, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -534213, -534211, -534209?\n\"Answer: 2*v - 534215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 6*n + 1. Suppose 2*r + 28 = 2*o, -4*r + 3*o - 24 = 27. Let f be (-56)\/21*r\/(-4). Determine x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0 - 12 = 0. Let z be p\/4*20\/25. Let v = 4 - 4. What is the smallest value in -2, v, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 26 = 4*m, -4*n + 42 = -0*n + 2*m. Let u be 16\/(-24) + (12 - (-1 + 1570\/120)). Which is the smallest value? (a) -0.1 (b) n (c) -1\/3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15309812.\nAnswer: 2, 7, 23, 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*v = 152*v - 72. Let s be (-3 + 21\/9)\/(2\/v). Solve s = 12*c - 10*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7819*(-17 - -15 - (2 + 66\/(-21)))?\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*a = 132*a + 185*a + 290*a + 52470 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - o**3 - 4*o**3 + (-2 + 2 + 2*o**2)*(-3*o - o + o) - 2*o**3 + 1 - 1.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 24*s - 776. Calculate k(-19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197 - 140. Let v = 55.9079 - -0.0921. Let b = h - v. What is the closest to b in -5, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10359 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2144 and -0.042924?\nAnswer: 1.171476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -68. Let p be (3\/(-15))\/(c\/8). Factor 2*y**4 + 0*y + p*y**2 + 16\/5*y**3 + 0 + 2\/5*y**5.\nAnswer: 2*y**2*(y + 1)*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -158, -239, -320, -401?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.116027 to two dps.\nAnswer: 13.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -83. Suppose -y - 4*r = -11, -4*y - 5*r + 54 + 1 = 0. Calculate the greatest common divisor of y and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*117\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 17*q**3 - 129 + 3*q**3 + 24*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**3 + 6*l**2 + 1\/60*l**5 + 0 + 0*l - 1\/4*l**4. List the prime factors of o(10).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 8 = -2*b, 0 = 2*r + 4*b - 1662. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/4, 8, -0.1, -0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4\/5)*r*r)**(3\/4)\/((r*r**(1\/17))\/(r*r*r*r**36\/r)) assuming r is positive.\nAnswer: r**(13121\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674691 is divided by 260.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/76 - 6\/19. Suppose 3 = -8*t + 4*t + 3*d, 0 = -5*d - 15. What is the biggest value in 2\/11, f, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**13\/f)*f*(f\/(f**(-3\/2)\/f*f))\/f)\/(f**(-7)*(f**(-6)\/f)\/f))**(-24))**(4\/3) assuming f is positive.\nAnswer: f**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0 + 0*u**2 - 2\/3*u**3 + 2*u - 1\/24*u**4 - 1\/40*u**5. Let i(w) be the second derivative of o(w). Calculate i(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*m)*(-9*m + 14*m + 9*m) + 3*m**2 + m**2 - 2*m**2 + (m + 4*m**2 - m)*(1 - 3 + 1) + 0*m - 2*m**2 + 0*m.\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, 3, -8, -2\/3, -1 in decreasing order.\nAnswer: 66, 3, -2\/3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*-2972\nAnswer: 564.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iizz when four letters picked without replacement from {i: 2, z: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1005? (a) 2 (b) -3\/7 (c) 0.1657\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 196 - -7. List the prime factors of u.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91933210 divided by -311638?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 3*u - 25, -5*p + 2 - 22 = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*l + l + 67, -49 = -5*u + 2*l. Suppose -12 = 3*k, -3*j - 4*k - 25 = -4*j. Solve -4*w - j = u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2. Let b(x) = 62*x**2 + 11. Give b(w) + 3*i(w).\nAnswer: 65*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*a**2*r**3 + 2486*a**2 + 2*a*r**3 - 2772*a*r - 2*r**3 wrt a?\nAnswer: -44*r**3 + 4972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from pvfpdfp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1095)\/(-24))\/(-5) + 1 and -99\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g + 4*y + 210 - 196, 4*g - 27 = 5*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 33085 = 266*l - 264*l, l = -5*h + 16505. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)\/c**15)\/(c**9*c\/c**(-4)) assuming c is positive.\nAnswer: c**(-259\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 14958 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -405*l**3 + l**2 - 10*l + 9. Calculate f(1).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -10*b**2 + 102*b - 25. Give q(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 i, and 1 u when four letters picked without replacement from iuieeuiccui?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*-9*50\/120?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5911 - 80*m**3 - 412*m**3 - 2*m + 126*m**3 + 14*m + 109*m**3 wrt m.\nAnswer: -771*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 478129432 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17035.566 + 17052. Round y to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 123306, 122664, 121596, 120102, 118182, 115836?\n\"Answer: -213*c**2 - 3*c + 123522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 1. Let x be h(-3). Let l be (-58)\/6 - x\/(-6). Let c = 13 + l. Solve -3*b - 5 = 2*n, 2*b = 2*n + c*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -407, -0.34, -88?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:35 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Suppose d = 4*a - y, -2*y = -0*a - a. Let f = 3 + a. What is the remainder when 3 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 divided by -80?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 110, 357, 702, 1145, 1686?\n\"Answer: 49*p**2 + 100*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 19 - 23 + 80828*c.\nAnswer: 80828*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44 + 36)*(13\/(-8) + 1). Let i(x) = -6*x - 4 + x**2 + 0 + 3. Determine i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - d = 2, 3*i + 4*d + 14 = i. Determine x so that 7*x - 18*x**2 - 3*x**4 - i + 4*x + x + 12*x**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -212*x + 10. Let s(u) = 85*u - 4. Calculate -12*s(r) - 5*t(r).\nAnswer: 40*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.242785*-361.2.\nAnswer: 87.693942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 168\/56 - (1 - 3). Suppose 3*l - 1296 = -3*o + 36, -15 = -r*o. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/(((-1377)\/(-510))\/27*(-1)\/(-3))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 23.\nAnswer: -22\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 6. Let c be f(-4). Suppose 0 = 3*o - 5*r - 38, 4*o = -c*r + 19 - 3. Suppose 2*x - 2*a - o = 8, 5*a - 13 = x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2653*l**3 - 5278*l**3 + 2568*l**3 - 5.\nAnswer: -57*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 1 - ((16 - 9) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-11 - -6)\/(-10)*(0 + 32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*u + 1 + 0)*(4*u**2 - 2*u**2 - u**2).\nAnswer: 5*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-469.062\nAnswer: -93.8124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296608 is divided by 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 4:55 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-200)\/15)\/10)\/(10\/45)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*y + 2*y, 3 = 3*y - 5*g. What is the units digit of (y\/42)\/((-2)\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100 + 1.1931.\nAnswer: 101.1931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-14))\/(3\/(-30)). Suppose b*t - 39 = 6. Suppose 61 = 3*m + 46. Calculate the lowest common multiple of t and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7434, -14868, -22302, -29736, -37170?\nAnswer: -44604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 3*d**2 + 5. List the prime factors of y(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 85.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -18. Let g = y - -14.999993. Round g to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*n + 20393 + 41111 = 537*n + 25*n for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*c**3 - 3*a**3*c - 2*a**3 - 2*a**2*c**2 - 16754*a*c**3 + a*c**2 + 18*a + 2*c**4 wrt c.\nAnswer: -6*a**3 - 100524*a + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(12\/13)\/q)\/q)\/q**(10\/7))\/(q*q**18*q**(-15)))**(-11) assuming q is positive.\nAnswer: q**(6512\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-6)\/8) - -61. What is the highest common factor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2283, 4651, 7019, 9387, 11755, 14123?\nAnswer: 16491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6214 and 17208.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -558383*l**2*v + 2*l*v + 16*l - 3*v - 9455 wrt l.\nAnswer: -1116766*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/5)\/(3\/10). Let u(h) = -6*h + 5. Let l(j) = -5*j + 4. Let o(v) = t*u(v) - 5*l(v). Let x(b) = b - 6*b + 3*b. Determine o(x(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.049 - -0.251. Which is the closest to 0.1? (a) -3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 1041*n**2 - 5167*n - 90. Give o(5).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5933548 and 40299.\nAnswer: 124604508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464187449.\nAnswer: 3, 41, 223, 53381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 592076.5 millennia in years?\nAnswer: 592076500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b**2 + b)*(3*b - 5 + 3 + 0*b)*(2 + 0 - 1).\nAnswer: -9*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1408 and 340096.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -92381.9 and -0.518.\nAnswer: -92382.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.39 + -0.06. Let a = l - -0.05. Let j = 17 + -13. What is the second smallest value in a, -5, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(399)\/(sqrt(21)\/sqrt(3)))\/sqrt(3) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 f, and 1 z when four letters picked without replacement from zzzxxjxtxfxjjtzzjzj.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + 1*sqrt(228) - sqrt(228)) + sqrt(228) + sqrt(228))*4 - sqrt(228))\/(6*(sqrt(12) - (sqrt(12) - (sqrt(12) + sqrt(12)*-3)))).\nAnswer: -11*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (26 + -29)*(-21)\/(-1). Let m = a - 54. Solve -3*d + m*u = -0*d + 21, -u = -3*d - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5483501 is divided by 171359?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(((-5075)\/280)\/(-145))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 4:52 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**2\/2 + 51*c\/2 - 300 = 0.\nAnswer: -25, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -58, -192, -454, -886, -1530, -2428, -3622?\nAnswer: -5154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c - 203. Calculate l(-28).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(448)*2 + -1.\nAnswer: 2 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52.86606ml?\nAnswer: 0.05286606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/14)\/l*l*l*l*l**1*l*l*l*l**5*(((l*l**(-2\/11))\/l)\/l)\/l*(((l*l**(-6))\/l)\/(l*l**(2\/11)))\/(l*l**(2\/9)\/l*l*l*(l*l**(1\/2))\/l) assuming l is positive.\nAnswer: l**(-802\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*a + 424*a**2 - 2 - 225*a**3 - 88*a + 1 - 69*a wrt a.\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 40, 107, 232, 433, 728, 1135?\n\"Answer: 3*a**3 + 2*a**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*j. Let r(w) be the first derivative of j*w**2 - 1 + 2\/3*w**3 + 0*w. Suppose r(n) = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11\/22 - 318\/(-4) is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 8*24\/32. Let p(a) = -a**3 + 4*a**2 + 6*a. Let y be p(5). Suppose 0*h = y*h - 100. Solve 8*x = o*x + h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1224*d - 1278. What is the units digit of t(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 165*t + 3*t**2 - 165*t + 3*t**4 - 4 + (-4*t**3 + 2*t**3 + 3*t**3)*(4*t + 3*t - 5*t) + 4*t**4 - t**4 + 0*t**4.\nAnswer: 8*t**4 + 3*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.9 in 1\/4, -5, -1\/3, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3688 + 25738\/7. Which is bigger: j or -6\/29?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -422*l + 34*l - 138*l - 101*l to the form t + a*l and give a.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17128508 to the nearest integer?\nAnswer: 4139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/15 - 101*b**4\/3 - 406*b**3\/3 + 20*b**2 - 5. Factor m(d).\nAnswer: 4*(d - 203)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:06 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/73)\/y**(-3\/4))**(-38) assuming y is positive.\nAnswer: y**(-4313\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovoovvovvvooo. What is prob of sequence vvvv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*d - 2*w - 8, 0 = -4*d - 4*w. What is the third derivative of -d*s**2 - 3*s**4 - 46*s + 46*s wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.01, -22\/5, 1\/8, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022582544 rounded to 7 decimal places?\nAnswer: 0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 + 117060766?\nAnswer: 117060981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 77768 - 4856 = -3*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 19*t**2 - 2*t + 2. Let z(h) = -13*h**3 + 85*h**2 - 7*h + 9. What is 9*a(m) - 2*z(m)?\nAnswer: -m**3 + m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-12) + -1*(-4)\/(-8). Which is the second smallest value? (a) 3\/4 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = 0, 2*z - 4*u = -21 + 7. Let r be (6\/(-4))\/(z\/6) - -25. Differentiate 19 - r - 22*p**2 - 9 wrt p.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9047 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5643)\/44)\/9 - (-13 + -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 4 (c) -9 (d) -19 (e) -0.3 (f) -7\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g - 370 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*k + 512*k = 259*k + 400 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*v = 72*v + 9107 + 8339 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:08 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 730?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2409382746 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18024 - 17828. Solve z = -10*k - 18*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1*sqrt(700) + sqrt(700))\/(sqrt(4)*-2*6 + sqrt(4)) + 4.\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 59?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 289\/3, 1\/5, -1\/616?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 96*y**2 + 618*y + 445. What is w(89)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 15*p**3 - 2*p**2 - p. Determine c(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 51947 = -2913. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20*(12\/30)\/((-8)\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1880*i + 1 - 1 + 2017*i - 83*i.\nAnswer: 3814*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/((-6)\/21))\/(((-35)\/40465)\/7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 14*n - 20. Give q(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-24)\/15 + -4). Let f(m) = m**3 + 8*m**2 + 6*m - 8. Let p be f(-6). Calculate the greatest common divisor of t and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 52*f**2\/5 - 130*f - 140.\nAnswer: 2*(f - 10)*(f + 1)*(f + 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*c - 46, -4*c = -c + 2*l - 47. What is the greatest common divisor of 225 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 3*c**3 + 2*c - 2*c**3 - c. Let b be z(-2). Factor -p**3 - p + 3*p + b*p**5 - 3*p**3.\nAnswer: 2*p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1377091917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 77 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 245013.\nAnswer: -1\/245013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1251 and 3439416?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269408, 269414, 269420, 269426, 269432, 269438?\nAnswer: 269444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(425) - sqrt(425)))**2.\nAnswer: 100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (0 - 0) - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -11\/784?\nAnswer: -11\/784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (4 + sqrt(605))) + sqrt(2420) + 1 + (sqrt(200)\/sqrt(5)*-5 + sqrt(40))\/sqrt(8))**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180.21 - 2.21. Let k = f + -177.999998832. What is k rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*c**2*n**3*v - c**2*v - 26*c*n**3 - 3760*n**3*v with respect to c.\nAnswer: 62*c*n**3*v - 2*c*v - 26*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = m - 3, 8*n - 5*n = 0. Suppose -5*y - 19144 = -m*y. Let a = -172403\/18 - y. Calculate the common denominator of a and -103\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -112*y + 239. Let t be m(2). Solve 12 = 5*h + 4*g - 3, 3*g = -5*h + t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(14)\/(sqrt(7)*-3*3)*-1.\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -10. Suppose -2*n + 1 + 3 = u. Find the second derivative of -2*o**2 + 3*o + o - 4*o**n + 0*o**2 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k - 8. Suppose 5*p = 5*c + 2*p - 98, k*p = 8. Suppose c = 2*x - x. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrmrghrrm. What is prob of picking 1 h and 1 r?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44548794 to the power of 1\/2, to the nearest integer?\nAnswer: 6674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 12. Suppose 3*x + 37 = -0*y + 2*y, -3*y + 3*x + 63 = 0. Let z = y + -23. Let f(c) = -2*c - 13. Let v(h) = z*m(h) - 2*f(h). Give v(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 7:35 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*b + p, 0 = 195*b - 192*b - 4*p - 12. Suppose 0 - 3\/4*j**2 + b*j = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/3 - -23\/3. Let q(n) be the first derivative of 0*n + 4 + w*n**3 + 0*n**2. Let d(o) = o. Determine q(d(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - r - 4)*(-4*r + 3*r - r)*(2 - 2 - 3*r**2).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62548*a**2 - 125083*a**2 + 62534*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 + 20*d**2 + 13*d**2 + 2*d + d**2 - 58*d**2.\nAnswer: -10*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/120 + j**5\/20 + j**4\/4 - j**3\/2 - 21*j**2. What is w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 1 = 10*a. Let f(l) = -l**2 - 3*l + 3. Let g(t) be the first derivative of t**2\/2 - t + 1. Calculate a*f(m) - 3*g(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 2 + (-5 + 4 + 0)*(-1 - 1 + 1))*(-7*v + 138*v - 53*v).\nAnswer: 468*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - g + 3 + 2, 5*g + 5 = -5*o. Which is the fourth biggest value? (a) o (b) -3 (c) 0.3 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69707 is divided by 3174.\nAnswer: 3053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m**2 + 1417333*m - 1417335*m + m**3 - 89*m**2 - 61*m**2.\nAnswer: m**3 - 119*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14444*b**3 - 241*b**2 + 16*b wrt b.\nAnswer: 86664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -18. What is the units digit of (-59)\/(-4) + (-4)\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 545, 522, 499, 476, 453?\n\"Answer: -23*s + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b**2 - 10*b - 72. Does 94 divide k(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(39)\/sqrt(108) - (2 + sqrt(1053)*1 + sqrt(1053))).\nAnswer: -107*sqrt(13)\/6 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k + 441 = 5*y, -2*k - 5*y = -223. What is the remainder when k is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3954825 and 1395?\nAnswer: 3954825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -558 divided by -6\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 3*-2*sqrt(176) + (sqrt(176) + -1)*-2)**2.\nAnswer: -112*sqrt(11) + 8628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 4 + 45 + 2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671571 and 12555.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f. Let t(p) = 5*p. Let g be (-11 - -1)*2*(-3)\/12. Calculate g*t(z) - 6*n(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 15 = -6*f, 4*f = -3*g - 9. Suppose 2*b + 2*b = c, 0 = -c - 5*b - 27. Let j = g - c. Solve -3*l - 12 = -4*u, -2*l + j*u - 8 = 7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 511568 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*q - 96 = -61*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14005983479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -236?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -51*i**2 + 3962*i + 13. Let o be m(63). Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 15300*a**2 + 709428*a + 3705120.\nAnswer: -3*(a - 5146)*(a + 6)*(a + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11630304 divided by -3024?\nAnswer: 3846","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 83, 82, 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)*k*k*k**(3\/5))\/(k**(-2\/23)*k**(-4\/3)) assuming k is positive.\nAnswer: k**(15947\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*i**1)**(-3\/5) assuming i is positive.\nAnswer: i**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 3*w + 2*w)*(-5*w - w + 4*w) + 4*w**2 - w**2 - 2*w**2 + (0 + w + 0)*(-6*w + w + 2*w) - 3*w**2 - 2*w + 2*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 826*c**2 + 258*c + 258. Let o = -62 - -131. Calculate the remainder when x(-1) is divided by o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -706, 6\/7, 2\/3 in decreasing order.\nAnswer: 6\/7, 2\/3, -3, -706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**4 - g**3 + g**2 - g. Let l(y) = 229*y**4 + 171*y**3 + 51*y**2 - y. Suppose -10 = 3*n + 5. Let z(r) = n*v(r) + l(r). Find j such that z(j) = 0.\nAnswer: -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - 7 - 4)*-1. Solve -v + 6 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0480357259 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 10*a**2 - 10*a + 12. Let p be o(9). Suppose -p = -2*i + 5. Suppose -f + 7 = 5*l, -4*l + 5*f - i*f + 11 = 0. Solve -l*q + 12 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81311975 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 3*o**6\/10 + 23*o**2\/2 + 10*o. Find the first derivative of t(n) wrt n.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 8 = 52*p. Is p at most -2\/343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.5, 18, 103186 in ascending order.\nAnswer: -0.1, 0.5, 18, 103186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 62*h**2 - 2*h - 62. Let l be j(-31). Let u be 251\/2*(2 + 0). Suppose 0*m + m - 3*t = 251, l = m - 4*t - u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*x = -65*x - 583 + 34 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3061381 or 1?\nAnswer: -4\/3061381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -1701*j**5 - 137565*j**4 + 3593589*j**3 + 13766241*j**2 + 5579928*j + 599940 = 0. Calculate j.\nAnswer: -101, -3, -2\/9, 165\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwhfxwohwhf. Give prob of picking 1 f and 1 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 445*t**2. Let j(g) = 2*g. What is w(j(y))?\nAnswer: 1780*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108 + 2 - (0 - 1). Let j be 2*-1 - (-32 + -2). Let s = y - j. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/8 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 1453986*n - 176172940683.\nAnswer: -3*(n - 242331)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2138 - -0.203. Let v = 0.0109172 + n. Round v to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -12158*i + 85153. Determine j(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -85*o**3 - 3*o**2 + 4*o. Let r(j) = 255*j**3 + 7*j**2 - 11*j. Let h(c) = -8*i(c) - 3*r(c). Find the third derivative of h(p) wrt p.\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0*s + 124*s**2 + 1\/60*s**5 + 0*s**4 + 1 - 13\/3*s**3. Calculate f(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 940.1 + -940.100026884. What is j rounded to 7 decimal places?\nAnswer: -0.0000269","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -596*c - 2. Let z(a) be the third derivative of -a**5\/60 + 1272*a**2. What is o(z(u))?\nAnswer: 596*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40433\/3982 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**5 + 2*f**4 + 244180*f**3 - f**2 + 1113352*f?\nAnswer: 180*f**2 + 48*f + 1465080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1863*q. Let g(a) = 19*a. What is w(g(i))?\nAnswer: -35397*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 78. Let x = m - 0. Let i = -31 + x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -7*g + 3*g + 25, -4*g - 4*t + 28 = 0. Let q be (-25)\/g*(-4)\/2. What is the third derivative of -82*l**2 + 60*l**2 - l**5 - 16*l**q wrt l?\nAnswer: -1020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 372*h**2 + 237*h - 6. Let p(q) = -q**2 + 3*q + 2. Let k(o) = a(o) + 3*p(o). What is the second derivative of k(z) wrt z?\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/40 and 7\/7925440.\nAnswer: 7925440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z**2 - 9*z - 20. Let o(w) = 5*w**2 - 5*w - 10. Let l(n) = -4*c(n) + 9*o(n). Let f(u) = 9*u + 9. Let y(d) = -4*f(d) - 3*l(d). Factor y(s).\nAnswer: -3*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.5 - 31. What is the third biggest value in -3\/8, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**3 + 7*z**2 + 82*z + 14. Let i(k) = 8*k**3 - 6*k**2 - 79*k - 12. Calculate 7*i(v) + 6*j(v).\nAnswer: 14*v**3 - 61*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 54445650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/2 + -1 - (-8)\/4. Suppose 26*i - z*i - 24 = 0. Let x = i - -17. Solve 0 = 5*q - x, 3 = 5*m + 3*q - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 9*n + 11. Let q be z(8). Let h(g) = 1 - g**q - 2*g + 5*g + 1. Does 3 divide h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -330090 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/77 and -115\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:15 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2371196 is divided by 296396?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 21 = -2*a - 2, 0 = -2*m + 4*a + 6. What is the second derivative of -4*o**5 + m*o**5 + 0*o**5 + 13*o - 2*o wrt o?\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2114 plus -223183427?\nAnswer: -223183426.7886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 182*n**2*x + 967*n**2 - n*x + n - 110342*x - 1 wrt n?\nAnswer: 364*x + 1934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214681760 or -214681763?\nAnswer: -214681760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2989 and 2135.\nAnswer: 14945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(28))**2*-1 + 2 - (sqrt(42)\/(sqrt(150)*-2)*3)**2.\nAnswer: -3063\/100 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 + 105*d**4 - 6*d**4 + (-3*d**2 - d**2 + 3*d**2)*(-2*d**2 + 2*d**2 + d**2) to the form l + k*d**3 + n*d**4 + o*d**2 + h*d and give n.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1605214846*p - 3*p**2 - 1605214846*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 110674417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 105211207 and 173447?\nAnswer: 105037760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - 9) - (-20 - -17)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 - -6. Which is smaller: -2\/3 or u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.919309 millimeters to micrometers.\nAnswer: 7919.309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + f**2 + 1. Let t be i(-2). Let b(v) = v**3 + 8*v**2 + 6*v - 7. Let j be b(-7). Sort t, 2, j in decreasing order.\nAnswer: 2, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 y when three letters picked without replacement from {b: 5, y: 4, s: 1, t: 1, w: 3, j: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -29*k**5\/5 + 12*k**2 - 3. What is the second derivative of p(l) wrt l?\nAnswer: -348*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) + (-3902)\/11850. Let s = -298129\/23700 - p. Find the common denominator of s and (-93)\/2*(-5)\/(-60).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721 - 249 - 3*w**3 - 229 - 243.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*j**4 + 2973700*j**3 + 14449130556*j**2 + 23402397365772*j - 917763294232 = 0. What is j?\nAnswer: -4859, 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - 2. Let r be v(-2). Suppose -3*u - 12 = -45. Let f = u + -6. Solve f + r = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/14 and -28\/33?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9735867 and 201.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -28*c**4 + 2*c**3 - 21*c**2 - 2. Let u(s) = 29*s**4 - 3*s**3 + 20*s**2 + 3. Let z(w) = -3*q(w) - 2*u(w). Find the third derivative of z(t) wrt t.\nAnswer: 624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.0699 * -0.1\nAnswer: -0.60699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/3*q**2 + 32\/3 - 2\/3*q**3 - 16\/3*q.\nAnswer: -2*(q - 1)*(q + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 960793\/2241883 + 2\/320269. Find f such that x*f**2 - 18\/7 + 3\/7*f = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 4*c - 35, -4*c + 9*c + 22 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/12 - k**4\/24 + 2*k**3\/3 + 5*k**2. Let p(z) = -2*z**2 + 2. Let y(m) = 7*p(m) - 3*r(m). Find h such that y(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101151\/4340 + -34\/217. Let u = -91\/4 + k. Let n = 178 - 175. Which is the biggest value? (a) n (b) u (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by 864.\nAnswer: 73\/864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8017*r**5*v - 2*r**2*v**2 + 217484*r*v**2 + r wrt r.\nAnswer: -160340*r**3*v - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4. Suppose -4*k + 168 = -2*m, 0 = 3*m + 2*m - 10. Suppose o*l - k = -5*h, -2*l - 3*l - 70 = -5*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 367628675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 11*h**2 + 26. Let o be q(11). Differentiate 51*u + 180 + u**2 + 14*u**2 - 29*u - o*u wrt u.\nAnswer: 30*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.73674mm in centimeters?\nAnswer: 0.473674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 1584.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 2772719?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.4, -5, -0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 22*u**2 - 12*u + 48. Let k be z(14). What is the remainder when (-4)\/(-10) - k\/(-85) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/3, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5 - 689*a**4 + 121671*a**3 - 1007119*a**2 - 5637880*a - 4508400 = 0. Calculate a.\nAnswer: -3, -1, 13, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 150*z**2 - 110*z + 267. Let i be k(-74). Is i at least -2543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 15*b + 4*b - 4*b + 3*b - 2*b + (0 + 5 - 3)*(3*b - 7*b + 3*b) + b - b + b.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 14. Let a = 4 - d. Let v(x) be the third derivative of -x**4\/6 - x**3\/2 - x**2 - 3*x. What is v(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 3 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 175*o**3 + 895*o**2 + 725*o.\nAnswer: 5*o*(o + 1)*(o + 5)*(o + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*k - 49*k + 212*k - 54*k - 58*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-10)*(-345)\/276?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j + 4. Let b be u(-3). Let g be (-102)\/b + (-22)\/77. Differentiate g*c**4 - 3*c**3 + c**3 + 2*c**3 + 6 wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 492233 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h + 11*h + 81 = 33*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 25. Let d(r) = r. Let s(x) = 4*d(x) - w(x). Let j be s(13). What is the highest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**3\/6 + 15*t**2\/2 + 2*t. Let q = -10 - -21. What is the remainder when r(q) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4867*s**3 - s + 11442*s**3 + 30788*s**3.\nAnswer: 37363*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 2, w: 2, u: 1, t: 1}. Give prob of sequence eu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4 - g**2\/2 + 1. Let n(x) = x**3 + 21*x**2 - 25*x - 67. Let s be n(-22). Calculate a(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j**3 + 2*j**2 + 2*j. Let f be c(-1). Let p(h) = 41*h**2 - 11*h + 14. Let t be p(f). Suppose 3*k + 0*v = 5*v + t, -689 = -k - 2*v. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 - 4) - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 22*f + 20. Let m be i(21). Let n = 921 - 4589\/5. Let w = n + -53\/15. Which is smaller: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128200746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + 0 + -16 + 44.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -2. Solve w = -3*r + r, 0 = -v - 2*r - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*r - 52*m + 57*m - 598, -6*r + r = 3*m + 59 - 9 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 8*a + 6. Let c be g(-6). Let t = 30 + c. Suppose y + 2*y = 144. What is the greatest common divisor of y and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/18 + 76*c**3\/27 + 35*c**2\/3 + 287. Factor g(d).\nAnswer: 2*d*(d + 3)*(d + 35)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -15. Let n be 0 + 3\/(p + -1). Is -10\/13 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1933 from 406.\nAnswer: -1527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 7*l**2 - 6*l**2)*(2 - 3 + 0)*(l - 4*l + 0*l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 596)\/(-3*(-14)\/(-63)). Solve 1759 - 885 - z + 6*y + 2*y**2 = 0 for y.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**5\/30 + j**2 - 4. Let z(k) be the second derivative of r(k). Let d(m) = -5*m**2. Determine d(z(q)).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*h + 2*n, 3455*h + 9 = 3451*h + 9*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 34*s + 2336. What is the lowest common multiple of c(-68) and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + (52 - -18) + -52 + -101.