diff --git "a/data/dm_maths/full_data_1/1944_11255.jsonl" "b/data/dm_maths/full_data_1/1944_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1944_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {x: 1, p: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2865, 2858, 2845, 2820, 2777, 2710, 2613, 2480?\nAnswer: 2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*k**5\/15 - 6*k**4 + 266*k**3\/15 + 24*k**2\/5 - 8*k\/3 = 0. Calculate k.\nAnswer: -5, -1\/2, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/(-10) - (5 + (-54)\/12). Which is the smallest value? (a) 0.46 (b) p (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-25)\/4)\/5)\/((-8)\/32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*i - 1037 = -118, 3*i + 549 = -3*y. Calculate the common denominator of 2 + (-2)\/(-3)*y\/198 and -131\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:57 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w + 288341 = 720073. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 304147884 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**3 + 2*u**2 + 19*u - 7. Let j(o) = -19*o**3 - 5*o**2 - 37*o + 13. What is -5*b(i) - 2*j(i)?\nAnswer: -2*i**3 - 21*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 0, -433, -3, -0.032, 20 in descending order.\nAnswer: 20, 3, 0, -0.032, -1, -3, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -g + 9, 4*g + 4 + 2 = j. Let q(u) = 0 - 22*u**2 + 0 + 29*u**j. Let b(p) = 2*p**2. Calculate b(q(w)).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.115 (b) 6\/11 (c) -0.5 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 6*y + 12. Suppose -130 = y*m - 4*m. Let s = 111 + m. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*q + v = -298*q + 2, -4*q - 6 = -3*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8321 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, e: 4, i: 9}. Give prob of picking 1 u, 1 i, and 1 e.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(70\/(-16))*100\/40\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398857 times 0.1?\nAnswer: 39885.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -691488*z - 5541083 wrt z?\nAnswer: -691488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/700)\/(1\/(-91))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2175, 17127, 57647, 136521, 266535, 460475, 731127, 1091277?\n\"Answer: 2131*c**3 - 2*c**2 + 41*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013933713 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 + 16*x + 8. Let k(a) = 5*a**2 - 23*a - 11. Let u(d) = -5*k(d) - 7*q(d). Let m(w) = w**2 + w. What is -10*m(o) + 4*u(o)?\nAnswer: 2*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-16))\/(216\/(-288))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4308?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-20) + 0)*((-846)\/(-189) - 4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 18, 49 = 5*n + 5*x + 54. Sort 2, n, -6, -10 in ascending order.\nAnswer: -10, -6, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from uuveeevvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (34 + 4 - 25)) + (2 - 0 - 28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4864 - -4863.7. What is the closest to 1\/6 in 5, y, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(1 - 2 - -2). Let a be 2 - (0\/q)\/2. Suppose -1 - 3 = -a*y. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+5256925.351252\nAnswer: 5256925.351252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:44 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*n - 3409 = -797, g + n = 653. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-28)\/10 + (-1216)\/(-480))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*d - 2*d - 25 = 0, r + 5 = 3*d. Suppose 6*c - c = r. Suppose -x - 23 = 2*x - 4*s, -8 = 3*x - s. Sort 3, x, c in ascending order.\nAnswer: x, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 364608515629\nAnswer: -364608515634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 + -43. Let p = -3 - 0. Let w be (-6)\/4*8\/p. Solve 0 = b + w*b - s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4107 (base 9) to base 7.\nAnswer: -11521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t + 5. Let j(l) = 52*l - 32. Suppose 228 = -3*u - 4*i, 5*i - 57 = -3*u + 4*u. Let z = 67 + u. Determine z*j(k) - 32*v(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqh when three letters picked without replacement from {q: 1, f: 2, e: 3, h: 4, a: 4, p: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -375920*c*u + 13371*u - 1 wrt c?\nAnswer: -375920*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3310, -3305, -3302, -3301, -3302, -3305, -3310?\nAnswer: -3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.2. Let j = n - 13.8. Let z = j - -11. What is the third biggest value in 2\/7, z, -4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.253 + -1.111. Round y to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 447*n**2 - 5*n. Let b(u) = 4470*u**2 - 52*u + 1. What is -2*b(m) + 21*y(m)?\nAnswer: 447*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2317 - -2314. Which is the nearest to 4? (a) 21\/8 (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*0 + 81. Suppose 3*q - 8 = 4*q. Let k(s) = s + 17. Let n be k(q). Calculate the greatest common divisor of n and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 7, -2\/3, 0.4, 0.56, 0.48?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 284260497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -3, -2\/71?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 121737?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/7 - 234*a**3\/7 - 3400*a**2\/7.\nAnswer: -2*a**2*(a + 17)*(a + 100)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) - (-15)\/9. Let f = -2 + g. Differentiate -t - 3 + 2 + f*t - 3 with respect to t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-2)\/(-13) + 28\/(-13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33698230 rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2948*b - 60 = -2951*b. Let w be (4\/(-6))\/(1\/(-6)). What is the greatest common factor of b and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10 + -6 + (5 - 0).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j + 11*j = 250 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 1:09 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 10*a + 1465. Let d = -446 + 750. Suppose a = 3*o - d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 8. Let j be v(6). Let a(l) = -l - 1 + 0 + j*l. Let t be a(1). Solve t = 3*q - 2*g - 10, 3*q + 2*g + 14 = 8*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215160 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13494 by 6.\nAnswer: -2249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*k + 5*v + 7, 0 = v + 3. Suppose -5*u = -p - 18, -u + p = k*u - 10. Solve -s + 15 = -u*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {t: 4, w: 4, a: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -232 - -393. What are the prime factors of x?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(170) - (sqrt(170) - -2*sqrt(170)*1)))\/(sqrt(30)\/(-1*sqrt(108))).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1347400 and 400?\nAnswer: 2694800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 50 = -409. Suppose -2*z - v + 86 = -185, 0 = -z + 3*v + k. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1400.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00158916 to six dps.\nAnswer: -0.001589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 88*r. What is the units digit of q(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42937*y**2 - 8615*y**2 + 15223*y**2 - 51106*y**2.\nAnswer: -87435*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49583 - -97443. Suppose -35*b + s = -15*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -2*z - 2, -3*z + 8 = 4*i + z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (13 + 8 + 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121460, 243013, 364566, 486119, 607672, 729225?\nAnswer: 850778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -830 * 1305\nAnswer: -1083150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -18. Let h be (-1 + 4)*(s + (-2)\/10). Let x = 182 - 1636\/9. What is the third biggest value in h, -2\/7, 2\/3, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.8391 + -1.1609. Sort 0.2, 2, m in increasing order.\nAnswer: m, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -811, -809, -807?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 - 220. Let n(i) be the second derivative of b + 0*i**4 + 0*i**3 - 1\/4*i**5 + 3*i + 5\/2*i**2. Find the first derivative of n(d) wrt d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162151\/276 - 1175\/2. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2412410 (base 7) to base 15\nAnswer: 6092b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10213 + 1402?\nAnswer: 12015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, 562, 0.1, -133, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(20) + sqrt(80))**2*1 + (4 + -1*sqrt(5) + sqrt(5)*2*2)**2.\nAnswer: -36*sqrt(5) + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3676393901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -73867296 and 0.2582.\nAnswer: -73867295.7418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -4*v - 61. Suppose 0 = 16*r - 2*r + 462. Is r > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 15*z**2 + 9*z - 11. Let p be m(7). Find the second derivative of -51*x**3 + 166*x - 171 - 30*x**p + 348 - 177 wrt x.\nAnswer: -486*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/12 - 3\/(-72)*-20. Let r be (-6)\/4*4\/3. Calculate the common denominator of 17\/2 and (z + (-4)\/r)*-39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354 (base 7) to base 13.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*y + 33, -5*v + 2*y - 19 - 24 = 0. Let w = -7 - v. Suppose w = 2*m - 3*m + 8. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1010211021100112?\nAnswer: -1010211021100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 47*c**2 + 4*c. Let t be m(1). Factor -36*p**3 - 162*p**4 - t*p**3 - 10*p + 64*p**2 + 2*p + 0*p**3 - 3*p**3.\nAnswer: -2*p*(p + 1)*(9*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12257003*-0.04.\nAnswer: -490280.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155857.1 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31333232 (base 4) to base 8.\nAnswer: -157756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, -16, -80?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - (-44)\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 6:48 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/28710 and -38\/94743?\nAnswer: 947430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 92*o**2 - 32.\nAnswer: 92*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 73*z + 18*z)*(6 - 2 - 3)*(z - 3 + 3)*(1 - 1 + 1).\nAnswer: -51*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.47 + 9.47. Put w, -0.2, 57 in decreasing order.\nAnswer: 57, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33491 is divided by 4166?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*w - 7*w + 245 = 0, -4*w - 25 = -u. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19644913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -934. Let y = -102 + o. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in -3\/5, 3, 1, 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 287908262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14632 + 210?\nAnswer: -14422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1364*j**3 + 3948*j - 47684095 wrt j.\nAnswer: 4092*j**2 + 3948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 14 + -106 + 115\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okk when three letters picked without replacement from {o: 3, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*i - 6 = 10*i - 13*i, -386*i = 2846 + 1400 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 + 232. Which is greater: 3\/8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 230*i**2 + 496*i - 9114. Calculate o(228).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 35 = -10*p + 51*d, -p + 5*d = 19 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 206535 and -9.61001.\nAnswer: 206525.38999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 0.64481 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5326, 5327, 5338, 5365, 5414, 5491, 5602, 5753?\nAnswer: 5950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + (-35)\/(-10))\/((-1)\/18). Solve -2*c = -1 + j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 8?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5 - 4. Suppose -33*n + 36*n - 12 = 0. Factor 5*y**3 + 16*y**n + 13*y**3 + 8*y**2 - 7*y**3 + 9*y**c + 4*y**5.\nAnswer: 4*y**2*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.7 * -4\nAnswer: 54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11059894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 182. What is the greatest common divisor of h and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11818644?\nAnswer: 2, 3, 59, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b + 1. Let k(x) = x**2 - 7*x + 11. Let g be k(6). Give d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153379877 - 1.37\nAnswer: 153379875.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*s + 5, -2*m = -3*m - 3*s - 4. Suppose -3*z + z = -6. Solve -a - m*x + 4*x - z = 0, a + 5 = -2*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15373957 and 662.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**12)\/((h*h**(-3\/29))\/h)*(h**10*h)\/(h\/h**18))**(1\/15) assuming h is positive.\nAnswer: h**(554\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348*f - 2678*f + 107*f**2 + 1330*f.\nAnswer: 107*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4\/3*v - 1\/6*v**2 + 1\/6*v**4 - 4\/3*v**3 + 0 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 401*r + 3087. What are the prime factors of v(30)?\nAnswer: 3, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -281*i + 549*i - 3752 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 18 = 3*o, 35 = 4*v + v - 5*o. Let g = -15 - -12. Let p be -1*g\/v + -2. Is p equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1. Let s(w) = w. Let m(b) = 5*j(b) + s(b). Suppose v + 10*v + 7*v = 0. Let n be m(v). Do n and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/13 + 20270*z**2\/13 - 15145932*z\/13 = 0.\nAnswer: -10834, 0, 699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 1. Let v be 8\/(-54)*(-2)\/8. Let k = -31\/108 + v. Put 1, s, k in descending order.\nAnswer: 1, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l + 3*l - 40. What is the greatest common divisor of 18 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/4 + 8936650*s - 79863713222500 = 0.\nAnswer: 17873300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 32, 19, 2, -19?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28072 (base 9) to base 10\nAnswer: -19019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g + 1. Let v(x) = 16875*x**2 + x + 27. Determine v(z(m)).\nAnswer: 421875*m**2 + 168755*m + 16903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 + 2 - 5*q**2 - 1 - 3 to the form i + d*q**2 + c*q and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.44 - -0.06. Let r = q + -4.5. Let s = -4 - r. Which is smaller: s or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**27*p**(5\/2))\/(p*p\/(p\/((p*p**(-2\/27)\/p*p)\/p))*p\/p**(2\/47)*p) assuming p is positive.\nAnswer: p**(67553\/2538)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/2)\/(((-2870)\/(-82))\/140)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 4*c**3 + 3*c**4 - c**2 + 5*c - 4*c - 2*c**4.\nAnswer: c*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315743 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 328*j - 108*j - 110*j + 2*j**4 - 4*j**2 - 101*j to g*j**3 + s*j**4 + p*j + w + u*j**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 6432896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -439 + 493. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*g - 14, -2*k - 3*g - 11 = 3*k. List the prime factors of k*(0 + 3 - 22).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.3. Let m = 32.1 + 3.9. Let q = m + -36.1. Which is the smallest value? (a) n (b) 2\/15 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -74. Find the common denominator of 4924\/(-572) + z\/(-13) + 4 and 36 - 1\/(-2 + 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(847)) + (sqrt(847) - (sqrt(847) + 1))**2 + sqrt(847) + 2.\nAnswer: 18 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0588744339 and 0.2?\nAnswer: 0.01177488678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 - r**4 + 5*r**4)*(0*r + 0*r - r) - 2*r**4 - 3*r**5 + 2*r**4 + (2 - 12 - 5)*(4*r**5 - 4*r**5 + 10*r**5).\nAnswer: -154*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 18 = -0. Let x = -0.15 - -0.05. Which is the nearest to k? (a) 4 (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10 = 2*i - 5*o, 2*o - 2 = 5*i. Let a be 4*i\/(-16)*6. Suppose 7 - 19 = a*t. Let y(w) = w - 4. What is y(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.205 - -0.5\nAnswer: -8.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6355*o - 1896 = -17685 - 28696 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + -1 - (-18 + 85 - 4))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-25) - 36\/(-65). Let p be (5\/(-10))\/((-14)\/(-4)). Which is the closest to -2? (a) m (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*s - 252, s + 184 + 107 = 5*q. Suppose -5*n + 155 = 5*m, -5*n = -3*n - m - q. Is 29 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 264*h**2 - 538*h + 12. Give k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 4*q**2 + (4*q + 0*q - 2*q)*(-5*q + 3*q + q) + 2*q**2 - 2*q - 4*q**2 - q**2.\nAnswer: -9*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/4 - 17*b**4\/4 + 87*b**3\/4 - 91*b**2\/4 - 49*b.\nAnswer: b*(b - 7)**2*(b - 4)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 + 22*t - 4530943 + 4530943 in the form l*t**2 + u + n*t and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5583*v - 7831 + 55631 = 5563*v. Does -2388 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1548 and 11262474?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 2\/7 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3. Let u = 103 + -86. Suppose -12*a - 7 = u. Let l(x) = -x**3. Determine a*s(r) + 7*l(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - l**2 - 5*l**2)*(-287 + 567 - 288).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*r**2 - 27*f**2*r**2 + 99*r**2 wrt f.\nAnswer: 6*f**2*r**2 - 54*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7227\/26 + -278. Let g = 8\/39 + q. What is the closest to -0.02 in -5, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362683977 to the nearest integer?\nAnswer: 19044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001111110 + 110?\nAnswer: -11001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34189757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2. Suppose 0*u = 3*u - 6. Let n(y) = -2*y + 16*y**u + 2*y + 29*y**2. What is n(k(c))?\nAnswer: 45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5}. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 + 6*b**2 + 7*b**2)*(6*b + 1 - 1) in the form m*b**2 + g*b + p + k*b**3 and give k.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 - 5 = 0. Suppose -4*p - 2*m - m = -12, c*p - 2*m = -8. Factor 4*f**2 - f - 5*f**2 + 0*f + f**3 + 1 + p*f**3.\nAnswer: (f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369967522 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + 0 - -93)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 1\/20*h**5 + 0*h**3 + 0 + 0*h**6 + 2*h**2 + 0*h**7 + 0*h + 0*h**4 + 1\/168*h**8. What is the third derivative of g(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3\/2, 5.621, 1\/4, 0.194, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 5\/28, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.155197 and 0.62.\nAnswer: -0.09622214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.928 - -16.072. Sort -3\/40, -4, -0.5, v, 2\/11.\nAnswer: -4, -0.5, -3\/40, 2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*w + 20, 335199*t = -2*w + 335198*t - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 810 = -2*u. Suppose 3*d - 266 = 2*r - 6*r, 4*r - u = -5*d. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/4*q**3 + 1\/2 + 3\/4*q - 9\/4*q**4 - 21\/4*q**2.\nAnswer: -(q - 1)**3*(9*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -25654.\nAnswer: -102616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*i = y - 942, -5*i = 3*y - 974. List the prime factors of y.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 p, and 1 i when four letters picked without replacement from pviipvvp.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98432 and 11358130?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -12*o - 22. Let b(i) = -4*i - 7. Let y(h) = -7*b(h) + 2*z(h). What is the first derivative of y(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800) + (sqrt(1800) - sqrt(1800)*-2) + sqrt(18) - sqrt(162)*2)*4)\/(sqrt(63)\/(sqrt(14)\/sqrt(2)) - 3*sqrt(36)).\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -672, -674, -676, -678?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -34*a - 39. Is 3 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 12:35 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/6 - (-14)\/12. Let c be 4 - (-3 - r\/(-1)). Suppose -4*f - c = -22, 2*f = 2*n + 4. Calculate the greatest common factor of 3 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - 1. Let t be ((-13)\/26)\/(1\/(-2)). What is the second biggest value in -2, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/406586651 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd37 + d49?\nAnswer: 10c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2239*k - 23465 + 4125 = 54068 + 27347 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 24*j - 4. Let z(i) = -28*i + 121. Let x be z(4). Let g be v(x). What is the greatest common divisor of g and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 834.09996027 - 834.1. What is l rounded to 6 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*319*(-5)\/(-715).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 41c06?\nAnswer: -41c0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 2*y + (1 - 3 + 10)*(4 - 4 + 2*y) + (0 + 0 - 2*y)*(4 - 1 - 1) + (-5*y + 5*y - y)*(4 - 4 - 1) to the form u + p*y and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32328187*o*x**2 + 593436*x**2 + 8*x wrt o.\nAnswer: -32328187*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9573503 millennia to months.\nAnswer: 11488.2036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7572000 to the nearest one hundred thousand.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -21109984\/39 at least as big as -541283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -55*t - 1. Let r(u) = -749266*u**2. What is f(r(s))?\nAnswer: 41209630*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -24) + -52 + (20 - 3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -53*k**2 + 383*k - 23. What is t(7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 5*r - 7*r. Suppose 6*g - 6 = 6. Let b(z) = 0*z**2 - 15*z**2 + 7*z**g. What is b(q(m))?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - k + 4 = -4*k, 2*h = -5*k - 4. Suppose 10*y - 2304 + 2294 = 0. Put -1, h, y in decreasing order.\nAnswer: h, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) - (sqrt(110) - (sqrt(110) + sqrt(110)*-1*-1))) + sqrt(110)*-2*4 + sqrt(110) + sqrt(110))\/(sqrt(100)\/(3*sqrt(10))*-2).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33650773*t**5 - 3*t**2 + 4539503*t wrt t.\nAnswer: -2019046380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4746 + 291 = -27*d. Calculate the highest common factor of 99 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/15 - q**4\/12 + q**3\/3 + q**2. Calculate the remainder when -4*(-10 + 0\/1) is divided by s(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 - 3*m + 1. Let t be z(1). List the prime factors of (-1081)\/(-8) - t\/(-48).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2300 + -1043?\nAnswer: -3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(7\/56*-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14443.4+690\nAnswer: 15133.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.809 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.85 - -0.91. Which is the closest to -2\/3? (a) j (b) -1\/2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -1.4 (b) -13 (c) -92.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 3\/2 (b) -5 (c) -0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108416 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*f + 5807, m - 4*f = -3*m + 4652. Calculate the remainder when m is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 + 438. Calculate the highest common divisor of f and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:52 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3 and -11\/32737592.\nAnswer: 98212776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79326049 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28 + -4)*2\/1. What are the prime factors of (y\/15)\/(2\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1004287305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 683084 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -66679*5937\nAnswer: -395873223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plp when three letters picked without replacement from {s: 5, l: 1, f: 1, t: 3, p: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 > -92130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**4\/12 + j**3\/6 + j**2\/2 + 7*j. Let u(f) = 5*f**2 + 4*f + 8. Give -6*d(g) + u(g).\nAnswer: -g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = q - 14, -3*q - 5 = -4*n + 3. Suppose 2*j = -n*c + 45573, 5*j = -c + j + 9129. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 183*(-17)\/255)*-15\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - x**2 + 5)*(670 + 56*x - 670)*(417 - 417 - 14*x) in the form m*x**4 + k*x**2 + f + r*x + u*x**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 23*k**2 - 2*k + 1. Let f be l(1). Solve -2*o + 5*w = -26, -3*o - 5 = -2*w - f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -58, -1\/3, -6\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -8000139?\nAnswer: 8000138.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935 a factor of 192927240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {t: 2, a: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 671734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/144 + (-5)\/(-1960)*203?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 2*w + 2*w)*(0 + 4 - 2) + (0 + 0 - 2)*(3 - w - 3) - 8*w + 0*w - 2*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291150 is divided by 11757?\nAnswer: 8982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/((z\/(z*z*z**(3\/5)*z)*z)\/z*z))\/z)\/(z**5\/z))\/(((z**(-3\/2)\/z)\/z)\/(z*z**(-7)\/z)))**(-1\/18) assuming z is positive.\nAnswer: z**(59\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*p + 22409 = -6693, -5*j + 72755 = 3*p. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 672\/18816*(2827 - -1).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250233.\nAnswer: 3, 239, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6939238?\nAnswer: 2, 23, 61, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 52*h**2 - 107*h + 46. What is the units digit of s(-50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 6*b**2 + 0*b**3 + 0*b**6 + 0*b**4 + 5\/168*b**8 + 1\/60*b**5 + 0*b + 0 + 0*b**7. What is the third derivative of j(m) wrt m?\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 10. Let v = r + 0. What is the second derivative of v*d + 5*d**4 - 5*d**4 + d**4 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314634.6g in nanograms?\nAnswer: 314634600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-71)\/(-5))\/(1894\/52085*(-2 + (-6)\/8))?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z - 12. Suppose 0*f - 2 = -2*x - 3*f, -10 = -3*x - f. Calculate a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2234 - 2234.632. Round h to two decimal places.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 88. Suppose m = -3*i + 898. Factor -12*r**4 + 9*r**2 + 284*r**3 + 3*r - i*r**3.\nAnswer: -3*r*(r - 1)*(2*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/60 + g**4\/3 - 2*g**3\/3 + 107*g**2 - 2. Let v(o) = 2*o - 4. Let d be v(4). Let p = 0 + d. Give t(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.37 - 0.87. Let c = 1.884 + -2.884. Put n, 3, c in decreasing order.\nAnswer: 3, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2436 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 33. Which is smaller: -18 or c?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*k - 0*k + 25, -3*v + 43 = 2*k. Let y = v - 10. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219 + -214. Solve -2*b = 6, f*a + 0 = -b - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 982336 + 7?\nAnswer: 982343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.1887, -1\/42?\nAnswer: -0.1887","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000778 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 13390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0273 + -69470.94\nAnswer: -69470.9127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 84*x + 496\/3.\nAnswer: 2*(x + 2)*(x + 124)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-138)*(-1 - 15\/(-9))*99\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108)\/12*8\/(-6). What is the units digit of 2864\/l + (0 - 8\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 10*l + 2. Let r be p(-10). Find the third derivative of 16*c**6 + r*c**2 - 9*c**6 - 12*c**6 wrt c.\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2362*n**2 + 2871*n**2 - 481*n**2 as s*n**2 + p + w*n and give s.\nAnswer: 4752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12010323331 (base 4) in base 10?\nAnswer: 1593085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 89335810.\nAnswer: 89335809.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-90) - (-14)\/105?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*m + 13 = -251, 0 = 5*h + 3*m - 480. Suppose 4*w = 3*w + h. List the prime factors of w.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19892577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 52. Suppose f = b + 9, 4*b - f = -3*f - 42. Let u = -7 - b. What is the closest to -1 in u, r, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 11775089\nAnswer: -5\/11775089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -92, 214, 634, 1162?\nAnswer: 1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 852\/33*134\/(-2144) + (-5)\/(-4).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 9 + 33. Calculate the remainder when r is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - (sqrt(360)*-3 - sqrt(40)))\/sqrt(8).\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 777 + -732. Suppose -35 = f - j. Let h(k) = -k. Give h(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1714505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28478034, 28478052, 28478090, 28478154, 28478250?\n\"Answer: d**3 + 4*d**2 - d + 28478030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 - 4*d**2 - 2*d + 3. Let i be (-5 - -4) + 1 + -5. Let h be g(i). Suppose 4*v + 2*t - h = v, -4*v - t + 559 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -128950, -129078, -129294, -129598, -129990, -130470, -131038?\n\"Answer: -44*t**2 + 4*t - 128910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 2) to base 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -5) + (13 - (8 + -4)) + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*l**2 + 61*l**2 - 127*l**2 + 33*l + 172 - 170 in the form f*l + r + v*l**2 and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 14. Let l(s) = s**3 + s**2 + s - 1. Let u(q) = -6*q**3 + 3*q**2 - 6*q + 3. Let z(o) = v*l(o) - u(o). Factor z(x).\nAnswer: 3*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 4. Let n(o) = 2. What is 7*n(s) + 3*u(s)?\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q**2 - 13*q - 37. What is the remainder when v(5) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -4\/3*s**3 + 0*s**2 - 6*s + 0. Let b(l) = 2*l**2. What is b(f(k))?\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3416505 and 525561?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 254272823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 465737 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1666 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 70 + -70 + (-96)\/(-600)*(-1)\/(6\/105)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**2 + 548*z + 7328. Give f(-13).\nAnswer: -1486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = 0, 49*q = 50*q - p - 57. Solve q = -4*n + 42 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 543540512?\nAnswer: 543540520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -58*177\nAnswer: -10266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 - -1. Which is the closest to 2? (a) m (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 104, -5, 3, 22, -0.068?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176 - 142.6. Let o = -33 + z. What is the fourth smallest value in 5\/3, 4, 1, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*q**3 - 112785*q**2 - 64460*q.\nAnswer: 5*q*(q - 3223)*(7*q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + q - 6. Suppose -3*j + 4*p + 7 = 0, -p + 0*p - 23 = -5*j. Does 6 divide o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43664314 - -6.\nAnswer: -43664308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -4 - (12 + 3 + -10990019). What is k rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5485672 and 608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**3 - i**2 - 2*i - 1. Let p(n) = 221*n - 98. Let x be p(-2). Let o = -538 - x. What is q(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 21*i - 42. Let o be a(-18). Solve -c = 2*c - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -171*j + 170*j + 0 + 0. Let y(k) = 3*k. What is y(t(h))?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 520 + -520. Suppose -3*w - 24*w + 205443 = l. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*55\/(-33).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42312 (base 6) in base 9?\nAnswer: 7768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 18*l - 84. Suppose 5*p - 23 = 3*q, 0 = 8*p - 6*p - 4*q - l. Solve -2*n + 3*j - 5 = -p*n, j = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r + h = 200, 3*h + 212 = r. Suppose -x - r = -433. What is the highest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - -862?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 913 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -21*1*(-1)\/3. Let d(r) = 0*r + 6*r + 5 - q*r - 2. Let w be d(5). Is 1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52339.54 nanometers to micrometers.\nAnswer: 52.33954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1658, 1659, 1660, 1661, 1662?\n\"Answer: q + 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13220 - 45*t + 13172 - 26352 to x + j*t and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 466*u - 214*u - 234*u. Solve -u*j - 29*j = -308 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -8*s + 34 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 4*b + 12. What is the lowest common multiple of 6 and (2\/(-5))\/(b\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -18*g - 13*g**2 + 4*g**6 + 9*g + 4 + 9*g. Find the second derivative of d(z) wrt z.\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14099958 - 33?\nAnswer: -14099991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z**2 + 2*z)*(-3*z + 3*z - z) - 5841 + 5841 - 394*z**3.\nAnswer: -392*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33337399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) + sqrt(121) + 2*sqrt(121) + sqrt(121)))\/sqrt(11))**2 + ((sqrt(11) + -2)*1)**2.\nAnswer: -4*sqrt(11) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + q - 36. Determine t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(3*(-4)\/59112). Is 2\/8 - (q\/(-16))\/1 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 43628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 6*o - o - 15, 4*o = 5*i + 3. Let t be i + (-26)\/8 + 2. Sort -0.5, 0, t in ascending order.\nAnswer: -0.5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*i**3 - i - 166?\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {v: 2, s: 1, c: 1, t: 1, u: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, -2\/17, -0.19, 0.1.\nAnswer: -0.19, -2\/17, -1\/20, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o - 2. Let r(z) = -7*z + 5. Let g(u) = 5*j(u) + 2*r(u). Let b(a) = 15*a - 2 - 3 + 5. Calculate g(b(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10893 = 5*u + w, u + 2*w - 2175 = -0*w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -482*m**3 - 61 + 479*m**3 + 240 + 3*m**2 to the form w*m**3 + g*m + x*m**2 + l and give l.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 38 + 46 = 2*s + 107 - 50, -5*s = -s + 16 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 9:19 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1179647703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*14.8.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y**3 - 10*y - 10. Give r(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 2*q**2 + q + 3. Let u be a(0). Solve 5*s = u*d + 27, d = -4 - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 8*i + 25. Let h be m(11). Let k(v) = -2*v - 40*v - h*v. Let t(w) = w. Determine k(t(l)).\nAnswer: -100*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 33 = -3*u + 10, 5 = u - 5*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*f**3 + 91*f**3 - 877*f + 434*f + f**2 + 441*f to the form i + r*f**2 + v*f**3 + k*f and give v.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 742309581 to the nearest integer?\nAnswer: 27245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33243053603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 3*b - 1295. Suppose 11*h = 14*h - b. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 692 and 2.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 24*x**2 - 177*x - 912. What is the remainder when l(-5) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*h - 0*z - 2, 4*h + 5*z = 5. Solve m + 3*m = h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/40)\/((-3)\/10). Suppose -k*f + 25 = 17. Let x be (1 + -2)\/((-1)\/5). Put f, x, 2 in descending order.\nAnswer: x, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 7, -1.9, 1\/515, 0.2 in ascending order.\nAnswer: -1.9, -0.07, 1\/515, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 26 = -6*l. Suppose -3*b + 4 = -3*g - 26, -4*b + 36 = -l*g. Solve -a = -b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + u + 2 = -2*u, -2*c - u - 2 = 0. Let d be (-24)\/60*c\/(-13)*-15. Let 6\/13*t**2 + d + 20\/13*t = 0. What is t?\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((-4536)\/(-98))*(-8)\/(-14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 6429627.\nAnswer: -4\/6429627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24437946 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 30 + 3 + 4 + 13 + (-64 - -50).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - z - 212 = 0, -5*d + 0*z = z - 364. Suppose d = -0*i + 4*i. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -85, -3?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**5\/120 - n**4\/12 - n**3 - 1. Let j(x) be the third derivative of f(x). What is the units digit of j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxi when three letters picked without replacement from {v: 3, x: 2, i: 5, o: 5, w: 5}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*s - 14, 0 = 12242*q - 12243*q - 2*s - 2 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*368\/12. Let x = b - -73. Calculate the highest common divisor of x and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 195*p + 897. What are the prime factors of h(7)?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-8) - -2)*1. Let k be 0 + (-1)\/((-1)\/(-3)). Suppose 326*q + 2*q - 72*q + 1024 = 0. What is the third biggest value in w, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 23 - 42 = 0. Suppose 4*l - 16 = 0, -5*n - f*l = -0*n - 1850. Suppose -7*a + n = -166. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (4 + -13 + 22) - (2 + 27) - 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 = u + u, 4*f = 4*u - 20. Let p(r) = -r + 2*r**2 + r**3 + 5 + u - r**2. What is the tens digit of p(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 2. Suppose q*x - 30 = x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 15. What is the closest to 0.1 in q, -0.1, 3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2061368995, 2061368997, 2061368999?\n\"Answer: 2*a + 2061368993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -21022 bigger than -21005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74960266 and 1978?\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, k: 4, l: 1}. What is prob of picking 2 k?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -27*l - 16*l. Factor 30 + 5*j**2 - 2*j**l - 5 - 7 + 55*j.\nAnswer: (j + 18)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2690 and 54.\nAnswer: 72630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*m - 32*m + a - 17 + 8 - 14, 4*a + 10 + 18 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 574 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 + 14912*f - 4 - 44668*f + 14897*f + 14860*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72 and -1.2.\nAnswer: -86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27269 and 598697?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/108)\/((-2)\/8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 - 219. Which is the third biggest value? (a) 0.1 (b) p (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = 14*m + 2281 - 928. Sort 3, 5, -4, m in ascending order.\nAnswer: m, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 2*p + 3*j - 4, 39 = 5*p + 2*j. What is the hundreds digit of p\/(189\/6) - (-3632)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyrhx. What is prob of picking 1 y and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - -20102112?\nAnswer: 20101230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:02 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, b: 7}. Give prob of picking 1 s and 1 b.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/5 - 12881*q**2\/5 - 1328911*q\/5 - 1316031\/5 = 0.\nAnswer: -12777, -103, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 1. Let k(p) = p**2 + 11*p - 11. Determine 66*g(v) - 6*k(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -8, -60, 0 in descending order.\nAnswer: 4, 0, -3, -8, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - d = 0, -d - 2 = b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -24611703.1 to the nearest 100000.\nAnswer: -24600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.3. Let t = 0.1 + -0.2. Which is the closest to t? (a) 1\/2 (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**5\/20 - h**4\/4 - 2*h**3\/3 + 9*h**2\/2 + 6*h. Let a be k(4). What is the derivative of a + 27*z**3 - 4 - 9 wrt z?\nAnswer: 81*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -38, -84?\n\"Answer: -46*s + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 10*v**2 - 14*v - 42. Let y be r(-9). What is the second derivative of -38 - 5*c**y + 37 + 3*c**2 - 95*c + c**2 + 0*c**3 wrt c?\nAnswer: -30*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8286.\nAnswer: 2, 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 0.0292?\nAnswer: -0.2292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 198 = 8*f - 88. Let r be -9*(-4)\/12 + -4 + 3. Put 1, f, r in increasing order.\nAnswer: f, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9508405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000869532 rounded to five dps?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, -58, 3 in decreasing order.\nAnswer: 10, 3, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + (-383673)\/34. Let v = t - -17658. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3422, -58, -8, -4.\nAnswer: -3422, -58, -8, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21087\/2680 - -17\/536. Let v = -31639\/6 + 5291. Calculate the common denominator of a and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2*p**(1\/5))\/(p**(6\/7)*p**(-4\/9)*p*p))**(-5\/4) assuming p is positive.\nAnswer: p**(67\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 9 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**6\/150 + 3*p**5\/100 - p**4\/60 - p**3\/10 + p**2\/5 + 8*p. Solve c(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 371, 4, 12, -3 in descending order.\nAnswer: 371, 12, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - -2) + 2 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-30)*-8)\/(37\/370).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*t - n, 0 = -4*t + n + 9. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 a factor of 76110941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0*x - 1\/20*x**5 + 0*x**4 + 5\/2*x**3 + 2 + 11\/120*x**6 - 32*x**2. Differentiate j(h) with respect to h.\nAnswer: 33*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23663 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3907 = -2*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 6.8. Suppose 5*r + 3*q = 916, -5*q - 706 = -4*r + 12. Let l = r - 2000\/11. Which is the closest to 5? (a) m (b) 2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553397803 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5049 and 1377.\nAnswer: 15147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -7. Suppose 0 = -u - 2*n + 20 - 13, 0 = 4*n - d. Solve -4*r = -3*r + u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5956 = -38*x + 5064. What is the highest common factor of 130 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 2 (c) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 19 - 533 = -c, -5*x = 5*c - 2745. Suppose 132*z - 138*z + c = 0. Is 91 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 594.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 367097407949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1. Let y(x) = 2*x - 9. Calculate 6*n(z) + y(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 453468?\nAnswer: 1\/113367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7344)*1 + sqrt(7344) + sqrt(51) + (sqrt(561) + sqrt(561)*2)\/sqrt(11) + sqrt(51))\/(sqrt(33)\/sqrt(99)*3).\nAnswer: 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/448 + 16745\/13888. What is the common denominator of x and -29\/3?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338937 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -52. Suppose 2*w + 48 = -4*m - 0*w, -o = 3*w. Let r be (-136)\/(-20) + (-2)\/m. Solve 3 = 4*k + r, -1 = 3*i + k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*k = -60*k - 1388265. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -396.084, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -98.