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {t: 5, y: 2, w: 5, v: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - 103311?\nAnswer: -103132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b. Let p(w) be the first derivative of 23*w**5\/120 - w**4\/24 + 40*w**3\/3 - 3*w - 61. Let i(s) be the third derivative of p(s). Determine i(m(q)).\nAnswer: -92*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 52. Solve 4*t = -n - 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2, -25, 0.3.\nAnswer: -25, 0.3, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otu when three letters picked without replacement from uxxoxthovtux.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001768644938 to 6 decimal places.\nAnswer: -0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 5) to base 12.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -10, 0*h - h = -4*q - 15. Let t = -300 + 299.9. What is the nearest to t in -2\/7, -2, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/75)\/((-1)\/(-3)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**2 - 6\/7*k + 2\/7*k**3 + 4\/7.\nAnswer: 2*(k - 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**39*j\/((j\/j**(1\/21))\/j))**(-2\/13) assuming j is positive.\nAnswer: j**(1552\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**3 - 50*n**2 + 145*n + 5. Determine d(10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1367150.26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.77 - 6211390.\nAnswer: -6211391.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/2, -1\/13, -39, -1\/37, 1 in increasing order.\nAnswer: -39, -9\/2, -1\/13, -1\/37, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9761?\nAnswer: 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/8 in 9, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*n + 26 - 94, -88 = -4*i + 4*n. Let f = i + -5. Solve 3*q = -5*g + 2*q - f, g + q + 4 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/(2 - (-246)\/(-105)). Let i = -586\/3 + d. Calculate the common denominator of i and (-302)\/14*(-14)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.19 + -36.4583. What is m rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*g = 2*x + 28, -17 = x + 5*g. Suppose 2*q + 24 = x*q. Solve -2 - 2 = -q*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.532 - -66.068. Let z = 57 - a. Round z to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01033755236 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.77 - -485.77. Let r = h + -476.88353. Let c = r + -0.116. Round c to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201*y + 4 + 6 - 129*y - 17 + 8 to the form g*y + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14174, -55881, -125392, -222707?\n\"Answer: -13902*v**2 - v - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-15) - 17459996\/6. Round d to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 778224660.\nAnswer: 778224660.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13904 + b**4 - 13910 - 116*b + 27818 in the form g + p*b**2 + u*b**4 + s*b + d*b**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -294809, -294800, -294785, -294758, -294713, -294644?\n\"Answer: k**3 - 3*k**2 + 11*k - 294818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from jjjntjnqqjtjtnttqs?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -421 or -422?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571.123 millilitres to litres.\nAnswer: 0.571123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796044771 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17107.85026 rounded to the nearest ten?\nAnswer: -17110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6386 and 1030.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000599411 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 0, -22 = -4*o - o + 4*c. Let z(y) = -6*y + 4*y + o*y - 3 - y**3 + y + 2*y**2. Let j be z(3). Solve m + j = 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {h: 2, m: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnmckez. What is prob of sequence nkm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v\/v**25)*v*v*v**(-2\/87))**(-44))**(-4\/13))**(-25) assuming v is positive.\nAnswer: v**(-11092400\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/2 - 86651*g**4\/2 - 780007*g**3 - 1213663*g**2 + 51480781*g\/2 + 52434745\/2 = 0. Calculate g.\nAnswer: -11, -1, 5, 86669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*d**2 + 1 + 4*d + 2*d**2 + 4*d wrt d.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1335542*t - 962. Let p be h(11). What is p rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 81, 73, 61, 45?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2569330*u*v - 2343016*u with respect to v.\nAnswer: 2569330*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98078, 3, 2, -20 in ascending order.\nAnswer: -20, 2, 3, 98078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvvnvnvvvvnn. What is prob of sequence vnvv?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 1857701 + 5573110 - 1857698 - 1857710.\nAnswer: 7*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/525 + 1226\/5775. Which is the closest to k? (a) -1\/18 (b) 0.3 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924 is divided by 43.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpefplrppppppfepfppf. What is prob of sequence ef?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11712880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 6. Let f(o) = 3341*o - 1. Give w(f(p)).\nAnswer: 13364*p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(12)\/sqrt(4) - (sqrt(243) + -4))*-2)**2.\nAnswer: -448*sqrt(3) + 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -453.2 - -1\nAnswer: -452.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-29 + (-8 - (-12 + (-4 + 0 - -4))))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258187000 rounded to the nearest one million?\nAnswer: 2258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2206 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 57\/11 (b) 0.04 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 179.83*-4\nAnswer: -719.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/8)\/(-3))\/((-2)\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*s = -40, 4*v - 36*s + 47 = -39*s for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*b*c*v - 17*b*c - 2920*b*v + 197*b + 2*c wrt v?\nAnswer: 5*b*c - 2920*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 4:24 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*q, 2*q + 6 = -5*s - 3. Let f(w) be the first derivative of -9*w**2\/2 - 6*w - 14. Let o be f(s). Solve 0 = -y - o - 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451509843 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 8 - i - 4 + 12*i**4 - 20*i**4 + i**4 to the form v*i**3 + n + r*i + z*i**2 + b*i**4 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 3, v: 2, k: 1, m: 3, u: 2}. Give prob of picking 1 m and 1 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 1072*i**3 + 4164*i**2 - 16948*i - 20040 = 0. What is i?\nAnswer: -6, -1, 835\/268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 1, 2, 2\/43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2, -0.5, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 42 = 3*s. Suppose s*r - 9*r + 5 = 0. Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1753 times -0.06\nAnswer: -105.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {w: 1, n: 5, u: 1, x: 1, p: 3, e: 2}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -56387 (base 10) in base 12?\nAnswer: -2876b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 2357451 to the power of 1\/2, to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -1, -17, 6, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11121320 + 2?\nAnswer: -11121312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 9. Let k be p(6). Let t(w) = 2*w - 1. Let y be t(k). Suppose -12*g + 24 = -6*g. Solve 9*i + y = g*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**2. Let s(r) = -18*r - 20*r + 35*r. Give s(h(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/20*(-1830)\/(-84). Let d = l + -97\/4. Let k = -3\/43 + 101\/215. Which is the closest to 1? (a) d (b) 1\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 6 + 6)*(3*c + c - 2*c)*(2 - 7 + 21)*(-6 - 11 - 2).\nAnswer: 2432*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2322*i - 39 = -2331*i, 4*z + 3*i - 38 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 25 = -5*v, 2*v + 2 = -2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 13 + 1 = 0. Let o = 12 + s. Suppose 3*w - 6 - 9 = o, -w = -2*l + 99. Is 26 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 478, 1918, 4328, 7714, 12082, 17438?\n\"Answer: q**3 + 479*q**2 - 4*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -148148 (base 9) to base 10\nAnswer: -91250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -810 + 2275. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125781.\nAnswer: 3, 41927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 23449253?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -14. Let p(y) = 65045*y**3 + 2*y**2 + 4*y + 4. Let j be p(s). Let m = -249668 - j. What is m rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80138, -641037, -2163474, -5128217, -10016034, -17307693, -27483962, -41025609?\n\"Answer: -80128*k**3 - k**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 4*z**2 - 5*z + 5. Let f be g(6). Let n = f - -1. Calculate the highest common divisor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 not equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000088262 to seven dps.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 8*g + 7)*(1 - 3 + 0)*(1 + 1 + 2 + (-3 + 1 + 4)*(-3 + 2 + 2)).\nAnswer: -96*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706291.\nAnswer: 706291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580119 is divided by 4361?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 444 times 1071\nAnswer: 475524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -518 + 12437\/24. Let u(v) be the third derivative of 0*v - 4*v**2 - z*v**4 - 1\/20*v**6 + 0 + 0*v**5 + 0*v**3. Find the second derivative of u(t) wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 4096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 825 = 6*m. Suppose -6*f + m = 5*f. Let c be 0*-1*3\/6. Solve -2*x = 2*p + 10 - c, -p = 3*x + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10080 = -11*q + 2*i - 9886, 0 = -3*i - 357 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-117)\/225)\/(3*(-5)\/25)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(3\/54). Let s be 17 + 0 - (f + -10). Is 8 a factor of (-60)\/s - (-1 - 19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 8:17 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9260 - 92517\/10. Let j = -2\/333 + -8959\/5328. Calculate the common denominator of i and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12913, 12905, 12897, 12889, 12881, 12873?\nAnswer: 12865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2 (b) 3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3217641 and -3217645 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -263, -664, -1407, -2606, -4375?\nAnswer: -6828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -110001011010000000 (base 2) to base 4\nAnswer: -301122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4131370 is divided by 1110?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001407296 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -3*t**3 - 3*t**2\/2 - 3*t - 2. Let n be l(-4). Let m = -8 - n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -16.4, -1\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (8 + -1 + -10 + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 12*r - 35. Let k be s(-6). Let j(u) = -8*u + 17. Let f be j(k). Solve -6*z = -3*z + f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25231*d**4*q - 11*d**3*q - d*q - 916*d + 5*q + 2 wrt d?\nAnswer: 302772*d**2*q - 66*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/8 - 2 - 6\/(-24). Round h to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7259 a factor of 2380037366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -19\nAnswer: 42\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f = 0. Solve r + f + 5 = 5*p, -2*r - 2*p + 14 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + 2601\/(-4). Let h = -666 - w. Let x = -8606 + 120559\/14. Find the common denominator of x and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 13 = -s, 3*s - 31 = -5*g + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 - 250.6. Suppose -15*b + 121 = 76. What is the closest to b in q, 2\/11, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 15470*i - 3 - 56 + 22 + 37 - 15470*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + 151*o - 50. Let n be f(50). Solve -4*q + 122*t - 126*t + 12 = 0, 5*t - 10 = n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 0)*((3 - 7 - 3)*(2*l**2 - 5 + 5) - l**2 + 3*l**2 - l**2) + (-4*l + 3*l + 2*l)*(l - 2*l - l) to the form n*l**2 + m*l + f and give n.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91612.8 microseconds to milliseconds.\nAnswer: 91.6128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 427, 426, 429, 436, 447, 462?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 56.\nAnswer: -17\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 + 5*n**2 + 3*n - 7. Let p(t) = 4*t**3 - 6*t**2 - 3*t + 8. Give -6*d(j) - 5*p(j).\nAnswer: -2*j**3 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.05, 4, 3\/4, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39b - -787b4?\nAnswer: 78417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -22 (b) -2 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15725 + -15720. What is the fourth smallest value in -3, 157, p, 0.4, 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2716000 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 164. Let l = c - -70. Is -92 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167\/70 - 4\/35. Is -2 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(1 - (-7)\/((-234)\/(-27) - (13 - 2)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1064*p**3 + 2*p**2*w**2 - 2*w**2 + 344*w - 4 with respect to p.\nAnswer: 3192*p**2 + 4*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 410 and 7052.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 925284931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23187.1 - -23187. Which is the third smallest value? (a) -3\/331 (b) i (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/21 - -2) + 32\/70.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 343*j**3 + 927*j**3 - 1087 + 311*j**3 + j + 1724*j**3 wrt j?\nAnswer: 19830*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m + 10. Let u(q) = -q. Let t(c) = -d(c) - 3*u(c). What is the tens digit of t(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 2708188?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.92520032 to 0 dps.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 457*i**4 - 58*i**3 + i**2 - 3*i + 11765 wrt i?\nAnswer: 5484*i**2 - 348*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-142) - 201168\/(-3408))\/2?\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:45 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 2731439.\nAnswer: -54\/2731439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-44)\/25)\/(18\/15). Let p = -94\/105 - u. Sort p, -2, 0.1 in increasing order.\nAnswer: -2, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:31 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281 + 166. Let p = -35 - v. Is p greater than 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8178 + 8354. Calculate the remainder when r is divided by ((-18)\/(-12))\/((-2)\/(-60)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/570*(655\/(-90) + (-4)\/18).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/42 and -61\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:09 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163513.\nAnswer: 7, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 47192 divided by 4\nAnswer: 11798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -3808.\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742 is divided by 172?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 5, 2, -1, -0.12.\nAnswer: -1, -0.12, 2, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2226\/553 - (3 + 1). Let i = -69\/395 - m. Let z be (-1 + 2)\/(95\/(-15) - -6). Which is the second biggest value? (a) 3 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.3 + -0.7. Let x = -15 - -10. Let u = 10 + x. What is the closest to 1 in a, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 1, q: 1, h: 1, v: 2}. What is prob of picking 1 v, 1 n, and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1012221200211202 (base 3) to base 15\nAnswer: 180dab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13424, -26969, -40514, -54059?\nAnswer: -67604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1382 + 148. 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: What is the value of 8 + (-12 - -20 - (-11 + 4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -378, -9114, -2 in descending order.\nAnswer: -2, -378, -9114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, y: 2, d: 1, x: 4, z: 7}. What is prob of sequence pxyx?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - -2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115570 = -5*a - 125*a. Is a a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4 + 27*n**3 + 719*n**2 - 11043*n - 69190 = 0.\nAnswer: -22, -5, 17, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 135 in -143, -14, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.045 + 0.081. Let g = 0.744 + y. Let a = -0.07 + g. What is a rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11349542549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7200 or 7396?\nAnswer: 7200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-27)*-3)\/(2\/18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 30.72.\nAnswer: -1.2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773240000 rounded to the nearest one million?\nAnswer: -1773000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33b (base 16) in base 12?\nAnswer: -58b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-5)\/10)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -583, -1182, -1779, -2374, -2967, -3558?\n\"Answer: h**2 - 602*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815360 is divided by 203840.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymt when three letters picked without replacement from {m: 1, b: 3, d: 1, t: 2, r: 1, y: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23528, 46811, 70068, 93299?\n\"Answer: -13*d**2 + 23322*d + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 140464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ennncnnceennnnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 2:58 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 24 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 0 + 9*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 63796 - 2*k**2 + 63797 - 127593. Let s(i) = 21006*i. Determine y(s(p)).\nAnswer: -882504072*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37190453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/497802472 and -13\/248901236?\nAnswer: 497802472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004717136 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/4 + 4*u**3\/3 + 14*u**2. Let x be s(-6). Let q be x\/4 + (5 - 1). Is q >= -14\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*y**3 + 13591*y**2 + 22052*y?\nAnswer: 36*y + 27182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -336.824485?\nAnswer: -134.729794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u + 4*t - 25455 = 0, 2*t = 4*u - 20390. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 380*t - 167217. Determine k(261).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*sqrt(130)*1 - sqrt(130)))\/((sqrt(40) + (sqrt(160) - (sqrt(160) - (sqrt(160) - (2*sqrt(160) + sqrt(160)))))\/sqrt(4))\/sqrt(4)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 23 = -x, -x + 7 = -0*o + o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*i - 5*i. Let n(r) = 4*r**2 - 31*r - 8. What is n(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2*m**2 - 1. Let k be y(-2). Let j = 62 + -63. Let z = k - j. Solve -3*f + z*f = -5*w - 15, w + f + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185788882.99999675 - 185789054. Let h = -171 - p. Round h to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (450\/1)\/(30\/5000). What is r rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + u + 2*u + 2*u in the form k + t*u and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/7, -4, 3\/2, -12.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4)*(0*x + 0*x + x) + 72142*x - 2 + 74444*x + 2 - 145000*x to the form z*x + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5) + -2 - (-2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 114414331 (base 6) to base 10\nAnswer: 2179567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145302, -290585, -435868, -581151, -726434?\nAnswer: -871717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 24*r + 85. Give d(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*d + 36 = -687*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*t, -2*d + 2*t = -6*d + 6. Solve 8 = d*n + 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11976093995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1932 and -3 - (54 + -27)*215\/(-3)?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198 - 205.7. What is n rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/12*(-90)\/(-12) - 76\/(-9)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15\/11 - -305\/99. Calculate the common denominator of -74\/15 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 4*f + 126 = 0. Let n(r) = -979*r + 112. Is n(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -1\/3, 2\/3, -4.606?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2106 and 2340?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 - 77. Suppose -r*d - 12 = -6*d, 0 = -3*o + 4*d + 281. Round o to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 1 + (-323)\/(-1). Let d = -1143 + 1169. Suppose z - 4*l - d = 54, 5*l - c = -5*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*w**5 + 1347*w**4 + 17691*w**3 + 17193*w**2 - 1266*w - 2160 = 0. Calculate w.\nAnswer: -9, -1, -2\/5, 1\/3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -1\/120*g**6 + 3\/8*g**4 + 0*g**3 + 0 + 3*g**2 + 0*g - 3\/20*g**5. Does 4 divide a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 964.1964 litres to millilitres.\nAnswer: 964196.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Let l(s) = -11*s**2 + s**2 + 19 - 19. Calculate w(l(g)).\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most as big as -228\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by -6.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/3))**(-7\/5)\/(((o**7*o)\/o)\/(o\/(o**(6\/7)*o))) assuming o is positive.\nAnswer: o**(-923\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 12*o**2 + 16*o + 51. Give j(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9099 - -9102. Let n = -9 - -8.9. What is the third biggest value in o, n, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -572581.3 and 0.3?\nAnswer: -171774.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5897*n + 143117 - 90044 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25024 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.53 + -1.7. Let n = 0.13 - i. Let j = 1 - -2. Which is the third biggest value? (a) j (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -15 - 33. Calculate the highest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 411284 and 2290.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 190 + 410 = 0. Suppose 2*p = 2*u + 141 - 7, 5*u = 3*p - 203. Let j = x - p. Calculate the greatest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3820685 months in years?\nAnswer: 0.115172375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186671549957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 2:47 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 125226.3 to the nearest 100.\nAnswer: 125200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3302 = -7318. Let h = -118849\/56 - x. Find the common denominator of 39\/14 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 2*w + 2. Let j be z(1). Let a = 0.007 + 0.11. Let s = -0.077 + a. What is the smallest value in s, j, -3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6*11\/(22\/18). Suppose 8*t = -2*t - 20. Put t, v, -1 in descending order.\nAnswer: -1, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221 divided by -2404943.\nAnswer: -221\/2404943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 7 - -7 - -5. Let f(p) = -p**3 + 5*p**2 - 5*p + 5. Let x = 10 + -6. Let d be f(x). Solve -2*s + 2*v + d = -j, -s - 2*v - 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*j = -24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 70*p**2 - 77*p - 77. Let u(x) = 2*x**2 - 2. Let i(r) = -11*r**2 - r + 11. Let g(b) = i(b) + 6*u(b). Determine -154*g(c) + 2*y(c).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152454*n**6 - 108324*n**2 - 2*n wrt n.\nAnswer: 18294480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, 695, 2214, 4343, 7082, 10431?\nAnswer: 14390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4056 + 4064. Determine b so that -4 + 8\/7*b**3 + y*b**2 - 4\/7*b - 4\/7*b**5 - 4*b**4 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67048 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - 2.565. Let y = 5.865 + m. What is y rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2040108 and 512.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*b - 38556 + 145229 = 220*b + 2045*b for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/5 or 251793?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -5*k + 99. Suppose -v + 0*v = -k. Let l be (-2)\/7 - (-222)\/v. What is the third biggest value in 0.1, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a**5\/7 - 23186*a**4\/7 + 1564002*a**3\/7 - 28760850*a**2\/7 + 92502698*a\/7 - 65282652\/7 = 0. Calculate a.\nAnswer: -1998, 1, 17\/6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2249*r - 2249*r - 32*r**2)*(41 + 5*r**2 - 41).\nAnswer: -160*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyra when four letters picked without replacement from {r: 2, n: 1, a: 2, y: 1, w: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-138)\/15 - (-2)\/10. Let h be (-11)\/m + 2\/(-9). What is the units digit of 10 + h + 2\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 9. Let b(a) = -1. Let g(w) = -6*b(w) - y(w). Let n be -1 + (-14)\/(-16) + 365\/40. What is the remainder when 11 is divided by g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3\/9 - 4071634*o**2\/9 + 69217232*o\/9 - 7238400 = 0.\nAnswer: 1, 16, 2035800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -17*x + 4*f - 2533, 0 = -3*f - 6. List the prime factors of x.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, 5, 0.\nAnswer: 0, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (38\/(-6))\/(2\/(-6)). Suppose -5*i = -0 + 15, -4*m + 5*i + w = 0. Let s = 3 - m. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 0*h**2 - 91 + 0*h**3 + 9*h + 43\/2*h**4. Find the first derivative of q(s) wrt s.\nAnswer: 258*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1890, 7657, 17280, 30759, 48094?\n\"Answer: 1928*s**2 - 17*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13336 (base 14) to base 8.\nAnswer: 134264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -202365, -404709, -607029, -809319, -1011573, -1213785?\n\"Answer: f**3 + 6*f**2 - 202369*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/3 + m**2 + m + 10. Suppose 0 - 2 = -w. Let p(i) = 4*i + 4. Let a(u) = w*p(u) - 5*c(u). Determine a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -650822, -1301393, -1951966, -2602541, -3253118, -3903697?\n\"Answer: -m**2 - 650568*m - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from erewg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1311 and 342?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 383*l - 802 + 1596 - 388*l - 794. Let m(k) = 14*k. Let w = 32 + -21. What is w*q(a) + 4*m(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.76 + 14.027. Let s = g + 0.033. Put -0.2, 2, s in descending order.\nAnswer: 2, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g**(-4)*g)*g)**30\/(g\/(g**(2\/7)*g*g)*g*((g\/g**(2\/15))\/g*g)\/g) assuming g is positive.\nAnswer: g**(22094\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1872) - (4 + (sqrt(1872)*1 - sqrt(1872))))**2 - (4 + sqrt(1872) + -1 + 1)**2.\nAnswer: -192*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + f + 25, 0 = -5*y + 6*y - 3*f + 2. Calculate the remainder when 32 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (4 + (-6 - (0 + 0)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1527506997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = -130*z + 113*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -5*b + l, -16 = 13*b - 11*b + 5*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/14)\/3)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.5 - 12.2. Let o = -129 + 131. Suppose -o*g - 102 = 3*t + 3*g, 2*t = 3*g - 49. Is t != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - 1) + -4 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 206577034691*t**2 - 206577034691*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 845 (b) -2\/9 (c) 2 (d) 3\/5 (e) 3 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 206*c = -205*c + 4478, 3*c + 3567 = 4*z. Solve -8*i + 873 = z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*u + 1 + 408*u - 97*u + (0 + 0 + 2)*(-4*u + 3*u - u) + 2*u - u + 2*u to the form h + o*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.162 + 6.3. Round k to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90255*g + 45096*g = -45079*g - 4000 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkn when three letters picked without replacement from ggnxkxkwxxng.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 29*o**2 + 23*o**2 - 2*o**2 + 3*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 + 5*o**2 - 3*o. Let t be 2*-8*(-15)\/6. Suppose 15 = -5*c + t. Let f(b) = -1 + 1 - 5*b - 1313*b**3 + 8*b**2 + 1308*b**3. Give c*f(k) - 8*d(k).\nAnswer: -k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 10498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-9)*o*o)\/o*o*o*o\/o**4*o*o**7*o*o*o**0*o)\/((o**(2\/5))**(-42)*o**(-9)*o**(-2\/33)*o) assuming o is positive.\nAnswer: o**(4597\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1.77\nAnswer: -3.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**4 - 3228*a**3 - 9656*a**2 - 6432*a = 0.\nAnswer: -804, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (20\/(-16) + 3 - 0)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = 0. Let v(n) be the third derivative of -3*n**2 + 0*n + 0*n**4 + 0 + 1\/60*n**5 - n**3. Determine v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 70 = -65 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/3 - 8*y**3\/3 - 1386*y**2 - 90160*y\/3 + 94325\/3.\nAnswer: (y - 77)*(y - 1)*(y + 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -57 + 1\/2*k**2 - 4*k. Let o(q) = -3*q + 13. What is -2*o(r) - 7*v(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:54 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**4 - 2*r**3 - 2*r**2 + 27. Let z(c) = 4*c**4 - 3*c**3 - 3*c**2 + 28. Let g(n) = -3*v(n) + 2*z(n). Differentiate g(t) with respect to t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 12 = -4*z. Solve 1 - 4 = -z*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/4 - 14*m**3\/3 + 5*m**2\/2 + 47*m - 77. Let i be a(14). Which is bigger: i or 115?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 10*t**2 + 3*t**2)*(4*t**3 - t**3 - t**3) + 0 - 4*t + 16*t**5 - 15*t**5 + 5.\nAnswer: -7*t**5 - 4*t + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012425 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 2\/9, 0.5, -0.2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n = 33*n - 2*w + 13839994, 3*n + w = -8304003. Round n to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26231298 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 + 2. Let w be y(-5). Suppose -4*u + 72 = -w*u. Suppose -3*s = 5*q - u, -3*q = 5*s - 3*s - 22. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3924809 and 282653.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-13250)*86\/2 + 2\/10?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 - 22*k - 19*k - 110*k**3 + 41*k.\nAnswer: -97*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -725764 or -725733?\nAnswer: -725764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1232 and 770?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/81 and 44\/465.\nAnswer: 12555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2787 - -2786. Let v(m) = -4*m**2 + 3. Let t = 4 - 1. Let d(i) = -i**2 - i + 1. Determine a*v(r) + t*d(r).\nAnswer: r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -10*f + 4155 - 4087, -68 = -5*u + 9*f for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -305005.\nAnswer: -3660060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22333132331 (base 4) to base 2\nAnswer: -1010111111011110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214 + 228. Let u(d) = -d**2 + 34*d - 16. Let s be u(h). Calculate the greatest common factor of 33 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 k when four letters picked without replacement from mjkjuvuuujk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 281\/7 + 3\/(-21) + 2. Let d = 0 + 6. Calculate the greatest common factor of d and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.089 - -0.089. Let c = -30.964 - o. Let l = -0.464 - c. What is the second biggest value in 3, -2, 5, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 18 = m + 6*w, -5*m + 24 = 3*w. Calculate the smallest common multiple of 6 and 2*(m + 1) - 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l - 2*l**2)*(1688*l**3 + 931611*l - 931611*l) - l**3 + 2*l**3 - 2*l**5 + l**5.\nAnswer: -3377*l**5 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 - 2*y**5 - 8*y**5 + (4*y**2 - y**2 - 4*y**2)*(2*y**3 + 2*y**2 - 2*y**2) - 3 + y**5 + 3 + (3*y + y - 5*y)*(-y**4 + 0*y**4 + 3*y**4).\nAnswer: -11*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 20, 2*p - 19*b + 18 = -24*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -330064715 take away -0.909?\nAnswer: -330064714.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l + 4*l**3 + (0*l + 4*l - 2*l)*(-2*l**2 + 4*l - 4*l) - 4*l**3 + 0*l**3 + 3*l**3 + 4*l**3 - l**3 - l**3)*(2 + 0 - 1)*(-1 - l + 1).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -2570) + (0 - -2 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -3*k - 3, 21001*i - 20996*i = -5*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.3, -138 in ascending order.