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 f when three letters picked without replacement from {f: 3, t: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 826.08 to the nearest 10.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -383787 (base 10) in base 8?\nAnswer: -1355453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60146 and 2196?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 + 5.2. Let c = o - 2.50048. What is c rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 3.9, 2.4, 313\/3, -0.5?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Let y(t) = 5*t + 2. Let a be y(2). Let z(v) = a*v - 12*v + v**2. What is s(z(l))?\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -245 + 245. Suppose j = -i - 5*r + 10, -2 - 62 = -3*i + 2*r. Suppose -5*p + 5*q = -10, -4 = p - 5*q - 2. Solve 0 = y + p*y - i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54219915661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 85769.99 nanograms in milligrams?\nAnswer: 0.08576999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28 - (184\/56 - 45\/(-63)). Solve -9*i = n*i + 33 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 189*l**3 + 3384*l**2 + 24000*l + 59904.\nAnswer: 3*(l + 8)**3*(l + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = h + 1, 5*j = h - 5. Suppose -3*n + 1 = -3*t + 4, -2*n + 10 = 2*t. Put 4, j, t, -7 in decreasing order.\nAnswer: 4, t, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 0*x - 2*x + (-26 + 35 + 44)*(-3 + 2*x + 3) in the form l*x + n and give l.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464252.\nAnswer: 2, 277, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*x - 102 = 0, -2*r + 2*x + x + 56 = 0. Calculate the smallest common multiple of r and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 12. What is the lowest common multiple of a and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 545 = 857 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-77 - (-37 - -23) - -7)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 34 = -3*l + 28, -3*v = -6. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 51 - 9. Suppose -4*l - 76 = -5*x, -i*x + 2*x = -5*l - 75. What is the least common multiple of x and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13604078573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91040 and 17162178?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, 1\/7, -346?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 739588 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 11654745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*n = 4*d - 38, -2*d - 2*n + 12 = 0. Calculate the remainder when 34 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/3646357 and -109\/35137622.\nAnswer: 386513842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5745, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 87786?\nAnswer: -87781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - 4*t**4 - 2*t**4)*(11 - 10 + 0*t - 3*t).\nAnswer: 15*t**5 - 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 449*k**3 - 178*k**2 + 21*k - 41. Is z(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - (-9)\/12 - (8 - 1325010\/40).\nAnswer: 2, 29, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 38 = z + a, -171*z = 5*z - 4*a - 164 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*f + 19 + 5, 4*t - 2*f = 20. Let m = -91 - t. Let o = m + 246. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3032)\/(-5306)*63\/(-2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585131701 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*c - 86 + 92, c - 2*z - 21 = 0. Find d such that 6\/5*d**2 + 12\/5 + 8\/5*d**c - 10*d = 0.\nAnswer: -3, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 - 5*v - 5. Let r(h) = -4*h**2 - 6*h - 6. Let y be (-6)\/8*(9 + -1). Let d(m) = y*w(m) + 5*r(m). Let a(k) = -k**2. Give a(d(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {n: 2, x: 6, t: 9, u: 1, k: 1}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1332 and 45626180?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) 0 (d) -0.3 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = -2*h + 23*k + 2, -5*h + k = -18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 9212 - 54704. Suppose 3*t - 4*u - d = -t, -t + 4*u = -3803. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4 - 1064*y**3 + 19530*y**2 - 18468*y = 0. What is y?\nAnswer: 0, 1, 18, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 3. Let p be (19\/(-3) - -2) + (-6)\/9. What is z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1783933.75551 - 1783925. Let g = x + -8.76. Round g to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*-4*sqrt(612)\/sqrt(12))\/(sqrt(147) + -2*sqrt(147)*-6) + -4.\nAnswer: -4 - 8*sqrt(17)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2. Suppose -4*j = 2*q - 14, 14 = 5*j + 2*q - 2. Let i = 2 - j. Let o(m) = i + 4 + m - 4. Calculate o(a(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - 3*s - 1. Suppose -h = -4*h - 12. Let u(p) = -6*p**2 + 3*p + 1. Let t(x) = h*u(x) - 5*n(x). Determine t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 32. Let c(x) = 3*x**2 - 2*x - 3. Let b(m) = 7*m**2 - 3*m - 6. Let d(v) = 4*b(v) - 9*c(v). Calculate the smallest common multiple of f and d(-7).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 13 - 30 = 5*y, -4*y = 4*a - 44. Solve -a*w - 75 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*l**2*u**2 + b*l**2*u + 135*b - 2*l**2 + 139*u**2 - 7*u wrt b.\nAnswer: 2*l**2*u**2 + l**2*u + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 = 5*j + 2*f, 3*j + 2*f = 20. Suppose -j*z + 9*z - 2625 = 5*v, -3*v = -2*z + 1053. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2098203, -2098204, -2098205, -2098206, -2098207?\nAnswer: -2098208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-1*2\/(-6). Let o = 6.8 - 3.5. Let i = o - 3. What is the biggest value in s, -4\/7, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 180?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from ykkkkkyk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -3, -1972 in decreasing order.\nAnswer: 5, -3, -7, -1972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3\/7 + 2738228*t**2\/7 - 468622393564*t\/7 + 1405842536748\/7 = 0 for t.\nAnswer: 3, 342277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -198*y**3 - 6588*y**2 - 24170*y + 19100 = 0.\nAnswer: -955\/33, -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1225\/1338 + 25115537\/4683. Let x = s - 5365. Find the common denominator of 404\/(-6)*9\/(-24) and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 7*u**2 + 6*u. Let v be d(-6). Let i be (v - 2 - -1) + -1. Let y = 589 - 588.5. What is the third biggest value in y, i, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*w**4 - 203*w**2 wrt w?\nAnswer: 2352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 13 = 17. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1)*(-18)\/(-1). Suppose k + 0 + 3 = 0. Let j be k\/(((-12)\/8)\/1). Calculate the greatest common divisor of j and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -13*t**3 + 7*t**2 - 4*t - 13. Let p(s) = -12*s**3 + 6*s**2 - 3*s - 13. Let a(g) = -4*p(g) + 3*u(g). Differentiate a(l) with respect to l.\nAnswer: 27*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15063?\nAnswer: 3, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.56 - 6.66. Which is the closest to s? (a) 2\/3 (b) -4 (c) -0.05 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 49*a**3 + 3867*a**2 + 7741*a + 4. Determine r(-2).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 - (-388)\/12. Let x be (-3)\/2*-2*1. Is x\/1*m\/3 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 395 + 572*t**2 + 568*t**2 + 469*t**2 - 1614*t**2)*(-t**2 + 3*t**2 + 0*t**2).\nAnswer: -10*t**4 - 2*t**3 - 790*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17228 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.5, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/33))\/z**16 assuming z is positive.\nAnswer: z**(-496\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plp when three letters picked without replacement from {l: 1, a: 2, t: 1, y: 3, p: 3, j: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d. Let t(n) be the second derivative of n**7\/280 - n**4\/12 + 6*n. Let x(z) be the third derivative of t(z). Calculate x(j(k)).\nAnswer: 225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 32 - 107. Calculate the common denominator of (-16)\/(-56) + w\/112 and 45\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2418\/(-124)*(-6)\/9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0.072 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8*w - 616 = 0. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 31*l + 1. Let c(k) be the first derivative of 2*k**3\/3 - 15*k**2\/2 + 346. What is 5*c(n) - 2*j(n)?\nAnswer: 2*n**2 - 13*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.9 and 1.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, t: 2, w: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**7\/1260 - k**4\/12 + 2*k**2. Let h(n) be the second derivative of x(n). Let q(y) = -2*y**2. Give h(q(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19699985 divided by 5?\nAnswer: 3939997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5 + 24 + (-220)\/25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - (9 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8957 by 64.\nAnswer: -8957\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9715 by -1.\nAnswer: -9715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 394 and 788.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + z - 2*z)*(-3 + 1 + 4) + 948*z + 2 + 838*z - 1386*z + 0*z - 3*z + 2*z - 3*z + 0*z + z + (-2*z + 6*z - 2*z)*(-2 + 4 + 0) + 0*z + 4*z - 2*z.\nAnswer: 407*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 0 - 1\/20*h**5 - 2*h - 2\/3*h**3 + 5\/12*h**4 + 2*h**2. List the prime factors of n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*t = -8, o - 5*t = 3*o - 4. Solve -s = 3*s - o*b - 22, -5*s - b + 17 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/3325?\nAnswer: 3\/3325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from bqofqcbbqqq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 1, f: 3, v: 9}. Give prob of picking 3 r and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 5, -4130 in increasing order.\nAnswer: -4130, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8046313 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453898339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -13) + 0 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = -4*p, 5*b + 0*p + 20 = 4*p. Let z be (1 - b)\/(25\/(-85)). Let t = 30 + z. Is t at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/17 + 70\/(-595). Suppose -324 = -4*l - j*l. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -187550*u**3 - 56*u - 3*u**2 + 187551*u**3 + 2 + 0 - u**4 as k*u**3 + t*u**4 + j*u**2 + v*u + b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 2381*q**9\/504 + 394*q**5\/15 - 20*q**2 + 66. What is the third derivative of h(y) wrt y?\nAnswer: 285720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4045698 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 105 = -5*j. Solve 0 = 3*c + 2*c - j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let s = 5 - 2. Let w(z) = -z - s*z + 5*z. Calculate j(w(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -37 - (-1 + 7 + -65 + 62)) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 14. Let y = r - -24. Suppose -y = 2*x - 33. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 28*a - 20. Suppose a = 14*p - 144. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Suppose y - 66 = -g*y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -288951, -288857, -288763, -288669?\n\"Answer: 94*y - 289045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3275*o**4 + 15*o**3 + 5*o**2 - 3773. Let b(p) = 1637*p**4 + 9*p**3 + 3*p**2 - 1886. Let d(t) = 5*b(t) - 3*v(t). Differentiate d(g) with respect to g.\nAnswer: -6560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 958144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -121, -7667, -1?\nAnswer: -7667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1359?\nAnswer: -407.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*l**2 + (30 - 11 + 13)*(2 - 3*l**2 - 2).\nAnswer: -98*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 2\/13 (c) -2767\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 18*m + 38. Let g be f(-20). Let v be (-9)\/((-162)\/(-32)) - g. Which is the closest to 0.1? (a) -1 (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)\/(j\/(j\/(j*j**(2\/11)*j))))\/(j*j\/j**(2\/3))**(1\/53) assuming j is positive.\nAnswer: j**(-362\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l*l**8))\/(l**(-5\/3)\/l))\/((l*l*l\/(l*l**8*l)*l*l)\/(l\/l**6)))\/((l**(-2\/5))**(-3\/10))**(1\/2) assuming l is positive.\nAnswer: l**(-959\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/120 - 3*y**5\/40 - y**4\/4 + 2*y**3\/3 - y**2. Let v(d) be the first derivative of f(d). Factor v(w).\nAnswer: -3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + -7 - (5 + -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -15, 18, -65 in increasing order.\nAnswer: -65, -15, 18, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**3 - 455*l**2 - 10575*l - 10125 = 0?\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -653.7184 - -654. Round d to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1583, -3636, -5833, -8174, -10659?\n\"Answer: -72*x**2 - 1837*x + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 0 - (5 - (-13 - -24)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*w - 30 = 0, -2*t - 5*w + 39 = -0*w. What is the remainder when t is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -40*p - 5*o + 4*o, -18 = -o - 2*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 + 20\/9. Let t be 1\/5 + 2052\/540. Let h(j) = -j**2 - 9*j + 13. Let s be h(-10). Solve -r = -s*b + t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/15 and ((-182)\/(-65)*(-260)\/(-432))\/(-1).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.2 - -6.1. Let l be 2 - (-1 + (-20)\/(-7)). Suppose 0*f - f - 5*i - 7 = 0, -5*f = -5*i + 5. Which is the nearest to d? (a) -3\/2 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-1)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-2\/13)\/b)*b*b**(-6))\/(b*b*(b*b\/((b\/((b\/(b*b**(-5)\/b*b))\/b))\/b)*b)\/b*b*b**(2\/7)) assuming b is positive.\nAnswer: b**(-1104\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 23922\/8159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 2*v**2 - 3*v + 3. Let y be h(3). Suppose 0*r = -x - 2*r + 10, 4*r = 16. Let c(q) = q + 6. Let p be c(-5). Put x, p, y in descending order.\nAnswer: y, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -13.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149*f**4*k - 5*f**2*k - 6*f wrt f.\nAnswer: -3576*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-577 + 76*y**2 + 577)*(2*y**2 + 0 + 0)*(3*y - 4*y - y).\nAnswer: -304*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.42719+1270101524\nAnswer: 1270101525.42719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -0.002?\nAnswer: 5.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r**5 - 706*r**4 - 20074*r**3 - 83046*r**2 - 108664*r - 44992 = 0.\nAnswer: -76, -37, -8\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*-1*4*(258\/(-1548))\/((-6)\/27).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 4*p + 20. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2960 - -2960.4. Which is the nearest to x? (a) 0.5 (b) -3\/17 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-478)\/(-6) + (-2)\/3. Let s = -29 + a. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 18) + 8 - 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 7. Let f be b(4). Let c be (2 - 1) + (-36)\/(-12). Solve -f = c*j + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259451420.\nAnswer: 2, 3, 5, 20990857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -1.089\nAnswer: -0.05445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3*sqrt(500) + sqrt(500))\/sqrt(10) - sqrt(50) - (sqrt(200) + sqrt(200)*-2 + 2))**2.\nAnswer: -100*sqrt(2) + 1257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**2 + 2*r - 15*r**2 - 3*r to the form c*r + o + u*r**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -12774?\nAnswer: -12775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.4 + -9.4. Which is the second smallest value? (a) -3 (b) -2 (c) w (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4\/4 + 4380*w**3 - 2413905*w**2\/4 + 4600290*w - 6821703 = 0. Calculate w.\nAnswer: 2, 6, 133, 5699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3705390, 7410921, 11116452, 14821983, 18527514, 22233045?\n\"Answer: 3705531*j - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2. Let v be y(2). Suppose -2*k + 4 = -v. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/34, -2\/23, -0.3 in descending order.\nAnswer: 5\/34, -2\/23, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20794445 and 1645?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*b - 212751 = -166*b - 3*p, 2*b - 141831 = -3*p. Round b to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171233428?\nAnswer: 2, 42808357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 9\/4)\/((-3)\/8). Let q be 5\/(-240)*i + 911667\/168. Let g = q + -5437. Which is bigger: g or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s - 414. Determine f(-69).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than 2.823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 10 - 41. Let c(q) = -5*q**3 + q**2 + 2*q + 2. Let r be c(-2). Suppose -4*a - 2 = -r. What is the remainder when o is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 55*v**2 - 9*v**2 + 23*v**2 + 5 + 0.\nAnswer: 69*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -x + 5*w, 5*x + 21 = -3*w - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (303648\/392212)\/(21\/(-93))\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 27)\/(2\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 4. Is (11 + -13)*154\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -2069?\nAnswer: -117\/2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 323 + -55560?\nAnswer: -55235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t - 110. Let y be 3\/5 + (-4)\/(-10). Calculate the lowest common multiple of t*y\/(3\/(-3)) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*o**4 - 132 + 394\/3*o**2 - 46*o + 46*o**3 = 0. What is o?\nAnswer: -66, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 9*t = 19*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34090920 and 5160.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 652203 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/12 + x**3\/2 + 3*x**2\/2 + 9*x. Let o be n(3). Suppose -2*i + 3 = -1. Solve i + o = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*((-2 - 2) + (16\/12 - -2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d**2 + 2*d + 2. Calculate o(-2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -737 + 742. Let j(v) = 18*v**3 + 16*v**2 - 16*v + 16. Let f(h) = 6*h**3 + 5*h**2 - 5*h + 5. Calculate g*j(l) - 16*f(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8)*(1 - -5). Let m = 7 + i. Find the first derivative of 3 - n + 2*n + 0*n - m*n wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 3*b**2 + b - 8. Let u(g) = -g**3 - 2*g**2 - 7. Let x = -1077 + 1080. Calculate x*u(q) - 2*p(q).\nAnswer: -q**3 - 2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58955 equal to 58981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*(-9 - (-7 + -3))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) 0.08 (c) -100 (d) -1\/2 (e) -5.47 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 11) to base 16\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95740494?\nAnswer: 2, 3, 41, 389189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.319 to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (7 - 14)) + -1 + (-9 - -4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -457*r**7\/42 - r**4\/6 + 4105*r**3\/6 - 619*r. Find the second derivative of n(q) wrt q.\nAnswer: -9140*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-36)*14\/(-4)*28\/196\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t. Suppose -5*a = -5*p + 15, -4*p - 5*a + 3 = -0*a. Let w(m) be the first derivative of -10 + 0*m - 14\/3*m**3 + 0*m**p. What is d(w(f))?\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)\/x)\/(x**(-1\/8)*x))\/(x**(-1\/8)\/((x*x*x**(-5))\/x)) assuming x is positive.\nAnswer: x**(-123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3. Let y = 1 - o. Suppose -21 = -p - 4*t, -p - 2*p + 5*t + 114 = y. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 4. Let z be n(-5). Suppose -2*b + 0*b + z = 0. Let r(u) = -u + 7. Let d be r(b). Solve 5*v + 24 = d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*o + 4 + 163*o - 7 + 5 + (-13 + 2 + 6)*(3*o - 2*o - 2*o) as i + s*o and give s.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 5*r + 31. Calculate the remainder when d(-5) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4490, 9007, 13524, 18041?\nAnswer: 22558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (121\/5082)\/((-8)\/(-84))*(36\/(-46))\/3?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {p: 1, u: 2, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to 105.066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/22)\/n)\/n*n\/n**(-2\/33) assuming n is positive.\nAnswer: n**(1\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -22 - -13) + 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 0, 11, 5, -5\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (2 + -5)*1. What is the tens digit of 17\/l*2 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -1243, -2897, -5239, -8269, -11987, -16393?\nAnswer: -21487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 16*a - 9. Calculate o(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13)*(u*u\/(u\/(u\/u**(-23\/5)))*u)\/u)\/((u**(-20)*u)\/u**(-30)) assuming u is positive.\nAnswer: u**(-276\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62, -262, -596, -1064, -1666, -2402?\n\"Answer: -67*h**2 + h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*x + x = -22, g = -x + 2. Calculate the remainder when (((-1520)\/(-12))\/(-10))\/(16\/(-24)) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20806369 divided by -5\nAnswer: -20806369\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 2*a. Calculate the least common multiple of a and 2\/((-10)\/3 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 518652.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.69 to zero decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d + 14. Let f(t) = -5 - 2*t - 7*t + 13*t - t. Let y(o) = 6*a(o) + 17*f(o). Let k be y(-2). Solve k + 5 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18007109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6834323 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: Let y = -133 + 136. Suppose 2*q - 296 = 3*j - 8*j, -y*j + 620 = 4*q. What is the remainder when q is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*i + 20. Let v be ((-4)\/6)\/(8\/i). Is 1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 5, v: 6, x: 3, o: 5}. What is prob of sequence gx?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 793564410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19265339 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752\/12 - 2\/3 is divided by 1*(-3 + 1) + 12 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/8 and -59\/153089644.\nAnswer: 306179288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*s - 137. Suppose l = 6*l + 2*j - 19, -4*l = -4*j - s. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13175441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437844206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 3968.\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -154047 (base 9) in base 6?\nAnswer: -2010541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1292*c + 1345*c - 5201*c + 1287*c + 1292*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6573260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7112399269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 9002578879?\nAnswer: 9002578878.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-6)\/(6\/1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4775 + -4775.1. Is w < -530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -11210022112?\nAnswer: 11210022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -5, 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 45. Suppose -3*m + a = o, -5*o + 4*o - 5*m = -8. Put -3, 1, 4, o in decreasing order.\nAnswer: 4, 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510411624?\nAnswer: 2, 3, 41, 53, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92260485*u**3 + 115745884*u**2 wrt u?\nAnswer: -553562910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3237)\/(-7553))\/((-12)\/224).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*u - 3035 = 246 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g - 49. What is d(-20)?\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 3. Let t(f) = -5*f - 6. Let b(n) = -11*r(n) + 6*t(n). What is b(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950646 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -28830*l - 268119\/4 - 4743\/2*l**2 - 72*l**3 - 3\/4*l**4 = 0?\nAnswer: -31, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 5*f**2 - 21. Let g be t(-9). Suppose 0 = s - g - 108. What is the units digit of 8\/(-36) - s\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 2 = -18*s. Let p = -5 + 5. Let h be 3\/(-12) - 19\/(-44). What is the nearest to p in h, 2\/3, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - -2*sqrt(567) - sqrt(567))\/((-2*sqrt(108))\/sqrt(12)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 28467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20438 + -17393. Solve -4 = -3041*g + l*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68807 = -4*c + 257819. Let k be -2 + (-4258)\/c*-21. Let f = -2\/829 - k. Put 0.06, f, 2\/7 in descending order.\nAnswer: 2\/7, f, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h + 3*c, 2*h + 0*h = 5*c - 1. Suppose 3*m = 2*m - h*y + 74, 0 = -m + 3*y + 89. Is 157\/2 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(3\/32)\/((r*r**(1\/3))\/(r**(-2\/9)*r)))\/((r\/r**(-1\/2))**8\/(r**(-1)*r*r*r*r*r\/((r\/r**(-1))\/r))) assuming r is positive.\nAnswer: r**(-2779\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h - 3. Let l be h\/(1\/3) + 4. Suppose 0 = 2*u - 0*u + 10. Put l, -4, u in descending order.\nAnswer: l, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34094255*l**3*n**2 - 978*l**3*n - 4*l**2*n + 2*l**2 - 1198*l*n wrt n.\nAnswer: 68188510*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4\/11 + 1016*u**3 - 11178*u**2\/11 = 0.\nAnswer: -5589, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1165739.6 to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1020 divided by 11\nAnswer: -1020\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 89 = -5*v, v + 4*a + 86 = 6*v. Suppose -27*n + v*n = -1179. What is the remainder when n is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 12 = -17*o. Suppose o*c - 25*c - 76 = 0. Sort 11, c, 1 in ascending order.\nAnswer: c, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u + 2*y + 101, 5*u + 183 = 4*y. Let q = u + 49. What is the highest common divisor of 98 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -i - 4*i + 4, 0 = -4*i. Let t(z) = -8*z**2 - 2*z**x + 19*z**2 - 3*z**2. Let f(m) = 4*m**2. Give t(f(s)).\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-5))\/(45\/25 - 2). Suppose m*r - 271 = 35. Which is smaller: 0.1 or r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -4. Calculate the remainder when 58 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*q**3\/9 - 8*q**2\/9 - 2*q\/3.\nAnswer: 2*q*(q - 1)*(7*q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 22*f**2 + 92*f + 88. Find the first derivative of q(t) wrt t.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 935553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1 and -1791.\nAnswer: -5552.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -33, -115, -283, -567?\n\"Answer: -5*u**3 + 2*u**2 + 3*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -28\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 58 - 111 + 169. Let k(y) be the third derivative of 0 + 0*y**4 - 1\/60*y**5 + 0*y + y**2 + 0*y**3. Give i(k(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -2. Solve -4*m - y = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -87\/11 (b) -5 (c) -237\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-66)\/9)\/((-3)\/(-9)). Let n(m) = -6*m**2 + 2*m - 2. Let p(x) = 32*x**2 - 11*x + 11. Let s(a) = d*n(a) - 4*p(a). Let j(b) = 53*b. Calculate j(s(r)).\nAnswer: 212*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -3, 1, 1048, 3, 4 in descending order.\nAnswer: 1048, 4, 3, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*b - 3, 13*n + 6214 = 6201 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -2 + 0*o + 1\/6*o**4 - 2\/9*o**3 + 0*o**2. Solve m(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007172263 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 9*n**2 + 6*n + 4. Let v(r) = 1 - 10*r**2 + 4 + 7*r - 2*r. Let j(p) = 5*d(p) - 4*v(p). Factor j(b).\nAnswer: -5*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(2*i + 2*i - 5*i) + 5 + 0 - 6 + i + (-1 - 1 + 0)*(-2*i - i + 2*i) + 0*i + 0*i - i to u*i + c and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*k - 13 = 8*k, -3*k - 4 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b + 3*b - 13*b)*(-2 + 0 + 4)*(-1 + 2 - 2).\nAnswer: 44*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5*114.59601\nAnswer: -572.98005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892.495 minutes in hours?\nAnswer: 48.20825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000281822 rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 - 44 + 42)*(-2 + 2 + 1)*(5*t - 3*t + 2*t + 1)*(5 - 3 - 3)*(2 - 5 + 1) in the form k + s*t and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9206686ml?\nAnswer: 0.0009206686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a**2 + 4*a**2 - 41*a - 3 + 23*a + 18*a.\nAnswer: -34*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*o + 9154 + 4171 + 8374 = 5067 for o.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/20)\/(6\/(-185372)). Let w be (-15482)\/4*(4 - 6). Let l = w - c. Find the common denominator of -101\/2 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 - 10110011011100100?\nAnswer: -10110011010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.56675\nAnswer: 0.170025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -5 (b) 1\/7 (c) 4\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - p**5 + (-p**3 + 3*p**3 - 4*p**3)*(p**2 + 0*p**2 + p**2) - 3*p**2 - p**5 + 3*p**2 + (-17*p**2 + 454*p - 454*p)*(-3*p**3 - 49 + 28 + 22 + 6*p).\nAnswer: 45*p**5 - 102*p**3 - 17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6 + (2 - 3))*(-2768)\/519?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7 + 2*q + 6*q**2 + 6*q**2 + 3 - 11*q**2. Determine x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let j(u) = -8*u + 8. Let z(o) = 8*o - 10. Let v(y) = 4*j(y) + 3*z(y). What is -3*b(s) - v(s)?\nAnswer: 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 - 1 = -45*p. Solve p = a - 5, 2*a = -9*t + 12*t - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 10*j**2 - 12)*(-51*j - 43*j + 92*j - 1) to the form b*j**3 + k + y*j + w*j**2 and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/3)\/(4\/(-6)). Suppose -w*o + 10 = -5. Suppose o*p = 5*p - 12. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010110110001100000 (base 2) to base 7.\nAnswer: 24422046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((342\/90)\/19)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 4:02 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2226 rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by 1.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t + 2. Let s(m) = m - 6. Let x(z) = -3*z + 17. Let p(d) = 17*s(d) + 6*x(d). Let b(q) = 3*q - 9. Let h be b(5). What is h*p(i) - y(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 1358*y. Let c(p) = 14*p + 10. Determine c(s(l)).\nAnswer: -14*l**2 + 19012*l + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -151523244 (base 6) to base 11\nAnswer: -1874327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n + 6*w - 5*w, -3*w = -12. Let r be -2 - 1\/(-2)*n. Let f be (-2)\/(-5) + 16\/10. Which is greater: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21267 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*i + i + 1, 5*i = 4*t + 14. Suppose -3*d + 3 = -5*v, 0*d - i = -2*v - 2*d. Let a = v + 22. 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: Solve 63*b - 133 + 61 = 810 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*g - 0*g - 8, 5*i + 3*g + 53 = 0. Let v be ((-6)\/i*(-10)\/15)\/2. Are v and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 + 2*s**2 - 23*s - 27. Let y be b(8). Which is smaller: -1620 or y?\nAnswer: -1620","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77 - 87.4639160122?\nAnswer: -88.2339160122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 210 = 18. Let n = -78 - t. Suppose -2*l - n = -6*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 939142244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - -1. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2446 at least -2445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -12*s**2 + 1. Let p(u) = -7*u**2 - 3*u**2 + 9*u**2 + 120 - 120. What is p(w(q))?\nAnswer: -576*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118764733?\nAnswer: 118764733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.137 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -3\/7 (c) -96 (d) -11 (e) -2\/5 (f) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*m - 12195 = 385. Solve -m*z + 45*z + 120 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 2*d**2 - 7*d - 6. Let k be c(-3). Let p be ((-4)\/k)\/(56\/8988). Let g = p + 340. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781263089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 245 = 2*h + 5*n, -2*h - n + 121 = 0. Find the first derivative of -h + b**3 + 2 - 17 - 31*b**4 wrt b.\nAnswer: -124*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -39*h**3 - 9*h**2 + 9*h - 17. Let y(o) = 20*o**3 + 5*o**2 - 4*o + 9. Let i(c) = -3*u(c) - 5*y(c). What is the hundreds digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 - 1176*n**2 + 691488*n - 135531648.\nAnswer: 2*(n - 588)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -21. Suppose -3*n = j + 2*n + r, 64 = -2*j + 5*n. What is the tens digit of (-4)\/(-14) + (-870)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + l - 9628 = 0, 5*b - 13312 - 2736 = -2*l. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -39, -28, 17, 108, 257, 476, 777?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*b + 101*b + 103*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*f - 2*k, -7*f - 4*k = -12*f + 12. Solve -5*w + w + 10 = -5*y, 0 = f*w - 2*y - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - -3.01. Let y = 13 + 2. Let k = 11 - y. Sort -2\/3, u, k in decreasing order.\nAnswer: u, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4838.44*-0.62\nAnswer: -2999.8328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-33)\/(-3)))\/((-3)\/(-6))*-13\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00063966 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 985 - 978.7. Let x = -153 + 159.1. Let g = x - z. Is -1\/21 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4806 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1805*b + 1359*b + 18286 = 0 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 942 (b) 0.49 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i + 27 - 27 to the form o + d*i and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 302.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173384103 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19503.468 months in years?\nAnswer: 1625.289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 13*j - 133. Let k be f(11). Let y be (-2)\/(-5)*(157 - 2). Let c = y - 42. What is the greatest common factor of c and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) -13 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3*v + v + (-2 - 2 + 3)*(6*v - 5*v + 0*v) + 2*v + 2*v - 5*v + 10*v - 4 + 4 - 2*v + 2 - 2)*(-3*v**2 + 2*v**2 + 0*v**2).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3)*(16 + 2). Suppose 4*f - 49 - 23 = 0. Let b = f + n. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - i - i - 4 + 5*i. Let w be 2 - 4 - 0 - 2. Let j be f(w). Solve x - 2 = 2*x - 4*m, j = -2*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-9 - -5) + 0 + 17108\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/10969 and -8\/7835.\nAnswer: 54845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27830 and 1773530?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 2*x**2 - 2*x + 1. Let i(u) = -4*u**3 - 24*u**2 + 4*u + 42. Let j(k) = -i(k) - 6*v(k). Suppose j(q) = 0. What is q?\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168 - -1514\/9. What is the closest to -1\/4 in p, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*h - 52, -5*u + 8*h - 3*h + 190 = 0. Suppose u = 5*w + 4. Let o = 6 - w. Which is greater: 1\/26 or o?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 - 3*n**3 - 8*n**3)*(-5*n**2 + 0*n**2 + 3*n**2) + (-n**4 - 3*n**3 + 3*n**3)*(0*n + 5*n - 3*n).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmfmmmmfmfmmmmfmmm. What is prob of picking 1 f and 1 m?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 23 = -5*g - 8, 0 = 3*r + g + 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -4099 - (19 - (17 + 1)))*75. Round k to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*k - w + 23, 14 = 5*k + 2*w. Let -6*r - 15*r**2 - 6*r**k + 0*r**4 + 3*r**4 - 12*r**3 = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m + 2. Let h be t(-2). Let b = h - -10. Suppose b*y**2 - 5*y + y**2 - y + 8*y = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 3}. Give prob of sequence hv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 16*d + 7. Let o be f(8). Let m = o + -4. Solve 13 = -5*p - 2*v, -p + 4*v - 4 = m*v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence audl when four letters picked without replacement from aiiruliaard.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724411?\nAnswer: 47, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.16 and -6375.996348.\nAnswer: -6376.156348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(((d*d\/(d*d**(-11\/5)*d)*d)\/d)\/d)*d*(d**(1\/46)\/d)\/d assuming d is positive.\nAnswer: d**(-271\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6767*k**3 + 11603*k wrt k.\nAnswer: 40602*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*c. Suppose 4*f - 32 = -c*k + 2*k, f = k + 7. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14031 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a*n*t**2 + a*n*u - 111*a*t**4 - n*t**3*u**3 - 3*n*t**2*u**3 - n*t**2*u + n*t**2 wrt t?\nAnswer: -2664*a*t - 6*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-6)*10\/(-30). Let g(l) be the second derivative of 0 + 3*l + 0*l**3 + 0*l**4 - 1\/5*l**5 - s*l**2. Find the first derivative of g(y) wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 184 = 174, -40 = 55*l - 3*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5357 divided by 11\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8352 - 300821\/36. What is the common denominator of g and (-50)\/(-32)*(-26)\/(-15)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - (-1 - 0)) - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 133*i + 784 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 18\/3 - (0 - 616). Suppose 56*q - p = 15*q. Solve 2*k - 4*b = k + q, -3*k - 30 = 3*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/7 - 6120*h**4\/7 + 104850*h**3\/7 - 117780*h**2\/7 - 155961*h + 1110780\/7 = 0. Calculate h.\nAnswer: -2057, -3, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -3\/10, -3, 0?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/21))\/w*w**2)\/((w\/(w\/w**(2\/11)))\/(w\/w**7))*((w**(-2\/11)\/w)\/(w**(-5)*w*w))\/((w*w\/w**(3\/4)*w*w*w)\/(w*w*w*w**2*w*w*w)) assuming w is positive.\nAnswer: w**(1193\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258216 is divided by 19843?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 + 214 = 8*j. Calculate the highest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -9\/6442664 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/17)*(z*z**(-20)*z*z)\/z*z**(2\/3)\/z*z*z\/(((z*(z\/(z\/(((z*z**6*z)\/z)\/z)*z))\/z*z)\/z)\/z)*z*z*z assuming z is positive.\nAnswer: z**(-878\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 + 7644*y**2\/5 + 1051896*y + 201854480.\nAnswer: 2*(y + 410)**2*(y + 3002)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-78))\/((-29)\/(-116))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4992*j - 9679 + 16539 + 47350 = 1378*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 3*z**3 - z**2)*(3 - 4 + 2) + z**3 - 5*z**3 + 2 + 2*z**3 in the form p + m*z**3 + f*z + v*z**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 826740479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -49*w**5\/100 + 1043*w**4\/5 + 1194*w**3\/5 + 512*w**2\/5 - 21*w + 3. Suppose u(j) = 0. Calculate j.\nAnswer: -2\/7, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6036 - 6032. Suppose -3*k = -k - 10. What is the second biggest value in k, -8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/8)\/((-60)\/(-24)*-2))\/((-3)\/(-50)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c + 0*c)*(5*c - 1 + 1)*(-5 + 0 - 5)*(10 - 6 + 4).\nAnswer: 400*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1608*p = 294*p - 847*p - 272*p - 165444 for p.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 64.36257 centuries?\nAnswer: 6.436257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*((5 - 5 + 5*y)*(1 - 3 + 1) - 2 + 2 + 2*y - y + 2*y + y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 1. Let p be m(-1). Suppose 0 = -p*k + 5*k - 50. Suppose 7*f + 15 = k*f. Solve -2*r = -f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/4 + 35979*l**2\/2 - 143913*l\/4 + 17989 = 0 for l.\nAnswer: 1, 71956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q. Let o(v) = -9*v - 14. Let y(c) be the first derivative of 3*c**2\/2 + 4*c + 21. Let k(d) = -2*o(d) - 7*y(d). What is p(k(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u. Let o(s) = 290245*s**2. What is o(g(l))?\nAnswer: 23509845*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g**4\/13 - 14*g**3\/13 - 76*g**2\/13 + 152*g\/13 - 48\/13 = 0. Calculate g.\nAnswer: -3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8114, 16206, 24296, 32384, 40470, 48554?\nAnswer: 56636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7894?\nAnswer: 2, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 380 = 3*f, 3*f - m = -0*f - 392. Let d = f - -350. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -251382*z**2 - 4. Suppose -16 = -3*s + 5*s. Let t be h(s). Let f = -25788452 - t. What is f rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 82, 0.5, 0.1, -1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-40))\/(1\/(-2)). Let x be 504\/(-60) + (-2)\/(-5). Let d = x - -5. Which is the nearest to 0? (a) d (b) -1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.123 rounded to two dps?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 5. Let i be x(8). Suppose 3*a = 5*h + i, a - 2*a - 5*h = -29. Let t = -5 + a. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 70*c**2 + 152*c - 5750. Calculate f(71).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -126672 divided by -546?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -117991*u**4 - 3*u**3 + 2*u + 660942 wrt u.\nAnswer: -471964*u**3 - 9*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrgr when four letters picked without replacement from {r: 3, g: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, o: 1, x: 3, f: 2, s: 6}. Give prob of sequence os.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1137 + 895. Does -239 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(3\/2 + -2). Suppose 5 = 9*n - 10*n. Sort n, -2, m in increasing order.\nAnswer: n, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481144247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*f - 62*f - 442332. What are the prime factors of f?\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 9:09 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1049711, 1049678, 1049653, 1049642, 1049651?\n\"Answer: u**3 - 2*u**2 - 34*u + 1049746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226191057 is divided by 2012.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2396 and 23650916.\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let f(c) = -c + 126*c**2 + c - 124*c**2. Calculate f(b(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1, 1601, 24 in increasing order.\nAnswer: -5, 1, 2, 24, 1601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29687 divided by -4241.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206218*t**2 + 170909*t.\nAnswer: 412436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 125668, 502620, 1130874, 2010430, 3141288, 4523448?\n\"Answer: 125651*c**2 - c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23437732 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132303012 - -2?\nAnswer: 132303020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -2*i**3\/3 - 2*i**2 - i. Let t(u) = u + 1. Suppose 1 = 5*m + 11. Calculate m*t(j) - y(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-10)\/y)*y*y**(-13))\/(y\/(y**(1\/2)\/y)*y\/y**(4\/7)) assuming y is positive.\nAnswer: y**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*w + 1402 - 3814 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24300771661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1758 - 6?\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 0*w**2 - 10 - w**3 - 1\/4*w**4 - 26*w. Let h(o) be the first derivative of q(o). Solve h(a) = 0 for a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g + c = 27*g - 12, 5*g + c = 20. Let y(l) = l**2 - 5*l + 3. Calculate y(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 12*y**3 - 741*y**2 - 346*y + 10028. Give o(62).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 4. Let p be s(3). Let d be 0\/(p + 0\/(-3)). Is 4 a factor of (-3 - d\/(-1)) + 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2540*-111784\nAnswer: -283931360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 76*l + 2. What are the prime factors of p(1)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - -13302?\nAnswer: 13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/14)\/3*(-196)\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 193407569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 8, -89, 14 in increasing order.\nAnswer: -89, 6, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (0 - -2) + (7 - (-1 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/21, 2\/25, -9.\nAnswer: -9, -1\/21, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 47, -33, -181, -421?