\nAnswer: -138, -4\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 18. What is the remainder when 21 is divided by -2*w\/2 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2761, -5580, -8399?\n\"Answer: -2819*d + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010 + -101?\nAnswer: 10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 306 = -192. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) -2\/29 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-6)\/(-12)*998 + -3*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -24. Let x = -4 - a. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1867.08 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 53.95865 from 511840.\nAnswer: 511786.04135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 956939.2ug?\nAnswer: 0.0009569392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16640946*f + 6*f**2 - 16640946*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874033 to the power of 1\/2, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 705*x + 2142 = 0. Calculate x.\nAnswer: -3, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 30. Suppose -3 = 3*t, -4*x + 5*t + h = -11. Solve -5*d - 41 + 8 = 4*f, 17 = -x*d - f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 2. Suppose 18*i = -12 + 192. Let b(p) = -i*p - 2 + 3*p + 10*p. Calculate -3*b(d) + 2*z(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 149b28 (base 12) in base 5?\nAnswer: 42131234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-170))\/((-69)\/(-18) + -4)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/11)\/m*m*m*m)**(20\/9))**45 assuming m is positive.\nAnswer: m**(2400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236902027 to the power of 1\/4, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 14 = -4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 - 232*o**2\/5 + 954*o\/5 - 144.\nAnswer: -2*(o - 3)*(o - 1)*(o + 120)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 4*q**2 + 46*q\/5 - 28\/5.\nAnswer: 2*(q - 7)*(q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 210)*1\/2. List the prime factors of 4\/10 - w\/(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -b - 258000, -5*b - 2*h - 744488 = 545512. What is b rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 11:12 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 521 - 521.7. Let g = 517.37 - 518.07018. Let i = g - w. Round i to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278136811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 0.4. Which is the nearest to 0.2? (a) j (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*x - 313748 = 7*x - 319423 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 793\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74376 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*sqrt(2904))\/(2*sqrt(48)) - ((sqrt(968) + -1*sqrt(968) + sqrt(968) - sqrt(8))\/((-1*sqrt(20))\/sqrt(5)) + 5))**2.\nAnswer: -45*sqrt(2) + 131\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 139494 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxx when three letters picked without replacement from bbxbbxbb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 30 + 38 + (-1 - 0) + 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -201, -2, -4 in descending order.\nAnswer: 5, 3, -2, -4, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/((a\/a**(1\/7))\/a))\/a))**25\/((a**11\/a)\/a)**47)**(9\/4) assuming a is positive.\nAnswer: a**(-25299\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2 + -1)\/(1 - 4). Let i(w) be the second derivative of 0 + j*w**4 + 0*w**2 - 8*w + 0*w**3. Let f(l) = -4*l. Determine i(f(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(6*l - 5 - 2*l - 2*l) + 0*l - 3*l + 4*l.\nAnswer: -3*l + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 17*j**5\/4 + 2*j**2 + 38*j. Let v(d) = -2*d. Calculate k(v(x)).\nAnswer: 1020*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, -15 in descending order.\nAnswer: 2, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 x when four letters picked without replacement from nxxnnnxxnxxnxnnxnxn?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -9. What is the units digit of (2\/i)\/((-15)\/450)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -25*y + 92. Let t be n(4). Let p be 9\/4 - (t + 165\/20). Which is smaller: p or 25\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/207 - (-68)\/18. Suppose -4*c + 12 = -c. Solve -c*l + 4*h = j, 2*h - 2 = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/24 - (-7)\/20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119518 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -152\/27, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w + 3. Let z(y) = -3*y - 2. Let r be 3\/(-3 - (-45)\/10). Suppose -s - 24 = -5*s. Suppose 0 = r*x - x - s. Give x*z(t) + 5*h(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-10))\/(-2 - 18\/(-8)). Let r(q) = 7*q**2 + 2 + 5*q + 0 + 2 + q**3. Calculate r(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -302 or -293?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 39*t - 553. What is the remainder when 366 is divided by h(9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f - 5. Suppose 5*v - 5*j - 40 = 0, -5*v + f = -3*j - 27. Suppose v*c + c = 40. Solve -5*k + 5*g - 25 = 0, -c = 4*k - g + 2*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-12)\/2)*-9*(9048\/(-585))\/29.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -16 + 2 + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 0*d - 3*d**2 + 4*d**2)*(-6*d + 0*d - d) + (-3*d**2 - 12*d**2 - 3*d**2)*(-28 + 2*d - 31 + 58) to the form t*d**2 + r*d**3 + n*d + a and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.4 (b) -2\/11 (c) 72 (d) -5 (e) 494 (f) 8 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2530, 1770, 1010, 250, -510, -1270?\n\"Answer: -760*g + 3290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*x = -585*x - 5*p + 55, 27 = 5*x + p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77677\/17 - 4572. Let k = x + -5. Which is greater: k or -8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126406 is divided by 21066?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + ((4 + -1 + sqrt(19))**2 - (2*sqrt(38)\/sqrt(2) + sqrt(19)))*-4).\nAnswer: 24*sqrt(19) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6311, 12623, 18935, 25247, 31559?\nAnswer: 37871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1053.98 - 1054. Let c(j) = -j**3 + 5*j**2 - 2*j + 7. Let q be c(5). What is the smallest value in i, q, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let c be s(-3). Suppose 0 = c*u - 4*u. Suppose -3*r + 429 - 90 = u. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (8 - (43 + -11)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 + 17104?\nAnswer: 17151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2495272 divided by 8.\nAnswer: 311909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, x: 10, m: 6}. What is prob of sequence mxmf?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s - 31. What is the remainder when d(-11) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3825270?\nAnswer: 2, 3, 5, 19, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78137 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*i - 2*i - 1230 = 1010 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*j - 14, -28*t + 23*t = -3*j + 26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 smaller than -113\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3854.844 - 3845. Let j = u + -0.044. Let y = j + -10. What is the second smallest value in y, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4ffbf (base 16) to base 2\nAnswer: 1001111111110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**5\/7 - 2103*z**4\/7 - 258894*z**3\/7 - 1014816*z**2 + 2179968*z = 0.\nAnswer: -56, 0, 2, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 16 = 0. Find the third derivative of -f*o**2 - 17*o**4 + 5*o**4 + 6*o**4 wrt o.\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3111210022 + -20?\nAnswer: 3111210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 530710318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56926.57838 rounded to the nearest ten?\nAnswer: 56930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 66*x**2 - 2*x - 9. What is the remainder when s(-3) is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 223 - 10?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*u - 15*u + 49*u - u**2 + 229*u**5 + 72 - 17*u wrt u.\nAnswer: 13740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n**3 + 2188*n**2 + 2018*n - 212 = 0. What is n?\nAnswer: -1, 2\/21, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 - 45174*z + 45175 = 0. What is z?\nAnswer: -45175, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 9}. Give prob of picking 1 x and 3 k.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4489837 and 56727.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drdrddqddxq. Give prob of picking 2 d.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 27. Determine n(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/7)\/(3 - (-153)\/(-68)))\/(200\/(-28)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -15*x + 550. Calculate the smallest common multiple of 34 and j(31).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 20 = -3*l - 0*n, -3*l - 30 = 3*n. Let t(u) = -11*u - 20. What is the remainder when t(l) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -655*c**3 + 2*c**2 + 2*c. Let v be k(-1). Suppose q - 525 = -3*u + 4*q, 5*q - v = -4*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*g = -235, 2*g + 39 = x - 7. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 40 = -2*k, -12*k = -78*n + 75*n + 84 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -2, 5, 20?\n\"Answer: 4*h**2 - 13*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-5 + 7)) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 8:26 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -y - 5, -x = -5*y + 102 - 63. Solve 0 = -n - 5, 7*z = 3*z + n - y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -3, 4\/469, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4 = -5*n - 17, 3*f + 4*n + 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7865159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 31504627?\nAnswer: -31504630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let a(m) = 2*m**2 - m + 4*m**c + 0*m. Let w(f) = f - 2. Let s be w(1). Give a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618.5536 rounded to 0 dps?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 18) + (182\/24 - (-7)\/(-28))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 20 = 0. Suppose -i*a = -3*n - 7, 4*a - 3*n - 2*n - 3 = 0. Suppose 5*t + 4*l = 0, -2*t + t - 4*l = 0. Solve a*v + v = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:46 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7810600 rounded to the nearest 100000?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 14*o - 6. What are the prime factors of m(10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5406, 5, 2, 1, -2\/7, -0.5 in increasing order.\nAnswer: -0.5, -2\/7, 1\/5406, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100\/13 or 9?\nAnswer: 100\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-35) + 5\/(-35). Let o(i) be the second derivative of r + 4*i + 1\/2*i**3 + 1\/20*i**5 + 1\/2*i**2 + 1\/4*i**4. Factor o(n).\nAnswer: (n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6601 is divided by 935?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*x - 95, -5*i + 104 - 31 = 3*x. Let l = x + -7. Suppose -35 = -5*t - p, -p - l - 16 = -5*t. 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: What is 3083.518751 rounded to 1 decimal place?\nAnswer: 3083.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9571 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 4*x + 1. Let o be z(-4). Which is the biggest value? (a) 4 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 198, 276, 334, 366, 366, 328?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**9\/1680 + q**8\/560 - q**7\/504 - q**6\/60 - q**5\/30 - q**4\/6 + 2*q. Let x(g) be the third derivative of m(g). Factor x(y).\nAnswer: (y - 1)*(y + 1)*(3*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**(-9))**33 assuming g is positive.\nAnswer: g**(297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = 1. Suppose 3*z - 76 = -4*y, u*y - 2 + 12 = 0. What is the greatest common divisor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1108.1 + -246.9. Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**3 - 81*p**2 - 3*p - 393. Let b be m(12). Let 4\/3 + 20\/9*x**2 + 4\/9*x**b + 28\/9*x = 0. Calculate x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6440959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**2 - 121*v + 1090. Let x(p) = 3*p**2 + 40*p - 363. Let i(k) = 2*l(k) + 7*x(k). Suppose i(n) = 0. Calculate n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 251, 2068, 7027, 16706, 32683?\n\"Answer: 263*k**3 - 7*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Let z be 1\/(-2) - (-10)\/12. Let t = -0.64 + 0.34. What is the third smallest value in q, t, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from {f: 1, y: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -6*s - 14. Suppose y + 2*b = 14, -y - b = -s*b + 6. Solve 0 = -8*j + 11*j - y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 3*j**7\/175 - 31*j**6\/300 - 11*j**5\/150 + 59*j**4\/60 + 2*j**3 + 1977*j**2. Find w, given that f(w) = 0.\nAnswer: -1, -5\/9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*m + 24 = 0, -2*o - 4297*m + 4302*m - 30 = 0. What is the nearest to 1 in -5, o, 25\/4, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 55*y + 360. Give s(-44).\nAnswer: -2060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) 2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2 - 30\/(-10). Let c = 5.6 - 6. Sort c, z, -2\/3 in decreasing order.\nAnswer: z, c, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*q = -293, 4*z - 225 = -4*q + 47. Let u = -75 + z. Let j be 6828\/108 - u\/(-18). What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 74 = -3*i. What is the greatest common divisor of i and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2245*p**2 + 2083*p?\nAnswer: -4490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 10, v: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) + 55\/45.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -58039539285 and 1129.4.\nAnswer: -58039538155.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -145 + 139 + (-22 - (0 + 3)) + -3\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-10 - -12) + -10 - -13) + (-5808)\/1168\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -8. Let y = -1.2 + 0.2. Let x = y + 1.2. Is w != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 15) + (25 - (-8 + -13))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 23*w. Let p(q) = 319*q + 322*q + 317*q + 323*q - 1287*q. Calculate p(i(g)).\nAnswer: 18*g**2 + 138*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/21))\/(a*a**(33\/2)) assuming a is positive.\nAnswer: a**(-689\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(252))**2*1 - 4*(sqrt(252) + (sqrt(252) + 4*sqrt(252))**2 + sqrt(252)) - (1 + (3*sqrt(252) - sqrt(252)) + (-3*sqrt(252) + 3 - sqrt(252)))**2.\nAnswer: -25972 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:13 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -4.81118388?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -6, -2 in decreasing order.\nAnswer: 4, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -3.7, 38 in increasing order.\nAnswer: -3.7, -3, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(3 + -1) + 6. Suppose -3699*n + 378 = -3697*n. Suppose -q = -k*q + n. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/880 and 79\/13464?\nAnswer: 134640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 7*d + 6. Let x(f) = -f**2 - 4*f + 3. Let j be x(-4). Suppose z - 1 + 9 = 4*l, 3*z = -j*l + 36. What is the tens digit of g(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 13\/12*k**4 + 18*k + 0*k**5 + 0*k**2 - 5\/42*k**7 + 0*k**6 + 0 + 0*k**3. Find the third derivative of o(d) wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 5*k**2 - 5*k - 6. Let x be i(6). Suppose -552 = -3*f + 2*z, x*f - f + 198 = 4*z. Let s = -131 + f. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/5)\/((-658)\/70 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225642?\nAnswer: 2, 11, 55711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 6*m**2 + 16*m + 9. Give v(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 60*f**2 - 16*f - 16. Let t(y) = 20*y**2 + y. Let u(g) = -68*g**2 - 7*g - 3. Let z(o) = 4*t(o) + u(o). Give 3*k(w) - 16*z(w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 14*o**2 - 2*o**3 + 21 - 11*o - 3*o**3 - 3*o**2 + 3*o**3. Determine u(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j + 121 = -107 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.25 - -0.35. Let t(g) = g**2 - 7*g + 7. Let n be t(6). Do n and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (61*224\/20496)\/(88\/(-6))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*0*(-135)\/270.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 108752525.\nAnswer: -108752524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 992102119 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.564 - 3.\nAnswer: -5.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3*u - 2*u)*(-42*u - 14*u**2 + 42*u) to the form v*u + h + q*u**2 + k*u**3 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333242 (base 6) in base 12?\nAnswer: -5a222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 z when three letters picked without replacement from {x: 10, z: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 374337346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c + 2 = 0. Let m = -210 - -212. Solve -2*s - m*s + x - c = 0, 0 = s + 2*x + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 541.5 and -2.\nAnswer: 539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -28c2?\nAnswer: 28bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 20217.4505 to the nearest 10.\nAnswer: 20220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - r**4 + 0 + (r + r - 5*r)*(2*r**3 - 2*r**3 + r**3) in the form s*r**2 + c*r + d*r**3 + v + t*r**4 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11716*v - 197975 = 11691*v. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/3? (a) -250 (b) -14 (c) -3\/7 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/317 + 5499\/3487. Which is bigger: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nayyynnnnaynbn. What is prob of picking 1 a, 1 b, and 1 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 190 + 71 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29251*u + 1550*u - 29445*u)*(0 - 1 + 0) as l + m*u and give m.\nAnswer: 57146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1011.5 * 0.4.\nAnswer: -404.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1904, 1958, 2012?\nAnswer: 2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-204))\/((-410)\/(-5576)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammamaaaam. Give prob of sequence mma.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a + 616 = 39*a. Let f(k) = -k**2 - 10*k - 6. What is the remainder when a is divided by f(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 1 - 1)*(1 - 3 + 4) + 5*j - j - 6*j to the form r*j + o and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o**4 + 23*o**2 + 3*o - 3. Let r(k) = 13*k**4 - 23*k**2 - 4*k + 4. Let h(x) = 4*p(x) + 3*r(x). What is the third derivative of h(q) wrt q?\nAnswer: -216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i**5 - 12980*i**4 + 82564*i**3 - 134924*i**2 - 12984*i + 78336 = 0 for i.\nAnswer: -1088, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 6 = 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.12591 times 4\nAnswer: -12.50364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + (-1*(sqrt(2057) + -1) - sqrt(2057)) + 6*(sqrt(2057) + 0 + sqrt(2057)) + -2 + -1 + sqrt(2057))**2.\nAnswer: -1452*sqrt(17) + 248935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 440 and 7813608.\nAnswer: 39068040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149520 and 330120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 10, -18, -3, -53, -2, -5 in increasing order.\nAnswer: -53, -18, -9, -5, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k**2 - k + 1. Let s be m(2). Is (s\/12)\/(4\/(-112)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -h - k - 3, h - 5*k - 1 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f + 76. What is the highest common factor of 57 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q + 21. Let b(r) = -r**3 + 4*r**2 - 3*r + 6. Let t be b(4). Give k(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - ((-20 - 1) + 16) - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 7\/4, -8, -9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:40 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 - -196. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-664)\/(-6))\/2)\/((-4)\/(-114)). Let g = i + -954. Suppose 6*u + u = g. What are the prime factors of u?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10400138?\nAnswer: 2, 7, 199, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15345919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:37 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + 38*i**2 - 35*i + 87. Is f(17) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 3*y + 14. Suppose -3 = 2*n - 5*n, -10 = 2*x + 2*n. What are the prime factors of u(x)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.371836 millennia in centuries?\nAnswer: 93.71836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/52093134 and -47\/324?\nAnswer: 937676412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*w - 4*c - 18, -5*c = -3*w + 22. Let t be 3*w + (-7)\/(-1). Let q = 0 + t. What is the remainder when 5 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 + 815 = 2*v. Let f = 1206\/5 - v. Which is the biggest value? (a) 0.29 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/19 in -24, 356, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 4\/9, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrggrrr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*d + 408 = -0*z, 4*d + 510 = 5*z. Suppose -6*s + z = -3*s. Suppose 0 = 4*t - 6 - s. What is the smallest common multiple of t and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3135.8452 - -3136. Round g to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/13*14443\/202.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/3 (b) -1\/46 (c) -20\/11 (d) -382\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + -1)\/1 - -2. Let p be l*2\/((-3)\/(3\/(-16))). What is the biggest value in -1, p, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 2*m + 2*m**2 - 441 + 4*m + 405.\nAnswer: 2*m**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*j - 64*j - 155*j + 94*j in the form u*j + g and give u.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 11413415?\nAnswer: -11413421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*y = -886 + 10948 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6189*u - 6413*u = 5600 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 2*g**3 + 0*g + (4*g**3 + 2*g - 2*g)*(1 + 1 + 0) + 249*g**3 - 122*g**3 - 131*g**3 to the form t*g + a*g**3 + f + u*g**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 7*o**4 + 3*o**4)*(0*o + 4*o - 6*o) + 3*o**5 - 3*o**5 - 2*o**5.\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 24 = -3*i. Solve 2*t + 4*f = -0 - i, 4*t - 40 = 5*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1665 and 7.3216661849.\nAnswer: 1672.3216661849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 344*b**3 + 458*b**3 + b.\nAnswer: 802*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1759142 = -413*b + 427*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12))\/(7 - (-22)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 424204423?\nAnswer: 424204442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*(-5 - 20\/8). Let b(c) = 3*c - 6. Determine b(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -440. Let p(m) = -m + 22. Let c(x) = -i(x) - 20*p(x). Let y(h) = -370*h**2. What is y(c(j))?\nAnswer: -148000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73728, -294924, -663600, -1179762, -1843416, -2654568, -3613224, -4719390?\n\"Answer: -x**3 - 73734*x**2 + 13*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 27358*j = 27362*j + 24, 0 = -4*y + j + 39 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-138)\/(-24) + (-10)\/(-40). Let y(b) = 13*b**2 + 15*b + 32. Let m be y(-5). Calculate the highest common factor of m and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273523 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -20.2. Let g = -2 + o. What is the third biggest value in -0.3, 6, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2206878 to the power of 1\/2, to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7321258 is divided by 332.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 0. Let v be 6\/m*(-1 + 0). Suppose -5*l + 2*y + y = 8, -v*l - 5*y - 32 = 0. Let b(d) = 2*d + 4. Determine b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.021*-2.9.\nAnswer: -0.0609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((189\/(-756))\/(2\/(-4)*-1))\/(2\/(-236))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (-7 - (9 + -19 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2275004ml in litres?\nAnswer: 0.0002275004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1638192 plus -10?\nAnswer: -9.8361808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -88, -3, 15, 69, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -3\/7 (b) -3 (c) -30.8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242060 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 7*f**2 - 7*f. Let z be y(-6). Calculate the common denominator of -69\/22 and (-8)\/z*(-798)\/209.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*f - 5, 6 = 3*f - f + t. Suppose b - 8 = -f*c, 0 = -4*b - 2*c - 4. Let i = -5\/7 - -3\/14. Which is greater: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 62 - 6*p**2 + 4*p**2.\nAnswer: -2*p**2 + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1512567352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 0.05696?\nAnswer: 0.24304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*m**2 + 0*m**3 - 201*m**2 - m + m**3 - 94*m**2 to the form s*m**3 + w*m**2 + z + y*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1, 14 in decreasing order.\nAnswer: 14, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/17)\/(((-2)\/3)\/(-1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-9)*582\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/2 - (2 - 4). Suppose 2*r = -2*r + 3*w + 129, -r = 5*w - s. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -255*z**2\/2 + 7*z + 7. Is p(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-17) + (56826\/102 - 3).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(1*sqrt(10)\/sqrt(2)))\/(2*sqrt(275)*2).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**2*v + 20*p**2 + 3*p*v - 1402*p - 4388139*v wrt p.\nAnswer: 4*p*v + 40*p + 3*v - 1402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p. Let y = 10 + -8. Let l(i) = i**y + 2*i**2 - 5*i**2. What is l(j(x))?\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58332903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/22)\/(1\/(-24)*-4). Let z(v) be the third derivative of 0 - 7*v**2 + 0*v**4 - 1\/150*v**5 + 0*v + 1\/15*v**n. Solve z(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5158 + -0.0158. Let z = -447 - -428. Which is the nearest to z? (a) -0.4 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 112\/10813 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:14 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -6 - (-13 + 33 + -21)) + 65.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(6\/14))\/((-48)\/152 + 679\/(-798)). What is k in -82\/7*k**f - 2\/7*k + 0 = 0?\nAnswer: -1\/41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*s - 86730 = 0, m + 3*m - s - 86742 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169842.9 millilitres in litres?\nAnswer: 169.8429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 138, 140, 142?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*z - 96*z = 14. Let u = -0.01 + 0.31. What is the fourth biggest value in u, z, -0.04, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*j - 148 = -46, 5*p = 2*j + 284. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q + 5*q + 15 + 2 + (q + 2*q - 5*q)*(-2 - 2 + 3) - q + 0*q + 3*q to a + m*q and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12678\/2*1*28\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5681 - 104*l - 5681 to w + s*l and give s.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318454 = 93*d - 1844482 + 30260. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6942 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/1)\/(((-12)\/(-423))\/(-2)). Let y = i + 152. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -379083771?\nAnswer: 37908377.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 7*n**2 - 8*n - 2. Let k be t(-8). Let f be k*((-9)\/3 - -2). Put -0.3, 4, f in increasing order.\nAnswer: -0.3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -400 less than -400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*k, -4 = 3*p - 5*p + 4*k. Put 4, -9, p in increasing order.\nAnswer: -9, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/10*80\/(-24). Suppose 3*n + 0*n = v. Suppose -n*i + 6 = -2*i. Solve -m - m + i*f + 3 = 0, -4*m = 2*f + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(5\/(-10)). Let f = -0.5 + 1.5. Which is the nearest to u? (a) -0.1 (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h**2)*(h + 0*h**3 + 2*h**3 + 2*h).\nAnswer: 4*h**5 + 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26592.0183 + 26255.018121. Let b = -337 - m. What is b rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/1164 or 1?\nAnswer: -17\/1164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 633, 955, 1277, 1599, 1921?\nAnswer: 2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148539273?\nAnswer: 7, 41, 81671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -a - 2*n + 29, 20 = 4*a + 4*n. Solve -13 = -a*p - 40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 20*x**3\/3 - 1. Let j(u) = 4*u + 34. Let i be j(-8). Let g(d) = 16*d - 16*d + 0*d**i - 2*d**2. What is g(t(f))?\nAnswer: -800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 14*n + 18. Let l be c(12). Let s(x) = -11*x**2 - 2*x - 13. Let b(i) = 5*i**2 + i + 6. Calculate l*s(m) - 13*b(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 684 = -7*i. Let u be (0 + -3)*(6 + -3). Let h be 12\/(-9)*u\/i. Is h < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) 0 (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 13*m + 82 - 152 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 513330 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.0434, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u + 37. Let s be l(6). Suppose -3*b - 2*b + 15 = 0. Put b, s, -5 in decreasing order.\nAnswer: b, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 15. Let p be (-42)\/(1386\/(-363)) - (-86)\/(-8). Sort p, -4, -7.9, o in decreasing order.\nAnswer: o, p, -4, -7.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8288000 by 740.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-13\/3)*(x\/x**12)\/x)\/((x*x**(-1\/6)\/x)\/x*x*(x\/((x**3*x)\/x))\/x))**(-9\/4) assuming x is positive.\nAnswer: x**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkkxmkmhkmeeeke. What is prob of picking 1 m, 1 x, and 1 e?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7073, 2, 2\/3, -4, 3, -0.2 in increasing order.\nAnswer: -7073, -4, -0.2, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 9 = -9. Suppose 3*q + 3 = l*a + 10, -2*a = -q + 1. Suppose a = -3*v - 2*d - 0, 3*v - d = 5. Solve -v = -3*n - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 300, 686, 1230?\nAnswer: 1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 14*x**2 + 6*x - 11. Let c(o) = -17*o**2 - 6*o + 12. Let r(j) = -5*c(j) - 6*g(j). Calculate r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3549 divided by -7.\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 249880 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 + (-501)\/12. Let z = 42 + r. Let f(v) = -2*v - 2. Let s be f(-3). Solve z*x + 5*o - 4 = -2*x, -s*x = -2*o - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 242*g - 240*g + 14 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -308 + 290.1. Let f = z + 18. What is the biggest value in -2\/19, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 852 = -213. Let z = -143 + u. Suppose -k + z = k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56785 times -273?\nAnswer: -15502305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5756.596 + 5737. Round q to 1 dp.\nAnswer: -19.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5580\/(-4650)*(-4)\/(-12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -307 + 349. Suppose -5*y + 1715 = d, -i*d = -38*d + y - 6803. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 3*b. Let j(r) = r**2 + r. Suppose 624*w + 9 = 633*w. What is w*h(a) + 2*j(a)?\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**4 + w**3 + w**2 - 4. Let f(q) = -25*q**4 - 47*q**3 - 4*q**2 + 4*q + 16. Let b(a) = -f(a) - 4*n(a). Determine m so that b(m) = 0.\nAnswer: -2, -1\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14072036 by -5.\nAnswer: 14072036\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 29*v**2 - v + 2*v - 22*v**2 to w*v + k*v**2 + u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/16 + 7*r**4\/48 + 29*r**3\/12 - 3*r**2 - 5*r - 36. Determine i, given that f(i) = 0.\nAnswer: -3, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*o**4 + 4*o**3 - 9*o**2 - 599318 with respect to o.\nAnswer: -84*o**3 + 12*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {b: 5, j: 6, x: 1, v: 1, k: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + -1.8. What is the third biggest value in 2\/5, r, -8\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4069 and 19201.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {o: 2, n: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6)*(-147)\/196*0)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41288 by -8.\nAnswer: -5161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41263 * -44.\nAnswer: -1815572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2? (a) 67\/11 (b) -4 (c) -1\/66 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 5*x**2 + x + 6*x**2 + 3*x**2. Let j(l) = 2*l**2 - 37. Determine t(j(b)).\nAnswer: 16*b**4 - 592*b**2 + 5476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*c**2 + 22*c**6 - 2*c**6 + 2*c**2 wrt c.\nAnswer: 2400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -628 (base 9) in base 15?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -20*b**3 - 65*b**2 - 44*b - 3. Let z(j) = j**3 + j**2 + 1. Let n(m) = 4*x(m) - 20*z(m). Suppose n(s) = 0. Calculate s.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.990911ml?\nAnswer: 0.000990911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 214*k + 26282. Determine v(-73).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/465*(-2830)\/(-16). Let t = q + -1\/93. Let o be 16*(-5)\/(-100) - 84\/130. Which is the nearest to -1? (a) o (b) 2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52808?\nAnswer: 2, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s - 1 = -73. Factor 0 + 0*d**3 + 1\/3*d - 1\/3*d**5 + 2\/3*d**4 - 2\/3*d**s.\nAnswer: -d*(d - 1)**3*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.18058.\nAnswer: 0.054174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (13 + -2 + 1). Let c be 98\/6 - 6\/r. Suppose -t - 4*o = -0*o + c, 4*t + 5*o = -35. Let m(y) = -y - 7. Give m(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Suppose 3*z - 5*i = -i - 17, i - 17 = 5*z. Suppose 2*w + 5*h - 3 = -2*w, 2*h - 6 = -4*w. Put r, w, z in increasing order.\nAnswer: z, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 12*z + 2. Let c be h(-12). Suppose -8*a - c = 6. Let d = -4 - 0. Put d, -5, a in descending order.\nAnswer: a, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/38, -4, -0.1, -2, -2\/11, -11?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 14.211?\nAnswer: -2.8422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 70455.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -126*h**2 - 1782*h - 170. What is y(-14)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(((p*p\/(p**(4\/3)\/p))\/p)\/p)\/p)\/(p*((p*p\/((p**26\/p)\/p*p)*p)\/p)\/p) assuming p is positive.\nAnswer: p**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-76)\/(92253\/30750 + -3*1). Round g to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 700, 2792, 6270, 11128, 17360, 24960?\n\"Answer: -q**3 + 699*q**2 + 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkpp when four letters picked without replacement from pjgkpplkgky?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15 + (33\/5 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.3 and -17.04168.\nAnswer: -9.74168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*l - 6244 = -4528 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(12\/5)*(b**(3\/2)*b)\/b*b assuming b is positive.\nAnswer: b**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93 - -23)*(-8)\/32?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 13*n = 9. Let v be 4\/2 + 0\/n. Let j(s) = 22*s - 8*s - 7*s - 4 - 3*s**v + s**2. Give j(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 5, 2620 in ascending order.\nAnswer: -4, 3, 5, 2620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lft when three letters picked without replacement from sftlzzv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-202)\/104)*148\/(-2775)*-25\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000100 + -10?\nAnswer: 1111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11817*r - 47247. What is f(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**4\/2 - 5. Let p be t(-1). Let f(j) = -j**3 - j**2 + j + 2. Let v be f(p). Solve w - v*y - 17 = -0*y, 4*w = -5*y + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -70. Let j = k - 45. Which is the third smallest value? (a) -1\/5 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p - 86 + 86)*(-6 + 3 + 2) + 13 + 4*p - 13 + 0 + 0 + 2*p - p - 1 + 1 + (5*p - 4*p + p)*(3 + 2 - 3) - p + p + 2*p to u + b*p and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39.4 - 39. Which is the biggest value? (a) -1 (b) -0.3 (c) -0.4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 23?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.9934 less than 110340?\nAnswer: 110367.9934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.44 - 0.8. Let a = -0.36 - y. Is -11 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b4 - a?\nAnswer: 8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.81 - 9.81. What is the closest to q in -1\/3, 38, -3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 * -186513\nAnswer: 7460520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 2*p - 5*p)*(32*p**4 + 64*p**4 - 57*p**4).\nAnswer: 39*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48431345.\nAnswer: 5, 79, 122611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, a: 2}. What is prob of picking 1 r and 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 18. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 - 739653*a**2 + 14*a - 37970.\nAnswer: -12*a - 1479306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2286\/73 in 2, 4, -2, -1\/3, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -125908 times 726\nAnswer: -91409208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 7, 26, 5, 1, 0, -7 in increasing order.\nAnswer: -62, -7, 0, 1, 5, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 430436687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*i + i. Let g(h) = 5*h - 2*h**3 + 3 - 5*h**2 - 3 + 12 + h**3. Calculate the least common multiple of g(-6) and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5*g**3*g*g*g\/(g**(-1\/4)*g)*(g\/g**3)\/g assuming g is positive.\nAnswer: g**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1180803*x - 590369*x - 590411*x.\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.8029 millimeters in kilometers?\nAnswer: 0.0006148029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y - 41. What is the remainder when h(-19) is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 minus 31632279?\nAnswer: -31632279.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 + 2*j**2 - 47*j**2 - 16*j**3 + 39*j**2.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*x = -15, j + 0*x = -x + 4. Sort 66, 0, j, 3 in decreasing order.\nAnswer: 66, j, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - 0 - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-14)*(-2)\/24*-4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from heeh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28093*d*q**2 + 3318*d*q + 2033*q**2 - 280*q + 40 wrt d?\nAnswer: -28093*q**2 + 3318*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002426 to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -19*v - 120. Let w be t(-6). Put w, -2, 14 in descending order.\nAnswer: 14, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 904519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + -122232?\nAnswer: -122155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62369.\nAnswer: 47, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + (5 - 3 + 0)*(-1 + 1 + 2) + 2 - 3 + 3 + 1 - 1 - 1)*(-11*l**3 - 19*l**3 + 5*l**3).\nAnswer: -150*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1951, 1301, 211, -1319, -3289, -5699?\n\"Answer: -220*p**2 + 10*p + 2161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 714349320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 17*o**3 + 14*o - 3*o**4 + 7*o - 36*o**2 + 3*o.\nAnswer: -3*o*(o - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 8*x**2 - 21*x + 15. Let r be w(10). Let v be 3*(-3 + 1 - -5). Let b = 678 - 667. Solve 0 = -r*o + b + v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4501*d - 12288 = 4495*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*j + 63*j - 193*j + 2013 + 64*j + 2894 as x + z*j and give x.\nAnswer: 4907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 26. Suppose w*m = 52 + 104. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.06373 to two decimal places.\nAnswer: 24.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 254 = -119 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbttbbttttt. Give prob of sequence btt.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16 and -191.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 7:32 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 + 7*x - 3. Let j be z(-7). Let w = j + 573. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 - 80. Suppose -4*z - 4*r + q = 0, -z + 2*r = -r + 12. Calculate the remainder when 2 is divided by 4*((-15)\/6 + z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + (0 - 4) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 18*i**2 + 3*i + 8. Let y be (10\/3 - 4)*-6. Is z(y) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - 6a21c?\nAnswer: -6a209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -135, -211, -287, -363, -439?\n\"Answer: -76*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - t**2 - 8*t + 2*t**2 + 4. Let x be f(5). Let y be 88\/77*(-35)\/10. Sort y, 5, x, 10 in descending order.\nAnswer: 10, 5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 67, 10 in descending order.\nAnswer: 67, 10, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 3*r - 3*r)*(3 + 9 - 3 + (0 - 1 - 4)*(-5 + 5 - 1)) - 2*r**2 + r**2 + 5*r**2 in the form q*r**2 + t*r + a and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74980 and 7129540?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -1. Let b = 0.48 - 0.18. Let y = s - b. Which is smaller: -2\/13 or y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1074*u**2 + 1074*u**2 + 7*u**3 - 2*u as a + l*u + h*u**3 + s*u**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.83 (b) 2\/5 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106013837 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13336 (b) -5 (c) -234\/179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95318660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 4, u: 5, k: 1, i: 2, s: 2}. Give prob of sequence kii.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4671 + -20081.\nAnswer: -15410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28293a + 0?\nAnswer: 28293a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 40. Let c = 223 + p. Is c a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.5, 0.15, -0.5, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a factor of 29817876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*s = 2*s + 8, 3*g + 2*s - 20 = 0. Suppose -4*a = a - 15. Suppose 16 = x + a*x. Calculate the remainder when g is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 25*c + 76. Let m be q(-23). Let n = 33 - m. Let u(y) = -2*y - 3 - n*y**3 + 2*y**3 - y**2 - 3*y**2 - y**2. What is u(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/26 and 61\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004872268 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(152) - (sqrt(152) - (sqrt(152)*-1 - sqrt(152))))*5)\/((sqrt(800) - ((2*sqrt(800) - sqrt(800)) + sqrt(800)))*3).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + 5873 + -5942.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 7*h + 6. Let q be u(7). Let n be ((-20)\/q)\/(2\/3). Let z be 1 + (0 - 2) - 1. Which is the smallest value? (a) 1\/8 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100759 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7772 and 120466.\nAnswer: 240932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fddfdnd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*x. Suppose 2*b + 2 = 0, -c - 2*b - 2 = -2*c. Let c*f**2 - 8*f**2 + 2*f + 6 - 2*f**3 + x*f**2 = 0. Calculate f.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 109546674 and 109546675 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1021 greater than -1015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7081.\nAnswer: 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 25 + 10 + 11 + 0*d as r + i*d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2 + 2*f - 5*f**2 + 11*f**2 - f + 5*f. Is h(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 3*n**2 + 20*n + n**2 + 37*n**2 + 0*n**4 - 2*n**4 + 10*n**3.\nAnswer: -5*n*(n - 4)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -212, -226, -234, -230, -208, -162, -86?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 10:20 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3837 and 19185?\nAnswer: 19185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a + 630. Suppose 0 = 2*h + 19*h - a. Solve 0*s - 2*s = h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3596 and 7440.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l - 2*c = 74, 3*c - 15 = 0. Let u = -10 + l. Calculate the greatest common factor of u and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585 divided by -517?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 9 + -4 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*922\nAnswer: -46.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c3c + -69bb?\nAnswer: -2a7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(-28 + (-35310)\/(-1260))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654016 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 120\/(-56) + 2\/14. Let p be (-2 - 0)\/m - 2. Calculate the remainder when 32 is divided by (18\/p)\/((-24)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 15*f**3 + 1 + 0.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by -13\nAnswer: 164\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/9 and (0 - -3) + (-2 - 23\/(-27)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922981 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15285709, 4\/5, 1\/8, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2386 + 7.5236. What is h rounded to one decimal place?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 20c1a?\nAnswer: -20c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11475405 divided by -2.\nAnswer: 11475405\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 8, 0, -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/17 - 222310*v\/17 - 102941700\/17.\nAnswer: -2*(v + 465)*(v + 110690)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*m**2 + 2 - 301*m**3 + 0*m - 208*m**2 - m + 105*m**2 - 6 to the form i*m**3 + q*m + a + z*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0611648142 to 3 dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - 0) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221*n**5 + 32*n + 5 wrt n.\nAnswer: 4420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i - 3. Let c = -128 + 139. Let u be q(c). Suppose -3*n + u = z + 2*z, 155 = 5*z - 5*n. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (44 - 25) - -36?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(21)\/(sqrt(3)*6)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (sqrt(1331) + (sqrt(1331) + (sqrt(1331) - (4 + (sqrt(1331) - sqrt(1331)*-3))) - sqrt(1331)))*-4)*-2)**2.\nAnswer: 10560*sqrt(11) + 341636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -191. List the prime factors of v.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 - -6 - -2 - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.8 + 2. Let z = j + -44. What is z rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.18 + 3.16. Let o = -1.8 - -2.22. Let h = o + n. Round h to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = v + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 13*c**7\/7 - 11*c**3\/3 - 15. What is the third derivative of s(f) wrt f?\nAnswer: 1560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b - 5*b**2 - 11*b**2 + 31*b**2 to the form j + m*b + y*b**2 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 16*n**2 + 6*n - 393. Let g(o) = 3*o**2 + o - 79. What is 11*g(t) - 2*h(t)?\nAnswer: t**2 - t - 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7855.555 kilograms?\nAnswer: 7855555000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -3, 0, -29, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7290667\/20 or 364534?\nAnswer: 364534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 460\/(-5)*(4\/(-8) - -1). Let f = x + 50. Is 13\/5 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -40*w + 119. Let y be q(6). Let o be ((-57)\/4)\/(1\/4). Let d = o - y. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.8, 4, 0.1, 89, -3\/2 in descending order.\nAnswer: 89, 4, 0.1, -3\/2, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 15*d**2 - 12*d + 20. Let l be h(-14). Let n = l - -11. Solve -w = -2 + n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/412, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37087 by 6.\nAnswer: 37087\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/13 (b) 3\/2 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 98\/(-96))*(-14 - -17)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from wyqqy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -411 at least as big as -35083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 7. Let s(w) be the third derivative of -w**5\/30 + 11*w**4\/24 + 7*w**3\/6 + 15540*w**2. Give s(a).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*b - 73*b + 672 = -483 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imny when four letters picked without replacement from pyimntiipnn?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -15*z**2 + 0*z**3 - 1\/3*z**4 + 0 + 1\/60*z**5 + 0*z + 1\/120*z**6. Let v be q(3). Solve y - 5*y + v = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 4501*z - 4502.\nAnswer: (z - 1)*(z + 4502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-14)*x*x**(2\/21))**4 assuming x is positive.\nAnswer: x**(-1084\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y + 3*y**2 - 6*y**4 - 3*y**4 + 0*y**2 + 11*y**4 + 7*y**4 to the form i*y**3 + n + j*y**4 + l*y + f*y**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - 1 - (8\/2 - 7). Calculate the least common multiple of j*(6\/24 + (-59)\/12) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 2*s**2. Let q(r) = -2*r**3 - 32*r**2 + 7*r**3 - 4*r**3 + 33*r**2. Determine -a(c) - 3*q(c).\nAnswer: -c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 3*k**2 - k - 1. Suppose 3 = 2*v + 9. Let m be q(v). Suppose 0 = m*o - i + 2, 3*i + 1 - 13 = 0. What is the least common multiple of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2 - 27834*o - 12918360 = 0.\nAnswer: -8788, -490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 2*s - 1 + 9*s**3 - s**2 + 8*s - 3*s - 6*s to q + a*s**4 + n*s**2 + t*s**3 + p*s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q - 12*q**2 - 11*q. Let v(m) = -m. Give v(p(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000000101001001000111 - -1101?\nAnswer: -11000000101001000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 3. Let l(p) = 34. Let v(o) = -l(o) + 6*s(o). Let z be v(-9). Solve -6 = -z*q + 2*m, m = -q - 4*m - 27 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*q + 1 - 7, -2*q = l + 7. Suppose -2*b - 58 = -5*k, -2*b - 2*b = -l*k + 32. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 173*m + 1021. What is r(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103334 = 13*u + 3*u - 103478 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7666698853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/1*-6)\/(16\/(-256)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -11688?\nAnswer: 11688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s**5 + 6*s**2 - 5*s + 6. Let a(f) = 13*f**5 + f**4 - 8*f**2 + 5*f - 7. Let c(d) = -3*a(d) - 4*k(d). What is the second derivative of c(o) wrt o?\nAnswer: 260*o**3 - 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - h. Let g be v(-1). Solve 2 = 3*o - g*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:27 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10950 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2161929878.2 - -2161930005.92403267. Let c = -138.724033 + h. Let d = c - -11. What is d rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -473 + 788. Let b = 314.99999265 - r. Round b to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/4 - 8*y**3\/3 - 4*y**2 - 2*y + 2. Let m be q(-7). Suppose -6 = -3*x, m*c + x + 82 - 269 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -4*b**2 - 8*b**3 - 13\/2*b**4 + 0*b - 1\/3*b**6 + 14 - 12\/5*b**5. Find s such that r(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69013, -138053, -207093, -276133, -345173, -414213?\nAnswer: -483253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46841 and 248?\nAnswer: 374728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + 0*z)*(6 - 4 - 3) + (-4 + 4 + 3*z)*(-2 - 2 + 5).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2470378, -4940755, -7411132, -9881509, -12351886, -14822263?\n\"Answer: -2470377*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2058 + 295 = -2*k - u, -4*u + 28 = 0. What is the remainder when k is divided by 50?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 2*s - 2*s to f + m*s and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 14) + (4 + 110 - -7 - 23).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let f be 3*(z - 15\/(-9)). Sort 0.6, f, -1 in descending order.\nAnswer: f, 0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408134 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.754 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 5*r - 37280. Let b(v) = -2*v**2. Determine g(b(j)).\nAnswer: -12*j**4 + 10*j**2 - 37280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 1, j: 3}. Give prob of sequence hjj.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1287 - -19736\/1287. Calculate the common denominator of 99\/16 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 14 = -2*s, 30*s + 21 = 35*s + o. What is the second derivative of -191*y + 53*y**5 + 444*y - 14*y**s wrt y?\nAnswer: 780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 0*q**2 - 2*q**2)*(-7*q**3 + 9*q**2 - 9*q**2) - 3*q**5 + 0*q**5 + 2*q**5.\nAnswer: 34*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 100, -0.2, -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/11 + 12*u**3\/11 + 10*u**2\/11 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {w: 1, b: 3, e: 2, s: 4, z: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 81\/(-36)*1\/(-18). Is 1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2 and -131\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31296268, 62592536, 93888804, 125185072, 156481340?\n\"Answer: 31296268*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -32*w + 36*w. Let j be (-56)\/(-3) - 30\/45. Solve l - j = -w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351 divided by -13\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -b + 5*b - t, b + 3*t - 19 = 0. Suppose -q - b*g = -0*q - 53, 0 = -2*q + g + 97. Let y = -41 + q. Let w(l) = -l + 1. Calculate w(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56958.39ms in microseconds?\nAnswer: 56958390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2703\/80 - 168\/5. Let z = 1\/80 + c. Is 0 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281996545?\nAnswer: 5, 101, 337, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 400*j**4 + 3512760*j**3 + 143165876*j**2 + 1425711258*j - 749086218 = 0.\nAnswer: -8741, -207\/10, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4.2*-0.4\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + z**3 - 3969*z + 2 + 3970*z - 3*z**3 to b*z**2 + c*z**3 + u + f*z and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 + 19 = 135*k + 87 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 16*u**2 - 27*u + 10. Let l be a(14). Solve -5*k - 25 = o, -8*o - l = k - 4*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1273.015 + -1268. Let p = 5 - c. Round p to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j**3 + 5*j**2 + 4*j. Let b be n(-3). Is (-5)\/(b\/(-123) + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v**2. Let r(d) = 17*d - 52*d + 20*d + 17*d. Determine p(r(f)).\nAnswer: 56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 15*c = 16. Suppose 0 = -0*r - 5*r + 10. What is the third derivative of -4*z**r + c*z**4 - 4*z**4 + 4*z**4 + 8*z**2 wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 1235 - 11 = 0. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + sqrt(125) + -2 + (sqrt(5) - (3 + sqrt(180))).\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*4\/(-12))\/((-2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 10:52 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7 of a week in days?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 177, 276?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {j: 5, n: 2, k: 2, d: 3, f: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11000101 (base 2) to base 9\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let b = -76 - -25. Let n = 52 + b. What is the biggest value in n, m, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = -8. Calculate the greatest common factor of 32 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25436, -50846, -76230, -101588, -126920, -152226, -177506?\n\"Answer: 13*q**2 - 25449*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016024 rounded to six dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159 - 158.29. Let g = -0.638 + p. Let l = g - 0.0720355. Round l to 6 decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101010111 + -11?\nAnswer: -1111101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238751699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (8 - -1) - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*k**3*u + 44*k**3 + 171*u + 2 wrt k?\nAnswer: 36*k**2*u + 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 9169024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 196 = q - 4*m, -2*m + 47 = q. Suppose -q = -i - 0*i. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 49 - 29 = 0. Suppose -v - 10 + s = 0. Suppose -3*f = -2*l - 0*f + 15, -3*l - 2*f + v = 0. Solve d - 5*g - 1 = -11, -l = -5*d - 3*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -7 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - x + 3. Let z(f) = -f**2 - f + 4. Let h(a) = -5*p(a) + 4*z(a). Suppose 2*i = -2*d + 16, i + 0 - 2 = d. Is h(d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 110*r**2 + 1.\nAnswer: -110*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 15 = -4*j. Suppose j = 5*f - 0*f. Factor -104\/5*o + 98\/5*o**3 - 16\/5 - 28*o**f.\nAnswer: 2*(o - 2)*(7*o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -166810 to the nearest 1000.\nAnswer: -167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1259)\/(28\/(-21)*(-6)\/(-6568)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:34 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 1091010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -656, 3, -8.1, 5\/2, -2\/5?\nAnswer: -656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**3 - 154*t**2 + 14*t - 101. What is the remainder when y(-31) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840185570 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/117))**(-1\/11)\/((t*t**(5\/8))\/(t*t*t**(-5\/9))) assuming t is positive.\nAnswer: t**(-1843\/10296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28022 - -28020.9984. What is u rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r. Let l(c) = 2*c. Let d(a) = l(a) - 5*m(a). Let x(i) = 6*i - 2*i + 343 - 193 - 81 - 77. Determine d(x(f)).\nAnswer: -12*f + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from myhjmyhj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 3*h = -63. Suppose -3*k + 4*k + 4*x = 141, h*k + 5*x = 423. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4. Let f(t) = -5*t**2 + 65*t + 54. Let o(s) = f(s) + 4*n(s). Factor o(m).\nAnswer: -5*(m - 14)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.823723 grams?\nAnswer: 0.004823723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1911, -9930, -23207, -41670, -65247, -93866, -127455, -165942?\nAnswer: -209255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 44 = -4*t - 46, -q + 2*t = -24. What is the third derivative of -10*o**6 + q*o**6 + 8*o**6 - 2*o**2 wrt o?\nAnswer: 1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + 2*x**4 - 4*x**4)*(-3 - 2 - 1)*(-3 + 4 + 1)*(0 - 4 + 2).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3887 - -3894. Solve -c + 4*v + 12 = t*v, -2*c = -v + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6083\/8 or -6674?\nAnswer: 6083\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -23511, -35 in decreasing order.\nAnswer: 10, -35, -23511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*c + 12 - 29, 4*v - 23 = -c. Let h = 135 + -75. What is the greatest common divisor of v and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -212*f**3 - 5*f**2 - 10*f + 10. Let v(u) = 106*u**3 + 2*u**2 + 4*u - 6. Give 2*p(i) + 5*v(i).\nAnswer: 106*i**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-15 - -5 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -11. Suppose -10*m + 331 + 149 = a. Suppose 15*x - 7*x - m = 0. Let i(k) = 2*k - 8. Determine i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984252220 to the power of 1\/3, to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9857 in 3, -3, 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/161 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 7*i**4\/15 - 146*i**3\/5 + 3644*i. Determine o, given that u(o) = 0.\nAnswer: 0, 219\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(0 - (-6)\/(-4)). Solve -16 = -q - 4*j, f*q - 2 - 2 = -j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160\/448*2*(-4)\/(-10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooxoooooooooooooooo. What is prob of sequence oo?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -295, -867, -1875, -3439, -5679?\nAnswer: -8715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, -20, 12.\nAnswer: -20, -5, -4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 13046, -44, 0, -7 in decreasing order.\nAnswer: 13046, 0, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 20*j**2 - 35*j + 6. Let v be n(-18). Let x be 1*(-11 - -8) + v\/(-5). What is the third smallest value in -1\/60, x, -2\/3?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7062 - 7060. Let b(t) = 19*t - 5 + 4 - 6*t. Let c(x) = 3*x. Calculate o*b(n) - 9*c(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Does 17 divide (-344)\/(-10) - 2\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = -236*v - 463 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 605022 (base 7) to base 3\nAnswer: 12012201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + 12625\/(-300) + 30)*-1*8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1390 and 16996.6?\nAnswer: 18386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19 times 30379?\nAnswer: 36151.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.2, -0.4, -1\/82, 0 in descending order.\nAnswer: 0.2, 0, -1\/82, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 11617613?\nAnswer: -11617612.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064864 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least 15272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzc when four letters picked without replacement from cczzzcczzzcz.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -122, 4, -3, 12, -10 in decreasing order.\nAnswer: 12, 4, -1, -3, -10, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b = 2*b + 484. Suppose 0 = b*f - 2488 - 4992. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 31 - 12. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*w - 12*w + 53*w + 39*w**3 + 8*w**3 to the form y*w + c + o*w**3 + p*w**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**6\/120 - 13*n**5\/60 + 25*n**4\/12 + 23*n**3\/6 - 74*n**2. Is l(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18926 is divided by 8892.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1979108350?\nAnswer: 2, 5, 39582167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*8\/(-6)*51\/(-34). Sort m, 5, -9, 0 in ascending order.\nAnswer: -9, m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 3*c**5\/5 - 69*c**4\/2 - 144*c**3 - 219*c**2 - 147*c + 1707. Find i such that r(i) = 0.\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230953 is divided by 1169?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p + 0*p**2 + 6\/7*p**4 + 0 - 2\/7*p**5 + 108\/7*p**3.\nAnswer: -2*p**3*(p - 9)*(p + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 1249684 = -26409. Let g = l + 18401. Round g to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 174 + 129 = -36*c + 167, 4*q = -9*c + 46 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 318007 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (362\/(-33) - -11)\/((-70)\/24). Is 1 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (35\/(-35))\/((-3)\/73722).\nAnswer: 2, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67.9 and -55.8?\nAnswer: 3788.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 366?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elly when four letters picked without replacement from llylyeeleyzeyee?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16196 divided by 2\nAnswer: -8098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0 + 0)*(22 + 1 - 6)*(-2*x + 3*x - 3*x)*(-23 - 53 - 17).\nAnswer: -3162*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - j + 0*j - j + (-j - 2*j + j)*(22 - 2 - 3) in the form y*j + a and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-20)\/8)*24\/16\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4187\/2205 - -1\/882. Let l = 12\/5 - p. Solve 0 + 1\/2*u + l*u**2 = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -50, -153, -350, -671?\n\"Answer: -5*a**3 - 2*a**2 + 2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-180)\/(-16) - ((-20)\/16)\/(-5). Suppose f*t - 295 - 123 = 0. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148488 divided by -4?\nAnswer: -37122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 11*q - 54 = 13*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -523153 * 5\nAnswer: -2615765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-80)\/(-8))\/50*10. Let z(p) = -p**3 + 2*p**2 - 2*p - 3. Give z(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)\/(i**(-4)\/i))\/((i**(1\/2)\/i)\/(i**(-4)*i)) assuming i is positive.\nAnswer: i**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*v + 30 - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42211141 (base 5) to base 12\nAnswer: 14b010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**3\/2 + 2*r**2 + 8655*r. Let j(y) = 13*y + 17. Give -4*j(u) + 18*v(u).\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3)\/(-2)*26\/(-65)*(-330)\/352.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2509 = -4*f + 181. Which is smaller: f or -583?\nAnswer: -583","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3 - o**2 + 2*o**2 + 4*o + 0. Let z be u(-3). Suppose z = -5*d + 7 + 13. What is the lowest common multiple of 11 and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.87 times 2?\nAnswer: -31.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose -2\/5*x**3 + 0 + 2\/5*x - 2\/5*x**4 + 2\/5*x**f = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(243)*-6*-4)**2.\nAnswer: 20155392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 18*w**2 - 12*w + 32. Let d(m) = -343*m**2 + 231*m - 616. Let b(s) = 4*d(s) + 77*t(s). Let c(a) = 683*a**2. Give b(c(n)).\nAnswer: 6530846*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -937385940 - 0.03.\nAnswer: -937385940.