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrroryrryr. Give prob of picking 1 y and 1 c.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1678565nm?\nAnswer: 0.0001678565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 175b7 - -5?\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5) + 5 + -5 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 3*a - 36. Let t be o(0). Let c = -341 + 201. Let h = t - c. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -13*z**3 + z**2 + 3*z - 4. Let m be d(-3). Let q be (-723)\/(-9)*2\/((-4)\/6). Let a = q + m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 102*c**2. Let s = 33 + -31. Let j(g) = 17 + s*g**2 + 13 - 30. Determine j(t(z)).\nAnswer: 20808*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2. Let c(n) = -5*n - 8. Suppose -f - 5 + 1 = 0. Let o(u) = 70*u + 110. Let d(k) = f*o(k) - 55*c(k). Give d(s(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 8270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*u + 7. Suppose -25*x + 22*x - 3 = 0. Let q be 3\/54*x*u. Which is the second smallest value? (a) q (b) 2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -261 and 4.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -405357\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219788?\nAnswer: 2, 23, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101084 and 2223848?\nAnswer: 2223848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 1. Let y(n) = 5*n - 1. Let q(i) = -8*t(i) - 3*y(i). Let l(o) = 20*o + 14. Calculate -6*l(d) - 17*q(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-207))\/(770\/(-734580))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.8 - -4.2. Let n = y + -36. Do 1\/4 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -356, -693, -1030?\n\"Answer: -337*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 74*h - 6. Let x(g) = 4*g**2 - 63*g + 5. Let p(b) = -6*r(b) - 7*x(b). Let z(u) = 13*u**2 + 8*u - 2. What is 8*p(d) + 3*z(d)?\nAnswer: 7*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -344*v + 767. Determine f(-4).\nAnswer: 2143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/11, -1\/33, 1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 2*w**2 - 3*w + (2*w - w + w)*(2 - 2 - w) + (-3*w + 6*w + 6*w)*(5*w - 2*w - 2*w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by (4\/((-8)\/30))\/((-9)\/60*2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*v - 2292, 2*v - 3*v = r - 764. Suppose 3*n = -n + v. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1552 divided by -229\nAnswer: -1552\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1892, 1893, 1894, 1895?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = 3*r, 0 = 7*g - 9*g - 4*r + 6. Solve 0 = -5*q + c + g, -3*c = -5*q + 63 - 48 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19409, 40734, 62035, 83306, 104541?\nAnswer: 125734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26919697.\nAnswer: 7, 1249, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1\/(-2)*(222\/(-185))\/(462\/2200).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 2*c**3 + 7*c)*(30*c + 4*c + 0 + 1).\nAnswer: 68*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373481.\nAnswer: 131, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0 = -9. Suppose w + 4*a - 22 = -0*a, w = -g*a + 17. Solve 8 = -2*v + w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3411 or -3047?\nAnswer: -3411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -6, -1914 in decreasing order.\nAnswer: 8, 2, -6, -1914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/53 - 33\/265. Is m equal to 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.011 - -85.011. Let s = 85.3 - f. Which is the biggest value? (a) -1\/4 (b) 0.7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59659223 a multiple of 647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 12. Let s be i(-7). Suppose -s*m + 30 = -15. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-32))**(-1\/20) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*r - 2, -r + 3*a = 4*a - 8. Suppose r*m - 3*w + 12 = -2*m, -2*m + 2*w = 8. Suppose m = -0*i - i + 6. Let f(t) = t**2 - 6*t + 7. Give f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -x - 3*l, -x - 2*x = -l - 11. Solve -3*p - 2 - 3 = d, 11 = -x*p - d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -6\/19, -1\/14, 4\/5, 0.3.\nAnswer: -6\/19, -1\/14, 0.3, 4\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 2*c - 2. Let j be o(0). Is 3\/(-1) - 2 - j - -14 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -111, -127, -139, -153, -175, -211?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 53. Suppose -x = 20*u - 24*u. Suppose v = 3*p - 4, u*p - 6 - 2 = 0. Solve v*t - a = -t + 11, 0 = -3*a + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62556.52ng to milligrams.\nAnswer: 0.06255652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxu when three letters picked without replacement from {x: 3, v: 7, u: 3, a: 2, t: 3}?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((2*sqrt(336)\/sqrt(8))\/sqrt(6) + sqrt(343)*4*4)*-3)**2.\nAnswer: -3274992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -17 - (166\/(-30) + 2\/15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -157*-0.6\nAnswer: 94.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -25*m**2 - 12*m. Let l(a) = -210*a + 26*a**2 + 3 + 223*a - 3. Let p(s) = -5*l(s) - 6*o(s). What is the second derivative of p(z) wrt z?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55698242.\nAnswer: 2, 59, 472019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 + 30*u - 2. Let y be j(9). Let r = y + -20. Solve -2 = 3*p + l + 4*l, -r*p - l = 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414437 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/5 of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136062 is divided by 110?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72.8 + 73. Let u(a) = a**3 - 4*a**2 - 5*a + 5. Let d be u(5). Let o = -1.9 + -0.1. What is the third smallest value in o, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 392? (a) 0.5 (b) 1\/4 (c) -22 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**4 + 5*l**3 + 53*l**2 - 5*l - 96. Let q(b) = -b**4 + 2*b**3 + 26*b**2 - 2*b - 48. Let a(c) = 2*j(c) - 5*q(c). Factor a(y).\nAnswer: 3*(y - 2)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61517*b**3 - 28*b**2*v + b*v + b - 1078*v - 265 wrt b.\nAnswer: 369102*b - 56*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.77 take away 87385458.6?\nAnswer: -87385462.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205 is divided by 598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, -0.08, 5, -1060 in decreasing order.\nAnswer: 5, 1, -0.08, -0.4, -1060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 2*k. Suppose 32 = 5*x - 2*m, -3*m + 36 = x + 2*x. Let g(j) = 5*j**2 + 6*j. Let t(c) = x*r(c) - 3*g(c). Factor t(z).\nAnswer: z*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3028 and 24224?\nAnswer: 24224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, m: 10, e: 1}. Give prob of picking 2 l.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10325*u**5 - 1152*u - 4 wrt u?\nAnswer: -206500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u + 12. Suppose -w - u = -f - 3*f, -2*w + 6 = 2*f. Solve 0 = -3*v - w*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fvffvvvvvfvgvvgg?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -17*4\/(-18) + (-4)\/(-18). Suppose -x = 4*z - 24. Solve -n - 20 = -z*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 277762, 4, -23 in ascending order.\nAnswer: -23, 1, 4, 277762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.7204 * 1\nAnswer: -0.7204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*1260\/120?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23)\/(4 - 5 - 0). Suppose -x = -9*l + 4. Solve 13 = 5*c + l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:35 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrz when three letters picked without replacement from {x: 1, z: 2, r: 3, u: 1, n: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-106)\/(-371)*(6 + 1)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 - 10*d + 18*d + d**2 - d**4 to the form x*d**2 + g + c*d**3 + k*d + o*d**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 676369 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12 = 4*b, 0*b + 6 = 3*b. Suppose -n*k = -6 + 2. Let m(p) = 5*p**2 + k + 4*p**2 - 1. Let v(i) = -i**2. Calculate v(m(q)).\nAnswer: -81*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.013 - -1.013. What is the closest to 0 in 0.4, r, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(102)\/sqrt(6) + 2 + -2*sqrt(1700) + sqrt(1700) + -2*(sqrt(17) - sqrt(68)))**2.\nAnswer: 42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*n - 5*x + 2, -5*n = 2*x + 14. Let f(w) = -6*w + 0*w**2 - 9 - w**3 + 3 - 4*w**2. What is the tens digit of f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 894*s + 1164*s - 2058*s - 123*s**2.\nAnswer: -123*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 + (-1 - 3) + (10 - 9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from azzazaarczznnfa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0 + t**2 - 1\/120*t**6 - 1\/15*t**5 - 1\/8*t**4 + t**3 + 0*t. What is the tens digit of h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -458*b**6*v**3 + b**3*v**3 - 2*b**2 - 423*b*v**3 wrt b?\nAnswer: -54960*b**3*v**3 + 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -5*b**8\/84 - b**7\/14 + 5*b**6\/24 + b**5\/4 - 5*b**4\/24 + 11*b**2. Find w such that q(w) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-147)\/(-63)*-18)\/(2\/(-18)) is divided by 137.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 1. Let j(a) = -5*a + 17. Let w(k) = j(k) - 5*z(k). Let q be w(5). List the prime factors of (-3)\/(-21) - (3720\/q + 0).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 209074534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p + 1. Let k be w(-3). Let h = 6 + -4. Suppose -4*o + 36 = -o + h*a, o = a + k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*1 - sqrt(19)) + sqrt(19))**2 - -5*sqrt(38)\/sqrt(2).\nAnswer: 5*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 10 = 0, c + 77*n + 41 = 72*n for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 72 = -4*q + 2*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -105051827, -105051826, -105051825, -105051824, -105051823?\n\"Answer: a - 105051828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.953 * -5\nAnswer: 4.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 1. Let q be t(-5). Let z = 8 + q. What is the highest common divisor of 24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-3 - -2)\/1). Let c(u) = -u + 2. Let w(l) be the first derivative of l + 11. Let t(r) = g*c(r) - 2*w(r). Let v(x) = -2*x**2. What is t(v(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 109064964 and -0.2?\nAnswer: -21812992.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.013102 days in seconds?\nAnswer: 260332.0128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 0*u. Let r(c) = 5*c - u*c + 1 + 0*c. Let g(s) be the first derivative of s**3 + 6*s**2 + 12*s - 33. Calculate g(w) - 12*r(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33991665 is divided by 8497894?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 0.4 (c) -0.5 (d) 2 (e) -3.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(2*y - 3*y - y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72077255*y**3 - 144154513*y**3 + 72077260*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + -0.11. Let k = m - -0.4. Let u be (-2)\/30 - 4\/(-10). What is the closest to 1 in 3, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, and 1 t when three letters picked without replacement from {a: 2, k: 5, c: 6, t: 1, x: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 160 = -i, -5*i + 13*x - 813 = 10*x. What is the third smallest value in -2, -4, i, 3, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.061 - -0.139. Let x = s - -0.1. Suppose -3*i = -8 - 4, 0 = 3*z - 2*i - 7. Which is the closest to 0.1? (a) z (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(288) + -1) + 0 - (sqrt(10) + sqrt(640))\/(sqrt(5) + 2*sqrt(20)).\nAnswer: -5 + 291*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + b)*((0 - 3 + 2)*(2 + 2 - 2) + 3 - 3 + 2 - 1 + 4 - 4)*(15*b - 19*b - 24*b).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:41 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -13. Let n be ((-1 + g)*1)\/2. Suppose -x - x = n*j - 5, -3 = 3*j. Solve -9 + 30 = -3*d - 3*h, x*d = 3*h - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3 + 147*o**2 - 12361*o + 12213 = 0.\nAnswer: -207, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -790399 - -218920.\nAnswer: -571479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 0*m**4 + 0*m**3 + 0*m**5 + 0*m + 192 + 273\/2*m**2 - 21*m**6. What is the second derivative of w(u) wrt u?\nAnswer: -2520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - o + 8, -9 = -2*b + o - 1. Suppose -4*i = -b*t + 308, 4*i + 174 = 2*t - 140. What is the units digit of (-24)\/(-10)*i\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4991759666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16580, 66216, 148950, 264788, 413736?\n\"Answer: f**3 + 16543*f**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 1142aa0?\nAnswer: 1142aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 11*z**2 + 6*z + 2. Let o be (-21)\/2 + (-2)\/(-4). Calculate the remainder when b(o) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/14 - (-16)\/(-56). Let p(f) = -98 + f**g + 100 - f**2 - f**2 + 2*f. Give p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z + 3. Is y(-13) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - 3*k**2 + 7*k**2)*(-8*k - 57*k - 19*k).\nAnswer: -84*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443147981 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0 + 6 - 52*o**2 + 165*o**2 - 54*o**2 - 58*o**2 + 4*o. Let a = 3 - 7. Determine c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -376 - -598. What is the remainder when g is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/3 - 78*x**3 - 1515*x**2 - 15404*x\/3 - 4828 = 0. What is x?\nAnswer: -213, -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 0.4. Let m = 11310 + -11310.3. Which is the third smallest value? (a) d (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3.8, -120, 19, 2\/7, -0.5 in ascending order.\nAnswer: -120, -3.8, -0.5, 2\/7, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 + -1?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 6*d**2. Let n(h) = -7*h + 0 - 18 + 8 - 21. Let l be n(-5). What is the remainder when 156 is divided by j(l)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 35 = 4*b. Let f = b + 13. Solve f = 2*a + 5*x, -7 = 4*x - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1583012 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/5 - 672*l + 789602\/5 = 0. Calculate l.\nAnswer: -1889, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*l = -1134*l - 60543 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0316659 micrograms in nanograms?\nAnswer: 31.6659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 - 2*l**4 - l**4 + (-323*l + 323*l + 18*l**2)*(-3*l**2 + 4 - 4) to v*l**4 + y*l + r + m*l**3 + d*l**2 and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3597 is divided by 223?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - (67 - 123 - -21).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447543.\nAnswer: 1447543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o = -5*d + 9, -2*d + 3 = -o. Suppose 4*r + 12 = -d*r. Let m = -88 - -88.2. Which is the smallest value? (a) r (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 0.1, -0.3, 0.29, 2\/15, -20, 69?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*r + 4743 - 1318 = -1306 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 2\/23 (c) -18 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 39*k - 359. Let t be c(-20). Let w be 23\/t + (-82)\/123. Find b, given that w*b**2 + 0 + 6\/7*b = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let n be 4 - 2 - (r - -1). Let d = n - -5. Solve -d*v - 4 + 29 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/62009218?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -456834.4\nAnswer: -228417.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/12 - 12*a**2. Let v(x) = -x**2. What is v(w(h))?\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.891605 nanograms to tonnes.\nAnswer: 0.000000000000009891605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 11*b - 7. Let j = -18 + 11. What is the units digit of l(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 128004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365862 and 2170.\nAnswer: 1829310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 6*p**2 - p + 6. Let q be m(6). Suppose q = -3*z, -3*j = -z - 2 - 1. Let i(h) = 2*h**2 - 2*h + 1. Calculate i(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 17*r + 445. Let g be v(30). Let m be 1 + -1 + 15 + 1. Let f = g - m. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13162160 to the nearest 10000.\nAnswer: 13160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 39*d**2 + 76*d - 48. Let o be x(37). Let w(p) = -25*p**2 - p - 1. Let k be w(-1). Let m = o + k. Solve -5*u - m = -16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*v + 29*v + 8*v + v + 4 - 4 + (3 - 1 - 1)*(3*v - v - 4*v) to the form g + d*v and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40663.\nAnswer: 7, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*(2\/12)\/((-27)\/(-1053))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 29*m**4\/4 - 29*m**3\/3 - 22. Find the third derivative of r(c) wrt c.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 8*v - 9. Let d be x(-6). Suppose d*p - 16 = -p. Solve p*m - m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(190)\/sqrt(40) + (sqrt(95)\/sqrt(5) + -4)*3)**2.\nAnswer: -49*sqrt(19) + 1127\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*c + 141*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + j)*(-258*j**3 - 568*j**3 + 157*j**3).\nAnswer: -1338*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 233*q**2 - 11*q + 2600. Calculate p(233).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74*(116370\/36 - 4*-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1569848 and 81\/29876?\nAnswer: 17268328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 2 - 2)*((1 - 3 - 1)*(3*n - 4*n - n) + 0*n + 0*n - n) to h + k*n**2 + y*n and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*h - 15 + 4 + 13 - 4*h in the form d + v*h and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -5*u**8\/168 - u**5\/15 - 3*u**2. What is the third derivative of w(a) wrt a?\nAnswer: -600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 5?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10405 and 1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311219, 311224, 311229, 311234, 311239, 311244?\nAnswer: 311249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyiydyddydi. Give prob of picking 2 d and 2 i.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i + 4. Suppose q + 8 = 5*x, i*q - 8 = 2*q - 2*x. Suppose -v + 27 = q*v. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39818*w + 39821*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(20\/5)*5292\/(-76734)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3030936*-2.\nAnswer: -0.6061872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3760\/192)\/((-111)\/(-18) + -7).\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*o - 17, -5*h = -2*h + 4*o. Let t = h + 14. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 27*f**2 + 4*f - 1. Let y be d(3). Let l be (y*(-19)\/(-11))\/(-16). Let c = 248\/11 + l. Find the common denominator of -125\/18 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943708679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-37130)\/47*(-6 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + x - 1 = 0, 5 = -h + 2*x + 3*x. Solve -4*a**4 - 2 + 26*a**3 - 2*a**4 + h - 9*a - 9*a**5 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (8 + 4 - (64 - 61)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a748 + 113?\nAnswer: -a635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 = -4*s, -3*o = -4*s - 8 + 32. Differentiate -2*t**2 + 0*t**2 - 4*t**2 - s - 3 wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**2 + 179*o - 6. Let q(s) = 9*s**2 - 180*s + 9. Let v(k) = 2*q(k) + 3*z(k). Find d, given that v(d) = 0.\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -194*x + 17*x**3 - 531*x**2 + 1839*x + 555*x**2 wrt x.\nAnswer: 102*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5\/3*u + 1\/3*u**5 + 6*u**3 + 16\/3*u**2 + 8\/3*u**4 + 0 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, f: 8, e: 2}. What is prob of sequence ef?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047972265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 322\/153, 0.4, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (-3 + sqrt(832)) - sqrt(832) - sqrt(832))*-4.\nAnswer: -12 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.0767, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 773 a factor of 3237324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -445, -442, -437, -430, -421, -410?\n\"Answer: m**2 - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1451 (base 6) to base 4\nAnswer: -12013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 4*d**3\/3 - 2*d**2 + 2*d - 125. Let x(p) = -2*p - 1. Let v be x(2). Is 26 a factor of g(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/((-2 + 3)\/(-10)). What is the greatest common divisor of 90 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-39)\/364) - -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2. Let o(v) = v**3 - 17*v**2 + 13*v + 48. Let b be o(16). Let r(y) be the second derivative of -7*y + 2\/3*y**3 + b + 0*y**2. Give w(r(d)).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 16*i**2 - 14*i + 69. What is the lowest common multiple of f(17) and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 6 - 1 - (4 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.02 or -999?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/38 + 254790018\/171. What is a rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2126 and 140.\nAnswer: 148820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -55, -2\/7, 1\/2, 45\/17, -2, 168?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {d: 1, p: 2, s: 7}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/((-7)\/(-14)). Let p be (-2)\/14*(-7)\/(-6). What is the nearest to r in 0, p, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28751 - 86251\/3. Factor -16*d + 2\/3*d**2 + 4*d**3 + 32\/3 + w*d**4.\nAnswer: 2*(d - 1)**2*(d + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.35 + -18.45. Let f = y - -19.91. Put 2, f, -3, 1\/8 in ascending order.\nAnswer: -3, f, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -41 + 1 + 2 + -1. Let y = 15 + -38. Let x = y - q. Calculate the smallest common multiple of x and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0 + 0)*(2*v + 2*v - 2*v) - v**3 + 0*v**3 - 2*v**3 + (2*v + v**2 - 2*v)*(2*v + 59 - 59).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8534, 0.05, 40, -2\/3, -5?\nAnswer: 8534","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*g = 35, 8*m - 4*m + 2*g - 4 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**10*j)\/j*j*j*j**(-1) assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 83*t**6\/30 + t**5\/60 + 197*t**3\/3 + 258*t**2. Differentiate j(p) with respect to p.\nAnswer: 996*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*f*l**3*r**2 + f*l**2*r**3 + 19*l**3*r - 26*l*r**3 wrt f?\nAnswer: -10*l**3*r**2 + l**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 16*o - 45. Let m be l(-12). Suppose 4*p - 251 - 179 = 2*s, -4*p - m*s = -405. Calculate the remainder when p is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a3b2 + 20c?\nAnswer: -a1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11))**49*(b**19)**48 assuming b is positive.\nAnswer: b**(9934\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 183674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 317 - 277. Suppose -f = -32*v + 24. Solve -3 - 5 = v*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228739, -228404, -228069?\nAnswer: -227734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4100\nAnswer: -1\/820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 27220.\nAnswer: -33\/27220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -17263 and -81677816.\nAnswer: -81695079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*r - 291*r - 8 = -3*o, 0 = -o - 3*r - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.1847 hours to minutes.\nAnswer: 1331.082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 0 + 2\/5*o**4 - 2*o**3 - 6\/5*o + 14\/5*o**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.86597 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -2 - (-7 - 1). Let i = 615.54 - 610. Let n = i - 4.54. Put n, -2, r in decreasing order.\nAnswer: r, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2003208986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 s when four letters picked without replacement from tttttppsps?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34568600*m**4 - 20620708.\nAnswer: -138274400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 43. Let c be i(-7). Suppose -210 = -8*y + c*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 41*p - 46*p - 40 = 0, 4*l - 268 = 21*p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/8 + 17215\/3300 and (9\/12)\/(18\/412)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*l**2 + 30*l - 38*l + 27*l**2)*(-4 + 3 - 1)*(-2 + 0 + 1) in the form x*l + i + f*l**2 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 10 = 14*b. Solve b*h + 1 + 5 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffyyyyyyffyyyffyyy?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n - 2*d - 3195 = 0, 0 = -n - 4*d + 661. Let w = n + -280. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:10 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24461 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1408)*-6)\/(sqrt(11) - (sqrt(55) + sqrt(440)\/sqrt(8))\/sqrt(5)))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q\/(q*q**(-4)))\/q))**12*(q**(-3)*q)**(-1\/7) assuming q is positive.\nAnswer: q**(-250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98\/5 - 20. Let d = 3\/7 - 5\/28. Let i = -11 + 32\/3. Which is the nearest to d? (a) j (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.2. Let u = 5.93 + -6. Let l = 19.37 - 15.37. Which is the nearest to w? (a) 2 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 42, -5, -14866 in ascending order.\nAnswer: -14866, -5, 4, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*g**2 - 36*g**2 + 29*g**2 + (-5*g**2 - 3*g**2 + 6*g**2)*(1 - 2 + 3) in the form v*g**2 + t*g + r and give v.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 2009110 and 106.3636.\nAnswer: 2009216.3636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33634 >= 33634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-13)\/w*(w*w**(-2\/9)*w)\/w)**(1\/3) assuming w is positive.\nAnswer: w**(-110\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y**2 + y + 4. Let z be k(3). Suppose 2*s - 21 = -3*t - 4, -z = -2*s + 5*t. Calculate the lowest common multiple of s and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/2 + 33\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 16 = n, 0 = -n + 2*q - 6*q - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-6)\/(-3))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2614 by -17.\nAnswer: 2614\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*q + 120 = 0, 5*q - 49 - 31 = -5*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -781 greater than or equal to -781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 5*h - h)*(-2 - 3 + 6) + 3*h - h - h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 0*z + 0*z + (-1 + 3 - 3)*(-z + 0*z - 2*z) - z + 4*z + z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499624*q + 249758*q + 249866*q - q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 668682 divided by -7686\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 105083016 to the power of 1\/2, to the nearest integer?\nAnswer: 10251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ell. What is prob of sequence el?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 475\/(-57)*164\/984 - (1 + 38\/(-36))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 1 = -w. Let r(m) = -2*m**2 + 38*m + 5. Let s be r(w). Solve 0 = s*z + 5*n + 30, -5*z + 10*z = 3*n - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 + 151074168*k + 1901950353074352 = 0.\nAnswer: -25179028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 + 9*a**4 - 2922103*a**3 + 54509485*a**2 wrt a?\nAnswer: -60*a**2 + 216*a - 17532618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/4*1960\/(-588)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 533371.9 centuries?\nAnswer: 53337.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let f(z) = 13*z. Let w(s) = -27*s. Let n(i) = 9*f(i) + 4*w(i). Let h be n(o). What is the highest common factor of 81 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 30*a**3 - a**2 - 36*a + 77. Give c(2).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -7013 and -28053\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {s: 2, z: 3, f: 5, o: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 74 = -4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 412.2 to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 9*x + 6. Suppose 3*b = 2*z + 11, 5*b + 3*z - 52 = -2. Let r be h(b). Solve 3*u + u + r = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5. Let a(p) = p**2 - 9*p + 6. Let d be a(7). Suppose 0 = 23*m - 31*m - 88. Let k = m - d. Let o(t) = 3. Give k*l(f) - 5*o(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1589 divide 155674330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0*a**4 + 29\/6*a**3 + 0 + 7\/5*a**5 + 0*a**2 - 8*a. Find the second derivative of s(w) wrt w.\nAnswer: 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 250*f**5 + 4*f**2 + 2293*f?\nAnswer: 5000*f**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*g + 14*g - 13*g - 46*g - 11*g.\nAnswer: -63*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902589461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o + 3*o - 18*o + 5*o**2 + 0*o**2 - 4*o**2 in the form j + v*o**2 + r*o and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -4 - (-3 - 20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -7. Let o = m + -45. Let p = o - -102. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7567360 - 7567360 + 9891*k**2 as m*k**2 + r + l*k and give m.\nAnswer: 9891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17091 is divided by 1705?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.4, -0.01 in increasing order.\nAnswer: -2\/11, -0.01, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 2) in base 8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 887*y + 9. Calculate g(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezeeeeeeeeze. Give prob of picking 1 z and 2 e.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 107, -2, 0, -22, -0.83?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -589*v + 886. Is h(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 648 - -4?\nAnswer: 64c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 59*s - 302. Calculate u(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 7 - 36*q - 11*q**4 + 9*q**4 + 37*q to the form w*q**2 + c*q + o*q**3 + y + z*q**4 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1012011011 (base 3) to base 5\nAnswer: -1222230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = 5*a, 222 = 4*z + a. Suppose -6*s + 8*s = z. Let w be (8\/28)\/(2\/s). Solve -j + w = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/5754254 and 95\/22?\nAnswer: 5754254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2197 divided by -3?\nAnswer: 2197\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-838)\/(-3234) - (13\/2 - 3562\/572)?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 + 282. Suppose 0*k + 16 = 4*k. Suppose -k*d = -4*o + 152, 96 = 3*o - o + 2*d. Calculate the remainder when o is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from {k: 5, x: 9}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -919a74 (base 16) to base 4.\nAnswer: -210121221310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 792455\/799293 - (-1 - 0)\/(-1). Let t = -8\/1749 + i. Let d = t - 18725\/914. Which is greater: d or -21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1006, 5, 0, -1.51, -1\/3 in ascending order.\nAnswer: -2, -1.51, -1\/3, 0, 5, 1006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 c, and 1 r when three letters picked without replacement from {c: 3, r: 4, p: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 561907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54917329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -21. Let t = 0 + -2. Let g = d - t. Which is the second biggest value? (a) -2\/9 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/80)\/((-5)\/(-1320)*-4).\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -3.64395 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 100? (a) -2\/8589 (b) 0 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1738 and 107\/1580?\nAnswer: 17380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -33*y - 4. Is n(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.5, 76, 2 in ascending order.\nAnswer: -18.5, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) + 8\/30 + (-1951915)\/(-44975)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaiaaiiaaaaaaaa. Give prob of picking 1 i and 1 a.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06112799 - -492379?\nAnswer: 492378.93887201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - g = -3*n - 13, 4*g - 20 = -4*n. Suppose 15 - 55 = -n*w. Calculate the smallest common multiple of w and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:57 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13350, 10088, 33528, 56970, 80414, 103860, 127308?\nAnswer: 150758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 8*i + 12. Suppose -62*f - 2 = -61*f - 4*l, -4*f = 3*l - 49. Let z(p) = -p - 1. Calculate f*z(d) + t(d).\nAnswer: -4*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69670 is divided by 5273?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 9:17 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(3))\/sqrt(4) - sqrt(5)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/189 + (-5)\/18. Which is bigger: t or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**2. Let g(b) = 42353*b. Give s(g(f)).\nAnswer: 16143989481*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 339972 and 4013328.\nAnswer: 164546448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125299204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*q**2 - 18*q**2 - 3*q**2 + (-4*q - q + 4*q)*(-2*q + 0*q + 0*q)*(-2 + 1 + 3).\nAnswer: -65*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6551 = -263*t - 15243 + 1543 for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53400 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -9. Let w = 106 + -110.7. Let i = 5 + w. What is the closest to -2\/3 in i, -3, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-10 - -10)) + 34 + (-3 - -7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -6\/491, 10 in descending order.\nAnswer: 10, -6\/491, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(sqrt(6)*2))\/(sqrt(9)\/(sqrt(12)\/sqrt(4))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b - 13. Let u(l) = 5*l + 7. Give -11*u(w) - 6*v(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 + -94. Find the third derivative of 415 - 415 - 80*d**4 - 2*d**2 - b*d - d wrt d.\nAnswer: -1920*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -942807500 to the nearest one million.\nAnswer: -943000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.405523 grams?\nAnswer: 6405523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039 (base 14) in base 16?\nAnswer: -aeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*b + 119, 0 = -4*b - 0*u + 3*u + 129. Let g = 115 + -111. Calculate the greatest common divisor of b and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 11:42 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 2169?\nAnswer: 10845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 87*b - 605. Let h be q(7). Solve -8 = -h*c, -5*i = -10*i + 5*c - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9693 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 614491 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18739031867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (2 - (-9 + 40))) + -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 6) to base 8\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 311514 and 2807.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1098 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 185\/1887 + (-2)\/6. What is the biggest value in 2, 12, i?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -358*v + 224?\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 5*u - 11, 3*m = -5*u + u - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 4*i = 2*b + 290, 0 = -i - 5. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:26 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - t**3 + 5 + 1 - 5*t**2 + 1. Suppose -18*o + 821 = 911. Let p be u(o). Solve -20 = 5*v + 4*c, -4*v + p*c = 2 + 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 481 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-906)\/(-126) + (-14)\/2. Is c > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1832690237 + 1832690256.00000002. Let m = x + -19. What is m rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 80 + 22 = -4*n, 4*n - s - 46 = 0. Solve -n*j + 1146 = 1176 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-1 - -2)) + (-10 - (7 - 9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 + 6*h - 3. Let a(v) = -6*v**2 - 13*v + 7. What is -6*a(g) - 13*p(g)?\nAnswer: -3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 144. Let f = -1419.94 - -1477. Let s = f + z. Which is the closest to -3\/2? (a) 0.3 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mddmmppd. What is prob of sequence mmdd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-1.97.\nAnswer: -15.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01235031 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8111975 and 1088?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimgdhhdimmhtg. What is prob of sequence mtd?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -0.3, 117, 546, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14175243.81ms in weeks?\nAnswer: 0.023437903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -12. What is the remainder when o is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(8\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-10)*(-2 - (-36)\/(-3)). Suppose 6*m + 22 = g*m. Calculate the greatest common divisor of 44 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 16*x - 19*x + s, -8*x + 31 = -10*x - 5*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221220112021121 (base 3) to base 15.\nAnswer: 131e9bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14*22\/(-55)*5\/(-4). Solve z*r = 4*u + 12*r + 1, -5*u - 4*r = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6) - 1)*243\/(-27). Solve s = -u*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 236 = 364 - 198. Let i be (0 - 0)*(-1 + 2). Put t, -0.2, i, -1.2 in descending order.\nAnswer: t, i, -0.2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/25 - 1406\/(-10). Let d be p\/6*-2*-19. Is (4 - d)\/((-1)\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 13 + 4 + (0 + 0 - 2)*(2 - 2 + 2) + 0 - 6 + 4 + 1 - 1 + 1 + 1 + 1 - 1)*(-42*b + 34*b + 44*b + 1 - b - 1 + b - b + 2*b + (-2 - 1 + 5)*(-1 + b + 1)).\nAnswer: 195*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l + 76. Let d be v(-14). Let b be d\/4 - (539\/(-14))\/11. Solve -4*c = -f - 12, 5*c + b*f - 22 = -7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**3\/3 - 7*l**2 + 4*l. Let x be r(-6). Which is the closest to -0.1? (a) -3 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*-4*5\/100.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 716535 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - 0)\/((3 + -4)*-2). Let x be 4\/1*(-3)\/54. Which is the second biggest value? (a) 0 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, a: 1, n: 1, w: 1}. What is prob of picking 1 q and 1 n?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 15*g. Let t(c) = -2*c**2 - 8*c + 2. Determine 3*m(f) - 5*t(f).\nAnswer: f**2 - 5*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (7 + 7)) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let u be (-65)\/260 + (-10)\/(-8). Let y(c) = -c + 2. Calculate u*y(m) + 4*w(m).\nAnswer: -5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - h**2 - 15*h + 5. Let o be m(4). Let p(i) = -8*i - 18. Calculate the smallest common multiple of p(o) and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*k + 2400 = -705*k + 1339*k for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26718 divided by 13359?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.43988 - -0.14022. What is t rounded to two decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 870 and -215.\nAnswer: -187050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/6)\/(1\/(-3)). Let q be 4*(2\/(-1))\/(-2). Suppose 5*s + 34 = 104. Solve 0 = f*u + s - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -589899*i**3 + 7*i + 7040.\nAnswer: -3539394*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -3*q**2 + 105. Let d(j) = -12*j - 1. What is d(k(m))?\nAnswer: 72*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871283415 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 5 - (21 - 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21464 - -5?\nAnswer: -21456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*j - 95*j + 2432 = 76*j. Calculate the smallest common multiple of j and 1512.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/3 + 34*y**4\/3 + 62*y**3 - 1858*y**2\/3 - 5248*y\/3 + 5320 = 0 for y.\nAnswer: -6, -5, 2, 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i**3 - 3*i**3 - 10*i**3.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpeepvevvvvoeovvee. Give prob of picking 1 o, 1 p, and 1 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -7.6. Let r = -9.6078 + j. Round r to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/9))\/b)\/(b\/b**(3\/7))*((b*b**(-1\/7))\/b*b*b)\/b**0*(b**(-4)*(b**(-6)*b)\/b)**26 assuming b is positive.\nAnswer: b**(-16285\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -183488 divided by 1?\nAnswer: -183488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -18 - (0 - (0 + 0)). Let n be u + 3 + (4 - 1). Let f be (-3 - -5) + n\/8. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = d. Let s be (d + 1865\/(-20))\/(1\/(-4)). Let l = -144 + s. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54432 and 13320531.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**3 + i**4 - 4*i**3 + 2*i**2 - 2*i**4 - 2*i**2 + (3 - 2 + 0)*(-i**4 + 0*i**4 + 0*i**4) - 473*i**4 + 833*i**4 - 428*i**4.\nAnswer: -70*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75405665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -55. What is the least common multiple of d and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3564 + -3526. Let a be (-2)\/(-2) + 0 + 32. Let i = f - a. Solve -t + 3*t + 2*s + 8 = 0, i*t = 3*s - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20fc0 (base 16) to base 10\nAnswer: 135104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.317 - 0.317. Sort 21, r, 3, -0.4.\nAnswer: -0.4, r, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -0. Let r(l) = l**3 + l**2 - 11*l + 4. What is the least common multiple of r(3) and 0 + ((-3)\/(-3) - s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77) - sqrt(77))*-4 + sqrt(77) - 2*sqrt(77)*4)\/(sqrt(11) + sqrt(99)*6 + 2*sqrt(1584) + sqrt(1584)).\nAnswer: -7*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*f**3 + 3843*f**2 + 540*f - 156.\nAnswer: 3*(f + 26)*(7*f - 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (76\/(-910))\/(2638\/(-171470))\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-10)*-1*5. Suppose 5 = -3*x + 2*j, n*j + 2*j - 16 = 4*x. Let t(r) = -r**3 - r**2 + 1. Let q(d) = -6*d**3 - 5*d**2 + 5. Calculate x*q(p) - 5*t(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137924964?\nAnswer: 2, 3, 1277083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttptp. What is prob of sequence pptt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = 2*x. Suppose 0 = -4*y - 16, 16 = t + y - x*y. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/124 or 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28445 or -199125\/7?\nAnswer: -28445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 6*f**2 + 3. Let v be y(6). Let s(r) = r**3 - 5*r**2 + r + 4. Let l be s(v). Let t = 4 - l. Solve -3*k + t = 0, 4*c + 2 = k - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 + 4. Let s be z(-4). Let y be (s\/16)\/((-2)\/8). Suppose -2*m + y + 49 = 0. Calculate the highest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**7\/63 - y**6\/45 + y**5\/15 - 7*y. Factor t(m).\nAnswer: -2*m**3*(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3964 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660 and 9152?\nAnswer: 137280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28958*o**3 - 33523*o?\nAnswer: -173748*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*n + 64*n + 235*n to the form p*n + u and give p.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((2 - -5) + -4 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6352 divided by 2.\nAnswer: -3176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuuqu. Give prob of sequence zuuq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 3*b - 4. Let j be m(3). Let x = 64\/5 + j. Let l = 0.13 - 1.13. Put 4, x, l in ascending order.\nAnswer: l, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 382 and -0.03707858.\nAnswer: 381.96292142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(162) - (-1 + sqrt(162)))*-6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 154662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85*f**5 + 2871 - 2871 + (-2*f**4 + f - f)*(-f - 5 + 5).\nAnswer: -83*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:32 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*c - 7*c**2 + 24*c + 3*c**2 to the form g + w*c + m*c**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001715 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/5 - 417*c\/5 + 7956\/5.\nAnswer: -3*(c - 17)*(c + 156)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3885, -3880, -3865, -3834, -3781, -3700?\n\"Answer: h**3 - h**2 + h - 3886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 282211 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: Let o(h) = 9818*h - 9818*h - 2*h**2 - 2*h**2. Let v(c) = -1832*c. Give v(o(u)).\nAnswer: 7328*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -887, -1229, -1573, -1919?