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/1)\/(1\/5). Let w = 12 - s. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -252 * -142396.\nAnswer: 35883792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 4. Suppose 0*k - k - 3 = 0. Let m be u(k). Solve 2*p + m*p = -12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125808*a**2 + 76142*a wrt a.\nAnswer: -251616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - 3. Let m = 189.0964892 - 136.096479. Let n = q + m. What is n rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(63\/(-12))*21. Suppose 3*j + 5*o - o - 31 = 0, 4*j + 2*o - u = 0. Solve -6 = 4*w - 5*i, -j*w + 2*w - 4*i = 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -5. Let m = -11 - -30. Let u = m + -19.2. What is the closest to -2\/3 in u, 3\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296506 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 w(u) = -32*u**2 - 7. Let h(n) = -7*n**2. Calculate w(h(x)).\nAnswer: -1568*x**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5816 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366.4 - 295. Round c to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 5:25 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (616\/(-28))\/(2 + -24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 137*u + 136.\nAnswer: (u - 136)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5799082, -5799081, -5799080, -5799079, -5799078?\n\"Answer: o - 5799083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 2*b + 15. Is x(5) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**3 + 6*d**3 + 38*d**3 + 70*d**3.\nAnswer: 137*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 + 125. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/74?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/15 and -17\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -504 + 503.9. Let z = 2.4 + -2.51. Let w = z - -0.01. Is m at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*-1*sqrt(102)*2)\/(sqrt(18)\/((sqrt(48)\/sqrt(4))\/sqrt(4))).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 8, -5*t + 84 = q - 57. Let v = t - 28. Let r = -2.9 - -3. What is the second smallest value in 0, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00738 to four decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/9 + 2\/(-6). Solve 0 = -4*i + 4*m - 20, d*i + 10*m + 2 = 5*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44753, -179007, -402765, -716033, -1118817?\nAnswer: -1611123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 470052899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -111414.\nAnswer: 111414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -141*m + 424. Determine r(12).\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -363, 57, -2, -5.\nAnswer: -363, -45, -5, -2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -45. Sort -1, 2\/5, -5, p in decreasing order.\nAnswer: 2\/5, -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -20.8. Let d = -4 + v. Sort d, 0.5, -6.\nAnswer: -6, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33976329 and 1389.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 30 = 3*l, -5*i = -l + 2*l + 20. Let d be (-1844)\/(-7) + i\/7. Suppose 3*m - d = -2*f, -m = 3*m + f - 359. List the prime factors of m.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 2*k - 2. Let m be j(2). Suppose 4*q + q - m = 0. Suppose 236 = 3*s - q*v - 276, 870 = 5*s + 5*v. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.306 - 3.305973021. What is w rounded to 7 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 q when three letters picked without replacement from qhchqzqqihh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9924297 less than -4905.838?\nAnswer: 9919391.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -a + 60. Does 9 divide -1*29*13\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**8\/2184 + 53*j**7\/455 + 1117*j**6\/130 + 15049*j**5\/195 + 5467*j**4\/52 - 17787*j**3\/13 + j**2 - 1021*j. Solve f(a) = 0.\nAnswer: -77, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.036 - -16.7147. Let t = -0.67 + p. Round t to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4532902 and 4532902 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 0*y + y - y. Let d(t) = -44*t**2 - 22*t**2 + 121*t**2 - 41*t**2. Give d(p(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816 = 8*x - 12*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07 and 258.\nAnswer: 258.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651 divided by -8902.\nAnswer: -651\/8902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 12*i - 55 = -18*i, -30*i = -20*i - 50 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 15*d - 486. What is the greatest common factor of d and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -854717*s - 5040067.\nAnswer: -854717","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 16 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r + 5. Let q(l) = -11*l + 8. Let s = 6 + 13. Let x = 4 - -10. Let m = s - x. Give m*q(f) - 8*z(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 15*w + 3 = 18*w, -2*g + 2*w = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/3 - (4 + -2 + -1). Solve -k = -t - t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 2*n - 3*n + 4*n - 27*n**2.\nAnswer: -27*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3)*(6 - 6 - 2*f**3).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 183, 497, 971, 1605?\n\"Answer: 80*h**2 - 86*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 148*o - 4. Let j(a) = a**2 - 1. Determine f(s) - 4*j(s).\nAnswer: -s**2 - 148*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -3*s + 6*s + 3*q, 0 = -3*s - 2*q + 68. Suppose 6*d = d + s. Solve 2*v - d = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 48, 2, 10, 4, -1 in decreasing order.\nAnswer: 48, 29, 10, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2635 is divided by 586.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:10 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 7907*l**2 + 8343*l**2.\nAnswer: 16250*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 12*z - 5. Let p be r(12). Let n(c) = c + 7. Let u be n(-7). Suppose -15 = 5*j - u. Does p = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 981802019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-1056)*-20*(-13)\/((-234)\/27)?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - h = 46, -3*z - 2*h + 26 = 67. Let u be 12\/(-20) + (-64)\/10. Let y = u - -5. Sort y, z, 3 in increasing order.\nAnswer: z, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1. Let x(j) = 39*j + 4. What is 6*h(v) + x(v)?\nAnswer: 39*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15138610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -0.5, -1, 0, 132?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040622099 rounded to 7 decimal places?\nAnswer: -0.0000406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -877\/16, -4, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62180?\nAnswer: 2, 5, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -3, -8\/93, 1.4 in increasing order.\nAnswer: -3, -8\/93, 0.02, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-9)*(-3)\/(-1). Let h = 1.13 - -0.07. Let y = 1 - h. Sort -0.3, y, x in descending order.\nAnswer: y, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 4)*(-32)\/(-72)*9. Let i(f) = 4*f**2 - 10*f + 20. List the prime factors of i(l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -124077 or -9057603\/73?\nAnswer: -9057603\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -123*z + 42289. Let u(m) = 16*m - 5286. Give -46*u(r) - 6*v(r).\nAnswer: 2*r - 10578","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97344548 a multiple of 3522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + 3*x**2 - 2*x + 4*x + (0*x + x**2 + 0*x)*(-1 + 0 - 1).\nAnswer: x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4956863 is divided by 11114.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 473 + 297 + 382. Calculate the greatest common divisor of n and 3488.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11284223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 4950.1?\nAnswer: -4945.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 11 - (8 - 2)) + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -104 + 193 + 75 + -79?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20455795771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048801 - 0.06.\nAnswer: -0.011199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l - l**2 - 5*l - 5 + 0*l. Let d be v(-8). Which is bigger: -6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - t**3 + (-2*t + 2*t + t**2)*(-t + 2*t + t))*(95*t + 49*t + 113*t).\nAnswer: 257*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1495 + -1494.6. Sort -20, -13\/6, a in ascending order.\nAnswer: -20, -13\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**3 + 4*v**2 - 6*v + 4. Let u(l) = -5*l + 5*l**2 - 10 + 4*l**3 + 15 - 4*l + 2*l. What is 5*p(w) - 4*u(w)?\nAnswer: -w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 354742 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 prob of sequence ie when two letters picked without replacement from qieer.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.6881 + -0.0719. Let f = p - -4.46. Round f to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 + 3 = 0. Let y = n + -2. Let s = -7 - y. Sort 0, -0.5, s in increasing order.\nAnswer: s, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + 4 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**4 + 1310*q**3 - 1315*q**2 = 0.\nAnswer: -263, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/60*-5*-8. Suppose 5*s + 84 = -16. Let i = s + 20. Sort u, -3, i in descending order.\nAnswer: i, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820993 is divided by 113.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5555 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.122 + 0.022. What is the biggest value in x, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 90, 137, 184?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/2 - 1) + 3. Suppose -f*k - 142 = -4*o - 3*k, 0 = -o - 4*k + 43. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428777 is divided by 4370.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + 7*c + 3. Let n(o) = 6*o**3 - 8*o - 4. Let b(s) = 4*n(s) + 5*r(s). Let k(h) be the first derivative of b(h). Differentiate k(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/16 + 71\/(-142)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(1 + 0)*-4. Let v(w) = f*w - 5*w + 4*w. Let b(a) be the second derivative of -a**4\/12 - a. Determine v(b(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose -o*n = 3*w - n + 10, -4*w + 5*n - 21 = 0. Let p(y) be the second derivative of -y**4\/12 - 5*y**3\/6 - 3*y**2 + y. What is p(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(180) + 4 + 5 + -3 + 5*sqrt(180) + -4.\nAnswer: 7 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/9 (c) -1 (d) -4.6 (e) -2\/23 (f) 5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*t**2 + t**3 + 287*t**2 - 138*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 b when four letters picked without replacement from {o: 3, l: 2, b: 1, s: 2, z: 3, i: 3}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/77602736 and -97\/719056.\nAnswer: 1008835568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 1 + 3 + 54868*s**2 - 4.\nAnswer: 54868*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 165 = -129. Let v = z + -41. Solve -v = -a + 3*a, -u - a - 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 4*r + 2*r)*(-3*r + r - 1 + 0*r) - 20 + 13*r**2 + 22 - 41*r**2 as p*r + i*r**2 + q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(72)\/(sqrt(24)\/sqrt(2)))\/(-3*sqrt(6)\/sqrt(2) + sqrt(3)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 25. Let u = -4 + d. Let l be (u + -1)*42\/4. Calculate the highest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 1:14 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 4*d - 4. Is x(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -65. Let i = 59 - c. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.263 - -0.063. Let j = -1.2 + r. Round j to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-36))\/((-36)\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -654*v + 582*v + 2541*v - 11340*v - 8421*v.\nAnswer: -17292*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.37 + 3.4. Sort t, 0.2, -0.4, 4 in ascending order.\nAnswer: -0.4, t, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2016885 rounded to the nearest 1000?\nAnswer: -2017000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by 12.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513, -522, -535, -552?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 7*a**3\/6 + 11*a**2\/2 - 5*a. Is r(8) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 3}. Give prob of sequence ssn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t + 1. Let y be (-2 - 1 - -1)*-2. Let f(i) = 2*i**2 - 4*i + 4. Let z(c) = y*l(c) - f(c). Let m(g) = -g. Determine z(m(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**3 + 5*t**2\/2 - 3*t. Let c(x) = -5*x - 4. Let i(m) = -5*c(m) - 4*u(m). Let n(w) = 4*w**2. What is i(n(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(38)\/sqrt(2) - sqrt(19))*-1 - sqrt(38)\/(sqrt(14)\/(-2*sqrt(7))) - ((5*sqrt(152)*-1)\/((sqrt(288) - sqrt(288)*3) + sqrt(288) - sqrt(288)))**2.\nAnswer: -187\/144 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1283*y**3 - 54*y**3 - 207*y**3.\nAnswer: 1022*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -3004?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/8 (b) 9\/13 (c) 329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)\/(w\/((w\/(w**(-3\/2)*w))\/w)))\/(w*w**(-1\/2)*(w*w\/w**(-1)*w*w)\/w))\/((w*w**(-1\/3))**(13\/4))**(-4\/19) assuming w is positive.\nAnswer: w**(-1093\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2029*h**2 - 49*h + 48. Let t be a(1). What is the highest common factor of 48 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2248 + 2251 + 2252 - 6751 + 14378*q)*(-1 - 1 + 1).\nAnswer: -14378*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187 - 147. Let i be (37\/148)\/((-2)\/r*-1). Solve -i*z - 26 = -1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/4 + 31441*v\/4 - 15721\/2 = 0 for v.\nAnswer: -31442, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 198883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 653064477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 1 - s + 5)*(-4*s**2 - 10*s**2 - 3*s**2)*(1 - 1 - 1).\nAnswer: -17*s**3 - 255*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95699nm in meters?\nAnswer: 0.00000000195699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = -249*s + 397*s - 226*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7473 + -7474. Sort s, 359, -2, 5, 1 in decreasing order.\nAnswer: 359, 5, 1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99190*-648.\nAnswer: 64275120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12*3\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-27 + (-11 - -11 - 3) - 11).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(1300))*1)**2 + 1.\nAnswer: 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o**4 + 10107*o**3 - 4238583*o**2 - 14933736*o - 10685040 = 0. What is o?\nAnswer: -5\/2, -1, 844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-144)\/(-2))\/2*2. Suppose 54 = g + 43. Let b = g - i. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.204418 nanometers in millimeters?\nAnswer: 0.000009204418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*v = -208*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265 - -60. Let u = 332 - g. Calculate the highest common divisor of 77 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(-2*-1*sqrt(8)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.041 + -0.041. Which is the nearest to -1? (a) -7 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(4\/9)\/d*d)\/d**(-1))**(-29))**(-2\/25) assuming d is positive.\nAnswer: d**(754\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 139 - 326. Suppose k + y = 6*k. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 3, 38, -5, -12 in ascending order.\nAnswer: -12, -11, -5, 3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2380*i**3 + 4*i - 7036*i**3 + 29018*i**3.\nAnswer: 24362*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -72*u + 2041. Calculate k(27).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 450228, 3 in ascending order.\nAnswer: -8, 3, 450228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(10\/7))\/n**(7\/5) assuming n is positive.\nAnswer: n**(36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3911 = -67*m + 293. Let o be (-6 + 106)*(-8)\/(-10). Let c = o + m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/141, -8, 2\/7, 0, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 57, 50, 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3 - 0.3. Let m be 10 - (2 + (3 - 6)). Let z = m + -13. Which is the nearest to 2? (a) z (b) -0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20705 is divided by 2368.\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 3:17 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**4*v**3 - 16*a**4*v**2 + 7*a*v**3 - 62*a*v**2 wrt a.\nAnswer: -72*a**2*v**3 - 192*a**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -3.5 (c) -5 (d) -1\/6 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 247800740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 108*y**2 - 77*y + 157*y - 23*y**2 - 80*y.\nAnswer: -129*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4916, -20566, -46650, -83168, -130120?\nAnswer: -187506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-3)\/(-9)*(0 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6539523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p + 68. Let h(t) = 6*t**2. Let d be h(-1). Let f be (p\/(-1))\/(2\/d). Round f to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 1048302?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 2:26 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15302 + 303?\nAnswer: -14777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -3, -66.\nAnswer: -66, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 747 and 1168626969.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10435.59 - 10436. Which is bigger: -5.6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 5. Let p be g(-22). Let x = 25 + p. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -625 + 616. Let y(i) = -i**2 - 9*i + 9. Give y(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 10:00 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 8\/11, -1\/25765 in increasing order.\nAnswer: -1\/25765, 8\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337560 divided by -84390.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 83, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -139? (a) 1\/7 (b) -2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 57 = 69. Let m(p) = -p - 9. What is m(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -49 and 14076017166.4?\nAnswer: 14076017215.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*s + 91*s = -88*s - 13*x - 105, -3*s - 14 = -2*x for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 14)*(540*c**4 - 540*c**4 - 11*c**5) + (-c**2 - 2*c**2 + 2*c**2)*(6*c**3 - 3*c**3 - 2*c**3).\nAnswer: -133*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713525977.\nAnswer: 31, 1039, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 + 44 = -21*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 5146.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {m: 3, s: 5, p: 3, d: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -12963, 44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459929779.\nAnswer: 16193, 28403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 134847882 to the power of 1\/2, to the nearest integer?\nAnswer: 11612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.22 rounded to 0 dps?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4431)\/(-63) + -52 - 17.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 279*y**3 - 9093 - 2*y**2 - 322*y**3 + 9067 to z*y**3 + x*y**2 + d*y + f and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2141 + 2281. Solve y = 3*t + 122 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d**(1\/2)\/d*d)\/(d\/(d\/(d**(-1)*d))*d\/(d*d**6)))\/((d*d\/d**(-1\/12)*d*d\/(d\/((d*d*d\/(d*d**3)*d*d*d)\/d)))\/(d**(-1)\/d**6)) assuming d is positive.\nAnswer: d**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 73 (b) 2\/17 (c) 0.06 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 133 = w, 5*w = -4*u + 26 - 643. Which is greater: w or -1329\/11?\nAnswer: -1329\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -8*d - 66. Let y be (-108)\/(-195) + d\/39. Which is the nearest to 2\/5? (a) 2\/7 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trntnnrrqr. What is prob of picking 1 t and 3 r?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3723317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -41*l + 167. Let d be a(4). Let g be 24\/(-9)*(5 - 145\/20). Calculate the greatest common factor of d and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -11. Let f(l) = -7*l - 13. Let y be f(-10). Let t = y + -54. Solve n*r = -t - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 656\/(-96))*14\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2124275*g**2. Let o(z) = z. Calculate o(h(r)).\nAnswer: 2124275*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2905315 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26564 + -11544. Round i to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 3, -4, 0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 305768478 = v - 84731522, 3*k - 2*v = 234300000. What is k rounded to the nearest one million?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*360\/45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 40.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (21 + -22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 1. Let l(d) = -10*d - 5. What is l(v) - 6*x(v)?\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 6*z - 5 - 5*z + 4.\nAnswer: 8*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77231 divided by -253.\nAnswer: -7021\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -8, -3, 2?\n\"Answer: 5*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**4 - 3855*o**3 - 74995*o**2 + 78855*o = 0.\nAnswer: -751, -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79 - 504a?\nAnswer: -4b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 8 = m, 0 = -5*u + 22 + 3. Differentiate -m - 18 + 32*j**4 + 33*j**4 - 22*j**4 with respect to j.\nAnswer: 172*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y - 2. Let h(v) = -26*v + 5. Let j(g) = -17*a(g) - 6*h(g). Let c(s) = -4*s - 1 - 6 - s. Determine 4*c(z) + 7*j(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 + 3*a**2 - 3*a. Let x be 0\/(-3) + (3 - 1). Is d(x) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*d**4 + d**3*m**2 + 1431*d**2*m**2 wrt d?\nAnswer: 3072*d + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 281*f**3 - 272*f**3 + 7*f**2 - 3*f**2.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 50*d**2 - 102*d - 284. Determine r(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 2*u**2 + 2*u - 1. Let x be d(1). Suppose 0 = -a + 5 + 3. Let v = a + x. Calculate the smallest common multiple of 1 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(5\/6)*(j*j\/(j\/(j\/(j**(-10)\/j))))\/j*j assuming j is positive.\nAnswer: j**(79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4867, 10548, 16217, 21868, 27495, 33092, 38653?\n\"Answer: -m**3 + 5688*m - 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 5*x - 7. Let c be b(-5). Let n = 18 + c. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1720 and 293260?\nAnswer: 586520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 364*(-8)\/128)\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**2. Let l(g) = g**2 + 11*g - 24. Let q be l(-13). Let u(v) = 35*v**2 - 87*v**q + 51*v**2. Determine u(a(n)).\nAnswer: -121*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-10))\/(1\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -26*l - 36. Let a be u(-3). Suppose -a = 5*p - 12*p. Suppose -n = -4*q - 14, -5*q = n - p*n + 25. What is the smallest common multiple of n and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 + -2 - 5 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 970 and 440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(3300\/429)*16\/(-36).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) + -1*1*sqrt(153)))\/(sqrt(729)*-2 - sqrt(729)).\nAnswer: -sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*h**3 + 443*h**3 - 114*h**3 - 113*h**3 - 112*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 17*m**2. Let s(j) = 165337*j. Give s(a(y)).\nAnswer: 2810729*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 91836 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let v(x) = -1. Let f(w) = -4*w + 3. Let g(y) = 2*f(y) + 6*v(y). Calculate o(g(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -320 (b) -373\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-40)*(-1)\/5. Solve s = 25*c - 27 - 23 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.129981 - 0.13. What is a rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04499384 - 0.045. What is w rounded to seven dps?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 61.51, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2321 divide 84825587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*c - 8*a = 248*c + 59, -3*c + 0*c - 31 = 4*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*d + 407208 + 1184859. List the prime factors of d.\nAnswer: 3, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.29, 18, 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 17307?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - n + 3 - 7)*(0*n - 32 + n + 24) in the form u*n + b*n**2 + o and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*n**3*v**4 + n**3*v - 96*n**3 wrt v.\nAnswer: -164*n**3*v**3 + n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1773, -7147, -16097, -28617, -44701, -64343, -87537?\nAnswer: -114277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*f**3 - 5424028*f - 39506531?\nAnswer: 12*f**2 - 5424028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/(-140))\/(40\/112).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = q - 2*q, 5*q - 18 = -h. Let v = 2 - 5. Sort h, -4, v.\nAnswer: -4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.03193*249.\nAnswer: -256.95057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1836443010 to the nearest 1000000.\nAnswer: 1836000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16132 and 12744280.\nAnswer: 12744280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-99 - -96) + -4 - (-2 + (-29 - 2)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + 1692\/351 + -4. Which is the third biggest value? (a) 3 (b) o (c) 6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 265572 + -5?\nAnswer: 26556c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1872*q = -1594*q + 4448 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8119\/10 + -1623\/2. Let o = -2 + 4. Let w = 2.2 - o. What is the smallest value in a, -0.05, w, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/7 - -9\/35. Suppose 12 = 11*c - 15*c. Calculate the common denominator of n and 3297\/117 + c - (-8)\/52.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/6456 and -47\/28.\nAnswer: 45192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 150, -5, 2 in decreasing order.\nAnswer: 150, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13691*i**2 - 11121*i**2 - 8832*i**2 + 7866*i**2.\nAnswer: -25778*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*f - 2 + (0 + 0 - 3*f)*(0 + 0 - 1) + (-f + 2*f + 3*f)*(-2 + 3 - 3) in the form r + u*f and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 16*s**3 + s**2 + s + 1. Determine o(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 27 - 342*p - 13 to m*p + k and give m.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38696 (base 13) in base 6?\nAnswer: 2123152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 8 = -0*m. Let u be (m\/(-6))\/(8\/(-6)). Let h = -2\/525 + 533\/2100. Which is the nearest to u? (a) h (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 941.7 and 0.02.\nAnswer: 18.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 5*g - 7, -5 = -v - 601*g + 1190*g - 592*g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/((-7)\/700). Suppose 30*t - 29700 = -3*t. Calculate the greatest common factor of t and k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61808, 123685, 185562, 247439, 309316?\nAnswer: 371193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7321040 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 12) in base 7?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 11*f - 51. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7638 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 21*q. Calculate s(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.965 and 0.6?\nAnswer: 1.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 37. Suppose 78 = 3*a - 12. What is the greatest common divisor of v and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 23*a**2 + 345*a + 5. Let u(x) = x**3 - 12*x**2 + 172*x + 2. Let s(c) = 2*k(c) - 5*u(c). What is the second derivative of s(z) wrt z?\nAnswer: -18*z + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + f - 5, -3*h - 4*f = 2*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.16 times -304\nAnswer: -352.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007718233 rounded to seven decimal places?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21765325 by 5.\nAnswer: -4353065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16297?\nAnswer: 43, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 9. Let v be k(-4). What is the first derivative of v - n**2 + 18*n - 18*n wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*i + 10, g - i - 15 = 4*g. Let z(d) be the first derivative of d**4\/4 - 2*d**3 - d**2 + 8*d + 1. Let y be z(6). Is g bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 1\/75 (c) -98 (d) 21\/88 (e) 0 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -1\/7 (c) 3\/22 (d) -5 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42044 + 133?\nAnswer: -41611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 9:23 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3 - 1 + 13)*(-11 + 4 + 2*n + 10).\nAnswer: 2*n**2 + 33*n + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90686960 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*t - 810160 = -11*t - 11*t. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 8*z**2 - 3*z + 5. Determine d(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 411, 569, 821, 1161, 1583, 2081?\n\"Answer: -s**3 + 53*s**2 + 6*s + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**2 - 67*l**3 + 201*l**3 - 74*l**3 + 24*l**2 - l**2 - 62*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35388 - 305?\nAnswer: 35083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3\/4, 32, 3\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.2563ml to litres.\nAnswer: 0.1052563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-5))\/((-2)\/(-10)). Let a be b\/((1 + -3 - -4)\/47). List the prime factors of (0 + a\/2)*(-5 + 3).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154439 is divided by 154439.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 2, f: 2, r: 1, p: 1, g: 1}. What is prob of picking 1 g and 1 s?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -223*k**2 - 2 - 223*k**2 + 660*k**2 - 221*k**2 in the form g*k**2 + a + r*k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 13*n**2 + 14*n + 13. List the prime factors of z(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 364 - 292. Suppose -10 = -2*z + 8. Calculate the highest common divisor of t and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - 2*x**2 - 2*x + 2. Let n be g(2). Suppose 3*a = -2 + n. Let r = -0.67 - -0.17. What is the closest to 1 in a, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 18*z**2 + z. Let u be t(1). Suppose 3*s + 9 = -j - 2*j, 3*j = -5*s - u. Find f such that -147\/5*f**j - 12\/5 - 84\/5*f = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2619983, 2620025, 2620067, 2620109, 2620151, 2620193?\nAnswer: 2620235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10581 equal to 10493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*d**3*s**2 - d**3 - 64*d**2*s**4 + 8929*d**2*s wrt s?\nAnswer: 90*d**3 - 768*d**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*o = 838 + 2046 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139257 is divided by 6946.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 229 = -74. Let i(s) = -15*s + 59. Let m be i(-2). Let k = m - q. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 100396 and -0.1266?\nAnswer: -12710.1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26\/127 in -0.03, 1, -0.4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -392200941 and 0.247.\nAnswer: -392200940.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*j + 2)*(j**3 - 5 + 5) - 2504*j**4 + 44207 - 44207.\nAnswer: -2507*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 10*r**2 - 13*r - 4. Suppose 27 = -5*n + 617. Let q = n - 65. Calculate the remainder when q is divided by y(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 16 = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-168)\/(-378))\/(14\/9). Let z = 1115 + -1114. What is the closest to q in z, -9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7 = -48. Suppose 15 = 3*n, -2*w + 4*w + 4*n + 2 = 0. Let x = w - i. Solve x = -h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 30 = x. Let d = -26 - x. Let b(f) = -7*f**3 + f**2 - 3. What are the prime factors of b(d)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/114464284 and 13\/57684.\nAnswer: 343392852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 7 - (-20)\/(-10)) + 40\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*b + 5*x + 4, b - 3*x + 13 = 0. Let t(r) = -10 - 4*r**b + 28 - 18 + 5*r**2. Let q(o) = 11*o**2 + 5*o. What is t(q(w))?\nAnswer: 121*w**4 + 110*w**3 + 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or 8409?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 g when four letters picked without replacement from eegggeeetgt.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4376 (base 8) in base 2?\nAnswer: 100011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwdo when four letters picked without replacement from doorwrdoibrb?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5158585 and -3?\nAnswer: -15475755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - 6*o**3 - 5*o**3 - o + o + o**3 + (0*o + 0*o + 2*o)*(3*o**2 - 3*o**2 - 2*o**2))*(4*o**2 - 13*o**2 + 11*o**2).