\nAnswer: -2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 266 divided by 38\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 280*h + 460. What is the lowest common multiple of r(12) and 2?\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -3937a2?\nAnswer: 3937a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.1. Let p(k) = 5*k**2 + 26*k + 24. Let v be p(-1). Which is the fourth smallest value? (a) -5\/6 (b) v (c) -2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(-34)*j**(-13) assuming j is positive.\nAnswer: j**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 0*n**2 - 3*n**2)*(-5*n + 3*n + n)*(2 - 11 - 4)*(30 - 19 - 18)*(-3*n - 6*n + 2*n).\nAnswer: 637*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 2*v + 136 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 40 = -14*p. Suppose q = p*q. Let n = -0.9 - -1. Which is the smallest value? (a) n (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.918435 weeks in seconds?\nAnswer: 3579469.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7892 - -8100. Solve -5*o = -31*o + r for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 less than or equal to 661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*m + 60 + 2362 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*n + 4\/3*n**2 + 4\/3*n**3 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/36 + 6659848\/3276 + (-2)\/14. What is the highest common divisor of 38 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 750\/10 - (-4)\/(-2). Let q be x + 3*(-4)\/(-6). Let s be (13 - (36 - 20))\/(6\/(-50)). What is the highest common factor of s and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 534199 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5)*w)\/w)**(1\/29)\/(w**0*w)**(-22) assuming w is positive.\nAnswer: w**(3191\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 12 - (-21 + 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5966, -11343, -16128, -20321, -23922?\nAnswer: -26931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28f26 (base 16) to base 3\nAnswer: -22112001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125*a**6 + 397*a**2.\nAnswer: 15000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156) + sqrt(156)*1) + -4*(sqrt(156) - (4*sqrt(156) - sqrt(156) - sqrt(156))))\/((sqrt(132) - -1*2*sqrt(132))\/(sqrt(33)\/sqrt(3)*-4)).\nAnswer: -40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2775191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 828494 by 9.\nAnswer: 828494\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6945.766 and 0.1.\nAnswer: 694.5766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120148\/89 + 1350. Let i = 105\/712 - a. Calculate the common denominator of 38\/40 - (2 - 1) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 280 + 28. Let p = -179 + u. List the prime factors of p.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(3\/42)\/((-1)\/1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**5 + 7*c**4 - 10*c**3 - 34*c**2 - 6*c + 12. Let m(a) = -a**5 - 8*a**4 + 11*a**3 + 33*a**2 + 5*a - 10. Let b(d) = 6*m(d) + 5*p(d). Factor b(g).\nAnswer: -g**2*(g - 2)*(g + 1)*(g + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -37. Suppose -4*b + b + 25 = 4*y, -40 = -5*y + r*b. Solve 3*i - 2 = y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1470 + 5229 = 7*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419 a factor of 4005124662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 1. Let k(d) = 5*d - 5. Let h = -22 + 11. Let f = h - -10. Determine f*k(z) + 4*s(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhchhghvgcg. Give prob of picking 1 c and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967798866?\nAnswer: 2, 3, 5113, 31547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-20 - -17) + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = k + 57*q - 114*q + 59*q, -4*k + 3*q = -4 - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*r + b - 0, b - 1 = -5*r. Suppose 84 = -r*a + 2*a. Calculate the remainder when a is divided by 9 + (44 - 27) - 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z - 12 - 6*z - 3*z as g*z + t and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3889 - 3793. Calculate the highest common divisor of f and 2016.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*i + 116 = 0, -40*i + 44*i = 2*o - 84. Calculate the lowest common multiple of o and 700.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/20 + -11855*(-12)\/150. Let h = 2109 - q. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*q**3\/4 + 377*q**2\/2 + 501*q\/4 - 135\/2.\nAnswer: -(q - 45)*(q + 1)*(17*q - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 8 - 1\/2*i**2 + 8*i - 2969\/3*i**3. Let j be z(-8). Round j to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 8*n = 102. Let x(v) = -5*v - 5. Let p(m) = -4*m - 4. Calculate n*p(h) - 5*x(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b - 7. Let g = 8 + b. Let t(y) = -5*y**3 - 68*y**2 - 35*y + 54. Let x be t(-13). What is the greatest common divisor of g and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085809 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -1, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/12 - 95*f**2 + f. Let v(x) = -44*x**2. Determine v(o(c)).\nAnswer: -1100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891103 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159340?\nAnswer: 2, 5, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-712901)\/21)\/(3\/54). Suppose 6*v - d - 8509032 = 0. Round v to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.0025 - 17. Round z to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 6*g**3 - 6 - 4*g**3 in the form q*g**2 + y + x*g**3 + s*g and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w - 50 = 43*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15*(210\/(-325) + (-6)\/39). Suppose -g - 5*j - t = -38, -3*g - j = -50. Factor -12*k**2 - 20 - g*k - 15 + 49 - 18.\nAnswer: -4*(k + 1)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-63) - (-168)\/27. Calculate the remainder when 26 is divided by (0 + 3)*28\/y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:07 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*c**3 + 0*c - 1\/3*c**4 + 0 - 1\/3*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) + 62\/(-4). Let q = f + 21. Let k = q + -9. Let h(a) = -2*a + 2. Give h(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138 (base 9) to base 8.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5, -33*z = -29*z - 3*r - 31. What is the biggest value in -1\/23, z, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - -10. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p**3 - 24*p**2 + p - 4. Let o be l(-3). Let g = 15 + -10. What is the third smallest value in g, 2, o, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -66*(1 + 1\/(-3)). Suppose 10*d - 5*d = 325. Let p = y + d. Calculate the highest common factor of 14 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82? (a) 1\/5 (b) 2\/5129 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/2)\/(6\/(-16)). Suppose -14*j = -16*j - 12. Let l = o + j. Calculate the greatest common factor of 56 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + 2*i + 1. Let l = -22 - -21. Give x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + 19. Let z = -53880 + 53882. What is the least common multiple of z and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-4 + 4)) + 6 - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 18 = -3*v, 0 = -2*v + 7*v - 3*a - 34. Suppose 3*q - 2*q - 5 = 0, 2*s - 143 = -v*q. Calculate the remainder when s is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1547)\/(-1020) - (-3)\/(9\/(-5)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*b - 123 + 247 - 125 with respect to b.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42189 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/15)\/((-1)\/52255). Let i = -106255 + h. What is i rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 542 = 65 - 219. Solve -96*y + l*y = -36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516 (base 10) in base 12?\nAnswer: -a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, u: 1, p: 2, j: 3, l: 3, s: 3}. What is prob of picking 1 j, 1 p, and 2 s?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11663)\/(-2) + (-4 - -6). Let a = p + -6074. Let t = a - -250. Which is greater: 10 or t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/48*13968\/(-291).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23941, 1247\/5, 0.2, 4?\nAnswer: -23941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 19 = n, -24*n + 5*x - 759 + 760 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24486)\/(-18) + 10\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/80 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 5 = n + g, 4*g = n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 9\/2062, -3\/7, 1022.\nAnswer: -3\/7, -0.1, 9\/2062, 1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -77029*j - 1694634. Calculate g(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Suppose h*g = 61 - 19. Suppose 2*b = 14 - 4. Calculate the remainder when g is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6348681?\nAnswer: 3, 705409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 823398?\nAnswer: 7410582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 5*y - 2*y)*(4 - 66*y - 5 + 74*y) in the form v + w*y + a*y**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4 - 2 = 4*u, 3 = -w + 3*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -256 + 205. Let u = m + 59. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421 (base 7) in base 16?\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 50 = 2*v, 256*v = 5*w + 261*v - 135 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-377)\/(-117) - (-2)\/(-9). Suppose 0 = u*o - 25438018 - 5461982. What is o rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 7995617.\nAnswer: 3\/7995617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -111111100 (base 2) to base 10\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -62, -27, 733?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 7*x**4\/12 - x**3\/3 - x**2 + 10*x - 87. Let b(t) = 90*t**2 - 27*t - 27. Calculate -2*b(r) + 27*o(r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.1, -47, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -7*m + 0 + 2\/3*m**3 - 2\/3*m**4 + 4*m**2 - 1\/5*m**5. Let t(h) = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 1, d: 1, p: 1, z: 1}. Give prob of sequence zdv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1443*g**4 + 6*g**3 - 373*g - 94680241 wrt g?\nAnswer: 5772*g**3 + 18*g**2 - 373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s, 5*s - 2*s - 4 = 4*q. Let w be 0 + (-17)\/12 + 9\/12. Sort 0, -3\/2, q, w in decreasing order.\nAnswer: 0, w, q, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**5\/60 + j**4\/8 - j**3\/6 - j**2. Let u = 1080 - 1078. What is y(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-2688.36.\nAnswer: 13441.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 233 = -19. Let y be r\/(-8) + (-205)\/164. What is the greatest common divisor of y and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/10 (b) 5 (c) -2111 (d) 3 (e) 0 (f) 1 (g) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-15) + 9\/(-15) + (-471841474)\/(-195). Round j to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5 + 10*y + 2*y**2 - 8 + y**2 - 19*y. Calculate the remainder when d(5) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1000)*1 - sqrt(1000)) + sqrt(1000) + (sqrt(1000) - sqrt(1000)*-2)*3)\/((sqrt(5) - sqrt(375)\/sqrt(3)) + sqrt(245) + sqrt(245)*-1).\nAnswer: -25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -32, -46, -64, -86?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/415 and (6\/(-152))\/(28350\/952 + -31)?\nAnswer: 7885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88, 106, 110, 94, 52, -22?\n\"Answer: -u**3 - u**2 + 28*u + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63617 minus 9.4?\nAnswer: -63626.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-90)\/(-75) + 21\/(-5). Let c(h) = -235555*h**3 + 2*h**2 + 4*h + 9. Let g be c(y). Round g to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14*f**3 + 249*f**2 - 301*f + 51. Determine r(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2512620 and 285525.\nAnswer: 12563100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -36. Suppose b + 450 = 5*a + 3*b, -180 = -r*a - 2*b. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 7\/78*t**4 - 41*t + 2\/13*t**2 + 0 + 3\/13*t**3. Factor o(q).\nAnswer: 2*(q + 1)*(7*q + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, -4, -26, 4, -1 in descending order.\nAnswer: 4, 0, -1, -4, -15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-2 - (-9 + -9 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(130) + sqrt(130) + -1*sqrt(130)*3 + -1*(sqrt(130) + -1*sqrt(130) + sqrt(130)) + sqrt(130)))\/((-4*sqrt(90)*-2)\/(sqrt(90)\/(sqrt(10)*-1))).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:22 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*k - 3*k**2 + 21*k + 0 - 2 to the form f*k**2 + j*k + s and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h. Let a(m) = 15*m + 1. Let u(j) = -6*a(j) - 13*r(j). Suppose 4*n = -4*s - 32, 0*s - 16 = -3*n + 5*s. Let d be 1 + (10 - 3) + n. What is u(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0 + 2*z + 1\/6*z**3 + 3*z**2. Suppose 12 = 3*p - 6*p. Give b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/36 - 2\/9. Let l = 0 + 0. Let z be 3 + ((-3)\/3)\/1. Which is the nearest to v? (a) 0.3 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -119 and -0.01054.\nAnswer: -119.01054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 9, -2\/15, 2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30 - 25*b**4 + 28 - b**2 - 35 + 2*b**2 with respect to b.\nAnswer: -100*b**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0 - 9*r**2 - 11\/8*r**4 + 0*r + 0*r**3. Let n(z) = -2*z. Determine n(g(p)).\nAnswer: 66*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -21. Suppose -d = m*d. Suppose d = -5*l + 4*l + 10. Calculate the highest common factor of 80 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 + -70 - (-19 + 8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13\/(312\/16290) + (-2)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(sqrt(200)\/sqrt(4) - (sqrt(2) + -1 + -3)))**2.\nAnswer: 800*sqrt(2) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334823548, 334823550, 334823552, 334823554, 334823556, 334823558?\nAnswer: 334823560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227646 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 465*b - 52420. Calculate o(274).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*-4 + (sqrt(120) + sqrt(120)*-3)\/sqrt(12))\/(5*(sqrt(605) - sqrt(605)*-1 - sqrt(605))*-6))**2.\nAnswer: 18\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {f: 1, o: 2, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:23 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 11*z**2 - 2*z + 80. Let o = -330 + 323. Let x be g(o). Which is bigger: -101 or x?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1360577 (base 9) to base 16.\nAnswer: -b6b8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.01626555 * 0.1\nAnswer: -0.101626555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 - -0.2. Let x = 169\/2 - 87. What is the smallest value in x, 0.5, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o. Let d(z) = -2*z**2 - 2*z + 12. Give -d(g) - 3*r(g).\nAnswer: -g**2 - g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b8 (base 14) in base 9?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2. Let o(r) = -98*r**2 + 28*r + 196. Let t(q) = 2*q**2 - q - 7. Let n(s) = -3*o(s) - 84*t(s). What is a(n(m))?\nAnswer: -111132*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnv when three letters picked without replacement from nvvvavvavnaavaa?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 - 61*g**2 + 61*g**2.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436\/7 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + q + 2, -5*a - 3*q = -8. Let c = 2326053\/13 - 178927. What is the third biggest value in c, a, -2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54, -54, -6, 114, 330?\n\"Answer: 4*f**3 - 28*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 974, -2, 4 in descending order.\nAnswer: 974, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-2277)\/138*8\/(88\/(-15))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-142)\/(-142))\/((-18)\/8).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/11 + 4548*p**2\/11 - 13626*p\/11.\nAnswer: -2*p*(p - 2271)*(p - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, x: 2}. Give prob of sequence xfff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102\/5 + 12\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -900 + 904. Suppose 5*k + 1144 = o*h, -16*h - 5*k = -12*h - 1184. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0*m. Solve 4*w + 4 = -2*o, w + 5*o + 10 = -m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/((-120)\/1680).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -947, -1892, -2837, -3782?\n\"Answer: -945*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -265 - -265.5. Put 1, -4, -1, g in decreasing order.\nAnswer: 1, g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqp when three letters picked without replacement from {q: 4, p: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5049, -5039, -5031, -5031, -5045, -5079?\nAnswer: -5139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, u: 6, x: 4}. What is prob of picking 3 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4\/7 - 6*b**3 + 417*b**2\/7 - 552*b\/7 - 144 = 0.\nAnswer: -21, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.368 and -3669.862?\nAnswer: -1350.509216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.02. Let z = u + 0.32. Let q = 60 - 63. Which is the nearest to -1? (a) q (b) -6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = p + 3*m, -3*m = 2*p + 2*m + 44. Let t be 4 - -4 - (-3 + p). What is the greatest common divisor of t and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706*w - 11 + 27 - 20 - 4.\nAnswer: -706*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + (sqrt(2916)*3)\/sqrt(12)) + 6*(sqrt(3267) + (1*sqrt(3267) + sqrt(3267))*-1 + sqrt(3267)))**2.\nAnswer: -2430*sqrt(3) + 19908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 18*j**2 + 21*j - 24. Give v(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 + t**2 + t**2. Let g = 14 + -5. Let n be g\/(-12) - (-2)\/(-8). What is l(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/5 - (-252)\/240. Suppose 2*m + 2*q - 9 = 3*m, 0 = -2*m + 5*q - 21. Put l, m, 4 in increasing order.\nAnswer: m, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-12)\/(-2)*(-12)\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1847 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssddssddsddddddddds. What is prob of sequence dds?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 6*o - 2. Let p be d(-3). Suppose -5*n = 7*y - 2*y + 5, -y + p = 3*n. What is the units digit of n*-1*(-6)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 37396.7\nAnswer: -37348.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6168797303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3771177 (base 9) to base 14.\nAnswer: -3b6a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46990, 188193, 423560, 753115, 1176882, 1694885?\n\"Answer: 4*o**3 + 47058*o**2 + o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20011 (base 3) in base 10?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 - 64716?\nAnswer: -64782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/42)\/((d\/(d\/((d*d**(-11))\/d)))\/d)*d**(3\/13)*d\/(d**(9\/11)\/d)*d assuming d is positive.\nAnswer: d**(86419\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-183 + 2897 - 714 - 82 + 1151 + 2041)*(-15 + 15 + 11*u**2) as t*u + x + i*u**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-2))\/(-1 - (-63)\/56). Suppose 0 = u*g - 915 - 533. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + o - 1. Let y(t) = -22*t**2 + 3*t - 3. Let l be 2\/(16\/24) + -2. Give l*y(r) - 3*a(r).\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1245982999*a**2 + 27728*a - 1255 wrt a.\nAnswer: 2491965998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -161?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -11) + 3 + -8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*9\/(378\/14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buteqbbeeqqbebbebt. What is prob of picking 1 b and 1 t?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1100 + 14022. What are the prime factors of x?\nAnswer: 2, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/95, -0.3, -7, 1\/3, -0.2.\nAnswer: -7, -0.3, -0.2, 2\/95, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*c + 172*c + 3 - 479*c + 147*c.\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 726 and 739.\nAnswer: 536514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1089714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -136107*v**4\/10 + 161707257*v**3\/10 + 73685697*v**2\/5 + 14374334*v\/5 + 803764\/5 = 0.\nAnswer: -2\/3, -26\/213, 1189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13062190 by 1.\nAnswer: 13062190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.9, -1, 8\/13 in increasing order.\nAnswer: -1, 8\/13, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {s: 9, t: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 4*v**2 - 9 - 1 + 0*v**2 - 2*v. Let k be m(-10). Suppose 4*s + 3 - 91 = 0. What is the highest common divisor of s and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 5, a: 5, j: 6}. What is prob of picking 2 a and 1 j?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 425133319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 1. Let y(k) = -1352*k + 1144. Calculate -2288*j(d) - 2*y(d).\nAnswer: 416*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 53808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**6 + k**2 - k + 1. Let l(r) = -8*r**6 - 5*r**4 + 133*r**2 - 4*r + 4. Let i(b) = -l(b) + 4*m(b). What is the third derivative of i(w) wrt w?\nAnswer: 1440*w**3 + 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8728700 to the nearest one hundred thousand.\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f - 82*f + 1 = 0, g + f + 6 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22*555229\nAnswer: 12215038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**2 + 2*l + 2. Let y(z) = 7*z - 28. Determine y(w(b)).\nAnswer: -63*b**2 + 14*b - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 74 = k, 5*k + 5 = -1161*i + 1159*i - 27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7b58 (base 14) to base 5\nAnswer: 1141232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 2, q: 2, u: 6}. What is prob of sequence qu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 583*g + 583*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.13 - 1.87. What is the nearest to -1 in z, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -23. Let j(n) = n**2 + 16*n + 16. Let f be j(-14). Let v = m - f. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 18 + 14 = -2*q, 2*c + q = 54. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*v - 29, 8 = -5*v - 3*h - 2. Let i be v*(32 + 0\/(-3)). Solve -u = -5*b - 6*u - 10, 0 = -4*b + 4*u + i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86781 is divided by 43071.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 504 = -5*h, 0 = -23*l + 28*l - 5*h - 830. Calculate the remainder when l is divided by 35.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186*g - 171 + 94 + 76)*(0*g**3 + 2*g**4 - g**3 + 3*g**3).\nAnswer: 372*g**5 + 370*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22849236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -7 (b) 59896 (c) -0.5 (d) 1\/2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 6) to base 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, w: 2, k: 1, o: 1, j: 1}. What is prob of picking 1 n and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/((-24)\/(-10)))\/(30\/432*6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, s: 5}. Give prob of picking 2 p and 2 s.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4440 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -938, -917, -924, -971, -1070, -1233, -1472, -1799?\nAnswer: -2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533200\/78 + -4 - (-6)\/78 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -182\/58057 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -0.445\nAnswer: 0.04895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/320)\/((-6)\/(-8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76.7 + 78. Let x = 5.3 - c. What is the closest to 2\/15 in x, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*x - 2*t + 3 = -514*x, 5*t = 10*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/55 - 2\/(-11). Let b be j + 1 + (-2 - -5). Suppose -b*n - n + 30 = 0. Solve 0 = -c + 3, q - 5*c = -n - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1283040 by -128304.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*s + 145, -5*h + 78 = s - 95. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + 17 + -22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71027 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 32613 to the nearest 100.\nAnswer: 32600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:05 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342499441 to the nearest integer?\nAnswer: 18507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 8 = -4. Let m = -25 + 30. Solve l - k = -3*k, 2*l + m*k - b = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 812 divide 3502173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120616?\nAnswer: 2, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 347 - 349.6. Let v be 1*-6*10\/10. Let a be (3\/v)\/(4\/6). Sort a, 1\/9, g.\nAnswer: g, a, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/840 and 161\/300?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -89*b**3 - 711*b**2 + 32*b + 342. Give d(-8).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2532 + -0.0122. Round t to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 20 + 2*r + 3 + 3*r - 3 + (2*r - 1 + 1)*(1 - 2 - 1).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10330 (base 4) in base 12?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19982762 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -22. Solve -2*s - s = -n - 9, 0 = b*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 - l - 2. Let v(z) = -36*z**2 - 27*z - 54. Let r(x) = -v(x) + 27*y(x). Let j(n) = -7*n**2. What is j(r(t))?\nAnswer: -14175*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 60. Let m(h) = h - 60. Let f(y) = 2*m(y) + 3*u(y). Let x be f(14). Suppose -x*r + 136 = -88. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157215977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4046 and 29206.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 2 - (63 - (-78)\/13). Sort -4, u, -1, -1\/6 in decreasing order.\nAnswer: -1\/6, -1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 50*d = 0. Does d = -18\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 2*n - 3, 3*x + 19 = -n + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjmjmbwkajwb. What is prob of sequence bka?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-1)\/(-1) + 9\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-64)*2\/7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 2*x + 5. Let a(j) = j**2 + j. Let s(g) = 2*a(g) - z(g). Does 3 divide s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {u: 2, j: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -39231393 and -39231396 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36723 - fc?\nAnswer: -3681f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c**2 + 361 + c + 24*c**2 - c + 8*c**2.\nAnswer: -6*c**2 + 361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*f + 14986 - 6711 - 8275.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7302733*c**3 + c**2 - 901961*c + 6?\nAnswer: 43816398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 11. Let k(i) = 2*i - 6. Let q be k(z). Suppose -4*l = -l - 5*m + 18, -1 = q*l + m. Put 2, l, -4 in increasing order.\nAnswer: -4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-49)\/(-7))\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -c2 (base 16) to base 15\nAnswer: -ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(147)*2*-2*-3)**2 - 5*(((sqrt(147) - -1*sqrt(147)) + -1 + sqrt(147))**2 + -5).\nAnswer: 1050*sqrt(3) + 14598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2310 and 273504.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 11330020203131?\nAnswer: 11330020203132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-24)*(-393)\/15 and -119\/156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + 2. Let b(m) = 2*m**2 - 28*m + 51. Let l be b(12). Give t(l).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -17*x**2 + 746*x - 2249. Give h(3).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -93*j - 11352. What is v(-122)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 14) to base 8\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(18)\/sqrt(6)))\/(-3*sqrt(100)) + -5*(5 + (sqrt(8))**2) + -5*(0 + sqrt(2) + -5)**2.\nAnswer: -200 + 749*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12643 is divided by 301.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 35120.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**4 + o**3*z + 1818782*o**3 - 20361*o**2*z - 41*o wrt o?\nAnswer: 48*o + 6*z + 10912692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 3*q**2 + 3*q. Let k(h) = h**2 + 15*h + 29. Let l be k(-13). Is 2 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -778.721529 rounded to the nearest ten?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 774009607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -3\/8, 3, 7\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (9 + -12 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 3*z**2 + 4*z - 10. Calculate f(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cey when three letters picked without replacement from ceyckyssycc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/484)\/(0 + (-12)\/(-8))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 85*u. Let v be r(1). Let c be (-2)\/5 - v\/(-25). Solve 3*n = 3 + 3, 3*h - c*n = -21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 + 3*g**2 - 3. Let r(i) be the first derivative of -11*i**4\/4 - 8*i**3\/3 + 8*i - 13. Determine 3*r(m) + 8*v(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 3*o**4 + 4*o**4 + 2*o**2 + (-2*o**3 + 4*o - 4*o)*(2*o + 1 - 1) + 6*o**4 + 5*o**4 - 5*o**4.\nAnswer: 6*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 52.9999958. What is a rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.3 - 84. Which is smaller: l or 8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -290155.6 - -290155.64999996. Let y = q + -0.05. Round y to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/35 (b) 0.4 (c) -15\/19 (d) 0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i + 6. Solve 0*q + 4 = -i*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 > -47\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2379900 is divided by 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2 + 48669048*r + 296084529153288 = 0. Calculate r.\nAnswer: -12167262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279842 is divided by 516?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -485*k**3*l**3*x - k**3*l**3 - 51*k**3*l + 2*k*l**3*x wrt x.\nAnswer: -485*k**3*l**3 + 2*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50*q*u**4 + 49*q*u + 567217844*q + 365*u**4 wrt u?\nAnswer: -200*q*u**3 + 49*q + 1460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -3*q**2\/2 + 4*q + 12. Determine t(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 499 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*m - 16 - 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 - 1199 = -d - 2*x, 4*x = 2*d - 1850. List the prime factors of d.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a5 (base 13) to base 14\nAnswer: 25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 + 1)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 4*i - 2*i + 6*i to the form z + w*i and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44\/37 - 411\/370. Find the common denominator of 19\/6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 24*z**3 + 82*z**2 - 84*z.\nAnswer: 2*z*(z - 7)*(z - 3)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 21*g**2 + 841*g + 883. Determine r(-41).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 833?\nAnswer: -2\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1\/8))\/((i\/(i\/i**(1\/7)))\/i))**(-1\/58) assuming i is positive.\nAnswer: i**(-153\/3248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/24 and 131\/396?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/5, -2.5, 2\/7, 2 in ascending order.\nAnswer: -5, -2.5, 2\/7, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 915861 divided by -1.\nAnswer: -915861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/13 (b) -2 (c) -8\/5 (d) 394 (e) -0.2 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 22 + 0 = -3*q, -8 = 2*w - 3*q. Let d be 102\/216 - 2\/8. Let d*j**w - 8\/9*j**3 - 2\/9 + 8\/9*j = 0. What is j?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 733005*l**2 - 1465990*l.\nAnswer: -5*l*(l - 146599)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 14767180*u + 27258700644050.\nAnswer: 2*(u - 3691795)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b3 - -11634?\nAnswer: 11571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -947 - -383. Let x = -307 - z. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004331 rounded to seven decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 7 + 7 + 27*c + 8 + 2.\nAnswer: 3*(c + 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1368567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 113 = l, 13*l = 12*l + 5*p - 107. Let s = l - -130. What is the remainder when 699 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -3.9\nAnswer: -2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxxxmmxdxq. What is prob of picking 1 x and 2 d?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 122813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**4\/24 + l**3\/3 - 2*l**2. What is the remainder when 42 is divided by t(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21187 + 10699 = -770*v - 2140 - 19874 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (16 + -5) - 8 - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 10*h + 10. What is the least common multiple of 10 and v(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**2 + 7*z**2 - z**4 + 2*z**4 + 2 - 2 + (z**3 - z**3 - z**3)*(-5*z + 2*z + z).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 4) in base 3?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 99*z + 17. Let p(n) = -1 + 7 + 5 + 66*n + 5 + 33*n. Let i(t) = 3*p(t) - 2*x(t). Find the first derivative of i(w) wrt w.\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*d - g - 8 = 0, -7 = 3*d + g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -30. Suppose -3*s + s = -m. Suppose -4*n - 4 = v, 2*n + 1 + 1 = s*v. Is -1 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -0. Suppose 5 = -4*q + v, q + 4*v - 5*v = -5. Let m be (-5 + 2)*(q - c). Solve r + 4*a - 8 = 0, m*a = -4*r + 2*a - 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by (-19503)\/(-985)*(4 - -1).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 436165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(605) - 2*sqrt(605)) + 2)**2*-3 - (-3*-1*sqrt(605) - (-2 + sqrt(605)*-1))*5.\nAnswer: -10972 + 572*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:57 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:58 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 25. Let n be 6\/4*4\/2. Solve -5*g - 2*l - n*l = 0, u*g = 4*l - 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -4\/23 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751205.\nAnswer: 5, 7, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert f91 (base 16) to base 3.\nAnswer: 12110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 86445840 divided by 277070\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**7\/1260 + h**4\/6 + 4*h**2. Let n(v) be the second derivative of a(v). Let w(j) = j**2. Calculate w(n(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -2, 4, 57, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 481.9 + -482. Which is the closest to j? (a) 7 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 - (-20 - -5 - -10) - 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2827, 5653, 8479?\n\"Answer: 2826*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.80420743 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-3 - 1 + 0)*(-1 + 0 + 0)*(8 - 8 - b**4).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 116.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 3*r + 22. Let o be d(-4). Solve 0 = 3*l - l - 3*m + 5, -o*l + 4*m - 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16408 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: Solve 346 = -53*g - 555 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 67414920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-420)\/8)\/(-1)*94\/3243*23?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0 - 7*j)*(3*j - 2 - 1 + 6)*(2*j - 4*j + 3*j).\nAnswer: -21*j**3 - 24*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0 - 4. Let h = 1244 + -19901\/16. Is h greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/3 - 8\/24. Let n(y) be the first derivative of -5*y**3\/3 - 9*y**2\/2 - 5*y - 2419. Let s(d) = 11*d**2 + 19*d + 11. Give a*n(b) + 6*s(b).\nAnswer: b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -15. Let t = 12 + v. Let j = -1.3 - t. What is the nearest to -0.1 in -3, -3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 51, 110, 173, 240, 311?\n\"Answer: 2*o**2 + 53*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44\/7 + 46\/7. Let p = 0.59 - 0.29. What is the nearest to t in p, 2, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13321322 + -22231?\nAnswer: 13233031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -210323911 < -210323913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15018249 + 8.51921149. Let z = w - 8.37. Round z to five decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = k + 3*k. Suppose 4*v - 2 = -4*i + k, -5*v + 25 = i. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-6))\/(2 + (-198039)\/99018) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let f be k(4). Suppose 3*r + 7 = f*n - 7, -2*n = 3*r - 16. Let j(p) = 2*p**2 + 4*p - 5*p - r + 2*p. Calculate j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 20 = 4*k. Does 14 divide ((-128)\/6 - 2)*k\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 12) to base 8\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l)**7*(l*l**6\/l)\/l**0*(l**0*l**(-1\/9))**(-2\/9) assuming l is positive.\nAnswer: l**(1622\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -557 - 387?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-5) + (-36)\/(-30))*0. Let r(o) = -o**2 + 5*o - 3. Let k be r(2). Solve j = 5*p - k - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 62. Let c be r(-11). Let a be 44979\/58116 - 3\/c. Are a and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0.9. Is v less than -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 54*g - 604. Let j be l(-38). Solve -6*p + j = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -0.4, -0.21 in descending order.\nAnswer: 4, -0.21, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.43 + -0.93. Let s = -4018 + 4016. What is the closest to 1\/3 in -87\/5, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**4 - a + 9. Let d(c) = c**4 - c - 1. Let r(y) = d(y) - g(y). Differentiate r(o) wrt o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 5*t + t + (1 + 1 - 4)*(-4*t + 5*t - 2*t))*(5*t - 2*t - 2*t) + (-t + 0*t - 2*t)*(-2*t + 3*t + 0*t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.16483ml in litres?\nAnswer: 0.01416483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 3*q - 28, 37*q - 40*q = -5*d - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v - 70. What is o(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f\/(f*(((f*f*f*f**(-4\/7)*f*f)\/f)\/f)\/f))\/f)\/f)**(-1\/23)\/(f**(3\/11)\/f**(-1\/5)) assuming f is positive.\nAnswer: f**(-3251\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and 23243.737 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*y + 583 - 3*y - 583 to d + x*y and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5225 by -475.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 936?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(13\/5)\/((i**(2\/19)*i)\/i*i**24) assuming i is positive.\nAnswer: i**(-1549\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 16. Let h be (-8)\/12*x\/(-2). Find the second derivative of -8*q - q**5 - 2*q**h + 6*q**5 wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(320) + 1)*4)**2 + sqrt(320) - sqrt(320)).\nAnswer: 256*sqrt(5) + 5140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -35, -92636 in descending order.\nAnswer: 7, -35, -92636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -71*h**3 + 46290*h**2 + 1300*h + 2557. Give y(652).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0053 + -0.3377. Let q = r + -0.057. Let z = 0.9 + -1. Which is the nearest to z? (a) q (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3029, 3159, 3289?\nAnswer: 3419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-1\/16)\/v)*v**(-5)\/v)**10 assuming v is positive.\nAnswer: v**(-315\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbqq when four letters picked without replacement from qbqbqqqqqqqqqbq.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1559607, 6238428, 14036465, 24953718, 38990187, 56145872, 76420773?\nAnswer: 99814890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 + (54\/(-63))\/(9\/(-42)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**7\/70 + v**6\/20 + 1957*v**5\/10 + 194*v**2 - 1. Find the third derivative of f(w) wrt w.\nAnswer: -72*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106678*a**3\/3 - 194026*a**2\/3 + 38672*a\/3 + 8 = 0 for a.\nAnswer: -2, -3\/4849, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*r**2 + 73*r**2 - 302*r**2.\nAnswer: -801*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g = 0. Suppose -3*s + 19 = -0*n - 4*n, 5*s - 5 = g. Which is smaller: n or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 2, z: 4, b: 4}. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.58 - -1.98. What is the third smallest value in v, 1, 0.1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/552*-36 + (1 + 0 - 1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from {m: 2, c: 1, b: 1, w: 3, f: 3, r: 7}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 88. Let n be 2\/4*16\/(-2). Do g and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*i + 24. Suppose -4088*g - 29 = -4105*g + 5. Solve 0 = -4*j - i + 5, -g*j = -3*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 2*h + 3. Let a be q(-2). Let n(u) = 3*u**2 - u**2 + a - 5 + 1. Determine n(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 40*x + 766. Let a be v(-19). Solve -15 = -a*k - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2 + (2 - 3 + 3)*(3 - 6 + 1))*(95 + 134 - 123 - 2*d) as m*d + a and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*sqrt(300).\nAnswer: 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -0.1, 90, -2 in increasing order.\nAnswer: -2, -0.1, -0.09, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-180)*(-12)\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-4*q**5 + 2*q**5 - q**5) - 32*q**5 - 123*q**5 + 0*q**5.\nAnswer: -152*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1101000111?\nAnswer: 1101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22126808 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*l - 15 = 10*l, 4*q - 18 = -l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -38*p**6 - 3*p**3 - 23*p**2 - 3. Let r(l) = -75*l**6 - 5*l**3 - 45*l**2 - 5. Let m(h) = -3*r(h) + 5*v(h). Find the third derivative of m(z) wrt z.\nAnswer: 4200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6347422, -0.2, 14 in increasing order.\nAnswer: -6347422, -0.2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 14. Let l = -3 + v. Solve -h + 2 = l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 33956022*w - 96084285838707 = 0. What is w?\nAnswer: -5659337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 346*l**4\/5 + 13834*l**3\/5 + 176912*l**2\/5 + 705536*l\/5 - 12288\/5 = 0.\nAnswer: -16, -8, 3\/173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 15970*i**2\/3 - 31943*i\/3 - 5324.\nAnswer: (i - 15972)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65829563 minus 0.0149615?\nAnswer: 65829562.9850385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 3:22 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 323*a - 243. Give b(-159).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*h*q**3 - 2*h*q + 61*q**3 + 3815*q**2 wrt q.\nAnswer: 570*h + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**3 + 5. Let f(m) be the second derivative of m**5\/4 - 2*m**2 - 19*m. Determine 5*f(n) + 4*q(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -941 + 948 - (-3 + 1 + -17).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3, 39, -0.3, 2\/27, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5 (c) 28913 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -26, -63, -136, -257, -438?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21362*y - 21269*y + 7347 for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6073 is divided by 170?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.5, 4, 3, -2\/11 in decreasing order.\nAnswer: 15.5, 4, 3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/2 + n**3\/6 + 2*n**2 - 3. Let h(c) be the second derivative of f(c). What is the tens digit of h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + 19. Suppose 4*p + a = 2*p. Let n be (-4)\/(-10)*50\/p. Sort n, -5, -4\/3 in increasing order.\nAnswer: -5, -4\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -694, 2, -33, 5 in decreasing order.\nAnswer: 5, 2, -2, -33, -694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*h**4 + 2435*h**3 + 24917 wrt h?\nAnswer: -20*h**3 + 7305*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -1889. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7246000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2272 (c) -1 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/413957 and 9\/4019.\nAnswer: 413957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 23. Give a(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + m)*(-2 + 3 + 0) - 7*m - m + 6*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-3\/4)*u))*u**6)\/(u**(-2\/5))**(4\/7))**(1\/30) assuming u is positive.\nAnswer: u**(907\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(7)*1.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -993 - -1694. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.15 + 3.65. Sort 3, -3\/10, i, -3 in decreasing order.\nAnswer: 3, i, -3\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 12) to base 15\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*n = 0, 57*r = 54*r - 5*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3 (base 12) to base 13.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 713 divide 336670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2\/2 - 6. Let a(l) = 75*l + 156. Let v(x) = -4*x - 8. Let o(i) = -2*a(i) - 39*v(i). Determine p(o(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-15)\/(-27)*3. Is v >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 87*s**3 - s**2 + s - 1. Let p be l(1). Suppose -p - 162 = -4*k. Let y = k - 36. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -26266?\nAnswer: -26266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t - 10. What is c(-19)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 - 172*p\/3 + 1190.\nAnswer: 2*(p - 51)*(p - 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -673 + 203*c + 700 - 19*c + 138*c + 71*c.\nAnswer: 393*c + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m. Let a(k) = -28865*k. Determine w(a(p)).\nAnswer: 57730*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*p + 718 = 0, n + 3*n - 572 = 4*p. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*t - 828*t - 3*t**3 - 2*t**3 + 407*t - t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (7 - 19)) + -57 + 16.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 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: What is (-38 - 24) + 36 - -31?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2*j)\/j**(-1\/6))\/(j**(-1\/2)\/j*((j*j**(-6\/5))\/j)\/j))\/((j**(1\/3)\/j)**11)**(5\/14) assuming j is positive.\nAnswer: j**(332\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(4\/3 + 0). Let n = g + 8. Suppose -2*m + 3*z - 4 = n, -5 = 4*m + m - 5*z. Which is greater: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 81 = -108. Let g be 4\/(-14) - 360\/b. Let d(p) be the first derivative of p**2\/2 + 5*p + 2. Determine d(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -194 - -195. What is the highest common divisor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025296 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -0.406115?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4791.7 + -4792. Which is the closest to -3? (a) l (b) 1 (c) 4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.17, -4\/9, 23394?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 - 158\/(-14). Let v = -31 - -32. Calculate the highest common factor of v and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (420\/150)\/((-6)\/30)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0 - (-4 + 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - 4*(-385)\/(-28). Let a be (15\/c)\/(3\/6). Let o = 0.04 + 1.46. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -3180.\nAnswer: -3178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from nsojgvn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*c - 31459 = -12*c - 7633 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033 - -2?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/24478896 and -25\/16?\nAnswer: 24478896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -95?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 103?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 3 - 8*j**2 + 3 - 3 - 7*j + 4. Let a be q(-7). Solve -v - a = 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(2\/5)\/n))**(8\/7)\/(n**7*n*((n*n**0*n)\/n)\/n))\/((n\/n**(-1\/4))\/(n*n\/(n**(-4)\/n*n)*n))**(-2\/21) assuming n is positive.\nAnswer: n**(-1411\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, 1074?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178 - -202. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 24625.\nAnswer: -5, 4, 24625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114686 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10114.677 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9988 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 2*y - 1. Let f be s(-4). Let b be 14\/6 + 3\/f. Suppose 0 = -b*i - i + 6. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5681755 and -0.069.\nAnswer: 392041.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 149598*m**2 - 51727968*m + 4456237920.\nAnswer: 3*(m - 172)**2*(m + 50210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -872*v + 870*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 0*m - 16. Let u be (216\/(-93))\/(21\/(-2)). Let k = -2\/31 - u. What is the second biggest value in -3, m, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*a - 26, -4*k + 2*a = a - 34. Let r(t) = 3*t**3 - 3*t**2 + 3*t - 6. Calculate the least common multiple of k and r(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-123 - (-2 + -100)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4762*z**3 - z**4 + 2377*z**3 - 1 + 18*z**2 + 2376*z**3 + 2*z to s*z + x*z**3 + m + a*z**2 + l*z**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22082 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let m be ((-3)\/(-4) - 1)*-4. Let n be m\/3 - 220\/(-15). Solve 3*p + n - 3 = r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 = -11. Let s be (-3)\/2*l\/6. Let w(h) = h + 1. Let g be w(s). Calculate the greatest common factor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*t + 2*o + 175, 0 = -4*t - 4*o + 164. Let b(q) = 2*q**2 - 3*q - 3. Let d be b(3). Suppose 4*f - d*f = -t. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/10)*h*h**(-14))\/(h\/(h\/(h*h**20)))**(11\/8))**(-2\/83) assuming h is positive.\nAnswer: h**(1663\/1660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*d - 191*d - 7540 = -187*d for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1646 divided by 2\nAnswer: -823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 8 = -10*t. Let -8*o**4 - 10*o**3 - 12*o**2 - 2*o**3 - 2*o - 2*o**5 + 0*o**5 + t*o**2 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5071664, 10143324, 15214984, 20286644, 25358304, 30429964?\nAnswer: 35501624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 17, 18, 37, 80?\n\"Answer: s**3 - 18*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*f**5 + 109*f**4 - f**2 - f + 5464?\nAnswer: 3660*f**2 + 2616*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 12. Let p(o) = -4*o - 13. Calculate -6*m(x) + 5*p(x).\nAnswer: -2*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*k, z + 4*z - 30 = 5*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2. Let k(i) = 1511*i - 1499. What is k(y(v))?\nAnswer: 3022*v**2 - 1499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 - m**3 + m**3 - m + m + 2*m**4 + 0*m**4 - 2*m**4 + 0*m**4 + (6 - 2 - 5)*(0*m**4 + 3*m**4 - 4*m**4) + m**3 - m**3 - 3*m**4 - m + m**4 + m.\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t + 0 + 0*t**4 + 1\/3*t**5 + 37*t**2 + 0*t**3 + 1\/15*t**6. Find the third derivative of h(u) wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 - 3*i**2 + i**2 + (-3 - 2*i**2 + 3)*(-4 - 1 + 3) + (-5 + 3 + 0)*(i**2 + 3 - 3) - 10*i**2 - 2 + 2 in the form m*i**2 + c + d*i and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (184\/3)\/((-28)\/(-126)). Let g be x\/88 + 2\/(-22). Let r(s) = -2*s**3 - 3*s**2. Let o(b) = -3*b**3 - 4*b**2 - b - 1. What is g*o(c) - 4*r(c)?\nAnswer: -c**3 - 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-5)\/(-10)*8. Solve -2*g - 4*u - c = -7, 3*u - 3 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.753+-3\nAnswer: 20.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Solve -r*y + 16 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 1 - 3*o**2 - 4 + 5*o**2. Give c(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcnvvcvncc. Give prob of sequence vnnv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v - v)*(-7110 - 5*v**2 + 7110 + 30*v).\nAnswer: 10*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -90 in ascending order.\nAnswer: -90, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -6 + 2)*6. Let x be -1 - 0 - 0 - 20. Let i = z - x. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -304, 765, 3706, 9455, 18948, 33121, 52910, 79251?\n\"Answer: 156*m**3 - 23*m - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 18 = -0*o. Let b(i) = 5 - o - 35*i + 6 - 4. Let p be b(-1). What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2117 and -10.\nAnswer: 2117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 211312574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.334 - -0.477. Round x to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + r - 2)*(0 - 4 + 2) - 3 + 3 - r + r - 2*r - r + 2*r - 2*r - 2*r)*(4 - 6 - 1).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13982 or 13983?\nAnswer: 13982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39074022 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -713 - -718. Solve f*p - 627 = -642 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192903499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -8?\nAnswer: 29\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c - 2. Let s(q) = 4*q + 2. Determine 5*p(g) + 4*s(g).\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*(-5)\/35?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*l - 36, -4*l + 33 = -0*l + a. Suppose -c = d - 537, -3*c = 2*d - l*d + 2693. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 4549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/24 - 11*i**5\/6 + 235*i**4\/24 - 20*i**3 + 586*i**2. Find o, given that k(o) = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2795 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.045716 and 0.3857.\nAnswer: 0.0176326612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 8:35 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1570633.5 != -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*q + 20*q - 3. Suppose 0 = m + 4*m. Suppose 4*r - 4*y + 36 = 0, 3*y - 13 = r - m*y. Sort 5, r, q in decreasing order.\nAnswer: 5, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*u**3 + 17*u**2 + 31*u**2 + 8*u**4 + 5457*u - 5493*u.\nAnswer: 4*u*(u + 3)**2*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 56*y - 55*y - 20, -4*n - 2*y - 26 = 0. Which is bigger: 153 or n?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.1341031 to three decimal places.\nAnswer: 64.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 - (5 + -7)) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + 38*j + 56. Let h be o(-2). Solve 0 = 3*n + 4*s, h = -49*n + 53*n - s + 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -514300.1871.\nAnswer: 514300.4871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Suppose 0 = 9*s - 6*s + 189. Let r be 8\/(-28) + 3\/s. Is b < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256039 divided by -530?\nAnswer: -256039\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -27*i - 24. What is the hundreds digit of u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134778, -2, 2 in decreasing order.\nAnswer: 134778, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*c = -14, -4*t - c = -0*t + 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 22 = -10. Which is smaller: c or 16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-411680)\/3320*(-3)\/(-12)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 383 - 303. Put y, -1, 5 in ascending order.\nAnswer: -1, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 3) + -11 - -18. Let k be (s\/(-15))\/(114\/(-380)). Factor -2\/15*a**k + 2\/5 - 4\/15*a.\nAnswer: -2*(a - 1)*(a + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 204.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14303570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**4\/5 - 2756*g**3\/5 - 67852*g**2\/5 - 424444*g\/5 - 359352\/5 = 0.\nAnswer: -14, -9, -1, 713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uueuuuueuuuueuuuuu. Give prob of sequence eee.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13236, 14868, 16500?\nAnswer: 18132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 42. Let r be o(-21). Suppose 12*y - 15*y + 15 = r. Solve -y*g + 5 = -q + 1, 0 = -5*g + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 4*q - q)*(-q**3 + 5*q**3 - 2*q**3) + 0*q**4 - 2*q**4 + 0*q**4 - 2*q**4 + q**4 + 3*q**4.\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.19666 + 1290707\nAnswer: 1290707.19666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478347293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122 + 137 - 237)*(4 + 4 + 26)*((0*r + 0*r + 2*r)*(-6 + 1 + 4) + 0*r - 2*r + 3*r) to the form u + z*r and give z.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 12*z + 2*n + 2 = 0, 3*z = -4*n - 6. Let s = 257\/1586 + -1\/122. Which is the second biggest value? (a) s (b) 4 (c) z (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - n = 2, -18*n = -23*n - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 12*v - 124*v**2 + 15*v.\nAnswer: -124*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2316\/1155 - (-7)\/((-63)\/18). Which is the closest to 1? (a) 1 (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40582 and 124898?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3464*d**4 - 2*d**2*i - 3703*i with respect to d.\nAnswer: 13856*d**3 - 4*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-520)\/975*80\/6.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -10161?\nAnswer: 10156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76554251, 76554245, 76554239, 76554233?\nAnswer: 76554227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 14 - 13 - 10*l**2 + 10*l - 5. Let a be s(9). Suppose 159 = -2*r + a*r. Calculate the remainder when r is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-24)*(10\/15)\/((-3)\/54)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*x + 17, 3*x - 5 + 4 = h. Let u(n) = -2*n**2 - 8*n + 10. Give u(h).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. What are the prime factors of (-1 + m)*12\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7*r = -76, m + 126*r - 26 = 124*r. Determine w, given that 285\/4*w**m - 1 + 26*w = 0.\nAnswer: -2\/5, 2\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -13*i**3 - i. Let z be n(-1). Let c(r) = -5*r**3 - 2*r**2 + 2*r. Let a be c(-2). Calculate the greatest common divisor of z and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((380\/(-12))\/(35*18\/(-252)))\/2.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, 0.5, -0.02 in increasing order.\nAnswer: -0.5, -0.02, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -324\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -4 + 6 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -183*y - 104678. Give b(-572).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -2*q**6\/15 - 2*q**4\/3 + 5*q. Find the third derivative of t(w) wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14)\/a**(1\/2))**39*(a**6*a**(-1))\/(a**(-1\/5))**28 assuming a is positive.\nAnswer: a**(-5549\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.52341t in grams?\nAnswer: 20523410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2. Let q be 0\/(-227)*(0 - 1). Let f(m) be the third derivative of 0*m + 1\/8*m**4 + q*m**3 + 22*m**2 + 0. Give t(f(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2534243 + -119?\nAnswer: 2534124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4617 or -3272?\nAnswer: -4617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i*i*i*i*i**(-4)*i*i*i)\/(i**2\/(((i*i**2*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**4\/24 - 7*b**3\/6 - 2*b**2. What is the derivative of f(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 8*q**2 + 16*q - 31. What is j(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*f + 24 - 24)*(3 + 1 - 2) to n*f + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*4\/3 - 1. Suppose 10 = t*l - 5. Solve w = -l*d + 15, -2 = 4*d - 3*w - 33 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 4*a**3 - 2*a**5 + (-2*a + 0 + 0)*(a**3 - a**3 + 2*a**4) + 4*a**4 - 4*a**4 - a**5 + a - a**5 - a + 2*a**5 - 5*a**5 - 2*a**5.\nAnswer: -13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2. Let h = -23 + 25. Let j(k) be the third derivative of 0*k**3 - 2*k**h + 0 + 0*k + 1\/8*k**4. Calculate j(b(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/21)*x**1\/x)**(-2\/9) assuming x is positive.\nAnswer: x**(-4\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 1}. Give prob of picking 1 f and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388\/(-4365)*-4*(-72)\/(-32).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 + -2)\/1 + -3. Let z = -34.6 - -32.6. What is the second smallest value in 2\/5, y, z, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793198 is divided by 793062.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 12 + 48 - 72.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**3 - 2*d**2 - 2*d + 4. Let z be p(3). Let u = z - 1766\/9. Is 0 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200466, 200470, 200474, 200478?\nAnswer: 200482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 1 + sqrt(252) + 4)**2 - sqrt(252).\nAnswer: 114*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmn. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)*(v\/v**(3\/5))\/v*v**(-1\/2)\/(v*v\/(v\/(v**(1\/8)*v))) assuming v is positive.\nAnswer: v**(-169\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 12. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260 + 5537. List the prime factors of c.\nAnswer: 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -2, -20, -4, 83, -3 in decreasing order.\nAnswer: 83, 0, -1, -2, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 - -109.4. Sort o, -0.3, -2\/21, -6 in decreasing order.\nAnswer: o, -2\/21, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66066 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54931581 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -10, 5, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 + 1. Let s be d(-1). Suppose 15 = s*m - o - 54, 5*m = 5*o + 90. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwtuwuwqstqtt. Give prob of picking 1 w and 1 q.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17887 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -52 - (6 + -6 - (0 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*h = 75, 0 = -4*y + h + 46 + 17. Let b = y + -15. Let n be b\/(-3) - 0 - -2. Solve 2 = n*o - o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6.22, -5 in descending order.\nAnswer: 6.22, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4643 is divided by 746?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 + 0*n**3 + 0*n**2 + 1\/6*n**4 - 102*n. Let a(p) = 19*p**2 + p. Determine a(s(w)).\nAnswer: 76*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 548?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1281 (base 12) to base 10.\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.608 and -2190400?\nAnswer: 2190396.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 3:11 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 815847 at least 815844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*o + 46, 9*y = -2*o + 7*y + 4. Let k(q) = 15*q + 13. Let x(h) = -7*h - 6. Determine o*k(u) + 13*x(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Suppose -y + 8 = 2. Suppose p - y = -1. Solve -k*r - 3*z = -p, 0*r - 3*r - 2*z = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/95)\/(10\/(-20)) and 93\/152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, 0.2, -25, 4, -4, -0.4, 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.1 in -4, -0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*j = 5, -5 = j - 2*j. Let r be (102\/(-935))\/(1\/(-5)). Do n and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 99247.\nAnswer: 3\/99247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from qzkkzizkzkzqkzkkq.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -35. Suppose -2*c = -h + 77, 6*c - 7*c - 3*h - 35 = 0. Is c smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*v + 9*v**4 - 14*v**4 - 32*v + 38 - 41 in the form o*v + w*v**4 + z*v**3 + d + m*v**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3896 divided by 4\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-21) + 456\/(-42). Let s be 2\/u + 2\/11. Let v be (2 + s)\/(4\/(-3000000)). What is v rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 1. Let s be p(-3). Let g(c) = 11*c - c - 11 - 8*c - 3*c + 0*c. Calculate g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*t - 7, -b = -4*t + 17. Let s = -34382 + 34382.05. What is the third biggest value in 0.5, -0.3, s, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)\/p**(2\/9))\/(((p**(1\/2)\/p*p)\/p*p)\/p**(-4)))**40 assuming p is positive.\nAnswer: p**(-3500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:38 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 65\/45) + 1\/9. Which is the nearest to -0.09? (a) -4 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 21*w = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374544 is divided by 130.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l - 5. Let i be x(4). Which is greater: 18 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 22 = -i - i, -3*a + 9 = -i. Let h be 0 + (-3 + 4)*-1. Let c be -2*(-6)\/4*h. Sort a, c, -1.\nAnswer: c, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -181219*j**2. Let g(v) = 3*v**2. Determine f(g(h)).\nAnswer: -1630971*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/65 in -10, 4, 49.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41520 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -110*y**4 + 1586*y**3 - 5248*y**2 + 3640*y + 2400 = 0.\nAnswer: -2\/5, 20\/11, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - 41*b**2 + 23*b**2 + 22*b**2 + (-3*b**3 + 3*b**3 + b**4)*(-5*b + 3*b + 0*b).\nAnswer: -b**5 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 19*h**2 - 142*h + 203. Give z(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 2. Let i = -14 + f. Which is the smallest value? (a) -3 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -8 + 15 + -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 3*q - 75 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 7. Let r be (3\/(-1))\/(6\/(-8)). Let b be d(r). Suppose 30 = 5*k - 4*l, -4*l + 10 = -5*k + 4*k. Solve b*j - j = -k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 16*i**2 - 44*i + 9. Give y(13).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113301233333130 + -3?\nAnswer: 113301233333121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04453 - -1.04453. What is the closest to -2 in c, 9, 12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 457 (base 10) to base 11\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/14439 and 149\/6?\nAnswer: 28878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d. Let z be d + -4 + 40\/4. Suppose 2*v = -z*v - 16. Put v, -4, 2\/7 in decreasing order.\nAnswer: 2\/7, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -321 - -325. Let y = 0 + 0. Sort -5, w, y in decreasing order.\nAnswer: w, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 58 = 2*q + 5*l, 25 = -5*l. Let x(v) = -26*v + 2. Calculate the smallest common multiple of x(-3) and (-11)\/q + (-116)\/(-6) + -1.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.8 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 7 - 128*k + 3 + 1 - 7 to g + j*k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, e: 5}. What is prob of picking 1 i and 3 e?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 11*b**3 + 338 - 168 - 172.\nAnswer: 11*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a + 99. Determine s(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6738, -6426, -5886, -5100, -4050, -2718, -1086, 864?\n\"Answer: 3*j**3 + 96*j**2 + 3*j - 6840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*j = 6*q + 13, -2*q - j + 2 = 0. Suppose -4*t + 2*y = -2*y + 8, 4 = -5*t + 3*y. Let b = q + t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*k = -529*k - 40. Find the common denominator of ((-1)\/k)\/(-1 + 3490\/3640) and 52\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dd5d6 (base 15) to base 12.\nAnswer: 29b026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 82416640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33391, -33396, -33403, -33412, -33423, -33436?\nAnswer: -33451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 + 125*g - 15. Let k be f(-13). Which is the nearest to 2\/5? (a) -2 (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75*(63\/7 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-266)\/(-6) - (-2 - 30\/(-9)). Calculate the greatest common factor of 301 and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (6*-5*sqrt(468) + sqrt(468)) - (sqrt(468) - (-2 + sqrt(468) + 1)))**2.\nAnswer: -360*sqrt(13) + 421201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = 2*q. Suppose w = q*b - 221, -3*w = b - 3 - 36. What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 30 = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.159986 and -0.5.\nAnswer: 9.079993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 167, 62, -85, -274, -505, -778?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*m - 2*w + 5*w, -3*m - 3*w = -51. Suppose -4*k + m = k. Suppose k*p - 3*n - 144 = 0, 4*p + 0*n - 136 = n. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 4.5. Let r be (2\/14)\/(1*7\/(-21)). Sort -2\/5, c, r in descending order.\nAnswer: c, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -31. Let r(a) = -a**2 - a + 8. What is the least common multiple of o and r(0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -99437526576 from 0.\nAnswer: 99437526576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/4 + 3\/12. Let i be ((-2)\/4)\/(-4*1\/2000). Let d = 260 - i. Solve -3*f = 2*a + j, 2*f - 2*a + a = -d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (-78 - (19 + -40)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68320 is divided by 705.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*d = -27, 4*r - 5*d + 16 = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 9 = -21*i. Suppose -4*n + 2*b + i*b + 301 = 0, 3*n + 4*b = 187. Calculate the greatest common factor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Suppose i - o*i + 11 = b, 5*i = -3*b + 30. Let c = -0.14 + 0.04. What is the second smallest value in 5, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)*w*w\/(w**(-1\/6)\/w)*((w*w*w**(-1))\/w*w)**(3\/19) assuming w is positive.\nAnswer: w**(455\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*u - 7*u - 34816. Let d = u - 595. Sort d, -2, 1 in decreasing order.\nAnswer: 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {y: 3, j: 1, z: 2, f: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*m + 24227 = -565*m + 2630 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(1*sqrt(81)))**2 + 2*(sqrt(11) + (sqrt(11) - -1*sqrt(11))*-5).\nAnswer: -18*sqrt(11) + 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (1 - (7 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1736 take away 267?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171214241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -197 or -55619\/281?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 911, 906, 889, 854, 795?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449, 912, 1363, 1796, 2205, 2584?\nAnswer: 2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216052276.\nAnswer: 2, 11, 446389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = l - 2*h, 4 = -h + 1. Is l\/(-2)*4\/(-8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 355*b - 13906. What is k(38)?\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -31*y - 356. Let g = -863 + 851. Calculate the lowest common multiple of 80 and c(g).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*l + 8730 = -60*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -17. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 - 19*s = 0. What is s?\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(2\/13)\/y)\/((y*(y\/(y*y**(-1)))\/y)\/y*y))\/(((y\/y**(1\/4))\/y)\/y*(y**(-2\/23)*y)\/y))**50)**(-1) assuming y is positive.\nAnswer: y**(15225\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:41 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:12 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157.07*521.\nAnswer: 81833.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 153 = -5*i, -3*i - 5*t = -7*i + 129. Suppose -2048 = -19*a + 251. What is the remainder when a is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 901, 1486, 2059, 2614, 3145, 3646, 4111, 4534?\n\"Answer: -a**3 + 592*a + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/1716*-26)\/(4\/96*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10662 - -15728. List the prime factors of j.\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -111985.\nAnswer: -111985, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148065?\nAnswer: 3, 5, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116465*x - 116466*x - 1 + 1.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 2 (c) 1.9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(19) + -1)*-3.\nAnswer: 3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 3*l - 5. Let d be v(5). What is the third biggest value in -4\/9, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414852, 829688, 1244526, 1659366, 2074208, 2489052?\nAnswer: 2903898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19247 + -19245. Sort 213, -2, y in ascending order.\nAnswer: -2, y, 213","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 + 4*a - 1. Let w(q) = -3*q**3 - 5*q + 1. Give 5*k(n) + 4*w(n).\nAnswer: 8*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 868, 863, 858, 853, 848?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m**3\/8 - 165*m**2\/8 + 39*m\/2 = 0.\nAnswer: 0, 1, 52\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 24*k**4 + k**3 - 6*k + k**2 + 1 + 22*k**4 to the form p*k + q + d*k**4 + h*k**3 + m*k**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c = -4*f + 212, 3*f + c = 148. What is the smallest common multiple of f and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114871 divided by 357?\nAnswer: -114871\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*h**3 - 25*h**4 + 24*h**4 - 49*h**3 - 6 to y*h**3 + b*h + f*h**4 + a + d*h**2 and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -0.16?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - ((sqrt(77) + 5*sqrt(77) - sqrt(77))*-1 + sqrt(77)))\/(sqrt(567)*6).\nAnswer: 5*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1 - -3 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 - 2*z**3 + z**3 + (3*z - 2*z - 2*z)*(-4*z**2 + 5*z**2 + 3*z**2) - 2*z**2 + 2*z**2 + 10*z**2 - z**3.\nAnswer: -6*z**3 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(104) - ((2*sqrt(104)*3 - sqrt(104)) + sqrt(104)))\/((sqrt(352)\/sqrt(99))\/((sqrt(40) - (sqrt(40) - sqrt(120)\/sqrt(3)))\/sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57503018?\nAnswer: 2, 67, 429127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267790*n**3 + 70*n - 70*n.\nAnswer: -267790*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**4 - 3 - 4*y**4 + 623*y**2 + 7 - 625*y**2 + 42*y**3 + 2*y in the form n*y**2 + l*y**3 + h*y**4 + m*y + x and give l.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5556*v**3 - 7*v**2 - 8*v + 79. Let h(g) = 27780*g**3 - 36*g**2 - 44*g + 391. Let y(n) = -2*h(n) + 11*s(n). Find the third derivative of y(k) wrt k.\nAnswer: 33336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300041 + -243440?\nAnswer: -1044031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 648 = -f, 5*g + f + 4 = 3232. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 14*b - 51*b - 51*b - 39*b to i + r*b and give r.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:56 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*l - 15, -8 + 4 = -t - 2*l. Suppose 3*j = 2*j + t. What is the smallest common multiple of j and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34340140 (base 5) in base 11?\nAnswer: 1a1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2089014997 greater than -2089014997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(101*d + 116*d + 71*d).\nAnswer: 864*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803*(-4 - -3)*1*-13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -336, -433, -794, -1557, -2860?\n\"Answer: -23*d**3 + 6*d**2 + 46*d - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1635 and 0.6.\nAnswer: -1634.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 151, 124, 95, 64?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7974 - -9384. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59709 divided by 183.\nAnswer: -19903\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 5 (c) 36\/23 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1199 - 1203. What is the nearest to -0.11 in 0.4, n, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g**2 - 114*g**2 + 35*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 18*r**2 + 3*r - 1. Let q(d) = d**3 + 17*d**2 + 4*d - 1. Let z(v) = 4*q(v) - 3*w(v). Is z(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24794902?\nAnswer: 2, 11, 761, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -9. Let t = 43 - 9.7. Let l = -28.3 + t. What is the nearest to -0.2 in k, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811715 is divided by 216.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5229931 minus 359?\nAnswer: -5230290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 62151 + 62022 + a - 124173.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/25? (a) -3\/34 (b) 2\/7 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2 - 6*z + 5. Calculate m(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 15727 and 15726 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:27 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 75006747 divided by 1?\nAnswer: 75006747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 3, 2, 34, -27, 4 in descending order.\nAnswer: 56, 34, 4, 3, 2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 608764*t**2 + 27085779 wrt t?\nAnswer: 1217528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = -5*z, -36*z + 37*z = -4*f - 4. Calculate the least common multiple of z and 1561.\nAnswer: 6244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/12)\/((-35)\/(-410)))\/(18\/378).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -70. Let 216 + 22*o**y - 108*o - 46*o**2 + 6*o**3 - 4*o**4 + 10*o**2 = 0. What is o?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -0.76. Let r = -0.46 - p. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1)*(8\/2 - -210). What is the third derivative of -u**2 - y*u + 134*u - u**2 + 0*u**2 + 96*u**3 + 0*u**2 wrt u?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -766*x**2 - 12*x + 103. Let s(d) = -3*d. What is c(s(m))?\nAnswer: -6894*m**2 + 36*m + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 2*b + 5. Let d(t) = t**2 - t + 2. Let g(i) = 9*d(i) - 4*l(i). Let z be g(-4). Suppose 498 - z = 4*h. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 184317\/4 + -46330. Let x = 253 + j. Find the common denominator of 93\/22 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -1.132\nAnswer: -0.02264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37c - 2?\nAnswer: 37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208*m**4 + 3*m**3 - m**2 - 21182*m wrt m.\nAnswer: -2496*m**2 + 18*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/24)\/((-20)\/(-8)). Let b(d) be the second derivative of 0 - r*d**3 - 2*d**2 - 6*d. What is the first derivative of b(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 - 11144?\nAnswer: -11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 1051 - 713 = 0. Suppose 2*a - 38 = -3*i - 7, a - 2*i = 12. What is the highest common divisor of a and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3 - 0. Let x = o - -10. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8)\/((-246)\/328)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 + 72*w**2 - 43*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqgg when four letters picked without replacement from qqegeeeqqg?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101*w**4 - 87*w**4 + 34*w**4 + 8*w**2 + 3*w**4 - 8*w**2 + (2*w - 2 + 2)*(1 - 1 + 2*w**3).\nAnswer: -147*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9784063 milliseconds to microseconds.\nAnswer: 978.4063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w - 5*w - 2*w)*(0*w + w**3 + 0*w) - 11*w**4 + 3*w**4 - 3*w**4 + (-w + w + 2*w**3)*(3*w + 3*w - 5*w).\nAnswer: -26*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 6 + 86*o - o**2 + 4 - 87*o to v*o**3 + j*o**2 + w*o + p and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 149112857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213*g*m + 10*g - 12*m + 150 wrt g.\nAnswer: 213*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4845, 3\/8, -3\/8, 10, 2\/5 in descending order.\nAnswer: 4845, 10, 1, 2\/5, 3\/8, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3485\/(-11) + (-22)\/121. Is k less than -321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*(-54)\/(-144)*(-638)\/396.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, y: 1, n: 1}. What is prob of sequence yd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/sqrt(20))\/(-4*(sqrt(9) + (sqrt(36) - sqrt(9)))))**2.\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54 - -417302?\nAnswer: 417356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -35. Let k be 0 - x - (6 + -8). What is the units digit of (-210)\/k*48\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 4. Let n(x) = 5 + o*x - 5 - 6*x. Let u(v) = 6*v - 5. Let s(b) = 9*b - 8. Let w(r) = 5*s(r) - 8*u(r). Calculate w(n(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 - 6504*t**2\/7 + 11553024*t - 18802327040.\nAnswer: -2*(t - 2744)**2*(t + 8740)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 1. Let a be c(-1). Suppose -a*d - d + 39 = 0. Suppose -29 = -4*b - d. Solve 2*y - 18 = -2*z, -b*z = 2*y - 9 - 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 6. Let q(b) = b - 5. Calculate 4*m(j) - 6*q(j).\nAnswer: -2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -1. Let w(n) = 25*n - 19. Let d be w(-4). Let p be (-6)\/(210\/d) - (-3)\/(-1). Which is the second smallest value? (a) p (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 11. Let a be z(-4). Let d be 25\/(-35) - (-26)\/7. Solve d*q - n = a, 0*n - n = -2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30536\/56 + (-2)\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 761 by -6.\nAnswer: -761\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxoxxxxxx. What is prob of picking 2 x and 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 1643669 in descending order.\nAnswer: 1643669, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -43*s**5\/20 + s**4\/12 - s**3\/6 - 36*s. What is the units digit of u(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49607.\nAnswer: 113, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354579?\nAnswer: 3, 181, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -113131?\nAnswer: -113122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 0*(-2)\/4. Suppose -t*i + 63 = -2*i. Calculate the remainder when i is divided by (-18)\/(-45) + (-106)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/5 + 8334*n**2\/5 + 35743155*n + 112919422000 = 0 for n.\nAnswer: -5425, 19184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3146 - -3158. Solve a*f = f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2273 + -2258. Let r = 43 + -63. Let s = w + r. Which is the third smallest value? (a) s (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/18)\/((-35)\/315). Calculate the highest common divisor of m and 1368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-189)\/(-5) + ((-1855)\/53 - (-166)\/5).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6067, 12156, 18223, 24256, 30243?\nAnswer: 36172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 14*f - 36 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3211919, -6423784, -9635649?\nAnswer: -12847514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -1.1. Let u = -611561\/14609 - -10\/2087. Let d = -42 - u. Put v, 2\/13, d in descending order.\nAnswer: v, 2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -167 - (-1 - (-5 + -3)). Let r = k - -187. What is the remainder when 54 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 2100.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-684)\/16 + -5). Let b = k + -3447\/9550. Find the common denominator of -8\/45 and b.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 3*p**2 + 5*p - 5. Let w be d(4). Let q = -2.31 - -5.31. Which is the closest to w? (a) 5 (b) -3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*r - 159, 4*m + 3*r - 183 = 180. What is the least common multiple of 15 and m?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 - (-6 - 2). What is the greatest common factor of 88 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -95, -149, -203, -257, -311?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - p**2 + p. Let t(h) = 8*h**3 + h + 5. Determine -t(d) + 3*w(d).\nAnswer: -2*d**3 - 3*d**2 + 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -52, -97, -182, -319, -520?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/27, 28, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 577917*n.\nAnswer: -577917*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/9 + -5\/36. Let p = -7.12 - -0.12. Let u = -6.6 - p. Which is the nearest to -1\/2? (a) -5 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -26)*8\/(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-294)*(-25)\/40.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7373.2 rounded to the nearest ten?\nAnswer: -7370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kookkooookoookkokkk. What is prob of sequence kok?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 40 = -3*p + 56, -2*p = 2*d - 24 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -4, 2, -2338, 1 in descending order.\nAnswer: 19, 2, 1, -4, -2338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/20 + y**4\/4 + 2*y**3\/3 - y**2 - 4*y. Is w(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264 + -275.36. Let u = 11 + z. Let m = u + -7.84. Round m to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*w + 9, 5*p = -4*w + 32333. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j + 41. Let v be l(11). Suppose -3*p + 13*p - v = 0. Calculate the greatest common divisor of p and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/39*-1)\/((-880)\/60)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by (6\/4)\/(69\/1288)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -321 - -320. Let n = 0.03 + -2.03. Which is the second biggest value? (a) x (b) n (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 5*m - 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -5. What are the prime factors of (-6)\/15 + (-194)\/j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 645995702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 156, 384, 612, 840?\n\"Answer: 228*b - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63.151 + -0.151. Let v = -62.53 + m. Round v to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24 - (-1 + -1))\/(-2). Suppose 4*r = -3*k + 195, -2*k + 2*r + 145 = 29. Let l = k - a. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e2 - 20c?\nAnswer: -3ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 0*y**3 + 2*y**3 + 1 + 0*y**3 as z*y + o*y**2 + g + f*y**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/(-100))\/(45\/(-60)). Which is the third smallest value? (a) -5 (b) o (c) -0.125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 2. Let u be s(-5). Suppose -v + u - 1 = 0. Solve -v*w = 4 - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 2*m + 6. Determine d(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 - e?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19745, 19870, 19995, 20120, 20245, 20370?\n\"Answer: 125*d + 19620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004277542 to five decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 6*i + g - 36, 0 = -5*g + 5. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 412745 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1473950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2119, -4223, -6327?\nAnswer: -8431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**4\/12 - 1781*w**3\/6 - 2330*w**2. Let p(d) = 2*d**2. What is m(p(t))?\nAnswer: -4*t**2 - 1781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 168, 718, 1644, 2952, 4648, 6738?\n\"Answer: g**3 + 182*g**2 - 3*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 20 - 6)*(4*c**4 + 0*c**4 - 3*c**4) - 2*c**4 - 7 + 7 to j*c**2 + l*c + u*c**4 + p + y*c**3 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h + 6 = -52*h - 5*l, -18 = 2*h - 5*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*b + 254*b - 84032. What is the lowest common multiple of b and 1111?\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = s + 4*d, -4*s + 82*d - 78*d = -20. What is the closest to s in 8, 1\/5, 0.05?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11945.\nAnswer: 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 12 = 2*n. Let m(p) = p**2 - 5*p - 1. Let l be m(6). Put n, l, -1 in increasing order.\nAnswer: n, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1372415 = -860*m + 805*m. List the prime factors of m.\nAnswer: 24953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -14*j**3 - 6*j**2 + j - 6. Let m(y) = -y**2 - 1. Let w(i) = -3*i**3 + 38*i**2 + 52*i + 57. Let q be w(14). Calculate q*k(o) - 6*m(o).\nAnswer: -14*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -42*u**3 + 5*u**2 + 30*u + 168. Let q(s) = 21*s**3 - 3*s**2 - 18*s - 86. Determine -3*n(m) - 5*q(m).\nAnswer: 21*m**3 - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04063? (a) -6\/169 (b) 0.3 (c) 21 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6102 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*x - 183*x = 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 5*w**2 - 3*w + 6. Let k(y) be the first derivative of -y**3\/3 - y**2\/2 + y - 7. Give 5*k(s) - z(s).\nAnswer: 2*s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = 78*o + 18*o - 1680 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6647.059 - -9.4.\nAnswer: 6656.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from hthmhhmchcmhmhahm.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -94, -186, -316, -484, -690, -934?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5265)\/5220)\/39*((-4)\/14)\/(6\/14)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 4*r - 4. What is the units digit of q(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 351*o**2 - 2081*o + 2080. Calculate u(1).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-8))\/((-5)\/140). What is the derivative of 4*y**4 + w - 17*y**4 - y**4 wrt y?\nAnswer: -56*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12.8, 3\/7, 139?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 732*y**2 + 42789*y + 82626.\nAnswer: -3*(y - 293)*(y + 2)*(y + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 42130 (base 5) to base 10\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2478.743ug?\nAnswer: 2478743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 35*r**2 - 96*r - 22. Calculate c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 21.3661?\nAnswer: -21.2661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Suppose 4*b = 4 + 12. Suppose -8 - 8 = -b*r - 2*u, -4*r + 22 = -u. Let p(m) = -r + 5 - 4*m. What is d(p(j))?\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**6\/2 - 9*t**5 - 203. Find d, given that l(d) = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**3 + 6*c + 2. Let p = 22 - 23. Let x(w) = w**3 - w. Let z(g) = p*n(g) - 4*x(g). Give z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/(3\/(-30)). Differentiate -n + 1 + 0*p - 2*p wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c + 56. Let t be m(6). Let d(n) be the first derivative of -4*n**t - 2*n**3 - 6*n - 1\/4*n**4 + 3. Determine d(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/36450*42 - (-1 - 8\/(-6))?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 2153758?\nAnswer: 2153760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -6*q + q - 10, -r = 2*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1159 + 3.3824. Let k = h + -3.5. Round k to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1752 and 50834\/29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -35. Let z(d) = -d**3 - 3*d**2 - 2*d + 2. Let h be z(-2). Let n(x) = -x. Let c be n(h). Is p < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 57, 5, -2\/3, 370, -0.1?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 83221031 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524551351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3)\/(-12)*13\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 c when four letters picked without replacement from hczcciciyzzhzzzhly.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9de9e + 4?\nAnswer: 9dea2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3056694 and -1?\nAnswer: 1.3056694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11.521821+2065.1\nAnswer: 2076.621821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 2*a**3 + 8*a**3 + 7*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(1105\/68)\/(-13). Solve -i = z*i - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**3 + 65*f**3 - 35*f**3)*(-1 - 2*f - 2 + 1).\nAnswer: -74*f**4 - 74*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven thirds of a year in months?\nAnswer: 308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 593*j**2 + 45185*j + 812175.\nAnswer: -(j - 663)*(j + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 37890 + 27014 = -1187*z for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -399, 3\/2, 14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.2, -0.04, -2, -3729, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0.17384221?\nAnswer: 1.17384221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-7) + (-6)\/(-21). Let y be (6 - 25)*1*-1. Suppose 0 = -h*i - 13 + 1, 2*l - 3*i = y. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**2 - 26*z - 14. Let i be r(-25). Let q be (-6)\/(-35)*(i - 17). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 65. Factor -3*l**3 - 4*l - l + 39*l**4 + n*l**2 - 40*l**4.\nAnswer: -l*(l - 1)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6563662 millennia to years.\nAnswer: 656.3662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -33*z + 34*z. Let x be 2 + 5\/25 + 2605011\/z. What is x rounded to the nearest 10000?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(-3))\/((-7)\/126). Suppose -4*n + 2*n = -o. Suppose 11*h - 56 = n. Is h >= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 516, -21, -4, 10, 1 in increasing order.\nAnswer: -21, -4, 1, 10, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34\/861 + 8912\/240219. Let s = 3895338831677\/18414 - 211542241. Let k = j + s. Calculate the common denominator of k and 17\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10829753 and 984523.\nAnswer: 10829753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4236713.63 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 274, 586, 1012, 1552?\nAnswer: 2206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7206?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74345264437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/305 - 51\/3050. Let w(d) = -9*d + 62. Let j be w(7). Is a greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(-12)*1184\/(-24)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364407 divided by 190?\nAnswer: 364407\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 27776.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3 + 3)*(-v**2 - 3*v**2 + 5*v**2) - 48*v**3 + 22*v**3 - 193*v**3.\nAnswer: -218*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/(s\/(s**(-6\/5)*s))*s)*(s*s*s**(1\/7)\/s)\/s assuming s is positive.\nAnswer: s**(-23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6726 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3864)\/(-196)*(7791\/(-168))\/53?\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - b - 1310 - b**6 + 1310. Let u(y) = -7*y**6 - 2*y**3 - 56*y**2 - 2*y. Let i(k) = 2*s(k) - u(k). Find the third derivative of i(p) wrt p.\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:54 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -71 (b) -6\/11 (c) 0.5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (7 + -3 + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96859000 rounded to the nearest 1000000?\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*i**2 + 0*i + i - i**2 - 24*i**2 as o*i + h + j*i**2 and give j.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.46 - -0.06. Let q = t - 1.6. Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7503820543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w + 66 = -4*g, 4*w - 4944 = -4948 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 16 + 8. Suppose c*b - 8*b = -556. List the prime factors of b.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2. Let f(u) be the second derivative of u**4\/12 + 2*u. Determine j(f(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1731 = -64*x + 905 - 1350 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 3*x - 4. Let w(m) = -4*m**2 - 2*m + 3. Let o(g) = -4*w(g) - 3*y(g). Suppose -4*u = -3 - 1. What are the prime factors of o(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 2*c + 128, 4*m - 5*c - 518 = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33953803264 - 50\nAnswer: -33953803314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1. Let n(j) = 6*j**3 + 4. Give -4*g(v) - n(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233.3 - -258. Let g = 26 - j. Let l = 1.5 - g. Sort -0.2, l, -0.3 in ascending order.\nAnswer: -0.3, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -76509\/5, 1\/2, 3?\nAnswer: -76509\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465.8 milliseconds in nanoseconds?\nAnswer: 2465800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -198 + 0*h**2 + 89 + 3*h**2 - 105 in the form f*h**2 + y + o*h and give y.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003855 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39\/36)\/(2\/(-92)). Let g = 52\/3 + u. What is the common denominator of -79\/4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10142 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 8*j**2 - j + 10. Let s be d(8). Let m = s - -2. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*l - 3*l - 31*l - 22*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 23*x. Let g(c) = -2*c + 2. Let n(m) = -8*m + 9. Let y(f) = 9*g(f) - 2*n(f). Give y(l(u)).\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2825326 minus 0.2?\nAnswer: -2825326.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14320\/280 - 48)\/11. Find u, given that 0 - p*u**5 - 80\/7*u**3 + 0*u + 96\/7*u**2 + 22\/7*u**4 = 0.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41141 - -10?\nAnswer: -41131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*u + 2. Suppose 0 = g + g + u. Let n = 9 + g. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34614199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -16. Let x be 28\/21*w\/2. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/6 - 251*b**2\/6 + 1982*b\/3 - 3458\/3.\nAnswer: -(b - 13)*(b - 2)*(b + 266)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6936 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = 3*p - 7*p, -4*p - 2*i + 24 = 0. Suppose 0 = -4*m - a + 69 + 30, -3*m - p*a = -87. Is 3\/12 - (-5346)\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-4 + 5)) + (-3 + 4 - 17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - -108. Solve -4*i - b - 23 = 0, 2*i + k*b + 19 - 3 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 3*t + 6. Is r(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -917)*2\/16 - 54\/144. Solve 3*k - 110 = -4*j - t, -4*k = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1634 + -1617. Solve -2*m + 4*u = u + 4, 0 = -5*m + 4*u - h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by (-18)\/(((-54)\/(-28))\/(-9)) + (-1 - -4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*u + 40, -6*n = -4*n - 3*u + 18. Let s = n - -75. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r. Let t be n(-4). Let f be (-3 + 10)*12\/t. Let j(i) = i**2 + 6*i + 6. Let a be j(-5). Calculate the highest common divisor of f and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 17. Let w be u(0). Suppose -2*t - 7 = -w. Solve t*y = 11 - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129 or -2?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*s - 10 = 0, -5*q - 17 = 2*s - 4*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -400 - 0.32.\nAnswer: -400.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 18*t**2 + 7*t - 6. Let k be p(17). Let q = k + 404. List the prime factors of q.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10173 and 24.\nAnswer: 81384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005347 to 6 decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*q + 123*q = 5*v - 44, -5*q - 5*v = 75 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Let g(c) = -6*c**2 + 4*c - 6. Suppose -41*j - 11 = -40*j. Let m(z) = 11*z - 2*z - 17*z**2 + 2*z - 17. What is j*g(l) + k*m(l)?\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.02, -5, 5\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000644 rounded to 6 dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(243)*-1*3 + -3 + -3))**2.\nAnswer: 5832*sqrt(3) + 79056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 0*o**2 - 2*o**2 + o**2. Let w(a) be the first derivative of 0*a**2 + 0*a + 1\/3*a**3 - 2. Give n(w(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 32 and -46\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 2 (c) -35 (d) -525.901\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7523565 divided by 5?\nAnswer: -1504713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 - -5.36. What is the closest to 0.1 in 1, n, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.07 - -0.07. Let g(r) = r**3 + 15*r**2 + 44*r + 236. Let m be g(-13). Which is the second biggest value? (a) u (b) 0.01 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 - 225*g + 138 + 226*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/120 + 7*k**5\/60 + k**4\/6 - 2*k**3\/3 - 7*k**2. Calculate the remainder when i(-5) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24706, 49399, 74092, 98785, 123478, 148171?\n\"Answer: 24693*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 875, 1747, 2603, 3437, 4243, 5015?\n\"Answer: -s**3 - 2*s**2 + 885*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + (sqrt(605) + 0 + -3 - sqrt(605)) - ((-6*(sqrt(605) + 0) - sqrt(605)) + sqrt(605)*-1 + 3)))**2.\nAnswer: -1232*sqrt(5) + 38769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaa when three letters picked without replacement from zjbjiajbrjajrrjrjrr?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(0 - 1 + 3)*(1 - 1 + 3)*(8*h + h - 2*h).\nAnswer: 84*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfk when three letters picked without replacement from ffkfkjkj.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7225373ug?\nAnswer: 0.0000000007225373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 150*b**2 - 4*b - 119. Does 61 divide m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -85, -283, -675, -1327, -2305?\nAnswer: -3675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r + 4*u - 160, 2*u = 5*r + 170. What is the remainder when (r\/20 - 1)*-10 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**3 + 7*f**2 + 2*f - 5. Let r(w) = 13*w**3 - 10*w**2 - 3*w + 7. Let q(a) = -5*r(a) - 7*x(a). Find v such that q(v) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -23. Let i = 0.5 - 0.44. Which is bigger: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 11, 2, -1, 14, 5 in decreasing order.\nAnswer: 14, 11, 5, 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - -2 - 10 - 6) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -81919\/58940 + 7\/1684. Find the common denominator of -19\/20 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from kkkkkkkjkkkjjk?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 13) + 17*120\/340. Let i(r) = r**3 + 5*r**2 + 4*r + 1. Let z be i(-4). Sort g, -4, 4, z.\nAnswer: g, -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14881669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-27) + ((-24)\/(-675))\/(2\/(-8))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 882 and 23?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.86 + 0.14. Let d = c - 40. Put 3, -0.5, -15, d in descending order.\nAnswer: d, 3, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -217?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 21 + 21 + (-5*t**2 + 3*t**2 - 2*t**2)*(3 + 0 - 1).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 35. Give r(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6 - 6 = 0. Let f = 0 + 1. Let b be (-2)\/3 - 11\/(-12). What is the closest to f in 0.2, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffo when three letters picked without replacement from foofffffffoffofoff?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*w = 103*w + 70. Let y be 0 + w\/(-2) + -146. Let i = -149 - y. Solve 4*h = -2*k - 4, 0 = 2*k - h + i*h - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -31753796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 909 and 5353?\nAnswer: 48177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25250498 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 11:45 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7*a = 4. Suppose -v + 4*h + 140 = 0, -5*v + v + 490 = -a*h. Suppose q = p - q - v, 2*p = -3*q + 205. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3, 0*j - 6 = 2*j + 2*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29156 and 74.\nAnswer: 29156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 44. Is 179 + (-3 - -4 - s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -4 + (-11 - -777). Let w = -416 + t. Do w and 344 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 - -116. Solve 3 + 6 = -s*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/4 + 4*p**3 + 7*p**2\/2 - 12*p - 10052. What is s(12)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(36\/48). Suppose -5*d - f = l, 2*d - 2 = -l - 2*d. Calculate the remainder when -2 - (-5)\/((-5)\/(-72)) is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43530393 and -8.\nAnswer: 348243144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2896135 and 2783?\nAnswer: 66611105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-8 - (10 - 18)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 5*m + 7. Calculate s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 1 + 4*l + 1 + 1 + l**2. Suppose -2*q - 2*n + 6*n = -10, 4*n = -q - 7. Let y(w) = 8*w**2 + 8*w + 12. What is q*y(r) - 10*s(r)?\nAnswer: -2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 28) + (1 + -2 - (-2 + 3 + -1)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**5\/60 - 13*i**4\/24 - 5*i**3\/2 - 3*i**2 + 10*i. Calculate w(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 90*z**2 + 38*z - 455. Is x(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + 6*z - 10. Calculate the remainder when g(2) is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.015\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -163b69?\nAnswer: 163b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1)*0 - 629. Let h = 1687998 + -1688626. Are t and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*g*l**2 + 299*g*l - g*m - 1166*l**2*m wrt m?\nAnswer: -g - 1166*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1485 + -1486. Let k be (-10)\/(-4) + 2\/(-4). Let r be (k*-1 - -4) + -2. What is the closest to 1 in 1, s, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -19*w + 23*w + 64, -40*w + 79*w = 3*m + 41*w + 29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/11 - 3266*x**2\/11 + 13106*x\/11 + 16370\/11 = 0. What is x?\nAnswer: -1637, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142588 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1827418025 divided by 5\nAnswer: 365483605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:19 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-11))\/((-1290)\/473)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 898963 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -v - 2, 2 = g + 8*v - 9*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*r + 4*t - 14, r - t - 6 = 0. Sort 3, r, 4.\nAnswer: r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/40 - (-141470)\/4300?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 4:15 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116718104.\nAnswer: 2, 14589763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0142 (b) 4 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-165)\/(-6) - 2\/(-4). Suppose 3*b - 4*b - 67 = 4*h, 5*h + 110 = 4*b. Calculate the common denominator of 32\/9 and (-86)\/n - h\/(-12).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137.3 + -137. Let k = -3 - -14. Which is the third biggest value? (a) r (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.3 + 15. Put u, -1, 1 in decreasing order.\nAnswer: 1, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8018811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/37, -207, 0.2, 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18409133681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209.9 + 211. Put 22, 1\/10, x in decreasing order.\nAnswer: 22, x, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 2*f**3 + f**3)*(-15*f + 6*f - 18*f).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f**2. Let r(i) be the first derivative of 333*i**2\/2 + 109. Calculate r(q(s)).\nAnswer: -3330*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c**2 - 14*c**2 + 0*c**2 - 9*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/15 - 1136\/2840. Let u be 2\/(-12) + (-2)\/(-4). Which is the third biggest value? (a) -9 (b) -0.2 (c) l (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j + 234. Calculate k(-35).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 + 10*r**4 + 182*r?\nAnswer: 20*r**3 + 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2 - 10 - 3*k + 7 - 4*k - 4*k. Suppose -4*i - 12 = -3*i. Is r(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2306246*i**2 + 20*i + 16. Let g be c(-4). Round g to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**5 - 1731*j**4 + 1134*j**3 + j**2 - 9844397*j + 1 wrt j.\nAnswer: -660*j**2 - 41544*j + 6804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*v + 30, 7*i - 20 = 6*i - 4*v. Suppose 2684 = -i*u + 18236. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 - -124. Suppose z = -10*g + 2394 + 9376. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/sqrt(112))\/((sqrt(4)*-1 - sqrt(4))*-2) - (-2 + 2 + sqrt(637) + -3).\nAnswer: -111*sqrt(13)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*1 - (-27 + 14). Suppose -n - v = -u, v + 3*v = -n + 14. Let y = n + -9. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 156, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.912 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7841.34+-45.77\nAnswer: -7887.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 12*f**2 - 2*f + 15. Let t be d(12). Let z be 84\/(-8) - t\/(-6). Does z = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*r**2 + 71*r**2 + 17*r**5 + 4*r**5 wrt r.\nAnswer: 1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 4*k - 3*k + 74*k**2 - 59*k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110 = 19*q - 57*q - 36*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -192705, -192647, -192543, -192387, -192173, -191895?\n\"Answer: x**3 + 17*x**2 - 192723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*v = -574*v + 2*j - 5*j - 3*j - 35, 2*v = j + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 4. Let y(u) = 2*u**2 + 3. Let q(j) = -3*b(j) + 4*y(j). Let s(f) be the second derivative of -7*f + 0*f**2 + 0 - 1\/3*f**3. Determine s(q(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r + 9*r)*(-402*r**2 + 7730 - 7730).\nAnswer: -3618*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*b - 30, 3*b + 3*c + 21 = -0*c. Let n = -97 + 96. Which is smaller: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.80157 millilitres?\nAnswer: 0.00280157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-14))\/(1323\/12642)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15*g - 1. Let q(x) = 93*x + 27. What is -2*q(i) + 10*v(i)?\nAnswer: -36*i - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 - -235. Solve -4 = 15*f - r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzp when four letters picked without replacement from zpppappppzpzppppa?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553160984 divided by 14556868?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5 + 176475*t**4 - 1557259505*t**3 + 1556730105*t**2 + 3114166090*t = 0. Calculate t.\nAnswer: -1, 0, 2, 17647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -657 - -1002. What are the prime factors of m?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/((-10)\/25)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64, 66, 68?\n\"Answer: 2*b + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 53321?\nAnswer: 53321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**6\/120 + y**5\/15 - y**4\/24 + y**3\/6 - y**2. Let n be l(-4). Suppose 11 = -0*u + n*u - 2*c, 5*u = 3*c + 14. Is 7\/3 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 324 and 0.5.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (343\/(-112))\/(2\/(-8)). Let w = f - 12. Which is the smallest value? (a) 1\/6 (b) 7 (c) -6 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5013 = 53*c + c - 2709. Let p = -23 - -36. Calculate the highest common factor of p and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7707 - 4567. What are the prime factors of c?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 818.42 times 4\nAnswer: 3273.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2182480 or -2182477?\nAnswer: -2182480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - z + 1 = 0, -1010*n = -1013*n - 6*z + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**5 + 2344*b**4 + 9320*b**3 + 4640*b**2 - 9324*b - 6984 = 0.\nAnswer: -582, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8444.2 - -8444. What is the nearest to 0 in o, 191, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 6. Let p be t(-5). Find the second derivative of -3*j - 2*j**4 + j + p*j wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8214241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1386*o - 7041. Give y(5).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 17*a + 230. Which is smaller: a or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000505252872 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 31*m + 184. Let t be b(-36). Solve 6 = 4*i - 2*q, 0 = 4*i - i - t*q + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*a**4 - 40*a**3 + 3*a - 10?\nAnswer: -492*a**2 - 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let a be 2\/(-3) + ((-56)\/12)\/(-7). Let r(k) be the third derivative of -1\/8*k**4 + 0*k + 0 + 2*k**2 + a*k**3. Calculate r(h(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 84137767.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*s**4 + 2*j**3*x - 91618*j**3 - 2*j**2*x - 48500*s*x + 4*x with respect to s.\nAnswer: 8*j**3*s**3 - 48500*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 382431615 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1061.856 litres?\nAnswer: 1061856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17447*c**2*j**3 - 10*c**2*j + 59*c**2 - 3*c - j**3 wrt j?\nAnswer: 104682*c**2*j - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6416.724 centuries in decades?\nAnswer: 64167.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 132 - 0?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -15d38?\nAnswer: -15d38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 30 + 102 + 3*r - 13*r.\nAnswer: -2*r + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16730 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 13767 = x - 2*x, -5*g = 4*x - 13758. Does 71 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7*u = -88, 5*r + 172 - 143 = 6*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q = q + 23 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1148, -5999, -10850, -15701?\nAnswer: -20552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 161579?\nAnswer: -1777369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1737, 2, 205, 3 in increasing order.\nAnswer: -11, 2, 3, 205, 1737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (956\/33938)\/((-6)\/3).\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 4. Let g be k(-4). Let r(x) = x**2 - 8*x + 3. Let o be r(8). Suppose w = 2*w - 4*j - 2, -2*w - o*j + 48 = g. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10501195.\nAnswer: 5, 2100239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:12 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 13*v**2 - v + 26. Suppose -p + 0*z + 76 = 2*z, 2*z + 356 = 5*p. Suppose -p = 5*m - 7. Calculate the remainder when g(m) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5103 and 67\/362313?\nAnswer: 362313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14629617 is divided by 199.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 72 = -4*l, 4*u + 0*u - 232 = -2*l. Let o(v) = -3*v + 44. Let h be o(10). What is the highest common factor of h and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 4*b**2 + b + 5. Let i be (1 + 2)*(1 - 4). Let z(k) = -k - 13. Let f be z(i). Determine v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -618, -608, -612, -636, -686, -768?\n\"Answer: -c**3 - c**2 + 20*c - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -5, 8\/9, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s - 79. Let y be x(8). Let j(q) = 14*q**3 - 7*q**2 - 7*q + 7. Let a(o) = -5*o**3 + 2*o**2 + 2*o - 2. What is y*a(g) - 2*j(g)?\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3383 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 95.4?\nAnswer: -95.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 7*q + 7. Let n be x(3). Suppose -5*u + n*r + 238 = 0, -r - 26 = -3*u + 121. Let g(b) = 3*b - 24 + u - 26. Let t(f) = f. Give g(a) - 6*t(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 451 = -2*b - 39, -2*b = 4*h - 818. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (-7 - 0) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3539 = 96*d - 1396 + 5825 for d.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 30 = 6*p. Let g(r) = r**3 - 6*r**2 + 4*r. Let c be g(p). Suppose c = 4*w + 4*m, 4*m + m = -15. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - g + 0*g as q*g + c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*l + 16 = 0, 4*g = 5*l + 1078 - 1085. Solve g*d - 85 + 98 = 3*i, 0 = 5*d - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -165, -251, -341, -435, -533?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 12:50 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67167, 67165, 67163, 67161, 67159, 67157?\nAnswer: 67155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318 (base 11) to base 13.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4950*700\/(-42))\/((-1)\/320). Round z to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1328 + 349*w - 1745*w + 347*w + 345*w + 354*w + 347*w - 1328.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2770584 and -1200.383.\nAnswer: -1200.6600584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 6:20 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.035675 + 0.0362. What is v rounded to five decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -26*c + 171. Determine j(0).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*m - 16 = 0, 23*a - 5*m + 339 = 359 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13743 is divided by 4460?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:19 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441, -1970, -4517, -8082, -12665, -18266, -24885?\nAnswer: -32522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 186, 392, 598, 804, 1010, 1216?\n\"Answer: 206*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Suppose b + b - 4 = n. Suppose 2*a = 5*q + 4, 0 = -5*a + 3*a + b*q + 16. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 - j**2 - j**2. Let u be (-2)\/(-6) + 8\/(-6). Let q(f) = -6*f**2 + 9*f. Let k(m) = -m**2 + m. Let r(h) = u*q(h) + 9*k(h). Give r(p(l)).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 25*y + 3*l + 1796 = 0, 5*y = 3*l + 4463. Calculate the greatest common factor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20172 and 4320170.\nAnswer: 25921020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**2 - 2*g + 2. Determine b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - b + 1036, b + 1166 = 3*c - 383. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -194, -297, -404, -509, -606, -689?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1358\/98 + (-4)\/(-56)*2. Solve 10*i - p*i - 12*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85810748 and 22?\nAnswer: 943918228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.038, -0.625, 0.5, -0.1, 5?\nAnswer: -0.625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 1684*a - 62545. Calculate b(-38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**4 - 3*a**4 + 2*a**4 + (12 + 3*a**3 - 12)*(2 + 1 + 0)*(-5 + 3 + 4)*(a + 3*a + 0*a) to w + v*a**2 + q*a + h*a**3 + f*a**4 and give f.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2156 or 1870?\nAnswer: 1870","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Add 628 and -363.7.\nAnswer: 264.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4984)\/490 - -31 - (8 + 13)\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1182.06564 - -0.46436. Let q = 1172 - j. What is q rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20*8\/16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + o + 60 = 0, 39 - 3 = 3*l + 5*o. Let f be 1\/(-2) - (-22)\/l. Factor f + 14\/3*k + 10\/3*k**2.\nAnswer: 2*(k + 1)*(5*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -59*t**3 + 2*t**2 + 7*t - 8. What is q(1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2164*f = -18773 - 13946 + 2423 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = -6*v + 3132. List the prime factors of v.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/2, 1, -0.04, -1294 in decreasing order.\nAnswer: 1, 1\/2, 0.1, -0.04, -1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -16, 7 in ascending order.\nAnswer: -16, -7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/4)\/z)\/(z\/z**(-7)))\/(z*z**(-6\/11)*z*z\/(z*z*z*z\/z**(2\/11))))\/((z**0)**(2\/45))**(9\/4) assuming z is positive.\nAnswer: z**(-303\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**3 - 1. Let g be q(-1). Suppose 4*a + 1 = g*a. Solve o = -5*k + 15, 3*k - a + 9 = -4*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -1 - 24 - -47 - 4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 14*m - 4. Let k be b(-15). Suppose -4*z + k + 12 = -a, -2*z - 5*a - 5 = 0. Suppose 0 = -z*l - 20, 4*s - 872 = -4*l - l. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1390.666938 - -1645.6672. Let r = -254.598 - 0.402. Let b = r + g. What is b rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-69*o + 79*o + 174*o)*(8 + 4 + 3 + 7) to z + m*o and give m.\nAnswer: 4048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70346?\nAnswer: 2, 17, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 82 + -111 - (-20 - -53)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*n - 120*n + 12 = 0. Solve n*h + 18 - 2 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*t**5 + 88*t.\nAnswer: 3640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0489537 to 4 dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.8 + -3. Let c = -0.3 + b. Suppose p + 21 = 22. Sort p, -3\/7, c in descending order.\nAnswer: p, -3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/x)**(13\/6)\/(((x*x**(3\/7))\/x)\/x*x**(-4)) assuming x is positive.\nAnswer: x**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601a0 (base 11) to base 5.\nAnswer: 10304302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 22 = 4*n, -4*n = 3*m - 34 + 9. Solve n = 5*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 2, -38 in decreasing order.\nAnswer: 2, -34, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*m**2 + 40*m**2 - 469 + 375*m**3 - 54*m**2 wrt m?\nAnswer: 1125*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -b - 2 - 8, -2*b = s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 2 + 0)*(-7*h - 15*h - 18*h).\nAnswer: -40*h**2 + 80*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 2*j**3 - j**2\/2 + j + 2. Let o be u(1). What is the second derivative of o*y**4 - y - 2*y**4 - 3*y wrt y?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -58. Let y(g) = -3 + 5 + a - 3. Let u(c) = 18*c**2 + 10*c + 4. Let k(l) = u(l) - 4*y(l). What is the second derivative of k(d) wrt d?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as -50670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.964 + 0.964. Which is the nearest to 2\/7? (a) t (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22368a (base 14) in base 16?\nAnswer: 11bb1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 0.3 in decreasing order.\nAnswer: 0.3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441194992 divided by 4.\nAnswer: -110298748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/90 + 5\/(-180)*-8?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -18*p - 236. Determine k(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/98 != 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**2 - 5232*z - 1710864 = 0.\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 59 = 9*v - 5*z, -4*z - 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -54*w**2 + 383*w + 23. Let m(f) = -162*f**2 + 1174*f + 70. Let n(l) = -4*m(l) + 11*y(l). Determine g so that n(g) = 0.\nAnswer: -1\/18, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -1147*s**5\/30 + 63*s**4\/8 + s**3\/3 - 79*s**2 - 4*s. What is the second derivative of r(p) wrt p?\nAnswer: -4588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 3*k**4\/32 - k**3\/8 - 9*k**2\/8 - 705. Factor c(f).\nAnswer: 3*f*(f - 3)*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/653 and -61\/1306.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 684.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14110 is divided by 395.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - sqrt(48)\/(sqrt(6)\/sqrt(2)))\/(-3*sqrt(8)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611294 to the power of 1\/2, to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1610\/(-220) - -8) + 2\/(-8)*2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2. Let v(s) = 2*s + 3. Let j(o) = -2*o - 3. Let i(b) = -6*j(b) - 5*v(b). Let l be i(0). Let g(h) = -9*h + l*h + h - 3*h. Determine g(z(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*p = 15, 3*j - 2*p - 2*p = -5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3211229002 to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 25. What is the greatest common factor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185637\/661 or -280?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1774 - 8763*q - 3553 + 1779.\nAnswer: -8763*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + 2*sqrt(396) + sqrt(396) + -2)**2 + -1)*6.\nAnswer: 216*sqrt(11) + 21384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/7)*z**24 assuming z is positive.\nAnswer: z**(167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(95) + sqrt(95)) + ((sqrt(95) + sqrt(95)*-1)*-6 - sqrt(95)))\/((sqrt(5) - (sqrt(5) + -6*-2*sqrt(5)))*6).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -21, 1, 615, -4 in ascending order.\nAnswer: -21, -4, 0, 1, 5, 615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/65 + (-1212)\/(-7371) and -103\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/2 - 141944*a**3 + 10074049568*a**2 = 0.\nAnswer: 0, 141944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 3*y**2 - 2*y + 4. Let d be r(-3). Round d to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 159, 0, -1\/86, -2.28?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -822*m**4 - 1186 - 1268*m**4 - 260*m**4 wrt m?\nAnswer: -9400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 6*x - 6, 3*d - 3223 + 3214 = -x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -8. Calculate the lowest common multiple of 26 and o.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67056 and 2495931.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.48 - -3.48. Is v > 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.288201 and 116?\nAnswer: 116.288201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -1\/120*s**6 + 0*s**4 + 0*s + s**2 - 2\/3*s**3 + 0 + 0*s**5. Find the first derivative of r(u) wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-5 + 25 + (6 - 7 - 9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 13*z**2 - z + 14. Let w be k(13). Let g = 23 - w. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**2 + 2*q + 4. Let o(v) = 11*v**2 - 4*v - 9. Let p(w) = -5*i(w) - 2*o(w). List the prime factors of p(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3 - 4*t**2 - 10*t + 12 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**4 - 9900*l**3 + 4857545*l**2 = 0. What is l?\nAnswer: -2387, 0, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 297, 434, 571?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12)*(-12)\/(-6). Let n = 4 - 2. What is the third smallest value in 4\/3, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + p + 12, -43*v + 41*v - 12 = 2*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 24 = -4*t, 3*t + 4*i + 53 - 49 = 0. Solve 0 = z + 11*k - t*k + 2, 2*z = 3*k + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 5598.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*1*-2*(-1062)\/24.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i + 1976. Let v = i - -9384\/19. Is -0.1 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 620735 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 193*z**6\/30 + z**3\/2 - 91*z**2\/2 - 59*z - 3. Find the second derivative of c(n) wrt n.\nAnswer: 2316*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**3*o**2 - 316*d**3 + 484*d**2*o**2 wrt o.\nAnswer: -6*d**3*o + 968*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -5030, -13183, -24586, -39233?\nAnswer: -57118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/3 - 100*m**2\/3 + 572*m\/3 + 676\/3.\nAnswer: 4*(m - 13)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.057 times 8160\nAnswer: 465.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 0)**2*4 + 5.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/12 + 4*q**3\/3 + 9*q**2\/2 - 2*q. Let v be h(-7). Let n(o) = -3*o - 3. Let l(m) = -4*m - 4. Give v*l(u) - 3*n(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 305910508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/84 - (-2)\/6. Let t = -19060 + 19068. Let d = 7 - 6.5. Which is the closest to t? (a) d (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b0 + -1b?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 114 + -1 + -2 + 2 + 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:59 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -130.93748 + -0.06252. Let t = -0.324 - -129.324. Let w = t + a. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l)**(-12)\/((l*l**0)\/(l*l\/(l**(-3\/4)*l))) assuming l is positive.\nAnswer: l**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(5\/7) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + m + 35. Suppose g + 50*g - 4*g + 188 = 0. What is p(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqo when three letters picked without replacement from qqoooooooo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3568206?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5198*b**2 - 9*b + 896.\nAnswer: 10396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 8. Let a(f) = -f + 1 + 3 + 3*f + o. Let q be a(-4). Round q to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, -584, 1\/2, -3.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 783 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 12*s + 19. Let y(r) = -3*r**2 - 2*r - 1. Let x be y(-2). What is a(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 + -57. Suppose -4*k = -t - j, 3*k - 5*t - 5 = 20. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21536 is divided by 1041.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4649, -19486, -44229, -78890, -123481, -178014, -242501?\nAnswer: -316954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104295\/4 - 26643. Let p = k + 586. Find the common denominator of p and 83\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - 2*i**3 + 2*i**3 - 2*i**4 + 2*i**4 - i**4 + 2*i**4 - i + i + (3*i + i**4 - 3*i)*(7 - 3 - 3).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1391255 by -278251.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2339\/19 - -123. Let g = -5.35 - 0.15. Let r = g + 2.5. Sort h, -2\/11, r in ascending order.\nAnswer: r, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27127.38 + 29308. Let n = g + -2207. Let b = -26 - n. What is b rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -267 - -271. Suppose 0 = s + 2*f - 8, 0 = 4*s - 9*s + f + 7. Let g = 3 - 3.2. What is the nearest to 7 in b, g, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 558 = 4*x, 126*x - 123*x + 3*j = 396. What is the least common multiple of x and 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908256039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-3 - -3)) + -20 + 35 + 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180072)\/(-2145858))\/((-3)\/(39\/(-2))).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 5:09 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -439*q - 113*q - 698*q - 177*q to f + t*q and give t.\nAnswer: -1427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 9*x**2 - 5*x - 6. Let g be w(8). Let l be (-16 - -18)\/((-9)\/(216\/16)). Sort l, g, -1.\nAnswer: l, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16.5015387ms?\nAnswer: 0.00000019099003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 0.0738?\nAnswer: 0.0738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -2266, -4886, -8588, -13372?\nAnswer: -19238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l - 84*l = -175*l + 9863. Calculate the remainder when l is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 334 + -331. Which is the biggest value? (a) s (b) -1\/2 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/8 - (1 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from eeeeeeeeeeemeee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 93, 129, 163, 195, 225, 253?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 368.3 and -10.\nAnswer: 358.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267480283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x - 3*x - 3*x - x. What is n(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 divided by -572\nAnswer: 139\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -120668 divided by -120668\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 130*p**2 - 26*p - 26. Let r = -1654 - -1659. Let q(x) = 26*x**2 - 5*x - 5. Give r*c(i) - 26*q(i).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1021*c + 180060. Determine k(177).\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2510, 2508, 2506, 2504?\n\"Answer: -2*q + 2512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1892 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -3*q**2\/2 - 6*q + 19. Let w(i) = 3*i + 5. Give -3*u(c) - 4*w(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 414.9 - 415. Let g = -7 + 6. Let p = g - 4. Which is the third smallest value? (a) j (b) -1.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 7*o**2 - 9*o + 1. What is the smallest common multiple of (7 - 2) + 2 - -1 and u(-8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262626769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -0.0404, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2177*n**2. Let u(p) = 104*p**2 + 51*p. What is u(z(b))?\nAnswer: 492890216*b**4 - 111027*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**37*z*z\/(z\/z**(-16\/5))*z)\/((z*(z**26\/z)\/z*z)\/(z\/((z**(3\/10)*z)\/z))) assuming z is positive.\nAnswer: z**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 200 = -4*r. Calculate the common denominator of -31\/11 and ((-56)\/r)\/(8\/5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154154166?\nAnswer: 2, 3, 25692361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3\/23)*o**(-19))**(2\/41))**3 assuming o is positive.\nAnswer: o**(-2502\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42.6 + 95. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -73 (c) 0 (d) 0.3 (e) 15 (f) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 13*p - 295. Let z(g) = 16*g - 285. Calculate 6*i(h) - 5*z(h).\nAnswer: -2*h - 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2870*t + 17902. Let c be x(6). Solve 0 = -3*f - i + 1, 3*i - 685 = f - c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from cmprruufm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*m - 20 = -5*m, 25 = 5*m. Suppose 2*d - y*g - 1256 = 0, 4*g - 2*g = 4. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59166590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3348105977 - -13857.\nAnswer: 3348119834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/(-4)*840\/(-1470).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -35\/12*j**4 + 0 - 17*j**2 + 0*j**3 - 8*j. Differentiate c(w) wrt w.\nAnswer: -70*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-18))\/(3\/(-27)). Let o(k) = 3 - 9 - 3 - 363*k**2 + 5*k - n. Let c be o(4). Round c to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/15 + -19\/60. Let p = 0.2 - 0.33. Let u = p - 2.87. What is the closest to -1\/3 in u, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*a + 2, -2*a = -h + a + 5. Suppose -7*x + 526 = 715. Which is bigger: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254385 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-75)*-4*9\/24.