\nAnswer: -34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 10*f - 125. Let d = 5325\/361 - 1\/1444. What is the common denominator of f and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 589 - -1041. Let g = 2321 - k. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g + 253. Let j be d(0). What is the highest common factor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:32 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 3:05 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 238 = 16*y. Is (13325 + y + 13)*2\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773 = 36*l + 48*l - 823 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16604 - 2?\nAnswer: -16606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.001.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6288 (b) -5 (c) 0.4 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssisiisss. What is prob of picking 4 s?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9686.81 - 1821.71. Round o to the nearest 10.\nAnswer: 7870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49226 + -25?\nAnswer: 49201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -200\/3. What is the second biggest value in 15, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000010002220 (base 3) in base 6?\nAnswer: -404043210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130046232 + 1?\nAnswer: -130046231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59942 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10238.\nAnswer: 2, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113\/113 - (-166)\/(-350) - (-36)\/(-126)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 919\/60 - 91\/6. Let g = 7\/20 + o. Which is the fourth biggest value? (a) -2 (b) 5 (c) 2\/9 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s + 18 - 1 - 13 - 24. What is q(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 32*u**2 + u + 1. Let g be 6\/(-30) + 31\/5. Let w be (-1)\/(-2)*(-8 + g). List the prime factors of l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4 - 3 + 146*i + 6. Let d = 3 - 2. Is r(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2965? (a) 0.4 (b) -915 (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 1128.\nAnswer: 9024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7600 divided by -100\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/180)\/(19\/171)*-4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*j + 14 + 4)*(-4*j + 4*j + j).\nAnswer: -2*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 528, 1067, 1612, 2169, 2744, 3343?\n\"Answer: r**3 - 3*r**2 + 541*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-6)\/9 + (-187)\/(-33). Solve -5*m + 2*b = -1, -h*b = -2*m - 8*b - 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -162*r - 5707. Calculate j(-35).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 12*b + 180. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 20. Put 2, 2\/3, d in decreasing order.\nAnswer: 2, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140222 + -2?\nAnswer: -140224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 9. Let i = -0.03 - 2.97. Let w = 4 + i. Which is the nearest to w? (a) 1 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2754*o - 7185*o + 79758 = 0 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -224302 (base 5) in base 13?\nAnswer: -38a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:29 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 1. Let u(m) = -m + 14. Let s be u(10). Suppose 8*t = 12*t - s. Give p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-11 + 7 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let b be (2 + -153)\/(-1) - (2 + -3). Suppose i = -2*z + 101, 0 = 4*z - z + 2*i - b. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 + 233. Suppose 20 = d - 5*t, -d + 4*t + 0 + o = 0. Solve 0 = -u - m - 6, d*m - 8 = 4*u - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 30*x + 6. Let l(y) = 37*y. Let i(k) = 38*k - 1. Let s(g) = -5*i(g) + 6*l(g). Let z(p) = -4*d(p) + 5*s(p). Let r(q) = q. Give r(z(t)).\nAnswer: 40*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4 - 57064*k**3 - 303589012*k**2 - 713801136048*k - 625878508494096 = 0 for k.\nAnswer: -4026, -3107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*u - 28 = 0, -3*q + 17 + 25 = -5*u. Let s(b) be the second derivative of -b**4\/12 + 7*b**3\/3 + 3*b**2 + 316*b. Give s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r + 3*t = -9, 0 = 4*t + 20. Is -7 + 126 - (r + 2\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d = 0. Suppose d = -2*g - 5*u + 29, -g + 3 = 3*g - u. Suppose q + 13 = g*q. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2469 - -3609. What are the prime factors of y?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49335 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(816))\/(sqrt(18)\/(sqrt(24) + sqrt(6))))**2*4.\nAnswer: 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31320 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 2*(-12)\/(-8). Suppose a = j*a - 48. Let b = a - -22. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 + 3. Let g be q(5). Suppose g = -2*d + 13. What is the highest common divisor of d and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:56 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 2, r: 1, y: 1, t: 1, x: 2}. Give prob of picking 1 t and 1 e.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.514631 to two dps.\nAnswer: 155.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-27))\/(11\/((-198)\/(-4)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 9:03 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1752976*j**2\/5 + 5296*j\/5 - 4\/5.\nAnswer: -4*(662*j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*b = 2*b + 20, -5*b = 10. Sort -3, n, -1, -2 in decreasing order.\nAnswer: n, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**4 - 9*w**3 + 90*w**2 + 384*w + 288 = 0?\nAnswer: -4, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (13 - 1) + (0 - 0). Calculate the greatest common divisor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, 219, 578, 917, 1230, 1511, 1754, 1953?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10504837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (50\/3)\/(2\/6). What is the units digit of (80\/y)\/(2*(-1)\/(-80))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:06 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 125, 181, 247, 329, 433, 565, 731, 937?\n\"Answer: u**3 - u**2 + 52*u + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 143779 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, 1572, 1 in increasing order.\nAnswer: -5, -1, 1, 3, 1572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - (-18)\/8. Suppose 4*v - 2 = k*a, -a + 16 = -4*v - 5*a. Let n = v - -4. Solve 7 = n*p + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13847*u - 13831*u - 28208. Is 1764 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:15 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 4142322?\nAnswer: -4142234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**4 - 63*p**3 + 4*p**2?\nAnswer: -72*p - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) -39 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 2*p**2 + p + 3*p)*(-2*p**2 + 2*p**2 + 2*p**2).\nAnswer: 4*p**4 + 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 612117 by -17.\nAnswer: -612117\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 72 = -4*y, -214046*t + 3*y - 108 = -214049*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*k**3 + 351*k**3 + 225*k**2 - 563*k**3.\nAnswer: 142*k**3 + 225*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -455*a - 727. Does 4 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49707 >= 50181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13143 + -11?\nAnswer: 13132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6581 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjysjysgjjjyjj. Give prob of picking 1 s and 2 y.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/8 - -1 - (-60)\/80. Let t(f) = -3*f + 142. List the prime factors of t(n).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59\/4 - 119\/8. Let q = -330 - -334. Which is the second biggest value? (a) -2 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 347698585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243562 + d + 243571 + 243519 - 974222 + 243570.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -680 - -685. Suppose -2*y + 3 - 17 = 5*j, -y + 3*j = -15. Suppose y*c = p + 42, 2*p - 5*p - 66 = -i*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013482 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4806 divided by -9\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from wpppqpnncwpqwnpwkwkp?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + 405. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.9 + -0.1. Let a = -17 - v. Let z = 11 - 6. What is the second smallest value in z, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggi when three letters picked without replacement from {i: 3, g: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/2 - (-1)\/(-2). Let i = b + 0. Let r be (-4)\/i - (1 - 1). Put -5, r, -1 in increasing order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12792 and 1296?\nAnswer: 690768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/95 in -0.1, 8, 0, -3\/8, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v = -63*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11122101101210 (base 3) in base 9?\nAnswer: -4571353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**3 + f**2 + f. Let d be b(-1). Let o = 0 - 7. Let r = o - d. What is the smallest common multiple of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d*d**1)\/(d**(-16\/5))**41 assuming d is positive.\nAnswer: d**(646\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 11:39 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**2 + 5*p**2 + 30*p + 4*p**2 + p**2 - 20 + p**2. What is the hundreds digit of r(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*13\/(-6)*19452\/(-6484)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -2\/3, -2\/9, 1\/3, -2, -152.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -58)*4\/120*10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**2\/2 + 10*n + 3. Let p(i) = -i - 4. Let r be p(3). Let m be c(r). Solve 4 = -g - m*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 at most as big as 183620\/3209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(153)\/sqrt(9))**2 + 3 - (((sqrt(272) - (-3 + sqrt(272) + 0)) + sqrt(272))*-1)**2.\nAnswer: -263 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -4 (c) -2 (d) -68 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25607 = 3*m, 43*x = 5*m + 42*x - 42613. Calculate the greatest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2652*w**3 - 5*w**2 + 15*w - 14. Let c be f(-7). Round c to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 694 = a, -2006 = -5*a - v + 1416. Is a bigger than 685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 9. Let q be m(15). Suppose -l = y + 3*y + q, 3*l - 26 = -y. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(1\/79))**(-3\/10)\/(((m**(-4\/3)*m)\/((m**(-1)*m*m*m)\/m))\/(m*(m*m**(-1))\/m)**(-5\/6)) assuming m is positive.\nAnswer: m**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) -2\/5 (c) 1\/4 (d) -4 (e) -145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 - d**3 + d**4 + 0*d + d**2 + d in the form m*d**3 + q*d**4 + y*d**2 + h + l*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073866533 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 12*p - 10. Let v be x(-10). Suppose v*s - 45 = 9*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 111 - 103 = 0. Sort -2, 0.03, d.\nAnswer: -2, 0.03, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(1*12\/3552). Let d(o) = o**3 + 4*o**2 + 4*o + 7. Let t be d(5). Let a = q + t. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 14 - -6 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8)\/((-2)\/(4\/3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190816 (base 12) to base 15.\nAnswer: 89586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 - 8121305*f + 16242630 = 0 for f.\nAnswer: -1624263, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22905332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-52 - -2 - (0 - 29)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19*a**2 - 102*a - 1. Calculate p(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88375 is divided by 1451?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -2, -2\/5, -255\/2146 in increasing order.\nAnswer: -2, -2\/5, -255\/2146, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w**3 + 39*w**3 + 33*w**3 + 3*w**3.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 112763?\nAnswer: 112765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 7219 + 3611 + 3608.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -306*a**2 - 10745*a + 10745*a as d*a + s*a**2 + q and give s.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*k + 2, 2*k + 4 = 3*p - 3. Suppose -2*y + 9 = -3*a - 653, -2*a - p*y = 473. Is 0 - 1\/(4\/a) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i + 17. Let c(w) = 11*w + 32. Let q(m) = 2*c(m) - 5*f(m). Let u be q(-6). What is the greatest common factor of 117 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {g: 2, l: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 3*j**2 - j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.78 and -1.766?\nAnswer: -1.37748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 + 40*z**2 - 364*z + 32. List the prime factors of f(11).\nAnswer: 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 o, and 1 y when four letters picked without replacement from yyoytkctktckyt?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m**3 + 4*m**2 + 8*m + 4. Let p(d) = d**3 + d**2 + d + 1. Let z(q) = -12*p(q) + 3*s(q). Find the second derivative of z(g) wrt g.\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*q**2 + 32*q**2 + q + 37*q**2 to w + u*q**2 + n*q and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -712 - 22799*h - 700 + 2107 - 695 as k + t*h and give t.\nAnswer: -22799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.184 + 9.845. What is q rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 9:22 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 + -592\/5. What is the closest to 1 in 7, 5\/4, -4, w?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89836, 89831, 89824, 89815, 89804, 89791?\nAnswer: 89776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551*f - 4 = -555*f. Which is the fourth biggest value? (a) -11 (b) f (c) 2\/5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280))**2 + 1 + sqrt(40)\/sqrt(2)*-6.\nAnswer: -12*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 14390 = -3*a + x, 0 = 2*a - 4*x + 9592. Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -13086.\nAnswer: 13077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.93 (c) 2\/5 (d) -5 (e) -153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/16)\/(18\/(-432)). Solve -12 = s*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -4*49\/(-28). Let k = -124603\/21758 + -1\/1978. Which is greater: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 504195*z.\nAnswer: z*(z - 504195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -211511 (base 7) to base 14\nAnswer: -d4b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1167774 and 22?\nAnswer: 12845514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152811818 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o - 8. Let k be c(-4). Suppose -2*i - 7 = 3*w + 3*i, 3*i = 2*w - k. Let v be w\/(-4) - (-170)\/8. Solve -3*j = g + 14, 2*j + 3*j + v = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112655.\nAnswer: 3, 5, 74177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 7*v - 12. Let a be w(-14). Let h = -39 - a. Suppose -3*d - c = -41, 5*d - 5*c + 8*c = h. What is the highest common factor of d and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 19) + 2 + 13 + -27 + 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5090)\/(-1800) - 3 - (-44)\/198?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 14. Let y be (b*1)\/(11 - 10). Let v be (5 - y) + (1 - 1). Solve -v*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2925678 at least as big as -2925679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-98))\/3*8\/6\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17793100 and 1300?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-9))\/((-2)\/(-150)). Suppose -78 = -c - r. Is c a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147 - 0?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 154069248*z + 1483583323705344.\nAnswer: 4*(z - 19258656)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.04, -19, -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15221*p - 15221*p - 8*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - t - 3*t**2 - 4*t + 5 + 1. Let v be i(-6). Which is the nearest to 1? (a) 0.2 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 46 + 26. Let t = 120 + -33. Suppose 5*w - 83 = t. Calculate the remainder when w is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 157*y**2\/3 + 98779*y\/3 + 16354\/3.\nAnswer: (y + 629)*(157*y + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420547779.\nAnswer: 13, 2791, 66713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -10, -5, 4, -955 in increasing order.\nAnswer: -955, -10, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -427, -428, -429, -430, -431?\n\"Answer: -y - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*w + 13 = 3*w, -w + 34 = 5*v. Let l be (-3 + v\/2)*-12. Which is smaller: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/16 + 3*b**3\/4 + 27*b**2\/8 + b. Solve i(k) = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*d**5*g + 13*d**5 + 37*d**2*g + 2*d*g + 487*d - 2*g wrt d?\nAnswer: 280*d**3*g + 260*d**3 + 74*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1*(21\/(-4))\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368752 and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-112)\/(-42))*28\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56969491 + 0.2.\nAnswer: -56969490.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 1 - 3990*v**3 + 3*v + 3988*v**3. Determine w(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5106924*b + 278. Let a be n(-4). Let d = a - 59427974. What is d rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -3.9. Let t = -12 - -14. Sort n, t, 3, -3 in descending order.\nAnswer: n, 3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/726 and -109\/30.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2) + (-3)\/(-1). Suppose -5*a - t*q = -63, 2*a + 2*q = a + 11. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - 4. Let w = a - -58.4. What is the closest to -0.3 in -1\/10, w, 1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -7*o - 34. Solve 2 = -b, -f + o = -3*b - 0*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4325669 - 5.8.\nAnswer: 4325663.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/28)\/(11\/154)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 - 4.08. Let g = -1973713 + 1973708.999993. Let z = g - f. What is z rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 59217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 10306698.\nAnswer: 10306698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/21)\/((-10)\/35). Calculate the greatest common factor of 78 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -991366, -991347, -991328?\nAnswer: -991309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 339709 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -2*l - 162. Let k = l - 24. Suppose -5*j + 4588 = -k*q, 0 = -2*j - 2*q - 3*q + 1860. Round j to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1043326 - 0?\nAnswer: -1043326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 2*x - 1. Let t be k(3). Let z = -4 + 5. Let u be 4 + -1*z\/1. Solve -i + 4*h = -8, t = -u*h + h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 i when four letters picked without replacement from {x: 1, i: 6, g: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6780*c**2 + 6819*c**2 + 827*c**3 + 1185*c**3 - 20076*c**2 + 6861*c**2 wrt c.\nAnswer: 12072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3 - 640*q**2 + 3713*q?\nAnswer: -12*q - 1280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1155)\/7*(-214)\/(-3210)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 240552\/(-312)*(-2)\/36*2. Is 87 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2940 and 156750?\nAnswer: 15361500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 632 - -797. Let g = y + -504. Is g a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*g**4 - 780*g**2 - 522*g**3 + 7775 + 666*g**5 + 4725*g - 669*g**5 + 5725.\nAnswer: -3*(g - 3)*(g + 5)**3*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 + 124.051. Let j = y - 0.034. Let m = j - 5.017. Which is the fourth biggest value? (a) -3 (b) 2 (c) m (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-20) - -1) + 2672\/40. Suppose -p*g = -64*g + 46200000. What is g rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -6, -10, -4, 18, 62, 134?\n\"Answer: m**3 - 4*m**2 - 3*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -3*l + 3 - 2\/5*l**5 - 11\/4*l**4 + 2*l**2 + 0*l**3. What is the second derivative of h(w) wrt w?\nAnswer: -24*w**2 - 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6011477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c + 0*c)*(c - c - c**2) + 3 + 2*c**3 - 3 + (3 - 3 - c)*(-2*c**2 - 2*c**2 + 7*c**2) - 7*c**3 + 38*c**3 - 7*c**3.\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19872.2mg to grams.\nAnswer: 19.8722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 26*t + 2021 = 0. Suppose 3*k = 5*y - 166, -173 = -0*k + 4*k + 3*y. Is t < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-92)\/(-224) - -2) + (3 - 6) and -9\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 1. Let n be y(1). Suppose -1139 = -2*k + 5*w, -n*k - 8*w = -3*w - 2203. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - 1 - (-10220)\/73 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 11) to base 4.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 44 + 46 = 0. Calculate the least common multiple of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 848 - 842. Let c(y) = -y**3 + 2*y**2 + 4*y**2 + 0*y**3. Let v be c(w). Solve v = -i + 2*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6, 3*p + 4*s = 54 + 57. Suppose -p + 13 = -4*i. Suppose -b + 3*b - 2*l - 730 = 0, -1837 = -i*b - l. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from dydabxbbbbxxdbybyb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13020 + 5930. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywwwwuwwuyuyqyy. Give prob of picking 1 w and 3 u.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Suppose 0 = 5*y - l - 13. Suppose 6*g - 12 = 3*g, -7999988 = 5*v + y*g. Round v to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.156 + -12.156. Which is the second smallest value? (a) o (b) 72 (c) 0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (2 + (-1 - 0)). Let b = 2149\/8 - 269. Let s be (-84)\/(-30) - 2\/(-10). What is the closest to 1 in b, t, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 3408\/(-72))\/((-30)\/(-45)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 12:49 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279448 is divided by 93149.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - i. Let s be r(1). Let d be (3 - s) + 2*-1. Let q = -4 + 7. Solve d = 2*l - q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -41*b + 116. Calculate q(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1 in descending order.\nAnswer: 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 223 and 222 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 13*a**2 + 29*a - 103. Give p(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/75747 and -14\/3.\nAnswer: 75747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4300)\/144)\/5 - 2922\/11688.\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2227 and -7\/5.\nAnswer: 11135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13897 and -609.\nAnswer: -14506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - 49 - (1 + -4 - -4 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 17*s**2 + 36*s + 20.\nAnswer: -(s - 5)*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/36*(0 + -2). What is the third smallest value in v, 0.05, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**5\/10 + q**4 - 11*q**3\/3 + 6*q**2 + 49*q - 1. Factor o(w).\nAnswer: -2*(w - 3)*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 928 divided by -2037.\nAnswer: -928\/2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42196056027897.23999999 - -42196056210222. Let z = k + -182324.67. Let v = z + -0.09. What is v rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37387*w**5 + 26*w + 271 wrt w.\nAnswer: 747740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by 4.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 12, 4, 5 in descending order.\nAnswer: 12, 5, 4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = -2. Suppose -5 = 5*b + o*z, 2*b - 3*b = -2*z - 8. Suppose -2*m + 5*t + 7 = 0, -3*m - b*t - t + 21 = 0. Solve -5*q + 4 = -m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -0.5511 (b) -27\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 4:03 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 10) to base 4\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21146479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30 * -1764655\nAnswer: -52939650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*2 + 2)*-4.\nAnswer: -72*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**3 - 4112*s**2 - 38*s - 39018. Determine d(-1028).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9326 + -5353. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -10 - (-87 - (-26 + 43)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-2))\/((-2)\/(-6)). Suppose -2 = o - 7 + 3. Put i, o, -14, 0 in descending order.\nAnswer: i, o, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/(-25)*10\/(-4). Let l be s\/(-21) + (-256)\/(-14). Suppose d + d = 24. Calculate the greatest common factor of l and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*g + 21, -y + 3*g - 14 = -29. Find the third derivative of -15*v**6 + 7206*v**4 + 1 + 25*v**2 - 7207*v**4 + 110*v**y wrt v.\nAnswer: 11400*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4430630227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 10*j - 13. What is o(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, and 1 s when three letters picked without replacement from rjttrjjjsjjsr.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1505, -3032, -4559, -6086?\n\"Answer: -1527*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*j - 69*j = -74. Let z(w) = -3*w - 1. Let m be z(1). Sort j, 1, m, 3.\nAnswer: m, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**3 + r. Let c = -8 + 4. Let h(b) = -6*b**3 - 3*b. Let u(p) = c*h(p) - 9*a(p). What is y in u(y) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:24 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - -20. Suppose -5*r - 27 = -j - 3*j, 5*r = 5*j - k. Solve 4*h + 1 = j*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447.257 litres in millilitres?\nAnswer: 2447257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.075 - 0.425. Does p = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 207, 626, 1233, 2028, 3011, 4182?\n\"Answer: 94*b**2 + 137*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 250 + 232. Let x(q) = 2*q**s + 3*q**2 + 5 + 2*q**2 - 1 - q + 5*q. Determine x(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -1\/10*d**5 + 1\/4*d**2 + 1 - 1\/2*d**3 + 0*d + 3\/8*d**4. Factor i(b).\nAnswer: -b*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -84. Let s = 42 + y. Put 2, 3, s in increasing order.\nAnswer: 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 192186\/21 - (-8)\/28. Round p to the nearest one hundred.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -11*z**2 + 0*z - 25\/24*z**4 + 2 + 5*z**3 + 1\/12*z**5. Determine o so that f(o) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - h + 2*h - 1794 = 0, 2*o - 3*h = 1810. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -1, 0, 2 in increasing order.\nAnswer: -1, 0, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 12:52 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/16*(2 - -18). Suppose -2*k - 4*g + 3 = -c, -2*g + 6 = 2*k. Let -17*a**3 - a**5 - a**4 + 18*a**3 + 0*a**k + a**2 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 15*d**3 - 3*d - d**2 - 2 + 0 + 0 + 5*d. Let j be t(2). Calculate the common denominator of -2 - j*2\/(-72) and 67\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -74*u + 95. Give z(-3).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 739, 1100, 1445, 1768, 2063, 2324?\nAnswer: 2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-1\/24)\/((z**(-7)*z)\/(z*z\/z**(2\/7))) assuming z is positive.\nAnswer: z**(5177\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0112 * 0.5\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 9*a + 3\/10*a**3 - 1\/5*a**4 + 0 - 1\/5*a**2 + 1\/25*a**5. Determine o, given that v(o) = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 91*r**3 + r**2 - 3*r + 3. Let p be z(1). Suppose 4*t - 92 = -0*t. What is the greatest common divisor of t and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 11*x, 3*i + 5*x - 409 + 370 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1255 (base 11) to base 14\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -93.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 18955.\nAnswer: 18952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = 3. Suppose -u*m + 29 = -1. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 499*h**2 + 86*h + 163. Let z(i) = 2*i**3 + 503*i**2 - 75*i - 161. Let x(d) = -5*m(d) - 6*z(d). What is the second derivative of x(c) wrt c?\nAnswer: -42*c - 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 446556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let c(j) = 18*j**2 + 54*j. Suppose -75 = 4*d - 183. Let a(q) = q**2 + 2*q. Let s(h) = d*a(h) - c(h). What is v(s(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-20\/9)*(v*v**(-1\/4)*v)\/v*(v\/v**3)\/v**10 assuming v is positive.\nAnswer: v**(-485\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-56) + (-4)\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 671838136 + 22117\nAnswer: 671860253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3554656*q**2 + 6848328 wrt q?\nAnswer: 7109312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75325 - -108191. Is c a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -2\/17, -7\/2, -0.1, 5.2.\nAnswer: -7\/2, -5\/2, -2\/17, -0.1, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5420 (base 9) to base 8\nAnswer: -7623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21311 is divided by 288?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 7972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.4 and 864.\nAnswer: -4665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(605) + 1 + sqrt(605) + sqrt(605) + sqrt(605) + sqrt(605) - -2*sqrt(605)*2)**2 + 1.\nAnswer: -198*sqrt(5) + 49007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3\/9)\/((-74)\/6660)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11243 - -55?\nAnswer: 11320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttfn when four letters picked without replacement from wwnhfhwwfhwhthw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 11. Let w be 0 - (30\/(-105) + 359\/(-42)). Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1539 or 20054?\nAnswer: -1539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948*b**2 - 14*b**2 - 291*b**2.\nAnswer: -1253*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 9. Let q(j) be the second derivative of -j**4\/24 - j**3\/3 + j**2\/2 - j. Let r(p) be the first derivative of q(p). Calculate -9*r(o) + 2*v(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 76.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 44, -5\/2 in descending order.\nAnswer: 44, -3\/2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 3108*p + 3108*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -354.17.\nAnswer: 177.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 101 (b) -2\/1871 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1175048, 4700233, 10575550, 18800999, 29376580, 42302293?\n\"Answer: 1175066*a**2 - 13*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33916 - -37765. Let l = -1363 - -3813. Let b = a - l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = 4*n. Let x = 32 - 24. Let l(v) = -1 - x*v**3 - 229*v**2 + 229*v**2. Determine l(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 751401, 3005594, 6762575, 12022338, 18784877?\nAnswer: 27050186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, g: 2, m: 1, s: 1, u: 3, z: 3}. Give prob of picking 1 z, 1 u, and 1 e.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 1\/6 (c) 4 (d) -20 (e) -3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50480 - 908389\/18. Let f = q - -86\/9. What is the common denominator of -3\/20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*u = 78 - 40, 7*z - 3*u = 8*z - 35 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from cflflkflxllbccl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)*1 - -107. Let z(n) = 6*n - 5. Let k be z(3). Suppose -3*m - k = -w. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100126)\/1721397*(-6)\/26.\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 0 - 620*z + 6 + 632*z. Give c(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594578399?\nAnswer: 594578399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 49272426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 12) to base 13\nAnswer: -1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2491909 + -2491898.20071. Let d = 10.8 - n. What is d rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + o**2 + 2*o + (0*o + 0*o - 2*o)*(-2*o - 4*o + 14*o) - o + o + 4*o**2 - 3*o**2 + 3*o**2 - o**2 + 0 + 2*o**2 + 0 as c*o + z*o**2 + q and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8650 is divided by 717.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((-18)\/(-2))\/(-3). Let l(t) = 8*t**2 + 1. Let i be l(1). Suppose -g*p + i = -1. Which is bigger: p or -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 5, -5, -1.\nAnswer: -118, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-4) - (-6)\/(-24). Let k(o) = -o**2 - t + 2*o**2 + 3. Let f(z) = -z**3 - 3*z**2 + 3*z. Let h be f(-4). Calculate k(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - -2 - (0 - 0). Suppose g - 5*l = -2*g + 9, -5*l + 9 = c*g. Suppose -g*z + 26 = 2. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 5494.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -81*m**2 + 10*m + 25. Let x(b) = 2*b**2. Calculate c(x(r)).