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 1 + 11 - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Suppose -2 = -q*i - 18. Put -1, -5, i in descending order.\nAnswer: -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -237*l**2. Let t(x) = 23*x**2. What is w(t(s))?\nAnswer: -125373*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837 = -16*b - 11*b. Suppose -4*x - 5*n - b = -83, -4*x + 44 = 3*n. What is the smallest common multiple of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 130. What are the prime factors of f?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(150)\/sqrt(3))**2)*-4 + ((2 + 0 + sqrt(242))*-3)**2.\nAnswer: 396*sqrt(2) + 2002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 0. Let m = -41.5 + y. Let j = 0 - 1. What is the closest to -1 in -2, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404289?\nAnswer: 3, 29, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 14*i**2 - 75*i + 440. Calculate d(17).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -289*f + 872. Let w be n(3). Sort 2, 13, 4, w, 0.\nAnswer: 0, 2, 4, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 75\/(-65) + 6\/39. Let f be 4\/(4\/g) + 5. Solve 4*i + 17 = d, 5 = 6*i - i + f*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3))*-3 + sqrt(3) + 3.\nAnswer: -2*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677461216?\nAnswer: 2, 52420663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 460328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*-3)\/(-5*(sqrt(252) + sqrt(7))).\nAnswer: 6*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.06, 4, 164\/7, -5, 2, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-12)*3078\/(-90). Calculate the highest common divisor of 6 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 5*k**2 - k + 9. Let g be i(5). Solve -t = 3*a - a - 5, -g*t + 3*a = 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 13, 4 in descending order.\nAnswer: 13, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millisecond in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-4)\/(m**0*m*m)**(-1\/2)*(m\/(m*m**3)*m**3)\/((m*m**(1\/5))\/(m\/((m**6*m)\/m))) assuming m is positive.\nAnswer: m**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, 4, 1\/5, 2\/7, 1 in descending order.\nAnswer: 4, 1, 2\/7, 1\/5, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = -21*x + 252. Solve 4*w = -4*d - 20, -19 - x = 5*w + 3*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {e: 7, i: 4, d: 3, g: 1, f: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 4*g + 3. Let z be (-21 - -9)*(-6)\/(-8). Let r(c) = 5*c**2 - 9*c + 7. Give z*x(y) + 4*r(y).\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*s - 534*s = -1098*s - 9, -2*a + 9*s = 15 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -646*c + 648*c + 3*l, 0 = -4*c - 20*l + 17 + 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15045168 is divided by 3761291.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 18*z - 20. Solve d + 3*g = 12 - z, 5*d - 5*g + 20 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**3 - 589150*p**2 + 14142605*p + 14731750 = 0.\nAnswer: -117854, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-7) - (-170)\/(-357)) + 6\/18. Let i = -4 - -6. What is the third smallest value in h, i, 1\/3, -0.07?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -9*z**5 + 81*z**4\/2 - 79*z**3\/2 - 19*z**2\/2 + 41*z\/2 - 3 = 0.\nAnswer: -2\/3, 1\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*r + 8 + 67 = 0, 4*u - 5*r - 145 = 0. Let o = -21 + u. What is the highest common factor of o and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -121 - 299. Let x be q\/11 - (-14)\/77. Let o = x - -38. Solve 2*f - 4*y + 5 + 3 = 0, 3*y - 3 = o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198 + 235. Suppose 3420 = -u + o*u. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 682 and 15598.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3972 = 96*a - 668*a + 8612 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*m + 7. Let s(l) = -3*l**3 + 7*l**2 - 8*l + 8. Let q(g) = -g**3 + 1. Let t(o) = m*q(o) + s(o). Determine t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) 0.4 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 7*n**4\/24 + 5*n**3\/3 + 29*n**2\/12 + n + 718. Solve f(v) = 0 for v.\nAnswer: -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 57*y**2 + 7*y. Let x(s) = -s - 72. Let a(u) = u + 60. Let w(c) = -6*a(c) - 5*x(c). Calculate w(d(v)).\nAnswer: -57*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 17*z**2 + 17*z + 33. Calculate the remainder when (-1 - -3)\/(12\/162) is divided by b(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 + 29*l**2 + l - 29. Let d(y) = 2*y**3 - 19*y**2 - y + 19. Let b(w) = -7*d(w) - 5*r(w). What is the remainder when b(12) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + w = -31, 4*b + 3*w = -0*b + 19. Let p = b - 87. What is the common denominator of -53\/4 and 6\/(-3) - p\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 - 9\/2*n - 3\/2*n**3 - 9\/2*n**2.\nAnswer: -3*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247241 (base 8) to base 3\nAnswer: 11100111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 8*u + 6)*((0 + 2 - 4)*(-5 + 1 + 2) - 3 + 6 + 2)*(3 - 2 + 1) to v*u + w and give v.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4754469 to three decimal places.\nAnswer: -1.475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from txqqqttqltlltqq.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3679991, -7359983, -11039975, -14719967?\n\"Answer: -3679992*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4485771307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1050)\/7*(-13 - -28)\/(-45). Let u(c) be the second derivative of 0 + 5\/3*c**3 - 18*c**2 + z*c. Differentiate u(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 858149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -4*(-1*(sqrt(152)*-3 - sqrt(152))\/sqrt(8) + -3)*-6*2)**2.\nAnswer: -219648*sqrt(19) + 2883460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3981 - 180302594.\nAnswer: -180306575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/15 and -65\/428541?\nAnswer: 2142705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Suppose 0 = -4*b - 20, 5*q - q - 5*b - 817 = 0. Let w be (-69)\/q*-1 - 4\/22. Put 1\/3, w, f, 4 in descending order.\nAnswer: 4, f, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179 + -69. Suppose 2*m - 4*q = s, 0 = -5*m - 5*q + 371 - 96. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 13 = 3*f, 0 = f - 5*r - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -10\/13, 3.4, -0.389?\nAnswer: -0.389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 36. Which is the second biggest value? (a) -1\/2 (b) y (c) 1\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = p + 8, 3*p - 6*r + 10 = -4*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14469 at least 507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 - 5*r - 11. Suppose 18 = 6*i - 12. Is b(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28574601 a multiple of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*160.7\nAnswer: 64.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 + 6 = 0, 4*v - 7 = -h. Sort 6, 7, h in descending order.\nAnswer: 7, 6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjpppppppj. Give prob of picking 4 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11121?\nAnswer: -11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/5, 11, -0.01, -0.064, -0.2, 40?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-473)\/924*12?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/((-2)\/(-2)))\/(-1). Suppose 0 = 2*y - 4, 2*y - 3*y = 3*a - 56. Let u be (-42)\/a + 2*1. Which is bigger: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*l - 1224 = 198*l. Solve 0 = -75*h + l*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 23. Let c be k(19). Let a = 25 - -31. Calculate the greatest common factor of c and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/239891?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 453839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2034 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + f)*(2 - 3 + 0) + 0 - f + 0 - 2*f + 3*f + 0*f - 7 + 7 - 7*f)*(5*f - 5*f - 3*f**2).\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.335 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1648504, 3297009, 4945514, 6594019?\nAnswer: 8242524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (29 - (-11 + 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -14*s**3 + 14*s**2 - 14*s + 7. Let k(q) = -9*q**3 + 9*q**2 - 10*q + 5. What is -7*k(z) + 5*p(z)?\nAnswer: -7*z**3 + 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -351899691 or -351899690?\nAnswer: -351899690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 4*h**2 - 2*h + 3. Let v be p(4). Let a(f) = 20*f + 3. Let u be a(v). Let d = 86 - u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 1642752.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 2. Let g be q(-2). Let w be 5 + 2 + 2\/(-2). Suppose -w*s = -11*s. Solve 2*b - g*b - 16 = s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*i - 96*i + 572*i - 153*i - 1 - 155*i.\nAnswer: 35*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 196*s**4 + 189448*s**3 + 18940448*s**2 + 83624960*s + 94445568 = 0.\nAnswer: -854, -108, -16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*i + 42 = 518, 5*r = 5*i + 470. Suppose 1696*p - 3 = 843*p + 852*p. Calculate the remainder when r is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/55 + 4\/22 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*5*sqrt(88) - sqrt(88))*1)\/(3*sqrt(512)*-1).\nAnswer: -29*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -49*t**4\/12 + 563*t**3\/6 - 46*t**2 + 3. What is the derivative of x(s) wrt s?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149796 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -37, -59, -85?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zszs when four letters picked without replacement from zzzzzss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28.0459756+103373.5\nAnswer: 103345.4540244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-104*s + 252*s - 1092*s - 285*s)*(3 - 25 - 16) in the form t*s + b and give t.\nAnswer: 46702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2999*w - 9116 = -59386 - 9710 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 - 0.14. Which is the smallest value? (a) 2 (b) -3 (c) 5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, n: 2, d: 2}. Give prob of picking 1 d and 1 v.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*l + 18, 3*l - 23 - 9 = -2*x. Suppose l*d = 2*d - 960. Is (-8)\/(-4) - ((-1)\/(-1) + d) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 135 - 135 - s**2. Let t(d) = -d - 19. Determine r(t(j)).\nAnswer: -j**2 - 38*j - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19355965 a multiple of 335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4079\/8 - 510. Let y = 0.044 - -4.956. Which is the second biggest value? (a) t (b) y (c) 0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -118, -2, 9, -3, -1 in increasing order.\nAnswer: -118, -3, -2, -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(33)\/sqrt(3)))\/sqrt(8) - (5 + (sqrt(120)\/sqrt(4))\/sqrt(10) + sqrt(3)).\nAnswer: -5 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**3 - 2*o**2 + 1. Let t(m) = -4*m - 1. Suppose -7*w + 1 - 22 = 0. Let x be t(w). Suppose x*a - 14*a - 3 = 0. Determine k(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-70)*1995\/(-63).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217221, 217272, 217323, 217374?\nAnswer: 217425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 32 = -5*d. What is the units digit of (-4)\/(-22) - (-394)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8521 minus -0.4?\nAnswer: -0.4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -96328190.\nAnswer: 19265638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r**2 - 22*r - 7. Let n(u) = 9*u**2 + 15*u + 5. Give -5*c(l) - 7*n(l).\nAnswer: 2*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let y(q) = -q + 1. Let o be y(j). What is the second derivative of t**2 + t + 4*t**o - 3*t**2 wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -1)*1\/2. Suppose j = -3*t + 6, l + 5*t - 1 = 4*l. Suppose -l*c + 54 = -c. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*l**2 - 104*l**2 + 725*l**2.\nAnswer: 341*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.267? (a) 5 (b) -0.2 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 - f**4 - f**4 + (-2*f**4 + 0*f**4 - 3*f**2 + 2*f**2)*(-4 + 2 + 0) + 2*f + 27*f**2 - f**4 - 2*f.\nAnswer: f**4 + 29*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7344310.\nAnswer: 2, 5, 734431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 26*x - 65*x + 351*x - 5*x + 180*x as d*x + q and give d.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 4. Determine x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 4 = 2*z, 75*i = -z + 70*i - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 71. Let b = f - 31. Suppose 5*s - 2*s = b. Calculate the highest common factor of 64 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 175551550 to the nearest one million.\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*g - 1215579 = -d, 4*d + g + 2431193 = 0. Round d to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -13. Let k be (-7)\/((-84)\/h) + (-79)\/3. Let b = -25 - k. Solve 2 + b = -n + 2*r, -3*r + 20 = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight ninths of a week in minutes?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-10 + 32 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 7. Let o be 1*(0 + 5)*4. Let f = 10 - o. What is the remainder when s(f) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:05 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5\/2)*r**(-1\/2))\/(r**(-3\/11)*r**(2\/3)))**(-3) assuming r is positive.\nAnswer: r**(112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -13. Let u = 70 - l. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -651.6 - -644.6. Is 0.88 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 11*w + 9. Let g be x(10). Let n(p) = 4*p**3 - p**2 - 1. Let i be n(1). Let k be i\/(2\/(-3))*44\/(-66). What is the nearest to k in -4, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (8 - 7) + -7 - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 + 127.8. Which is greater: -2\/611 or l?\nAnswer: -2\/611","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -29, -32, -19, 16, 79, 176, 313?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-2) + -1 + (3 - 2). Suppose -471 = -2*c - 3*o, 3*o + 632 + 265 = r*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + (-7 - (-5 - -13 - 9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 19*c**4\/12 - 384*c. Let b(x) = -51*x**2. Calculate b(m(w)).\nAnswer: -18411*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -893*d**7\/42 - 13*d**5\/60 - d**4\/12 + 11*d**3\/6 + 5188*d**2. What is the third derivative of n(a) wrt a?\nAnswer: -107160*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-27)\/10 - (-4336)\/(-10840). Solve 3*b - k*h + 32 = 0, -h - 15 = -b - 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02041240942 rounded to 4 dps?\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 + 41 = -8*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39321 times -0.11\nAnswer: -4325.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -445*v**3 - 31?\nAnswer: -1335*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 1 - 1)*(-41 - 28 + f + 50).\nAnswer: 5*f**2 - 95*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 21 + 56. Suppose 4*z = 1 + 3. Suppose g - z = x. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + j = 36, -3*v - 4*j - 90 = 2*v. Let h(t) = t**3 + 19*t**2 + 17*t + 3. What are the prime factors of h(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27276 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.450994015 - -0.451. What is w rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 584\/28)\/(2\/21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.7 and -8.284.\nAnswer: -80.3548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 4. Let o be s(3). Let r = 3\/860 - -24507\/860. Let h = r - 29. Which is greater: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*f + 128*f - 475*f + 3*f + 0*f - 2*f + (0 + 0 - 2)*(2*f + f - f) to the form q + o*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqqqsqqqsq. What is prob of sequence ssq?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, and 1 o when three letters picked without replacement from {t: 2, o: 2, z: 1, q: 1, l: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 - 1. Let w(m) = 8*m**3 - 80*m**2 - 1056*m - 958. Let a(q) = 20*v(q) + 2*w(q). Factor a(g).\nAnswer: -4*(g + 1)*(g + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.6117 - -0.4072. Round i to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5900023 - 0.59. Round d to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4542407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 plus -3433?\nAnswer: -3090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62435017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yana when four letters picked without replacement from {y: 13, n: 4, a: 3}.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*p**3 - 46*p**3 + 2280334 + 96*p**3 - 2280382.\nAnswer: p**3 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -317, 5, 0.2 in descending order.\nAnswer: 5, 4, 0.2, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 11*i**2 - 4*i + 10. Let b be g(10). Suppose -28*y - 7*y = -b. Solve 0 = 4*c + 2*p - 10, y*c = -4*p - p + 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15359, -15280, -15139, -14936?\nAnswer: -14671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696311347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 747107085\/2 or 0?\nAnswer: 747107085\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 5 - 3) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 24*x = 28*x - 2135588, 5*v = 3*x - 5338991. Round v to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**2 - 10*d**2 - 8*d**2 + 42*d**2 to q + b*d + x*d**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20789 or -20792?\nAnswer: -20789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2520 (base 8) to base 10\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n**2. Let a(q) be the first derivative of -2*q**3\/3 + 47. What is a(m(g))?\nAnswer: -392*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.06 (b) 0.06 (c) 0.2 (d) 0.6 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*p**2 + (3 - 3 - 2)*(-4*p**2 + 5*p**2 - 3*p**2) + 0*p**2 + 3*p**2 + 0*p**2 + (0*p**2 + p**2 - 2*p**2)*(-6 + 5 - 2).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690073.\nAnswer: 690073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6 and -0.193.\nAnswer: 0.6948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*n - 3*l - 8, -2*n + 8 = -5*l. Let a = -2 - -2. Suppose a = -m + d + 16, -5*d + 2*d - n = m. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112001 - 11112001112?\nAnswer: -11111112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1825741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26173513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82745815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10972082 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 8, -16, -50, -94, -148?\n\"Answer: -5*d**2 + d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 20944?\nAnswer: 62832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7*(-4 + 5) + 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66214418 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*p + 45*p + 48690 + 139908. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3 + 1, -2 = l - z. Solve 27*a = 5*b + 26*a - 15, 4*b - 18 = l*a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5080878 and -95\/6.\nAnswer: 5080878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/70)\/((-100)\/(-56)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -932*g. Let t(u) = 11*u**2. What is i(t(o))?\nAnswer: -10252*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.213 - 0.897. Let u = -2.09 - a. What is u rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 25 = -5. Let k(f) = 354*f + 64432. Let n be k(-182). What is the highest common divisor of n and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 14. Let m be x(8). Is (-93072)\/(-80) + m\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 4\/20485?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000263462166 to 6 dps.\nAnswer: -0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b + 1706 + 1838 - 3296 to the form s + g*b and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3 - 1524*n - 1514*n - 60 + 3063*n + 30*n**2 = 0. Calculate n.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-26)*(1 - -1). Let q be (8\/(-16))\/(4\/24). Put p, q, 3 in descending order.\nAnswer: 3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*7\/84*(-8)\/3. Solve 4*t - 5*t = -l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1333524 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/27)\/((-1)\/3). Let n be -4 - (9 + w) - 0. Let j = -19 + 21. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32234 and 5822.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4\/11 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*i + 10. Solve -i*y + y + 3*a + 13 = 0, -4*y + 15 = -a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1670 and 30945434?\nAnswer: 154727170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times 167401?\nAnswer: 25110.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47901577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 9:55 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 603 = 548. Let l = 4.91 + 0.09. Sort -0.2, l, m in descending order.\nAnswer: l, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2323 greater than -2322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 - (-5 - 3) - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Suppose 0 = -2*t - 2 + w. Suppose 5*j - 30 = t*j. What is the highest common divisor of j and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 58, 121, 200, 289, 382, 473, 556?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 120810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 3*v**3\/2 + 3*v**2 + 11*v. Let r = 802 + -783. What is the remainder when h(3) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 + -206057?\nAnswer: -206144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 88*x - 95. Suppose i = j - 20, 2*i - 6 - 18 = -2*j. Is h(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001021 (base 7) to base 10.\nAnswer: 118007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716883.\nAnswer: 3, 197, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -51. Let r = f + 13. Let y = 7 + r. What is the second biggest value in -4, y, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -9. Suppose 5 + 6 = c*r - b, -5*b + 14 = -2*r. What is the second derivative of -v**4 - 4*v - 5*v**4 - 2*v**3 + 2*v**r wrt v?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 55. Let z be g(20). Suppose 0*q = 2*q - 4. Solve q*f = z*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971 (base 10) in base 16?\nAnswer: 7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1081818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 3*p + 0*p. Suppose -5*r = -o - 11, -4*r + 3 = -5*o + 11. Let a(i) = i**2 + o*i**2 - i + i. Determine a(t(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 26) + 52 + -74 + -4?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470781?\nAnswer: 3, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/342)\/((-8)\/(-64))*(-35 + 548\/16).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 - 1127\/9. Let q be 17 + -4 - 555\/45. Let u(p) = p**3 - 6*p**2. Let m be u(6). Which is the nearest to m? (a) -0.2 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 - 76*s + 2461. Calculate o(-25).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-11 - -19) + -11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 429.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238 and 506.\nAnswer: 60214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.07\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644 - 874 = -506*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*y - 8, -4*c + 26 = -7*y + 2*y. Let x be 1\/y + (-45)\/(-10). Suppose -9 = -x*v + 83. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - z)*(2*z**2 + z**3 + 20 - 20).\nAnswer: -z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 4*q - 2. Let z be b(2). Let d(c) = -4*c. Let j be d(z). Suppose -2*t + 6 = -j. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145163 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2860*p**3 - 7*p**2 + 12*p + 35. List the prime factors of u(-2).\nAnswer: 3, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 4*o**5\/5 - 11*o**4\/10 - 32*o**3\/15 + 11*o**2\/5 + 12*o\/5 + 2689. Determine n, given that f(n) = 0.\nAnswer: -1, -2\/5, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*37*(-352)\/63492?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -837*t - 138. Does 30 divide a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 216. Let a = 4282 - 4191. Is a <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 17*n**2 + 20*n + 52. Let g be w(-16). What are the prime factors of 562*(10 - 0)*(-3)\/g?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/8 + 835*l**2\/8 - 314*l + 419\/2 = 0. What is l?\nAnswer: -838, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.01 - 0.01. Let v = 5\/41 - 107\/205. Which is the biggest value? (a) h (b) v (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9bd7a4 (base 15) in base 11?\nAnswer: 421a467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -23311, 87, 5 in increasing order.\nAnswer: -23311, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8080.38 nanoseconds?\nAnswer: 0.000000134673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 + -20.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, a: 5, j: 2}. Give prob of sequence av.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.43 - 0.07. Which is the closest to 2\/3? (a) z (b) -3\/7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -7 + (0 - (-1 - 5)) - 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*o + 5. Let x = o + 10. Suppose 4*y + 5 = x. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/6 - 1175*n\/6 + 47644 = 0.\nAnswer: 344, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**5\/10 + h**4\/8 - h**3\/3 - 5. What is y in j(y) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29160*b + 5717 with respect to b.\nAnswer: 29160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39682*l**6 - 36880*l**2 wrt l.\nAnswer: -4761840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1003332752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 3}. Give prob of sequence vl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75483*m - 83442 wrt m.\nAnswer: 75483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 993623287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26908, -53945, -80982, -108019, -135056, -162093?\nAnswer: -189130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012167992 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-44)\/(-55)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889, 1755, 2601, 3427?\nAnswer: 4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w + 27. Let k(f) = -8*f - 24. Let y(o) = 5*i(o) + 6*k(o). Calculate y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139339.686085 + 139341. Let y = 0.123996 - w. Let z = -1.19 - y. Round z to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = 0. Let g = 0.02271 - -0.04729. Which is the closest to i? (a) 0.5 (b) 2\/17 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460 divided by 92.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1326395831*b**4 - 913528599*b wrt b.\nAnswer: 15916749972*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2467*d**3 - 11529*d**2 - 7*d + 11529*d**2 + 7*d + (2*d**2 + 2*d**3 - 2*d**2)*(4 - 3 + 0) in the form s + r*d**3 + g*d**2 + h*d and give r.\nAnswer: -2465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/4, -2\/65, -2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -2. Let g(l) = l**2 - 4*l + 3. Let p be g(k). Suppose -13 = 2*w - 3*r, -2*w = 3*r + 200 - 217. Is p at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*a - 272*a + 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*v**3 + 81*v**3 + 412*v**3.\nAnswer: 701*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 7*b - 3. Let k be x(-6). Suppose -4*c = -k*c. Let l be -2 + (-2)\/(6\/(-15)). Solve c = -5*z - 0*n - 5*n, 5*z + 8 = l*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 59829 = 12*w + 59869, -4*w = -d + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*w + 232*w - 529 = 0. Suppose -891 = -10*r + w. What is the remainder when r is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -6847 divided by -298\nAnswer: 6847\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/6, 0, 550 in descending order.\nAnswer: 550, 1, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 30*m**2 + 3*m + 102. Give q(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:54 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/175 and -66\/175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0*h**(5\/4))\/(h**(-2\/13))**(11\/2))**(7\/8) assuming h is positive.\nAnswer: h**(1127\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 x when four letters picked without replacement from {o: 5, v: 2, x: 13}.\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 - 5*f**4 - 8*f**4 + (-2*f**3 - 5*f**2 + 5*f**2)*(-3*f - f + 5*f) - f**4 - 2*f**4 + 2*f**4.\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y + 2*u - 0, 0 = 3*y - 2*u - 4. Suppose 0*d + d - 13038 = 2*f, -3*d = -y*f - 39098. Round d to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 85 = 40. Let p = 35 + x. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1 (b) 0.5 (c) -1\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 43. Solve 7 = -y*o + 3*f - 13, 2*f = -4*o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + (-114)\/(-24) + (-17)\/(-4). Suppose 4 = c*j + 4*s, -j + 4*j - 4*s = 24. What is the common denominator of (-3)\/(72\/181) + j and 67\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 2*y - 3. Let j be n(4). Let k be 70\/385 + 2\/j. Solve -18 = -2*x + 3*r, 0*x + 2*x + 3*r + 6 = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 219879153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 19 + (-10 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 818, 803, 774, 725, 650?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 15) + (-2 - -2) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 9.01897 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - -86af1?\nAnswer: 86b0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.457 + 4.517. What is the smallest value in 5\/2, 0, o, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/35)\/(8\/14). Let j(v) be the first derivative of 2 + 0*v**3 + s*v**2 + 0*v - 1\/4*v**4. Factor j(y).\nAnswer: -y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 35. Give t(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.8 + -20.8. Let m = 1394.1 + -1394. Let p be (1 - 1)\/((-1)\/(-1)). What is the nearest to m in 2, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 6*y**2 + 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**2 + 0*w**3 - 6*w - w**3 + 252 - 256. Calculate n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43139 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 12:08 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -156484.385 - -0.0231?\nAnswer: -156484.3619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 divided by -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211755 divided by 4715?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**5 + k**5 + 3*k**5)*(-1 + 1 + 1)*(-1 - 2 + 1).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/4 + 2874*c - 17658405 = 0 for c.\nAnswer: -15930, 4434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 13*u\/4.\nAnswer: u*(u - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/3 + 1909838*y**2\/3 - 3819673*y\/3 + 636612 = 0. What is y?\nAnswer: 1, 1909836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 129*t**3 + 2*t**2 - 23*t - 4. Let p(h) = -258*h**3 - 4*h**2 + 49*h + 9. Calculate 9*m(l) + 4*p(l).\nAnswer: 129*l**3 + 2*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 15, -3*z - 36 = -f + 17. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/2*35\/(-19425)*15?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*x - 3*x - 5*x - x to i*x + h and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 - 7*x**2 - 3*x - 1. Let t(d) = d**3 - d**2 + d + 1. Let h(q) = a(q) - 2*t(q). Let k be h(6). Solve -3 - 3 = -k*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 950723 from -0.015.\nAnswer: -950723.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3, r: 15}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 576?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3329, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v + 9. Suppose 0 = v*w - 3*a - 3, -3*w + 2*w - 5*a = -19. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 45. Suppose y = 3*c + 4*k, -3*c = -3*k - 0*k - 9. What is the third derivative of 7*a**2 + 0*a**c - 8*a**6 - a**6 + a**6 wrt a?\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*y = 0, 3*y = -5*d + 47 - 29. Solve -d*f + 15 = -3*k, 3*f = -0*f + 4*k + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 5}. What is prob of picking 2 n?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 55*f**2 + 599*f + 1197. Give p(-2).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, -4, -7, 16 in increasing order.\nAnswer: -7, -4, -3, 16, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (4 - 6) - (290 - 278)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4051609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*w**4 - 652*w**3 - 2*w**2 + 8*w + 1639905 wrt w?\nAnswer: -28*w**3 - 1956*w**2 - 4*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 15*u**2 + 15*u + 19. Let n be r(-14). Suppose -t + n + 2 = 0. Suppose -5*f - 20 = -t*f. Calculate the greatest common divisor of f and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:09 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -96 + 394*j**2 - 395*j**2 - 19*j - 6*j. Let p be b(-20). Sort -3\/2, 0, p.\nAnswer: -3\/2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 196100, 198919, 201738, 204557, 207376?\n\"Answer: 2819*u + 193281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 4, g: 1, o: 2}. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3636 divided by -46.\nAnswer: 1818\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**7\/105 - 2*x**5\/15 - 4*x**2 + x. Let o(m) be the first derivative of l(m). Find the third derivative of o(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 5*s - 174 = -4*x, 142 = 3*x - 5*s. What is the highest common factor of 12 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t**2 - 16\/9*t**4 + 0 + 0*t - 4\/9*t**3.\nAnswer: -4*t**3*(4*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqdi when four letters picked without replacement from {i: 3, d: 4, q: 2, g: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20126 - 20128. Sort 3\/5, -0.1, -11, 1, w.\nAnswer: -11, w, -0.1, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.918103788 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16178\/5 + -3323. Let t be ((-22)\/(-4))\/(-21*10\/(-3360)). Let k = t + i. Find the common denominator of -44 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 2201?\nAnswer: 2186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*i + 211*i + 229*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 15 + 38)*(h - h + h**2)*(-19 - 26 + 3 + (-3 + 4 + 1)*(-1 - 6 + 5)) as f + g*h**2 + s*h and give g.\nAnswer: -2300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 35 + 7)*((-2*v - 2*v + 5*v)*(-3 + 2 + 0) - v - 3*v + v - v - 4 + 4 + (-v - 2*v + v)*(-3 + 1 + 4) + 0*v + v + 0*v + 0 - 2*v + 0).\nAnswer: -570*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*d + 2286 = -682*d - 48 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3 - 34*r + 34*r + 4 with respect to r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000258 to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b3457 (base 14) in base 8?\nAnswer: 7632325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2230 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17646 from -96885.\nAnswer: -79239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 425776 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f**2*o*v*w + 2*f**2 - 3*o*v*w + 33*o*v + 12*o - 2*w wrt v?\nAnswer: -3*f**2*o*w - 3*o*w + 33*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*u**5 - 149*u.\nAnswer: -940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r + 1153568 = 47*r + 107*r. List the prime factors of r.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 351.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 1424670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (28 - -1) + -38?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*-3*5\/6. Which is the nearest to -4.9? (a) 1 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -6*y - 15. Suppose 7*n + 9 = y*n - 4*v, 9 = -3*n + v. Let x be 62 + -2 + n\/1. Calculate the greatest common divisor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 1\/112*c**8 + 0 + 5\/8*c**4 - 1\/2*c**3 - 1\/14*c**7 + 0*c + 1\/4*c**6 + 4*c**2 - 1\/2*c**5. Find v, given that g(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + u = -2 - 0, 4*u = 2*c + 4. Suppose 3*w + 117 = c*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2671 + 2770 = -9*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 36. Sort 5, 3, -1\/3, k in decreasing order.\nAnswer: 5, 3, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -314*g**2. Let m(r) = -r. What is m(n(o))?\nAnswer: 314*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 77?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700 and 12410090.\nAnswer: 124100900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -304 + 304.04. Which is the closest to 1? (a) -12 (b) q (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/17))\/c**(2\/7))**(-26) assuming c is positive.\nAnswer: c**(-2574\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 + (-3620)\/(-725). Let c = v + -81\/29. Let q = -483\/19 - -5164\/171. What is the common denominator of q and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.246 - -3959.\nAnswer: 3957.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - m + 1. Let i be y(2). Suppose -9 = 2*n + 3*j, -i*n + 3*j = -4 - 5. Suppose -d + 4 = b, -2 = 4*d - 5*b - n. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5aa7 + -347?\nAnswer: -6232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65878, 65873, 65866, 65857, 65846?\nAnswer: 65833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1012 and 150006.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 6*r - 7. Let c be k(5). Let b be (-75)\/((-1 + c)\/3). Calculate the greatest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*r - 17*r - 2*r**3 + r**2 + 4*r**3 - 3 - 3*r**3 + r**3 + r**3 + (4 - 4 - 2)*(-r**3 - 3*r**3 + 2*r**3).\nAnswer: 5*r**3 + r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 2*v**2 - 5*v - 1. Let b be w(-4). Let h = -10 - b. Let u = 11 - 7. Solve -7 = -h*x - u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74794*v + 64 - 74794*v - 74789*v + 224379*v.\nAnswer: 2*v + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 7 - 39) + 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13678?\nAnswer: 2, 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*l - 1708*l**2 + 800*l**3 - 523*l + 1708*l**2.\nAnswer: 800*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 13*k + 46. Let x be w(5). Suppose x*o = -4*h - 100 + 2864, -5*o + 3445 = 5*h. What are the prime factors of h?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, 587, -14, 3, -1 in ascending order.\nAnswer: -110, -14, -1, 3, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.1 and 51974977.09751.\nAnswer: 51974979.19751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 8*h = -4400. Does 10 divide ((-20)\/(-3))\/(2 - h\/(-222))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -82132.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 + -103. Calculate the highest common factor of h and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11960.5 rounded to the nearest 100?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -921424 by 6.\nAnswer: -460712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 8*i - 10. Let b be l(5). Solve b = h - 3*r + 5, -3*h = r + 4 + 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*r**4 - 162767*r**3 + 181263987?\nAnswer: 16*r**3 - 488301*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5904395?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11514416?\nAnswer: 2, 677, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7796 - 16291 = 5*z - 36*z. Calculate the remainder when z is divided by 776.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133696538 and 30974.\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.934698 rounded to 2 dps?\nAnswer: 130.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*a + 131*x - 129*x, -4*a = 4*x - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -797*z**2 + 1 - 3293*z - 1 + 3289*z + 954*z**2.\nAnswer: 157*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1063*q**2 - 4*q - 52*q**3 + 4*q + 1063*q**2 + 17*q**3.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 775\/4 + -5315\/28. Calculate the common denominator of v and -39\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2 - (-9)\/(-9). Let j be (-2 - i)*(-2)\/3. Factor 2*f**2 + 2*f**5 + 0*f**5 - j*f**3 + 0*f**5 - 2*f**4.\nAnswer: 2*f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23402041420 + 3?\nAnswer: -23402041412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 66816.4 rounded to the nearest one hundred?\nAnswer: 66800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**3 + 3*k**2 + 9*k - 3. Let u(q) = -4*q**3 + q**2 + 4*q - 1. Let p(j) = -3*r(j) + 7*u(j). Let s be p(-3). What is s rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1516196*d**4 - d**2 + 2800502?\nAnswer: -36388704*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 145342387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4412709530 to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20 + 20\/80*84. Solve 94 = 27*t - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**4 + v**3 + v**2 + 1. Let b(f) = 12*f**4 + 5*f**3 + 5*f**2 + 16. Let x(s) = -b(s) + 5*j(s). Differentiate x(k) with respect to k.\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*y**4 + 20*y**2 - 20*y**2 + 62*y wrt y.\nAnswer: -324*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*m**2 - 11*m**3 - 91*m**2 + 33*m**3 wrt m?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 4. Let i be m(0). Let z be (-4 + i - 3)*-1. Solve -15 + 0 = -z*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 8 = 0, -4*z - 4*y = 2 + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 47 = m, -m - 31 = 56*d - 58*d. What is the smallest common multiple of d and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 5631754217.53.\nAnswer: 5631754213.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9721154 is divided by 294577.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 11*b**2)*(-1 + 2 + 0)*(-2*b + 6*b - 2*b).\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 14*i - 4. Let p be b(9). Suppose -187 = -102*o + 99*o + 4*z, -z = 1. Calculate the greatest common divisor of o and p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2752 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1440.64 times -325.6\nAnswer: -469072.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -132 at most as big as -9916\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/55 (b) 3 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34886693?\nAnswer: 61, 443, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21039, -21069, -21099, -21129, -21159?\nAnswer: -21189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.2. Which is the third smallest value? (a) z (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -99, -237, -433?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -2, 24, 3\/2, 3.7, -1\/3?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -1, -5, -4 in increasing order.\nAnswer: -5, -4, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0195916202 rounded to 6 dps?\nAnswer: -0.019592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 336072*z + 12*z**3 + 1 + 672160*z - 336088*z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**30\/s*s*s**(-1\/4)*s)\/(s**(2\/9)\/s*s**(-41)*s))**(-3) assuming s is positive.\nAnswer: s**(-2575\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 52 = -7*y. Solve p + 1 = y*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13745917 + 2?\nAnswer: -13745915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 - z**2 + z - 6. Let l(r) = 4*r**3 + r**2 - r + 7. Let t(h) = 5*d(h) + 4*l(h). Let n be t(2). Factor -2*q - n*q**2 + 5*q**2 + 3*q.\nAnswer: q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -65*f**3 - 3*f - 2. Suppose h - 2 = s, -5*h + 2*s - 1 = -2. Calculate the least common multiple of 14 and t(h).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/376 or -1?\nAnswer: -9\/376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 135, 273, 499, 843, 1335?\n\"Answer: 5*j**3 - j**2 + 48*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 839 + -3357\/4. What is the second smallest value in -4, j, 0.01?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -550335166?\nAnswer: 550335203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*s**3 - s + 1 + 0 + 5*s**2 - 4 to w*s**3 + l*s**2 + j*s + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3198468 by -2436.\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405799533?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 183750*t + 735032.\nAnswer: -2*(t - 91879)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74621 + 74619. Let a(d) = 2*d**2 + 2*d - 2. Let k(w) = w**3 - w**2 - w + 5. Let i be k(0). Let g(l) = 3*l**2 + 5*l - 5. What is i*a(t) + y*g(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 157, 686, 1571, 2812?\n\"Answer: 178*x**2 - 5*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6 = -2*m, -3*m = -m + 2*j - 6. Let i be (1 - m) + -1 - -1. Sort -5, -1, i in ascending order.\nAnswer: -5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68218.59 litres to millilitres.\nAnswer: 68218590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24192300 and 1540.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 11 - 6*k + (-k + 3*k - 4*k)*(4 + 0 - 5) - k + 0 + 0 + 5*k + k - 2*k + (k - 3*k - k)*(-1 - 2 + 5) to the form q*k + n and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**(-10)*h\/(h\/(h\/h**(2\/15)))*h**(-1\/5)*h)\/(((h\/h**(4\/7))\/h*h*h)\/h**(-2\/15)*(h\/((h**(-2\/7)\/h)\/h)*h)\/h*h*h**(-2\/31)) assuming h is positive.\nAnswer: h**(-4099\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 26*n**2 - 10*n + 50. Give x(12).