\nAnswer: -324*r**4 + 20*r**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 5. Let r be d(-3). Suppose l - 19 = -2*n - 4, 2*l + n - 15 = 0. Solve 5*i + 25 = 3*x, l*x + 20 = -r*i + x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and -41 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 135, 204, 285, 378?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - r - 115 + 118 + 3*r. Give h(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -417*i**4 + i**3 + 19 - 72 + 434*i**4 wrt i?\nAnswer: 68*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*k - 11, -5*k + 4*d = -0 - 30. Suppose -k*j = j - 201. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*h + 11. Let n(l) = 10*l - 11. Let c be n(h). Let p = -106 - -108. Solve -p*a = 3*u - c, -1 = a - u + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10696888238487 and -0.19.\nAnswer: -10696888238487.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*p - 4. Let d(z) = -5 + 4 - 9*z + 10*z + 4*z + 3. Give d(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37.28 - 34.28. What is the fifth smallest value in 1\/6, 1, 0, r, 2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*5*2\/4 - (-23 + 14). Which is the nearest to 0.006? (a) -1\/3 (b) -2\/87 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.027490491?\nAnswer: -0.027490491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145 - -256. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1066720652 to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 12:55 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72995 divided by 10?\nAnswer: 14599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:59 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**4 - c**3 - c**2 + c + 1. Let b(m) = m**4 - 6*m**3 - 21*m**2 + 6*m + 6. Let q(p) = b(p) - 6*w(p). Find the third derivative of q(z) wrt z.\nAnswer: 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 16*m - 6. Let v be g(11). Suppose 0 = 3*w - b - 102, -5*w + 0*b = 5*b - v. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 117\/(-26)*40\/(-6). Let a be (-1)\/(2*(-3)\/72). Calculate the greatest common divisor of d and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(20)*-2 + (sqrt(100)\/sqrt(5))**2).\nAnswer: -80 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19\/66 + 5\/11. Let w = -3.1 - -7.1. Which is the closest to 1? (a) w (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 704 and -8 + 9198\/(10 + -4) + 11.\nAnswer: 16896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450645 is divided by 291?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-21 - (-36 + 34 + 11 + -4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*((-72)\/(-21))\/2)\/(27*188\/(-3807))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 3. Let j be -42*(-8)\/(-288)*-6. Let z(d) = -2*d + 7. Suppose 0 = 5*f + 8 + 7. What is f*z(q) + j*v(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3927 or 126629?\nAnswer: 126629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 17 - 5 = 0. Let d be u\/(-2) + 11 + -14. Let t(r) = -r**3 - 3*r**2 - 3*r - 10. Does 11 divide t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55159 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, k: 7}. What is prob of picking 3 k?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/19, -0.1, 5, 2\/7, -0.5 in increasing order.\nAnswer: -0.5, -0.1, 2\/7, 6\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*d + 13, 4*p + p + 2*d - 20 = 0. Let f(j) = -6 + 7*j + j**p - 3 + 4. Let a be f(-9). Calculate the highest common factor of 65 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1634, 1625, 1622, 1631, 1658, 1709, 1790?\nAnswer: 1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -0.9, -306, 19, -2\/167, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) -21 (c) 0.2 (d) 0.028\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -16*i - 324. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006963 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-7)\/105)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -5. Suppose 3*z = -w*z. Suppose z = 2*c - 77 - 179. What is the highest common factor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292 - 147 - 145 - a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y + 2334127 + 2832473 = 0. List the prime factors of y.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/3))\/s*s)**(-2\/3)*s*s\/((s*s*s**(5\/4)\/s)\/s)*s*s**(-3) assuming s is positive.\nAnswer: s**(-53\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09698, 3634, 1?\nAnswer: 0.09698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-2)*(-16)\/40. Find the third derivative of a**2 + 5*a**3 - 2*a**u - 5*a**3 wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Suppose 0 = 4*h + i*o - 20 - 28, h - 12 = -4*o. Let u be (3 + 0)*(-4)\/(-3). Solve h = -n + u*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p**2 - 4*p)*(3 - 4 + p + p).\nAnswer: -6*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3180 is divided by 1587.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - -1*(sqrt(95) + sqrt(95)*-1 + sqrt(95))) + 5*3*sqrt(95) + sqrt(95))\/(3*(sqrt(5) - sqrt(10)\/sqrt(2)) + sqrt(5) - sqrt(720)\/sqrt(4)).\nAnswer: -18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53188426*k**3*q*u**3 + 10*k**3 + 10*k**2*u**2 - 14*k*q + 175*q wrt u?\nAnswer: 319130556*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-24)*1)\/(1\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -88. Solve l*c - 2*p = 0, -3*c + 2*c + 2 = -p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6*f - 35 = -3*d, -d + 3*f = 9 - 34 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzzdzzzddzzdz. Give prob of sequence zzzd.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 153 + -75 - 73\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 156 = -11*c. Suppose -9*x - 976 = -c*x. What are the prime factors of x?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173085?\nAnswer: 3, 5, 11, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*o**2 + 241 - 117 - 122)*(-3*o**2 + 53 + 5*o**2 - 54) to n + c*o + u*o**4 + t*o**3 + p*o**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -86. What is the lowest common multiple of c and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2 - 4 + 0 - 4*k. Let s(n) = 9*n + 5. Let w(b) = 5*j(b) + 2*s(b). Let m(d) = -6*d. What is m(w(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 6)*(-2*k**3 + 0*k**3 + 0*k**3) + (-2*k**2 + 5*k**2 - k**2)*(-3*k - 4*k + 5*k).\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-2))\/(84\/966). Solve -3 + o = 33*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) - sqrt(19)*3) - (sqrt(171)*2 + sqrt(171))\/sqrt(9) - (((sqrt(152) - sqrt(152)*-1) + sqrt(152))*4)\/(-1*sqrt(8)*-2).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 - -120. Let a = -60 - -33. Let k = i + a. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -3\/2, 1.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 30274143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1))\/t**(-6\/5))\/((t\/(t\/(t**(-4\/3)\/t)))\/t)**(-46) assuming t is positive.\nAnswer: t**(-2267\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6971 times -13?\nAnswer: 90623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51999*d - 8052 = -51755*d for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.015 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*p - 454 = -104*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -112*u - 476. Is 18 a factor of v(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -1 in decreasing order.\nAnswer: 7, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 233, 1146, 2665, 4790, 7521?\n\"Answer: 303*k**2 + 4*k - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i - 1 + 8 + 3*i - 1. Let v(j) = -3*j + 6. Let n(m) = -5*t(m) + 6*v(m). What are the prime factors of n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7659260, -10, 0 in increasing order.\nAnswer: -10, 0, 7659260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c9219 (base 13) in base 15?\nAnswer: -e77dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 632*y - 635*y = -2859, 2*y + 4334 = 3*u. What is the highest common divisor of u and 900?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2233 at most as big as -2231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 615b98 (base 12) in base 4?\nAnswer: 11310011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**3 - 2*y - 1 + 0*y**2 + 4*y + 0*y**2. What is the first derivative of q(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:04 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**7\/210 + 17*v**6\/30 + 33*v**5\/10 + 49*v**4\/6 + 65*v**3\/6 + 81*v**2\/10 - 10*v + 93. Factor k(c).\nAnswer: (c + 1)**4*(c + 81)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 11*a**2 - 14*a + 27. Let w be h(12). Let t(z) = 2*z**2 + 23*z**3 - 11*z**3 + 22*z**3 + 2*z - w*z. What are the prime factors of t(1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4524097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*f + 2*f = 2, -4*s = -5*f - 2. What is the third derivative of 68*x**3 - 56 + 45*x**2 + 56 + 5*x**s + 2*x**4 wrt x?\nAnswer: 48*x + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1088) + 0)*2 - sqrt(1088))*5)**2.\nAnswer: -160*sqrt(17) + 27204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -39658.3 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 11:33 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**4\/3 - 242*v**3\/3 - 7085*v**2\/3 + 10482*v - 8040 = 0.\nAnswer: -30, 1, 3, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5027489 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: Suppose -z - f = -12, 41 = 3*z - 2*f + 6*f. What is the remainder when 9 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, p: 1, c: 3}. Give prob of picking 1 p, 1 s, and 1 c.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 938871 and 10899?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 181, 273, 365, 457, 549, 641?\n\"Answer: 92*q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 97 - 12*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/843531 and 49\/430.\nAnswer: 8435310","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**7\/140 + o**5\/60 + o**4\/4 + 15*o**2. Let t(b) be the second derivative of s(b). Differentiate t(r) wrt r.\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -567.1302807\nAnswer: -579.1302807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u - 4*a = 8, 3*u + 3*a = 24. Let r be (-2)\/(-1 + 0) + 13. Solve 3*y - 4*y - 7 = 5*h, r = -5*y - u*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152490473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2512058, -10048209, -22608454, -40192793, -62801226?\n\"Answer: -2512047*q**2 - 10*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2680 + 2700. Solve -4*o = 8*h - 6*h - c, -2*h + 3*o = 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 2794 - (-7 + 5)*(2 - 1). Suppose -3*w + m + 835 = -r, 3*m + 2416 = 2*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -180*u**2 - 42?\nAnswer: -360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/8 + -1)*-24. Let d = f + -11. Let w be (0 - -8) + 0 + -5. Solve d + 2 = w*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 - 184. Let s = h + 40.99816. What is s rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 10, -9 in ascending order.\nAnswer: -9, 2\/15, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 543006*j - 1085992. Give y(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 89856?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**2\/2 + 6*p + 3. Let t be z(-4). Suppose 0 - 2 = t*g. Which is bigger: 2\/17 or g?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 1123*h + 606*h + 623*h in the form k*h**2 + a*h + u + i*h**3 and give a.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 71?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 819900041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-6)\/9)*-12. Let b = -9 + l. Let r = 30 + b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/3027354 and 67\/1376070.\nAnswer: 15136770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 4*a - 1)*(0*a + 2*a - 5*a + (1 - 3 + 0)*(-2*a - 1 + 1) - 3 + 3 + a + 3*a + 2*a - 6*a - 3*a + 0*a + 0*a).\nAnswer: -8*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 + 56650*k**3 + 113285*k**2 + 56640*k = 0 for k.\nAnswer: -11328, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in -0.074, 3, -0.5?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63733 by -437.\nAnswer: 2771\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 15*r**2 + 13*r + 20. Let o be i(14). Solve 5*v - o - 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 56. Let v = w + 39. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-18 - (1 - 13))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 14. Let o be r(12). Find the third derivative of -f**2 + o*f**2 - 4*f**4 + f**2 wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4\/261, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 204*n**3 + 8725 + 11273 - 27016*n + 5980*n**2 + 5*n**4 - 668*n**3 - 4510 + 7*n**4 = 0?\nAnswer: 2\/3, 11, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-20))\/(((-7)\/10)\/7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7208*j - 116954 + 259533 - 71700 + 491345 = 0 for j.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1041949 divided by 21\nAnswer: 1041949\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**3 + 2*o + 0*o - 1 - 2 - o.\nAnswer: 23*o**3 + o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11120*h - 44363. Calculate l(-4).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 16 = -6, 0 = -w - 3*p + 21 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.062 + 0.062. Let k = 16\/15 + -97\/105. Suppose -3*h - 9 = 3*d, 3*h + 5*d + 15 + 4 = 0. Which is the biggest value? (a) h (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18057160 = -72*m - 43*m + 27*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 - 0.02. Let n = -0.1 - -0.3. Which is the nearest to s? (a) -1\/3 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -2\/13 (b) 0.1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1107 - -702. Calculate the lowest common multiple of (5 + 126\/(-30))*v\/(-6) and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8485970 is divided by 303067.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 429213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133072 is divided by 445?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 201110012201 (base 3) to base 15\nAnswer: 786a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21823, -21824, -21825?\nAnswer: -21826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1323\/18*4\/(-6) - -19.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 610 - 360. Round x to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 29*w**3 - 7*w**3 + (4*w - 4*w - 2*w)*(2*w**2 + 2*w**2 - 3*w**2) + (0 + 0 + 4*w**2)*(4*w - 5*w + 2*w).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3166 - -3166.5108. Let u = h + -0.0108. Which is the closest to 1\/11? (a) -1 (b) 4\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 15*m + 23. Suppose -v = -4*s + 64, -80 = -9*s + 4*s - 2*v. Let u be x(s). Which is the nearest to 1\/2? (a) u (b) -5 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5784480731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 976, 926, 874, 820, 764?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 x when three letters picked without replacement from {s: 3, a: 1, p: 6, f: 2, x: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -832*n - 20626. Calculate b(-25).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 55335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 3 + 9 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/6 + 238631*x**3\/3 + 4772470*x**2\/3 + 23862100*x\/3 = 0.\nAnswer: -477242, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 23*o**2 - o + 33*o**2 + 5*o**3 - 1 - 33*o**2 as w*o**2 + t*o + u + d*o**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d)**46*(d*d**(2\/9))\/(d**(-11)*d) assuming d is positive.\nAnswer: d**(-1555\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-156)\/52)\/42)\/((-22)\/(-385)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1412201.7 months to years.\nAnswer: 117683.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -41, -4\/5, -2\/7, -1\/47, -2\/21?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(14*10\/280)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 432?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 433 + -433. Let y(x) be the second derivative of -2*x + 1\/4*x**4 + 11\/18*x**3 + 1\/3*x**2 + n. Factor y(m).\nAnswer: (m + 1)*(9*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c - 17211 = -34*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aalialiiaiiiiia?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3341687 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05301 + -0.35301. Is 0.159 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*z - 3*n + 23, -n + 13 = 2*z. Suppose -z*x + 0*x = 0. Let h be x*-2*(-1)\/4. Solve -q + 2 + h = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 29*u. Let v(l) be the third derivative of l**5\/10 - 12*l**2 + 2*l. Give k(v(s)).\nAnswer: 174*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let r(y) = -3*y. Let n(f) = -r(f) - 4*s(f). What is n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551*y - 546*y - 5 = 0. List the prime factors of -10 + (7 - y) - -215.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8149, 8139, 8123, 8101, 8073?\n\"Answer: -3*w**2 - w + 8153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4 (b) 0 (c) 3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j**4 - 4*j**2 + 4*j - 9. Let k(t) = -12*t**4 + 3*t**2 - 3*t + 8. Let v(n) = -3*i(n) - 4*k(n). Differentiate v(g) with respect to g.\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - 0 - (124 + -120)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-3*5\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.034 - -15.534. Let y = 16 - v. Let z = -2.93 + -0.07. Sort z, -16, y in decreasing order.\nAnswer: y, z, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*q - 5. Suppose -x = -5 + 1. Calculate the lowest common multiple of x and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 12*k + 14. Let n be j(-11). Suppose n*p - 21 = -0*p. Suppose 2*o + 17500 = p*o. Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 65*o - 199. Give f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372974 (base 15) in base 4?\nAnswer: 22010313220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 14 = 3*y - y, -4*y = -3*u - 23. Solve -1 = a - 5*j - 4, -y*j = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693977397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 - 221*w**3 + 70*w**2 + 9*w wrt w?\nAnswer: -120*w**2 - 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-4) + (-3)\/(-12). Let q = a - 4. Let v(y) = 4*y - y**q + 0 + 2 - 3 - y**2. Give v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 + -25. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*p - 7. What is the remainder when 37 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(480\/(-56))\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305760288?\nAnswer: 2, 3, 41, 131, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*q + 16 = 0, -n - 2*q + 5*q = -4. Suppose -2*f - n = -3*f. Round f to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 (base 6) in base 3?\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211112 divided by 26389?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -604 by -22.\nAnswer: 302\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 899891021 to the power of 1\/2, to the nearest integer?\nAnswer: 29998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 10. Solve 2*c - 20 = o*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = k - 2*d, 5*k - 10 - 10 = -5*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:09 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330937162?\nAnswer: 2, 41, 61, 266081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5684*a + 4*a**2 - 1805*a + 809*a to the form r + s*a**2 + b*a and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - d - 29. What is i(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 = -d, -15*v - 8 = -13*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcwwcwwmmwmww. Give prob of sequence ww.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 10)*(-86)\/(-3) + -6 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003038837 rounded to 7 decimal places?\nAnswer: 0.0000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 337.9 or -503?\nAnswer: 337.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8850 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = -8. Suppose 3*b - 5*b + v = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (1 - 14*1). Let p = i - -7. What is the highest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.714 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.3432 centuries in millennia?\nAnswer: 51.53432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*9226.\nAnswer: 12916.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -197 divided by -20879\nAnswer: 197\/20879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59736263 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34897.045, 15, -4, -4\/7, -5 in descending order.\nAnswer: 15, -4\/7, -4, -5, -34897.045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 10512 = -7*b. Let k = 847 + b. What is the greatest common factor of k and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 5*g + 2. Suppose -14*o - 21 = -7*o. Let l(k) = -k + 3. Let c be l(o). Calculate x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 16 in ascending order.\nAnswer: -5, -4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 396295 + -26552791\/67. Let j = -136621\/402 + f. Let w = -356 - j. Sort 1, -4, w, 0.6 in descending order.\nAnswer: 1, 0.6, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2989*b + 47825. Determine l(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5041\/5 - 142\/5*t + 1\/5*t**2.\nAnswer: (t - 71)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 5:46 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 0, -8*s + 3*s - 55 = -5*j. Solve -a + 3*m + j = 0, -3*a + 4*m + 7 = -11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-6 - 7) + -8 + -24\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5 - 1 + 0 - 35*l + 34*l. Let i be b(6). Let f be (-27)\/i - (-2)\/(-8). Solve 0 = 3*z + h + 6, -7 = -2*z - f*h + 5*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - c**2 - 2*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 22. Let r = x + -17. Let n be (-1)\/3 - (1 - 1). Which is the nearest to 0.1? (a) -0.2 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 824 and 8022876?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*y - 26292, 2*y = 2*i - 2876 - 14652. What are the prime factors of i?\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 161\/(-84) - -2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13574*f*v**2 - 9830*f*v - 10410*v**4 - 20761*v wrt v.\nAnswer: 27148*f - 124920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 83035.3m?\nAnswer: 83.0353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 292.5*158\nAnswer: 46215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -32*v + 22. Is v greater than -7\/482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*z - j - 39, -4*j = -4*z - 64. Let b be 2\/7 - 36\/z. What is the first derivative of 2 - b + n + 2 wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.5. Let a = s - -0.6. Is 2 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18455.99935645 + 18456. Round z to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 9*a**2 + 8*a - 8. What is s(10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(99)\/(sqrt(54)\/sqrt(96) - sqrt(9)).\nAnswer: -16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 955 = -39*m + 38*m, 5*m + 985 = 5*n. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30842531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2 - 72675*g - 72670 = 0. What is g?\nAnswer: -14534, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 5, -2\/9, -2\/67605 in decreasing order.\nAnswer: 5, -2\/67605, -2\/9, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 2, b: 1, i: 1, r: 1, v: 1}. Give prob of picking 1 v and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + d**2 - 14*d - 3*d**2 - 2*d**4 + 15*d to the form j + a*d**4 + k*d + u*d**2 + o*d**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - (6 + -4) - -28902) + -6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/124 and -151\/156.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2 - 13*x + 5. Let k(d) = d**2 - d + 1. Let j be -37 + ((-6)\/3 - -3). Suppose 16*g + 35 - 99 = 0. Let n(c) = g*b(c) + j*k(c). Solve n(y) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/12*2\/27*(-176)\/(-44)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.4 (b) 0.22 (c) -0.102 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-8 - -15) + (-213 - -275)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6545 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33457638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(((-110)\/10)\/11)*17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1102041*t - 1317156 wrt t.\nAnswer: -1102041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 398 + -d29?\nAnswer: -991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 512645 (base 14) in base 15?\nAnswer: 390241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59715697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12301\/72 + -531\/8. Let n = v + 237. Let b be -2 + 1 + (-1 - -1). What is the third biggest value in 0.1, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 108, 116, 122, 120, 104, 68, 6?\n\"Answer: -x**3 + 5*x**2 + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-12 - -3) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25203 (base 9) to base 7\nAnswer: -100236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 94, 2, 4, -74, -231, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/11850507?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a\/a**(-2))\/(a**2*a*a**(1\/8)))\/(a\/(a*a*(a\/a**(1\/4))\/a)*a*a*a**(2\/11)\/a*a)**47 assuming a is positive.\nAnswer: a**(-5933\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + 5*b**2 - 3*b + 2. Let s be -1 - 2*(-4 - -1). Let a(m) = 3*m**3 - 9*m**2 + 5*m - 3. Let z = -236 - -239. Give s*f(r) + z*a(r).\nAnswer: -r**3 - 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8460565 months to millennia.\nAnswer: 0.000237171375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*c = -1, -16*o - 4*c + 317 - 183 = -2*c for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-16))\/((-18)\/(-72))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(102)\/sqrt(3))\/sqrt(2) - (-1*sqrt(1700)*6)**2.\nAnswer: -61200 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 10*r - 3400. Suppose -r = -5*d + 385. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408088, 408102, 408116, 408130, 408144, 408158?\nAnswer: 408172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/4 - j**4\/4 - 77*j**3\/4 - 323*j**2\/4 - 106*j - 44 = 0. Calculate j.\nAnswer: -4, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 932*w**5 - 5*w**2 + 60*w wrt w.\nAnswer: 55920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 11, 28, 53, 86?\n\"Answer: 4*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102784677 to the power of 1\/2, to the nearest integer?\nAnswer: 10138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 11 = 3*a + d, 5*a + 6 = 4*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (196 + -121 - ((1 - 2) + 4))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 + 927*a + 10 - 938*a wrt a?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -8*z - 2. Let p(c) = 3*c**2 + c. Let v be p(z). Let b be v\/(-8) + (1782\/840)\/11. Put 0.1, -0.1, 0, b in ascending order.\nAnswer: -0.1, b, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/3 - (44\/12 + -3). Let r(w) = 30*w + 9. Let o be r(f). Is ((-16)\/(-12))\/((-1)\/o) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 + 20.9. Let c = 16.55 - i. Let l = c - -1.66. Round l to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 6) + (-1 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 31.4657?\nAnswer: -220.2599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + 0.2. Let c = w - 0.04. Let u = c - 0.19. What is the third biggest value in u, 4, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 8*u + 76133 = u. Is 4007 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 47. Let g(v) be the second derivative of 3\/2*v**2 + 0*v**5 + 0 + 0*v**x + 0*v**3 - 1\/30*v**6 + 2*v. What is the derivative of g(i) wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0237 + 0.1237. Let x = -1 + -2. Let q = 15 - 11. What is the nearest to 0.3 in c, x, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19205?\nAnswer: 5, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1422433615*x**4 - 2*x**2 + 412676284?\nAnswer: -34138406760*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14240 and 20?\nAnswer: 14260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1228)\/1842*42*6\/(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x\/x**(-2))\/x)\/x)\/((x*x**(-1\/3))\/x))**(-1\/11)*(x**(1\/2)\/x*x**(-1)*x)**(-3\/11) assuming x is positive.\nAnswer: x**(-5\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54860 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**2 + 160*p + p**3 + 9*p**2 - 2*p - 10*p**3 + 10*p**2 wrt p?\nAnswer: -54*p + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 - -253281?\nAnswer: 253247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 19*d**2 - 5*d - 20. Let t(n) = -8*n**2 + 3*n + 9. What is 14*t(m) + 6*w(m)?\nAnswer: 2*m**2 + 12*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -157\/7, 2, -3\/11, -3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4391*b - 4385*b + 126 = 0 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 4633*d**6\/60 + d**4\/24 + 834*d**3 - 4*d**2 - 530*d + 1. What is the second derivative of k(u) wrt u?\nAnswer: 55596*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 9. Let z be r\/(-1) - (12 - 3). Suppose 0 = f - 3*i - 13, -3*f + 3*i + 17 = -f. Sort f, -1, z in decreasing order.\nAnswer: f, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clolcacaccclat. Give prob of picking 2 l and 1 c.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 49*h**2 + 543*h + 41. Let y be o(-11). Let a(k) = 2*k - 1 - 5*k**2 - 4 + 6 - k. Calculate a(y).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -106. Let i = j + -68. Let x be 8\/(-10) + (-55)\/25. What is the nearest to 3 in x, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 44.081. What is q rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 46.128\nAnswer: -230.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 17*c**3 - 120*c**2 - 11*c - 11. Suppose 3*p - 5*i = 42, 0 = p + 13*i - 11*i + 8. Let x(u) = -6*u**3 + 40*u**2 + 4*u + 4. Calculate p*s(n) + 11*x(n).\nAnswer: 2*n**3 - 40*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -25, -57, -93, -133, -177, -225?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*12\/19*(-188)\/752\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/19 + 358252*t\/19 - 358214 = 0. What is t?\nAnswer: 19, 179107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 478502, 957002, 1435504, 1914008?\n\"Answer: l**2 + 478497*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 at most as big as 383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 13. Calculate b(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (11 - 22) - (-2)\/3)\/(-1)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/((-36)\/(-15))*-36. Suppose -3*i + m = 2*i. What is the third derivative of -i*g**4 - 3*g**2 + g**2 - 7*g**2 + 3*g**4 wrt g?\nAnswer: -360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*b - 10504 + 15434 for b.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 679, 1 in increasing order.\nAnswer: -35, 1, 679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + -0.8. Let u = w + 0. Which is the nearest to u? (a) 3 (b) -2\/3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ztt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.51 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + c = -131, -3*c = 7*t - 2*t - 147. Suppose t*y - 25*y - 2*a - 4 = 0, 0 = a + 4. Is y less than or equal to -23\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 753, -1, -2\/9, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 5:37 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 37 + 2 + 22*y**2 + 1 - 21*y**2 - 2*y**2.\nAnswer: -y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*g + 26, 0 = -2*p - 3*g + 12 + 46. Suppose 5*y + p = 7*y. Solve -1 = z + 2*n, y = 2*z - 7*z + n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s - 19. Suppose -2*t - 7*n = -4*n - 28, n = -3*t + 42. Let z be q(t). What is the highest common divisor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i = -10. Find q, given that -2*q**i + 3*q + 0*q + 0*q - 2*q + q**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = -3*t - 2*j - 44, 5*j + 345 = 4*t. What is the remainder when t is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.33 - -12.326826. Round n to four decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 96*z**3 + 61*z**2 + 46*z**3 - 1 + 50*z**3 in the form b*z**3 + q*z**2 + y + k*z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -3326695.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {d: 1, k: 1, v: 2, q: 2, f: 1, u: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0*r - 4*n + 1028, -2*n + 1704 = -5*r. Let i = -129 - r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*m + 14 = -452*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + 106. Suppose 11 + 31 = 3*q + y, 2*q + 2*y = 28. Calculate the remainder when u is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1413 - -1416. What is the closest to -3 in -1\/6, s, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 3 + 3)*(4987 - 6*p - 4987 + 4*p - 3*p + 0*p + (0 - 2*p + 0)*(-5 + 3 + 0) - 2*p + p - p).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3 + b + 0*b + 2*b - 2. Determine j(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -374.29595, -0.4 in descending order.\nAnswer: -0.4, -4, -374.29595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 - (108 - 77) - 132?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3409 - -6308. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.1, -0.3, -2\/11, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 701834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4))\/((-9)\/(-102)*80\/120)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2814806)\/371)\/(4068\/21). Let n = -2\/5989 + i. Let l = -39 - n. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 18 + 10)*(y**2 - y**2 + 3*y**2).\nAnswer: 252*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1166)\/55)\/((-16)\/5) and (-351)\/104*2\/42.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26341 divided by -8861?\nAnswer: -26341\/8861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*d + 6 - 0, 5*i + 3*d = 29. Suppose 2*h + 6 + 2 = 0, -28244 = -i*s - 5*h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 443, 997, 1773, 2771?\nAnswer: 3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 119 = 31. Let t be 6\/21 + (-52)\/(-14). Suppose 0*s - 3*s = -t*j + o, -j + 8 = -s. 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: Let m = -490 + 1088. Let s = m - 119. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:54 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 34 + 0*m + 24 + 10.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 14) in base 15?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5534*b - 2186 - 413*b - 268*b - 3845*b + 615*b wrt b.\nAnswer: -9445","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vobjljyjyvjvvbblvvb. Give prob of sequence jyv.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.109 - -5.909. Let i = -0.5 - -0.5. Let z = i - 0.1. Sort c, z, -5, 6.\nAnswer: -5, c, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.48046 years to months.\nAnswer: 245.76552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 7*u**4\/4 + 5*u**3\/3 - 5*u**2\/2 + u + 2. Let i(f) = -6*f**3 - 4*f**2 + 4*f - 1. Let o(k) = -3*g(k) - 4*i(k). What is o(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 66 = 2*w + w - 0*w, 463*w - 464*w + r = -7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50940 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 3.18, -0.26 in decreasing order.\nAnswer: 3.18, -2\/11, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 634888297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*i + 17*i**2 - i - 4*i wrt i.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11659?\nAnswer: 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1 (c) -25 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33512 divided by -8378?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*v = -20 - 6, -5*v + 54 = -3*g - 41 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.83 - -0.17. Let b = n + -22. Let r = -8 - b. What is the second smallest value in 5, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21251*b + 10603*b + 10648*b + 68*b**2.\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/3)\/((-6)\/108). Let l be 0\/3 + 1 + k\/30. Which is the second biggest value? (a) l (b) -2\/7 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -137\/3. Let b = -441 - -451. What is the closest to v in b, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24692404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r + 117. Let d(n) = 3. Let l(w) = -6*d(w) + v(w). Let k be l(11). Solve -5*o - 5 = k, 0*g + o + 5 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q. Let l be (2\/(-3))\/((-5)\/(-30)). Let v(m) = 3*m + 4. Let p(t) = t + 1. Let i(n) = l*p(n) + v(n). What is i(r(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 703.0814ml?\nAnswer: 0.7030814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -27 - -26 - ((5 - 20010) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2355306 (base 9) to base 5.\nAnswer: 311323403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-620)\/744*3*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5\/3 + p**4\/3 - 22*p**3\/3 + 2*p**2\/3 + 23*p + 15 = 0?\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 968365 to the power of 1\/2, to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 187199, 374395, 561591, 748787?\n\"Answer: 187196*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 189 = 5*u, -g = -3*u - 2*u - 186. Let s be 4 - 7\/1 - u. Suppose -j + s = -20. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k + 1\/16*k**2 - 7 - 1\/24*k**3 + 1\/40*k**5 - 1\/32*k**4. Let b(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3079 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15616990830.29804 - -15617282521. Let u = -291701 + v. Let d = u + 10.3. What is d rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - -8. Solve 5*u - 30 = 4*o, -4*u + 5*o + 14 = -a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**2. Suppose 5*i - 39 = 11. Let h(z) = -i*z - z + 4*z + 3*z. What is h(t(r))?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 10*q**2 + 8*q + 10. Let u be l(9). Let j be (-144)\/(-30) - 2\/(-10). Let n be 1\/((-10)\/(-8)*(-12)\/(-60)). Solve j*r - n = u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -568, 4, 2278.\nAnswer: -568, 1, 4, 2278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*k - 15951 = 66*k + 78 + 7830 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -1, 3 in increasing order.\nAnswer: -13, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/100 - (-2)\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000562137 to 5 dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14777332259 minus 362?\nAnswer: -360.85222667741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2441585 less than -2441581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 83\/11 + (-21)\/3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-9)\/(-6)*25\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.37, -360, -2, -11.9 in decreasing order.\nAnswer: 5, 0.37, -2, -11.9, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 98 = m, -4*m = -5*h + 57 + 118. Suppose 5*q - 3*a + h = 143, 0 = 4*q + 2*a - 72. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -172*d + 373. What is the tens digit of o(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -3*x - 119. Factor 69*g**2 + 20*g + 9*g**3 - 4*g**3 - 49*g**x.\nAnswer: 5*g*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*u**2 + 24*u**2 + 56*u**2 - 9*u**2.\nAnswer: 116*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - ((0 + -6 - -1) + (43 - 37))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 11:11 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 4 - (-1 + 0). Suppose -2*w = -z*w. What is the derivative of -2*i + w - 1 - i wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 21*c**2 + 17*c + 4. Let x be i(20). Let a = x + 95. What is the remainder when a is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38113240 and 33?\nAnswer: 114339720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210 (base 9) to base 6.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.7, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*k - 0*v - 15, -k + 3*v + 7 = 0. Suppose -2*l = -5*h - 55, -k*l + 122 = -0*h + 2*h. Solve 5*f = -l + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, t: 5}. Give prob of sequence ddd.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1.5, -3, 3\/4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -49645, -49646, -49647?\n\"Answer: -z - 49644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13456\/3, 1006, -0.09?\nAnswer: 1006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 101 = -5*g + 9*g, -g + 22 = -3*i. Suppose g = y - 8. Suppose -4*o = 3*k + y, -5*o - k - 31 = 2. Let b(m) = -m**2 - 9*m - 4. Determine b(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from ltvdrtl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3 = r - 3*b, 15 = -5*b. Suppose 4 = -2*i + i, 5*k = -r*i + 192. Calculate the highest common factor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 6:22 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/140 + 54\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65100 (base 13) in base 2?\nAnswer: 101100100011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 487621414 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 7294290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48592 and 40.5715.\nAnswer: -48551.4285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(2\/7)*k*k*k*k\/k**4)\/(k**(-1\/2)\/(k\/((k*k**(4\/3)\/k)\/k*k))))**(2\/3) assuming k is positive.\nAnswer: k**(79\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214*s**2*t**5 - 4040*s**2*t**3 - 2*s**2 - 84*s*t + 62*s + 4*t - 1 wrt t.\nAnswer: -4280*s**2*t**3 - 24240*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 19 = -55. Let v = -12 + t. Calculate the remainder when 9 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17023)\/(-2) - 0)\/(8\/16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -397, -684, -1031, -1438, -1905?\nAnswer: -2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/77*-28*1\/4*-7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000364 rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/5)\/(a*a**(-6)))**16*(a**(2\/5)*a*a)**(-15)*a*a*a\/a**(1\/4)*(a\/a**(-7\/5))\/a assuming a is positive.\nAnswer: a**(1347\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a + 6. Let j = a + 12. Solve 0 = -o - 2 - j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 5 + (-2 + 3 + 1)*(-2 + 2 - 2))*(-59*k - 77*k + 121*k)*((-4*k - 2*k + 4*k)*(-2*k**3 + 6*k**3 - 2*k**3)*(3 - 4 + 3) + 94 + 9*k**4 - 94).\nAnswer: 75*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 183\nAnswer: 128.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (7 - 3) + -11 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 12 + 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2511*g = 138029 - 180716 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -518, -480, -428, -356, -258?\n\"Answer: u**3 + u**2 + 28*u - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + 7 + (-2 - -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9201*k - 4634*k - 5396*k to w*k + r and give w.\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70437 - 74974 + 9811 = -20*u. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*o = 16, -2*v - o + 2 = o. Suppose 6 = v*d - d. Let g(w) = -3*w - 2*w + d*w. Let c(x) = 5*x**2. What is c(g(k))?\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/30*(-5)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 169452.\nAnswer: 2\/14121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-351)\/12)*4\/8.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 26*i**2 + 5*i - 92. What is the hundreds digit of g(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**0))**21)**(-2) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 3445 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/(-230))\/(28\/10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 33. Let i = c + 11. Let k be i\/(-4)*(-28)\/(-35). What is the nearest to 2 in k, 4, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*t = 8, 0 = -5*j - 4*t + 2 - 0. Suppose -25 = -7*s + j*s. Calculate the remainder when 9 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3761 - 3763. Let n = 6 - 5.7. Which is the closest to -0.1? (a) y (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 58, -1, -4, 0, 528 in descending order.\nAnswer: 528, 58, 3, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/141, -1\/3, 0, -4\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3 = -5*q, f - 1664*q - 6 = -1665*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 - -132.1. Which is the closest to s? (a) -0.17 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 5*k**2 + 19*k - 454. Give h(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7682695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times -0.008?\nAnswer: -1.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2\/2)*-2. Let i be 1 - (s + -1 - -3). Solve 3*g = 3, 3*o + g + i = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l - 88*l + 5 = -5*x, 0 = 5*x + 3*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -16*b**2 + 33*b. Let r(s) = -14*s**2 + 33*s. Determine -3*i(k) + 4*r(k).\nAnswer: -8*k**2 + 33*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**0)**(-2\/59))**(3\/8)\/(((f*f*f**(1\/5))\/(f\/(f*f\/(f*f*f**(-4)*f))))\/((f*f**(-2\/5))\/f*f*f\/(f*(f\/f**(-2\/7)*f)\/f*f)*f)) assuming f is positive.\nAnswer: f**(-20283\/4130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3027 smaller than -3027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 not equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 0. What is the closest to 2 in 3\/2, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + -0.1. Let x = -611.9 - -612. Let n be -6 + 4 + 11\/5. Which is the closest to -2\/7? (a) i (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**16\/((a**26\/a)\/a) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in 219, -0.2, 8, 3\/22, -1?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181656 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1722\/19 + 12313\/152. Calculate the common denominator of ((-50)\/18)\/((-4)\/6) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 35*v**2 - 35*v + 29. What is n(34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 191*u**4\/4 + 110*u**3\/3 - 150. Find the third derivative of g(c) wrt c.\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxx when three letters picked without replacement from mxembmmmxmmb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 3, c: 3, u: 2, y: 1}. What is prob of sequence cyk?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -510*j + 1005. What is t(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24960 is divided by 1653?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppspsfppssppfzpszsz.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/17 + 8*m**3\/17 - 32*m\/17 + 32\/17 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*n = -554*n + 68 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*b = 4*x - 14, 0 = 5*x - b - 16. Sort 0, 31, 4, x in descending order.\nAnswer: 31, 4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1. Let g(l) be the third derivative of l**3\/6 + 63*l**2 + 2*l. Give 2*g(i) + 2*n(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3382*f - 31020 = 3899*f for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -81152667 divided by -1?\nAnswer: 81152667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 31*k + 10. Let c be d(-12). Suppose -2*t - 2*l + 5*l + 152 = 0, 0 = -3*t + l + c. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -545*s**5 + s**3\/3 + 14393*s - 6806. What is the first derivative of p(b) wrt b?\nAnswer: -10900*b**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -55949 = -223799\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66417915?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 - 1272432*m + 101192699664 = 0. Calculate m.\nAnswer: 159054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 - 59. Let t = y + -28. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-16))\/((-147)\/196)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1037 and 12139?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00159 to five decimal places.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -71, 3, 5, 2, 1144 in ascending order.\nAnswer: -71, -5, 2, 3, 5, 1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.9 + 19. Let t = 0.05 + 0.95. Let r = m - t. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - 5*o**2 + 5801*o - 34852. What is s(6)?\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 61 = -327. Suppose 3*d = 5*m + 1664, 14*d = 17*d - 4*m - 1660. Suppose -3*k + g + d = 0. What is the highest common divisor of k and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 62441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -33*o - 407. What is u(-9)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -20. Calculate the least common multiple of 10 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.64, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmb when three letters picked without replacement from cmudbdpuc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-2)*(1\/14)\/((-2)\/(-28))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -4, -149, 2, 38, 1492 in ascending order.\nAnswer: -149, -5, -4, 0, 2, 38, 1492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.4, 1, -42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/4, -8\/13, -4, -8660 in decreasing order.\nAnswer: 1\/4, 0.2, -8\/13, -4, -8660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 5*r**2 - 2*r + 12. Let v be i(5). Solve 3 = v*c - 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**9)\/q*q**(-1\/19))\/((q\/(q*q\/((q\/q**(-16))\/q*q)))\/q**(1\/4)))**(2\/3) assuming q is positive.\nAnswer: q**(-1885\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxdduuluudulusuuuux. What is prob of sequence su?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) - (-347)\/5. Let r = 699\/10 - t. Suppose 3*h + h = -4. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {f: 1, s: 6, e: 1, t: 8, y: 3}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5009 divided by -27.\nAnswer: 5009\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38 and -0.13?\nAnswer: 37.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 + n**2 + n - 2. Let y be a(2). Let f = y + -33. Find the second derivative of -2*w**f - 15*w - 3*w**3 - 9*w**3 + 7*w**3 wrt w.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 - 7*y + 33. Let a be t(3). Let p be -5 - (a\/84 + (-166)\/7). Solve 3*x - p = -31 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*r - 3*y, 3*y + 0*y = 3*r - 18. What is the second derivative of -11*v - 4*v**3 - r*v**3 - v**3 wrt v?\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32885 and 0.3.\nAnswer: 32885.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*m + 3, 4*m - 23 = -3*u + 5*m. Let p = -24 - -12. Let b = -7 - p. Calculate the remainder when u is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:45 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(-1 + 3 - 3) + 3 + 1 - 6 + 0 - 1 + 0 - 4 + 2 + 4)*(-h**3 + h + 0*h - h**3).\nAnswer: 4*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/18)\/((-2)\/(-15)). Suppose 4*u - 6 = 2*x, 0 = 2*u + 2*x - 5*x - r. Sort 5, -2, u.\nAnswer: -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 8:43 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 9:25 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 7*k - 4. Let y be a(-3). Suppose 0 = -3*i - 4*w - 16, 0 = -0*i + 2*i + 2*w + y. Solve -2*f - 4*c = 24, i*c = -3*f + 2*c + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(2)*-2)\/(sqrt(9) + (sqrt(18)\/sqrt(2) - sqrt(9))*6) + 3*(2 + (sqrt(125))**2 + sqrt(5) - (sqrt(15)\/sqrt(3) + -4)**2).\nAnswer: 25*sqrt(5) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*z = -7, 0 = 2*q - 5*q + 4*z - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 32*p - 2. Let s be k(2). Suppose 4*h = s - 10. What is the highest common divisor of h and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4091 + -4089. Solve p*c = 5*c - 3*u, -3*c + 4*u = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = -5*c + 29, -4*c = -4. Let t(l) = -2*l**2 - l + 12*l**2 + 6*l - i*l**2 + 1. Let u(p) = -p + 3. Let q be u(7). Determine t(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(540)*2)\/sqrt(12))\/(4*sqrt(27)))\/(sqrt(75)*5 + sqrt(108)*3).\nAnswer: sqrt(5)\/258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 12 + 63. Suppose 3*f + 2*x = 61, m = 2*f + 3*f - 2*x. Let h = 81 - f. Calculate the highest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69341408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a = -42. Let f be (-23)\/(-7) - (-4)\/a. Let g(z) = z - 3. Let i(t) = -3*t + 7. Let m(u) = -5*g(u) - 2*i(u). Calculate m(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 10. What is g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1280 and 6960?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6822 or 20?\nAnswer: -6822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -804, -793, -814, -879, -1000?\n\"Answer: -2*u**3 - 4*u**2 + 37*u - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 985680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3.027185, 0.5 in decreasing order.\nAnswer: 0.5, -0.2, -3.027185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:52 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2203 + 2205)*(-14 + 1 - (1 + 1))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14301514697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 9*g**2 + g + 7. Let m be k(9). Let f = m + -3. Let t(z) = -z**2 + 13*z + 6. Let j be t(f). Do j and 6 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((84\/16)\/7)\/((-90)\/(-48))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m*m**(-1\/5)*m*m*m**(-4\/3)*m)\/(m**(-2\/13)*m**(-7)) assuming m is positive.\nAnswer: m**(2461\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r**3 + 57*r**3 - 177*r**3 + 58*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 4)*(-15*i**2 + 15*i**2 - 6*i**3) - i**2 + 4*i**3 + i**2.\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 11. Let h(g) = -7*g - 3. Is h(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**4\/10 + 154*s**3\/15 + 296*s**2\/5 + 584*s\/5 + 3807. Factor a(d).\nAnswer: 2*(d + 2)**2*(d + 73)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*m + 182*m - 1 = -2*a, 0 = -3*m - 4*a + 5. Solve -10*y - 2*y = m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35362494*l**3*n*v**2 + 404*l**3*n + 2*l**3*v + 5*l**2*n*v + l**2*n - 4*l**2*v**2 - 56*l**2*v - 7*n*v wrt v?\nAnswer: 70724988*l**3*n - 8*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492, 5, 15, -7, -4 in decreasing order.\nAnswer: 15, 5, -4, -7, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60776702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (480\/(-1280))\/((-5)\/80). Suppose 2*q = -5*o - 0*q + 266, 5*o - 2*q = 274. Let d = o + -36. Calculate the greatest common divisor of i and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 3*x + 15. Let f = x + 1. What is the second derivative of -3*l**f - 2*l - 2*l + 4*l**4 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6))**(-6\/13)*(n**(2\/7))**13 assuming n is positive.\nAnswer: n**(590\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -3 + -58)*7\/(-14). Suppose -z = -2*q - 22. Calculate the remainder when 98 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 2:56 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (7 + -2 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1128 + -1128.000799. What is n rounded to five dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111489.15647486 + -1.13937486. Let j = -111422 + f. Let q = j - 66. Round q to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b - b + (-2 + 2 + b)*(-1 + 0 + 4) + 0*b - 5*b + 3*b)*(12 + 4 - 3) - 3*b - 2*b + 4*b - 2 + 2 + 2*b + (2 - 3 + 0)*(-2*b - 2 + 2) + 0*b - b + 0*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 1 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -b + d, b + b - 3*d = 16. Suppose -5*m - 205 = -3*k, -3*m = b*k - 71 - 72. Suppose 2*i - 4*i = -k. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*l - 8 = 3*l, 0 = -3*o + 5*l + 20. Suppose o*y - 7*y = -58. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t\/(t\/(t\/(t\/(t*t*t*t**(-4)\/t))))*t))\/t*t*t**(-9))**(-4\/9) assuming t is positive.\nAnswer: t**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*c - 6 + 4 = 0, -c - 4 = r. Suppose 24*h = 27 - 3. What is the smallest value in -1, -2\/7, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2383*v = 2292*v + 1456 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 2. Let n = 1 - 20. Let l be x(n). What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uulr when four letters picked without replacement from {u: 5, l: 2, r: 9}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1245*i - 1 - 1013*i + 123*i.\nAnswer: -2135*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/19)\/((-3)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a + 91. Calculate p(-13).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133\/30 - -23\/5. Suppose 5*r - 2*z + 24 = 0, r - 1 = -4*z + 3. Let a(h) = h - 3. Let c be a(0). What is the third biggest value in c, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10727165 = 138*w + 10732961 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 6*s**2 - 6. Let d be r(6). Let w(o) = -5 - 2*o - o**2 - 4*o - 3*o. What is the remainder when w(d) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125003 (base 7) to base 2.\nAnswer: 101101100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319988741?\nAnswer: 97, 3298853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35\/2 - 173\/14. Let n = w - 32\/7. Let v = 3.2 - 0.2. Put v, n, -1\/6 in descending order.\nAnswer: v, n, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -179, -160, -141?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27837775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -10 + -2 + (3 - 1) + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 7*f + 8. Let h be x(3). Is -21 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175089*h**2 + 175333*h**2 - 350732*h**2.\nAnswer: -310*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 6. Let w(p) be the third derivative of p**6\/120 + p**5\/12 + p**4\/8 + p**3\/2 + p**2. Give w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67725 (base 13) to base 2.\nAnswer: -101101111000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 31*h - 6*h + 11*h + 2.\nAnswer: 36*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7249087 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 5*r - 15. Let u be r\/24*(0 - 1). Let s = -8 + 12. What is the nearest to -1 in -4, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 36*o. Let y(w) be the third derivative of w**5\/30 + 71*w**3\/6 + 3*w**2 - 1. Let n(v) be the first derivative of y(v). Calculate n(b(a)).\nAnswer: 144*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 e when three letters picked without replacement from ssesosessssssssoos.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37410.58 greater than 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -331 - 24607?\nAnswer: -25140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6556\/261 + -722\/29. Sort -70, 0, p, 6.\nAnswer: -70, 0, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*r**2 + 3788048*r - 778844787.\nAnswer: 168*r + 3788048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 345 - 615. Let a = 264 + h. Let o(k) be the first derivative of -k**2\/2 + k - 1. Calculate o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - 2*k + 4*k - 562*k**2 - 127*k**2.\nAnswer: k**3 - 689*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 226, -26, -454, -1064, -1862, -2854, -4046?\n\"Answer: -l**3 - 82*l**2 + l + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 830\/2 + 6\/2. Suppose -44 = -57*o + 53*o. Calculate the highest common factor of o and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 15 = -7*l. What is the units digit of 36 + (3 + 0 - l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 541, 542?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -37*t**2 + 418*t + 3. Let h be d(7). What is the greatest common factor of h and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4296)\/40275*(-3)\/(-2))\/(2\/15)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 828 + -832. Sort -40, -0.3, c, -0.4 in decreasing order.\nAnswer: -0.3, -0.4, c, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4332, -17268, -38830, -69018, -107832, -155272, -211338?\n\"Answer: -4313*g**2 + 3*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/244 and 79\/92376.\nAnswer: 5634936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5986, 5, -3 in decreasing order.\nAnswer: 5986, 5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**(1\/3))*l))\/(l**5*l*l))**(-1\/17) assuming l is positive.\nAnswer: l**(22\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662833713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7.4508 (b) -17 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -371.9 - -372. What is the second smallest value in 3, l, -0.4, 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 140, -0.046.\nAnswer: -2\/15, -0.046, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/53? (a) 8 (b) 3 (c) -0.5 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 42, -4\/1767, 1, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337617 is divided by 340.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 4) to base 13.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j + 294 = 0. Suppose 2*k - 5*k = -j. Let u(n) = 5*n - 6. Let s be u(4). Calculate the highest common divisor of k and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/6 - p**3 - 8*p. What is the smallest common multiple of 7 and c(4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2. Let u(z) = 8*z**2 - 5*z - 5. Let r(l) = -8 - 2*l**2 - 15*l**2 + 12*l + 20 - 3*l**2. Let k(j) = 5*r(j) + 12*u(j). What is i(k(t))?\nAnswer: 48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 535908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -5*r**4\/24 - 5*r**2. Let j(z) be the second derivative of -z**3 + 10*z. Give j(o(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 8879*o**2\/2 - 78836641*o\/4.\nAnswer: -o*(o + 8879)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905 a factor of 734767414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -130432 - 1?\nAnswer: -130433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126.24052128944 - 7773618.26975771056. Let q = v - -7773740. Let l = 4.51 + q. What is l rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4167 (base 15) to base 6\nAnswer: -143554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 8:10 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + (-9 - -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, -96 in descending order.\nAnswer: 5, -26, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0 + 4. Let s = -7657\/1962 + 3\/218. What is the common denominator of s and 412\/96 - a\/6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 4 (b) -0.05 (c) -3 (d) -3\/2 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1174 divided by 1.\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 2*u**2 - 2*u**3 + 6*u**2 - 50163*u + 50173*u.\nAnswer: -2*(u - 3)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -598520*o**2*y**4 - 290591*o**2 - 20*o + 3*y**4 wrt y.\nAnswer: -2394080*o**2*y**3 + 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3597 divide 323780358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -8*y - 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 + 20. Let g = c + 246. What is the closest to -2\/7 in -1, 5\/6, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0 + 20 = 0. Suppose r*c = -8, 3*i - 3*c = 2*i + 82. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 + 0*k**2 + k**2 - 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**2 + 15*w + 165. Is j(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -54. Calculate the greatest common divisor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 97100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*9*6\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -66 + (-75)\/(2100\/(-616)) + (-6)\/(-2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(80) + 1 + -5.\nAnswer: -8 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 115435816, 115435827, 115435838, 115435849, 115435860?\n\"Answer: 11*u + 115435805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 10:12 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0496 + -3.9504. Sort 0.08, 2, h, 1 in increasing order.\nAnswer: h, 0.08, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*m**2 - 10\/3 + 3\/2*m.\nAnswer: -(m - 5)*(m - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 3*n + 0*n)*(5*n - 3*n + 0*n) + n**2 - 2*n**2 - n**2 + (3*n - 3*n - 2*n)*(-4*n + 3*n + 3*n) - 2*n**2 + n - n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04757982 - -0.047107. What is p rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*i - 3*y, 4*y - 14 = -5*i. Let s(k) = 3*k**3 + 2. Let c(w) = 19*w**3 + 13. What is i*c(z) - 39*s(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 944186040 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrqqrqq. What is prob of sequence rrqq?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**6\/20 - 4*w**3\/3 + 2*w**2 - 10. Let n(c) be the second derivative of k(c). Find the first derivative of n(j) wrt j.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, g: 1, x: 1, s: 1, k: 1}. Give prob of sequence kgcs.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let v(o) = -10*o**2 + 49. Determine v(t(x)).\nAnswer: -40*x**4 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905*g + 32 = -897*g. Let t(c) be the second derivative of 11*c**3\/6 - c. Let u be t(1). Solve -d = g*d + 4*a + 17, u = -d + 3*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - o - 4. Let d be c(3). Suppose -3*f = 2*f - 5. Let u = 94 + f. What is the greatest common divisor of u and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*b + 39 - 9 = 0, -48 = -2*j + 4*b. Let a = 184 + -104. Calculate the highest common divisor of a and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200279783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/11 - 334*x\/11 + 172716\/11 = 0.\nAnswer: -389, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48.6 in -5, 20\/267, 2\/23, 4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109983503 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*w - 20 + 25 = 0, 0 = 3*f - w + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.55046 + -87438246.93.\nAnswer: -87438247.48046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 + 1028. Suppose -5*w = -25, p + 3*w - x = -2*w. What are the prime factors of p?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207668305 is divided by 4409.\nAnswer: 4405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4\/32*(-60)\/5*1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 less than -3?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003327822 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = 13*u + 167497. What are the prime factors of (-1 - -4)*u\/(-45)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-128))\/(-5*1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x + 1 = 0, 5*f - 1 = -4*x. Let r(l) = -3218*l + 212. Let s(j) = -169*j + 11. Let n(t) = 2*r(t) - 39*s(t). What are the prime factors of n(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8786*j**4 + 5*j**2 - 146*j - 19.\nAnswer: -210864*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/2*2\/(-20). Let w = -2885 + 2885.1. Let c = 4 + -13\/3. Sort c, w, l.\nAnswer: c, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + 0. Calculate the highest common divisor of j and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 6, y: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.91693 + 0.08307. Let u = -4.6 - -5. Let g = -5 + 5.3. What is the closest to g in r, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -36, -12 in ascending order.\nAnswer: -36, -12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(11) + sqrt(176)) - (sqrt(11) - (0 + -2*sqrt(11))).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - 355?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 3.3. Which is the nearest to 0.1? (a) 0 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, v: 2}. Give prob of picking 3 h and 1 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 3)*(9*d - 7*d - 5*d)*(-5 + 2 + 6).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 3. Let i be j(0). Suppose i*r = 29 - 5. Suppose -x + r = -5. Calculate the highest common factor of x and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}