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25567 - -26188. Calculate the remainder when c is divided by 107.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 818*p - 821*p + 36. Suppose h - 4*z = 24, -2*z - 2 = -h + p. Solve 0 = 3*g - 4*q - 15 - 5, 0 = -h*q - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 8*u + 17*u - 5*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2290 - -1418.8. Let h = r - -872. Which is smaller: h or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 980.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -9360\/233?\nAnswer: -9360\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 318.63?\nAnswer: -63.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 27. Let r be (-16965)\/(-27) - u\/3. Suppose -2*x + 6*x = r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + n - 2 + (-5*n + 4*n + 0*n)*(0 - 2 + 1) + 0*n - 3*n + 4*n - n + n + 2*n)*(1 + 1 - 3)*(-2 - 2 + 3).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 79915971?\nAnswer: -79915974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 5*b - 1. Let m(q) = 4*q**2 + 9*q + 2. Calculate 3*m(d) + 5*o(d).\nAnswer: 2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3284 + 218 + 5)*(-2 + 3 + 1)*(4*q + q - 3*q + (0 - 2 + 1)*(-1 + q + 1) - 3*q + 5*q - 3*q + 2*q - 3*q + 0*q + 3*q - 4*q + 0*q).\nAnswer: 12244*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -5, 1, 5 in descending order.\nAnswer: 5, 1, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8 - 7 = 0. Suppose f = -2*l + 7. Suppose -7*b + l*b + 75 = 0. Calculate the remainder when 43 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (515 + -533 - (2 + -1 + -4)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28134157 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let s be n\/8 + 3\/(-6). Which is the third smallest value? (a) s (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 - 27*t**2 - 2*t + 252. Let b(d) = -7*d**3 - 54*d**2 - 5*d + 503. Let w(z) = -2*b(z) + 5*c(z). Differentiate w(l) with respect to l.\nAnswer: -18*l**2 - 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 459698*r - 459698*r + 1 - 6*r**3 + 19*r**2 - 120*r**2 as a*r**2 + v*r**3 + n + w*r and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 12) in base 2?\nAnswer: -10110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 g when four letters picked without replacement from gdtttgdg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -175 (base 8) to base 2\nAnswer: -1111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Suppose 0 = -z + 4*b + 31 + 15, -3*b = 3*z - 108. Suppose z = v*x - 17. Calculate the highest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 - -2. Let t = 0.2 - j. Let p = -0.069 - 0.031. Which is the closest to t? (a) p (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 12*p**3 - 2232*p**2 + 2*p - 363. Give q(186).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 times 0.8?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 f, and 1 g when four letters picked without replacement from {w: 3, h: 1, g: 4, f: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j + j - 1 + 0*j - 7*j to y + g*j and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiejeiebcc. What is prob of picking 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 128 - -40?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10) + (-8)\/(-40). Let m be -50*((-6)\/30)\/((-2)\/24). What are the prime factors of 30 + -29 - (m - x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhn when three letters picked without replacement from {x: 3, n: 2, p: 1, h: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**4)\/n))**24\/(n**12*n*n\/n**(-17)*n) assuming n is positive.\nAnswer: n**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 3*a - 2. Let u be k(-4). Suppose -4*w = -2*w + l - 7, -4*l + u = -2*w. Sort 2, w, 5 in increasing order.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(3 - (-19937966)\/(-6)). Let t = 30196022699\/3029 - u. Let h = t + 1\/233. Which is the third smallest value? (a) h (b) 2 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 65, 332, 947, 2048, 3773?\n\"Answer: 23*c**3 + 36*c**2 - 2*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 3, -37, -93?\n\"Answer: -8*k**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 + 35*x - 6. Let a(k) = -k**2 - 7*k + 1. Let s(q) = 11*a(q) + 2*m(q). Calculate s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14148*m - 5 + 251436*m - 38792*m.\nAnswer: 198496*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.4 - 21.254046. Let k = -0.74595 + w. Let m = k + -0.4. Round m to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70897776.\nAnswer: 2, 3, 23, 149, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 40*f + 15*f + 7*f**2 + 23*f + 8*f**2 - 2 to the form v + d*f + i*f**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + 2*h**2 + 45 + (-9*h + 53*h + 28*h)*(3*h - 4*h - h) to k*h + l + z*h**2 and give z.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-18 + 1752\/96) - 190\/(-36).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4744 + 4743. Which is the nearest to p? (a) -2 (b) -24\/7 (c) 0.3 (d) 11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Let x be (3 - 2) + d + -2. Suppose -94 = -2*k + 4*z, z = x*k + 2*k - 174. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(sqrt(16)\/sqrt(2)))\/sqrt(7))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 581293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2 + 175772*z + 4571424 = 0. What is z?\nAnswer: -26, 87912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -73512 - 21330505.32?\nAnswer: -21404017.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(12\/3)*5\/(-10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 2516.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lull when four letters picked without replacement from {u: 4, l: 14}?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y - 206 = -93*y + 149 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bborbbbbbbab. What is prob of picking 1 o, 1 b, and 1 a?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006283119 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2467 + 3782. List the prime factors of d.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 392 + -104. Suppose -7*c = c - g. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4\/4 + 56*c**3 - 1089*c**2\/4 - 657*c\/2 = 0.\nAnswer: -1, 0, 6, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21409*c + 88 = -21420*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -58 * 5391\nAnswer: -312678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 158335.3 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 479 = 4*v, v + 253 + 40 = 3*y. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 2, 31332, 5, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 1. Let n(f) be the first derivative of -135*f**2\/2 + 41*f - 114. Let g(z) = 4*d(z) + n(z). Differentiate g(j) with respect to j.\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by (-12)\/(-12)*(-1 + 21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14 - 1 + 0*x**2 + 5*x**2 - 4*x**3. Suppose -20*l + 132 - 283 - 29 = 0. Let a(d) = -d**3 + d**2 + 3. What is l*a(v) + 2*b(v)?\nAnswer: v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117 or 6258\/53?\nAnswer: 6258\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {n: 1, e: 2, y: 1, w: 1, v: 2, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/12*((-82)\/(-205))\/((-4)\/7927035) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5499749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120242 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = 2*u, 6*u - 3*t + 6 = 3*u. Solve u*d = 65 - 75 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 6*c - 10. Calculate g(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h - 2. Let i(g) = g. Let z(c) = 22*i(c) + 2*r(c). Let y be z(6). Solve p - y = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/14 - 2\/(-7). Let g = -15 - -7. Let y = -4 - g. Which is the third smallest value? (a) t (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89327 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a + 17*a - 9*a)*(149 - 7 - 10) in the form i + u*a and give u.\nAnswer: 1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22475.\nAnswer: 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 53*b**2 - 52*b - 3. Give c(-52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1477*h - 1259*h + 3007*h)*(4 + 0 - 2)*(-3*h - 2*h**2 + 3*h)*(-7*h + 2*h + 0*h) to u*h + m*h**2 + s*h**3 + x + n*h**4 and give n.\nAnswer: 64500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 5, 11, 19, 29, 41?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from umaajm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78\/11 - 657\/88. Let z = -1783 + 1781. Which is the second biggest value? (a) 0 (b) z (c) k (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/96)\/((-1965)\/50304).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3385, 6780, 10189, 13618, 17073, 20560, 24085, 27654?\n\"Answer: g**3 + g**2 + 3385*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnnc when four letters picked without replacement from jllnnjlccanlj.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmdmmmmdmdmmm. Give prob of sequence mdm.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -21*p**5 - 120*p**4 - 216*p**3 - 138*p**2 - 3*p + 18 = 0.\nAnswer: -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 5:25 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**8\/28 + 51*s**5\/10 - 107*s**4\/4 + 502*s. Find the third derivative of t(q) wrt q.\nAnswer: 240*q**3 + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 + 3*r - 3*r + (0*r + 2*r - r)*(-2 + 2 + 2*r) + 2*r**2 - 3*r**2 + 2*r**2 - 2*r**2 + 2*r - 5*r - 3*r.\nAnswer: 5*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49847 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**3 - 4*c - 2. Let o(x) = 6*x**3 - 4*x - 3. Let p(y) = 3*j(y) - 2*o(y). Find the second derivative of p(t) wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6)*39 - 0. Let m = -6 - -16. Suppose 5*t - m = -5*z, -3*z + q = -4*t - 28. Solve 3 = 4*f + w - z, -12 = -2*f - 4*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*q - 3*f, 0 = 5*q - 9*q - f + 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*p + 5*d - 45, 15 = -2*p - 5*d. Let v be (5\/p)\/(4\/(-16)). Solve 3*q - 3*k = 0, 0*q - v*q = 4*k - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, f: 3, x: 2}. Give prob of sequence xxf.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-66)\/4)\/((-2)\/4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0035 - -5.0035. Which is the closest to -3\/2? (a) 2\/5 (b) r (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:46 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + g**3 - 3*g**3 + (2*g - g**2 - 2*g)*(4 - 4 - 2*g) + 623*g**2 - 623*g**2 + 54*g**3 + (-1 + 1 - g)*(2*g**2 - 4*g**2 + 3*g**2).\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 92*o - 89*o - 5*p, 3*o - 10 = 4*p for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 3 + 30*o**2 - 2*o**2 + 7*o**2.\nAnswer: 32*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**5\/20 + 3*j**4\/2 - 19*j**3\/6 + 3*j**2\/2 - 5*j. Let u be s(-19). Solve 4*l = 5*r + 13, r - 9 = -2*l - u*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-8)*82*-1. Determine q so that -3*q**2 - x + 30*q + 82 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 16, -6, 2972, -1 in decreasing order.\nAnswer: 2972, 16, -0.06, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -88259787 divided by -2937?\nAnswer: 30051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 43. Suppose 5*f = -c + 40, 0 = -f + 2*c - 5*c - 6. Calculate the remainder when l is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438*k**3 - 882*k**3 + 440*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4345 and 67\/90?\nAnswer: 78210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (17 - 19 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**8\/84 + 8*l**7\/105 - l**6\/6 + 2*l**5\/15 + 98*l**2. Factor n(f).\nAnswer: -4*f**2*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 1. Let u(w) = 2*w**2 + 2*w + 6. Calculate -4*q(p) + u(p).\nAnswer: 2*p**2 - 2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 12:13 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 - 77705950*t\/3 + 3019107332701250\/3.\nAnswer: (t - 77705950)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6796.00003793 - 6796. What is z rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -17676911652?\nAnswer: -17676911652.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*n**2 - 4*n**3 + 84*n**2 - 6 - 17.\nAnswer: -4*n**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 616\/198?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 2958089c?\nAnswer: -295808a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwwuwwzeuu. Give prob of sequence we.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 55, 128, 231, 364?\n\"Answer: 15*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4120 and 32600.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.017 * 9167\nAnswer: -155.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 519683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g + 2. Let i(z) be the first derivative of -z**2\/2 - 5*z - 3842. Suppose -5 = n - 0*n. Let l(k) = 1. Give g*i(u) + n*l(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61\/21 - -10\/7. Find the common denominator of q and (42\/(-16) - 2) + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735 = 3*r - 8*r. Suppose -j + 53 = 5*c - 130, j - r = -4*c. Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*-1192\nAnswer: -29800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.55 + -52.55. Let w = n + 15. Do w and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1566103 (base 8) to base 14.\nAnswer: -bb4b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/37948 and -7\/43676?\nAnswer: 2314828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -10. Suppose 0 = 2*u + 4*z + y, 0*z - 16 = -3*u - z. Solve -1 = -3*c - u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-42))\/((-12)\/(-70))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000939411 to five dps.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 194791.22 to the nearest 100.\nAnswer: 194800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -2 + -6 + 6 + -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14427 - 17237 = 281*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 13*t**2\/2 + 8*t + 96.\nAnswer: (t - 8)**2*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 735407.2 litres?\nAnswer: 735407200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 71*f - 11. Let n be o(35). Calculate the common denominator of 1\/12 and 16283\/(-61617) - 4\/n.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -222*l - 768. Give a(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 31. Let s be u(10). Let i be 1\/(-4) + 133\/4. Let d be i\/(-2 - s\/6). Calculate the greatest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = 0, 4*z = -w + 3 + 26. Suppose z = -0*g + 4*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - ((3 - (18 + -31 - -14)) + -24)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -18*z**2 + 9*z + 18. Let p(j) = -27*j**2 + 16*j + 27. Let q(f) = 5*p(f) - 8*y(f). Is 3 a factor of q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - c = 35. Suppose -5*p + 807 = 3*o - 2453, -c*p + 4*o + 3260 = 0. List the prime factors of p.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, -5, 6, -1.1471?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -2*z + 5\/2*z**2 + 0 + 1\/12*z**4 + 2\/3*z**3. Is h(-8) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 2*s - 493, 2*p + 5*s - 335 = 0. Calculate the remainder when p\/20 + (-1)\/4 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7683, 7669, 7651, 7629, 7603, 7573?\n\"Answer: -2*y**2 - 8*y + 7693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 16. What is n rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**2 + 6*o**2 - 8*o**2)*(-o**3 + 0*o**3 + 0*o**3) + (-o + o - 2*o**2)*(0*o**3 + o**3 - 3*o**3).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48216080 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**3\/3 - 1. Let m(u) = u - 5. Let h(p) = p - 3. Let y(t) = 5*h(t) - 3*m(t). Calculate y(j(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*b = -k - 24454, -3*k = -4*b + 18348. Let m be (k\/(-24))\/(0 - (-6)\/99). Is ((-1)\/2 - 2)\/((-11)\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.5, -354, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16341240 is divided by 263.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053128 to four dps.\nAnswer: 0.0531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -130*h**2 - h - 6. Let i(t) = 65*t**2 + t + 4. Let u(z) = -5*i(z) - 3*j(z). Let q be 3\/((-3)\/(-2)) + -3. Is u(q) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008834 to six dps.\nAnswer: 0.000883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163449*j = -2*r + 163453*j + 52, -2*r + 38*j + 528 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446804773.\nAnswer: 446804773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -543 - -1913. Suppose -8*p = -13*p + q. Suppose -h + 0*h + 147 = 5*y, -5*y = 2*h - p. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 5*a + 27. Solve 2*b - 5*g = -12, 4*b - g + 3 = a*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 0*l**2 + 1 - 2*l**2 + l**3 + 79*l - 81*l. Let p be u(3). Let k(h) = -h**3 + 4*h**2 + 2*h - 1. Calculate k(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aspsggsqaa. What is prob of picking 2 a, 1 g, and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, y: 1, u: 1, m: 1}. Give prob of sequence um.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (-5 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8. Let w(s) = s**2 + 2*s - 180. Let z be w(n). What are the prime factors of ((-2)\/(-2))\/((-4)\/z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14725322167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:29 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 + 58*z**2 + 862*z - 10069. Determine i(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 - 3*h + 3. Let s be d(3). Let c be s\/(-2)*(-1)\/(-3). Suppose 4*w - 37 = c. What is the smallest common multiple of w and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + z**2 - z + 1. Let i be w(1). Let g = 5 - 4. Suppose -s + 1 = 2*m, 2*m + g = 2*s - 7. Put i, 5, s in ascending order.\nAnswer: i, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*s - 249*s - 2697 - 6438 = 0 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38668*l - 77816*l = -38546*l + 11438 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 9, -1 in descending order.\nAnswer: 9, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**2 - 860620*c - 860624 = 0.\nAnswer: -1, 215156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 155, 373, 669, 1037?\nAnswer: 1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.200903 rounded to 3 decimal places?\nAnswer: 2.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*g = -57*g - 11. Solve -6 = 5*r - g, -2*r = v - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160550.3333 less than -39?\nAnswer: -160589.3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 4) + -15 - (-5 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 760?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 10:59 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1430 + 1429.999201. Round v to 5 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157219 = -1980*n - 1298*n - 8048*n + 69301 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 385716*m**2 + 18597104082*m.\nAnswer: 2*m*(m + 96429)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.989 times -3?\nAnswer: 2.967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(35)\/sqrt(7) - (sqrt(5) - ((-1 + sqrt(5) - sqrt(5)) + 4))**2.\nAnswer: -12 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000010010 + -101000011010?\nAnswer: 1111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18)\/(((-7990)\/(-612))\/(-235)) + -12 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.63 + -10.43. Put s, 202, 3\/4 in descending order.\nAnswer: 202, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**5 + 80*f**4 - 205*f**3 + 115*f**2 + 10*f. Let r(u) = -u**5 - u**4 - u**3 + 2*u**2 + 2*u. Let d(q) = 5*r(q) - y(q). Factor d(c).\nAnswer: -5*c**2*(c - 1)**2*(2*c + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1370 divided by 274\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 18. Calculate the smallest common multiple of 2\/(6\/(-9) + (-247)\/(-312)) and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 168*k + 1764.\nAnswer: 4*(k - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 3. Let s be q(0). Suppose x - 3*y - 27 = -s*x, 3*x - 22 = 4*y. Solve -20 = -z + x*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7542 divided by -887?\nAnswer: -7542\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkqh when four letters picked without replacement from khfkhdhdqzfqfh.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - j**2 - j + 42. Let n(c) = c + 4. Let u be (-1 + 7)*(-4)\/6. Let g be n(u). List the prime factors of b(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250149 is divided by 782.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 6*d + 5. Let y be j(6). Let k(a) = a**2 - a + 7. Let t(s) = -2*s**2 + 3*s - 13. Let u(h) = y*k(h) + 3*t(h). Factor u(p).\nAnswer: -(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12*l + 208. Let j be b(-19). What is the tens digit of (336\/j)\/(((-12)\/205)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1085511 and 35821863.\nAnswer: 35821863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 37 * -0.01\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.274.\nAnswer: -1.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2593 + -2576. Solve 0 = -p*k - 60 - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - 3 - 1) + 8 + -2 - -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-729840)\/480*38\/(-1)?\nAnswer: 19, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.005 or -42.53?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-288)\/30)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1468*i - 1468*i - 7*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18172426?\nAnswer: 2, 9086213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 4. Suppose -3*u + 1 = -2*q, -2*q + 3 = 3*u + 22. Let x be m(u). Calculate the remainder when 40 is divided by (-132)\/(-9) - x\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8337 divided by -21\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**2 + 2951236*k - 17707992.\nAnswer: 4*(k - 6)*(4*k + 737833)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) -213 (d) 1\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -6*a + 56. Suppose 4*y + 2*d = -d + a, 0 = 4*y - d - 6. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -331 + 325. Let f(g) = -g**2 - 7*g - 15. Calculate f(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313186 less than 0.335?\nAnswer: -2313185.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16436 (b) -4 (c) -1 (d) 4 (e) 20 (f) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23061 rounded to the nearest one hundred?\nAnswer: -23100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 5:50 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -101 - -8 - (28 + -4 - 18).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3774 - 6?\nAnswer: 3766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4276 = -5*l - 5*g - 6704, 0 = 3*g - 15. Let n = 5860 + l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2. Let o(b) = 15*b + 71. Give s(o(g)).\nAnswer: -225*g**2 - 2130*g - 5041","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*v - 7836 - 34626 = 161*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165585.\nAnswer: 3, 5, 7, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 171 + -49. Let o = c + -66. Suppose 5*m = m + o. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/290 and 73\/232?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(396))\/sqrt(4) + 5 + ((sqrt(132) - sqrt(132)*-2)\/sqrt(6))\/(sqrt(2) + sqrt(22)\/(sqrt(33)\/sqrt(3))).\nAnswer: 5 + 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k + 282. Let d be c(-32). Solve -d*u = -172 + 146 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/24 and -83\/2112?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Let n(i) = 3 + 0 - 3 + 7*i**2. What is g(n(c))?\nAnswer: -98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6. Let w(r) = 24 - 4*r + 5*r - 15. What is the units digit of w(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7590 and 15609.\nAnswer: 3590070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -2 (c) -2\/3 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (2 - 3\/3). Let t = u - 1. Let l be t\/(4*2\/4). Sort l, -3, -2\/3.\nAnswer: -3, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 = 6, 2*o + 4*f - 34 = 0. Solve 2*g - o = -4*a + 7*g, -3*g = 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 107, -10, -3\/580?\nAnswer: -3\/580","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 2*y + 4. Let i be x(6). Suppose i = -s - s. Does 7 divide 20\/s + 254\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/5 + -5 - 6\/(-10). Let l(p) = 75*p**3 - p**2 + 2. Is 38 a factor of l(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*c = 223*c - 288 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46 + -44 - ((-24)\/(-9) - 2). Factor t*w + 2\/9*w**2 + 2.\nAnswer: 2*(w + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*z + 4*t, -26 = -0*z - 3*z + 4*t. Suppose z*r + 156 = 6*r. What is the greatest common factor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/8)\/((-53)\/4028). Let u(m) = m**3 - 20*m**2 + 18*m + 13. What is u(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) - (948\/132 - 3). Sort -1, 0, p, 3 in increasing order.\nAnswer: p, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -546573*m**3 + 11475886*m?\nAnswer: -3279438*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1204315 - 40?\nAnswer: -1204355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 6*o - 8. Let i(k) = k. Let r be i(6). Is t(r) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5823 - 4563 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 8*x + 7. Give l(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -799.5 to the nearest ten.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 3*c**2 - c + 7. Let n be p(-3). Is -120\/7 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/368*4)\/(882\/112).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39*((-12)\/(-9) + -2). Let l be ((-2)\/(-5))\/(m\/(-10)). Let r = 6.9 + -7. What is the nearest to r in -3, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44981778 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12110\/10380)\/(-10*28\/(-315))?\nAnswer: 21\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133120 (base 4) in base 6?\nAnswer: -115120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4473115696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roorooooamtogogott. Give prob of sequence omg.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-2\/3))**(-2\/19)*s**0*((s*s*(s\/s**(-8))\/s)\/s)\/s)**(-16))**(-1\/18) assuming s is positive.\nAnswer: s**(3568\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10157329 by 63089.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b - 3. Is 15 a factor of 1\/(b\/(104 - -4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-35)*(-4536)\/486.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 82\/6)*-3. Suppose 3*p = -76 - y. Let b = p - -60. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzspss. Give prob of picking 1 s and 1 p.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 - -22.4. Let s = p - 35. Let w = 8 + s. Which is the third smallest value? (a) 2 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23154231 (base 6) to base 3.\nAnswer: 1100022212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4179283, 4179289, 4179295, 4179301, 4179307, 4179313?\n\"Answer: 6*f + 4179277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/6872)\/(15\/(-8)). Let b = -171794\/12885 + m. What is the common denominator of b and -83\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = d + 15 - 61, 3*d - q = 166. Solve -d = -24*u + 78*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2768 + -1158. Does 35 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - 3*k**3 + 20*k**5 + (323*k**2 - 150*k**2 + 9*k**3 - 158*k**2)*(0*k**2 + 0*k**2 + 2*k**2).\nAnswer: 38*k**5 + 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from amjajdeamebmj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.664 - 1.564. What is the second biggest value in o, 0.06, 2, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21454 - -37637. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 247 = 443. What is the remainder when (-6)\/4 + 1 - w\/4 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179796822 divided by 29966137?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 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: What is -5576 times 0.2?\nAnswer: -1115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55302, 110605, 165920, 221259, 276634?\nAnswer: 332057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(-594131 - 30*q + 594141 - 17*q).\nAnswer: -141*q + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 15*j**2 - 18*j - 37. Determine g(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 237 (b) 4\/3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40408615 divided by 5?\nAnswer: 8081723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14185 + -415.14185. Put -2\/11, 0.5, u in descending order.\nAnswer: 0.5, -2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:05 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -77. Suppose 4*m - q = 0, -6*m + 2*m = -5*k + 8508. Suppose k = -c + 13*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 881, 1004, 1021, 926, 713, 376, -91?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 3*p**2 - 11*p + 10. Calculate v(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*3)*1)\/(sqrt(7) + sqrt(175)*1).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-14)\/n*n**(-13)*(n**(1\/4))**18 assuming n is positive.\nAnswer: n**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s - 5. Suppose -i = -0*i - s. Let u(w) = w**3 - 14*w**2 - 15*w - 5. Let k be u(15). Put k, i, 2 in descending order.\nAnswer: 2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.31935 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -269, -602, -1069, -1670?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**3*s**2 - 3*p**3 + 13*p - 25*s**2 - 10*s + 3 wrt p.\nAnswer: 9*p**2*s**2 - 9*p**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s = -20. Suppose -s = 4*j - 2, -5*t - 4*j = -42. Suppose 4*i + 2 = 114. Calculate the remainder when i is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 75\/(-10) + 7. Find o such that 2*o + z*o**2 + 2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001 (base 6) to base 2.\nAnswer: -11011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 times 13?\nAnswer: 2665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4 - b - 6 + 13. Let p be i(11). Suppose p = -s + 15 + 9. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3571, 4452, 5343, 6244?\n\"Answer: 5*a**2 + 866*a + 2700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 91 = 2*t, -4*t - 7*g + 3*g + 164 = 0. Let d be ((-24)\/(-36))\/((-3)\/198*2). What is the remainder when 3 + 138 + d\/2 is divided by t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006218066 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -376 - 163614?\nAnswer: -164101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 7. Let j be 2*(-2)\/4*5. Let f be a(j). Let 0 + 0 + 16*s**f - 4 - 10*s**3 - 2*s = 0. What is s?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - sqrt(100)*6 - sqrt(250)\/(2*sqrt(10)))\/(-5*sqrt(125)*2).\nAnswer: 23*sqrt(5)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -4 (c) 5\/251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80372943 is divided by 2147?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61123, -110745, -160367, -209989, -259611, -309233?\nAnswer: -358855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = -16. Let s = x + -6. Let f(k) = -6*k - 5. Let v(u) = 5*u + 4. Calculate s*f(o) + 4*v(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0989 and -109.\nAnswer: -10.7801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*s - 39*s - 42*s - 42*s + 156*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.114112nm to meters.\nAnswer: 0.000000006114112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**3 + 6140*a**2 + 2303265*a + 273519630 = 0.\nAnswer: -646, -291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*d + q - 815, 0 = -d + q + 269. Let o = 301 - d. Solve 6*y - 1 = -o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -62, -68, -52, -8, 70?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13485 - 22825. What is p rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 47\/7 + 2\/7 - 4. Solve 0*u + 3*u = o*d - 24, -3*u - 4*d = -11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o**(-1\/4)*((o*((o*o\/((o**(1\/3)\/o)\/o)*o*o)\/o*o)\/o*o)\/o)**(26\/3))\/(o\/(o**(-1\/2)\/o)*o\/(o\/o**(2\/21))*o)**(-31) assuming o is positive.\nAnswer: o**(38635\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11008 - -11012. Solve 0 = 176*i - 174*i - 5*k + 11, -b*i - 3*k = 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133121 (base 7) to base 2.\nAnswer: 110001000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 24938?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*t - 70, 4*h + t = 78. Suppose -h*z = -16*z - 15. Let y = 13 - -9. Solve 0 = -z*m + 2*w + y, 3*m = -2*m + w + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*o + 18*o + 101*o - 30*o.\nAnswer: 143*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - j + 4. Let d(y) = 3*y**2 + 2*y - 7. Determine 2*d(i) + 5*w(i).\nAnswer: i**2 - i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-30)\/(-8)))\/(42\/35)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 553, 2096, 5223, 10492, 18461, 29688, 44731?\nAnswer: 64148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oim when three letters picked without replacement from tjttimo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-4)\/16*9. Does h = 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**5\/20 + 7*j**4\/4 + 5*j**3\/2 - 20*j**2 + 16*j. Let d be u(-20). Calculate the greatest common divisor of d and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1953 + 21451\/11. What is the common denominator of m and 3\/(-6)*(-342)\/21?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 + m**3 - m - 4. Let w be i(-2). Suppose 6*c + 18*c = 576. What is the greatest common divisor of c and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 872 - (-3 + -6 + -2). Is 883 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*a = -89317 + 975, 4*a - 8 = 0. What are the prime factors of n?\nAnswer: 2, 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2 (c) -0.4 (d) -157\/4 (e) 4\/11 (f) 5 (g) 65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + -7. Let r = 81 + d. Suppose w - r - 46 = 0. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**5 + 220*a**4 - 1185*a**3 + 1710*a**2.\nAnswer: -5*a**2*(a - 38)*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(567))*5 - sqrt(567))*4)**2 - (2*(sqrt(567) + -1))**2*2) + 2.\nAnswer: -5616*sqrt(7) + 141010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*c - 6. Suppose -5 = -s - c. Calculate the lowest common multiple of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -1 + 0 + 0*v**2 + v**2 + 0. Let w(q) = -4*q**2. Calculate w(g(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**5\/4 + 5*w**4\/6 - 50*w**3\/3 + 60*w**2 - 56*w. Suppose l(n) = 0. Calculate n.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 23712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*u + 14, 0 = w - 2*u + 9 - 4. Suppose m = 74 - 69. Suppose 0 = -w*a - 3*z + 2*z + 203, -10 = -m*z. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**4)**48)**30)**31 assuming f is positive.\nAnswer: f**223200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345060, -345041, -345022, -345003?\nAnswer: -344984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -1.7722.\nAnswer: -4.7722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 428*i**3 - 5*i**2 + 6291*i + 4?\nAnswer: 2568*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f. Suppose -132 = -2*y - 4*u, f*y - y = -5*u - 38. Suppose 3*g - 5*z = 65, 3*g + 0*z = -2*z + y. Solve g = -2*a - 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/5 - 36*q**3\/5 - 112*q**2\/5 = 0?\nAnswer: -14, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -4464 in increasing order.\nAnswer: -4464, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.9 + -0.9. Let l = -32.9999893 + y. What is l rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -s - 64 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 13. Suppose 0*u - 2*u - 18 = 0. Let d be w(u). What are the prime factors of d*((-72)\/15)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4026, 2\/55 in decreasing order.\nAnswer: 2\/55, -0.2, -4026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 8\/2)\/(-13). What is the nearest to w in 2, 0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578022 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 9*r - 2. Let k be z(7). Suppose j = -4*j + 25. Suppose f = j*p - 175, 65 = 3*p + 4*f - 63. What is the greatest common factor of k and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o + 10 + 66. Let v be (o\/(-4) - 226\/6)*60. What is v rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 521.9 - 499. Let y = -297.1 - g. Which is the third biggest value? (a) 2\/15 (b) 5\/3 (c) y (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 14*a - 18. Let k(j) = 0*j - j + 6*j - 2*j. Let b be k(4). Let f be d(b). Sort -4, f, 5 in increasing order.\nAnswer: -4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5688 + 2851 + 23*p**2 + 2836.\nAnswer: 23*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 88*x**3\/3 + x**2 - x - 6. Is p(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d + 11292*d + 3047*d - 2017*d + 23.\nAnswer: 12333*d + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 12, 4*t = 3*l - 0*l - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -913 + 929. List the prime factors of ((-580)\/f)\/(9\/(-288)).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4\/7 + (-599260)\/(-532)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - u - 4 = -9, 3*u = 2*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s - 224*s + 94*s)*(-3 + 3 - 2*s)*(-3 + 0 + 2) in the form c*s**2 + j + q*s and give c.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76583\/79648 + -18\/2489. What is the common denominator of ((-4)\/6)\/(160\/135) and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m. Sort -5, -4, m in descending order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.052 - -0.448. Let x = 18 + -8. Let j be (-9)\/6*x\/(-9). Is g not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, f: 1, p: 1, x: 2, o: 5}. Give prob of sequence xxo.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from stttsttttstttttststt.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 18*d**2 - 36*d - 68. Determine x(-14).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 1. Let p be s(1). Suppose -11 = -3*w - x, -w + 2*w + 5*x = -p. Suppose -4*v - w*b + 27 = -33, 5*v = -2*b + 78. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, a: 2, w: 4, h: 1, d: 3}. What is prob of picking 1 h, 1 d, and 1 a?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 2*m. Let k be t(-3). Let c = -23 - -22. Let u be (1 + 0\/c)*7. Solve -26 = -5*x + y, -u = -4*x + 2*x - k*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18759, -18764, -18773, -18780, -18779, -18764, -18729?\n\"Answer: y**3 - 8*y**2 + 12*y - 18764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5661 - 5660.99. What is the second biggest value in 1\/5, 0, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*-4)\/(-4) - -21. Let u be ((-3)\/4)\/((-9)\/a). What is the nearest to 1\/3 in -4\/7, u, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 18*l**2. Let u(t) = 394*t**2. Determine u(g(y)).\nAnswer: 127656*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 4*f**3 - f - f**3 - f + f + (1 - 2 + 3)*(3*f**3 - 6*f**3 + 2*f**3) + 4*f**2 + f**3 - 4*f**2 + 0*f + 2*f**3 + 0*f - 4*f**3 - 2*f**3 + 4*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4522, 19380, 44144, 78814, 123390, 177872?\nAnswer: 242260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165629314.95 + -12.\nAnswer: -165629326.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 337 + 149. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12*x - 7. Is c(-6) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8)**(-2\/17) assuming p is positive.\nAnswer: p**(-16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29311\/1400830 + 2\/9865. Is q less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000686108 rounded to 7 decimal places?\nAnswer: 0.0000686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*a**3 + 20*a**2 + 26*a**2 + 32 + 3*a**3 - 54*a**2 + 16*a.\nAnswer: -4*(a - 2)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111011000011110 (base 2) to base 7.\nAnswer: 2325266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*x - 11, -4*x + 2*p = 3*p - 23. Suppose -4*u = -x*u. Suppose n - 3 = -u*n. Solve 0 = 3*q - 3*d - 27, q = -4*q - n*d + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1048\/40)\/((-2)\/(-10)) - -2. Factor 2*c - 8*c**2 - 2*c - 137*c**3 + f*c**3.\nAnswer: -4*c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 5*z**2 + 4*z - 153. Is c(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618383349 to the power of 1\/2, to the nearest integer?\nAnswer: 40229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 7 = i, 3*t = 4*t - 2*i - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -63*k**4\/4 + 17*k**3\/6 + 9*k + 2. Find the second derivative of a(b) wrt b.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.8709 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 103, 431, 985, 1759, 2747, 3943?\n\"Answer: -g**3 + 119*g**2 - 22*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4094 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 410 - 1?\nAnswer: 40d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let g(n) = -5 - k*n + 11*n - 2*n. Is g(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b22 + -1808?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1806 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 2. Let s be (-96)\/51 + -1 - -3. Which is greater: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 + 3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15273439+0.07\nAnswer: -15273438.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7071 + -10084. Let v = -1523 - s. What is v rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855*s + 1329*s + 8416 = 0 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 2*r**2 - 5*r + 9. Give w(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8159874 nanograms to grams.\nAnswer: 0.0000000008159874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -387*y**2 + 51*y**2 + 1980*y**2 + 2139*y**2 + 3 - y**2 - 3 + (3 + y - 3)*(-y - 2*y + y) as o*y + n + d*y**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**5\/40 + l**3\/3 - 99*l**2\/2 + 97. Let k(v) be the third derivative of g(v). Let o(f) = 6*f. Determine 14*k(j) + 6*o(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291305 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-99) - (-32)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 5 (c) -223 (d) -0.5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 22. What is b(-8)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -64, -6, -5, -49, -2, -9 in decreasing order.\nAnswer: -2, -3, -5, -6, -9, -49, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 3*m + 2*m)*(0*m + 0*m - 3*m**2) - 2*m**3 - 4*m + 4*m.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*v + 57. Calculate the highest common factor of 81 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**2*k*s - 1980*h**2*k*y - h**2*s + 55*h*k*s*y + 20*h*k + 3*h - k*s*y - 2*k*s - 5 wrt y?\nAnswer: -1980*h**2*k + 55*h*k*s - k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 + 14*t - 15. Let n(j) = -3*j**2 + 9*j - 10. Let q(x) = 5*b(x) - 8*n(x). Suppose 6*f - 3 = -39. Let d be (-16)\/f*18\/(-12). Give q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 21, -1 in decreasing order.\nAnswer: 21, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:14 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 76. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + befc?\nAnswer: bf02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-5 - (-1 + 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 greater than -9699\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1449, -1299, -1149, -999?\n\"Answer: 150*q - 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x. Let d(w) = w**2 + 14 - 2*w - 2*w**2 - 12 + w**3. Let l be d(2). Give v(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 13962 = 3*k - 14017, 0 = 5*f + k + 35 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -22*k**2. Let m(t) = -t. Calculate m(z(a)).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, n: 15}. What is prob of picking 2 f?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 v, and 1 q when three letters picked without replacement from {o: 2, q: 1, s: 2, v: 5, i: 2, y: 2}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and -37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14) + 44\/(-154))*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**6\/360 - 3*v**5\/40 + v**4\/24 - v**3\/3 + 6*v**2 + 18. Let k(c) be the third derivative of r(c). What is k(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -5 - 2\/3*k**3 + 5*k - 5\/2*k**2. Let u(r) be the first derivative of w(r). What is the first derivative of u(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228645028209.99999279 + -228645026631. Let o = t + -1579. What is o rounded to seven dps?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123126 or -123125?\nAnswer: -123125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 814\nAnswer: -5\/814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-380)\/1425*3\/(-2). What is the closest to 0.1 in 17, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 710802?\nAnswer: 7818822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 plus 0.05892?\nAnswer: 18.05892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -29*v + 20. Give l(-7).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -239 - -156. Which is smaller: -85 or i?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1108 in -1, -5, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 40004*g - 22. Let n be d(5). Suppose -5*h + 15 + 0 = 0. Suppose 4*a + 399994 = -h*s, -2*a + 0*s - n = s. Round a to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9452538?\nAnswer: 2, 3, 19, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**2 + 3*c - 1. Let f(d) = 14*d**2 - 8*d + 3. Let s = -13 + 16. Suppose 4*k = 5*y + 19, 7*k - 29 = s*k + 3*y. Calculate k*a(b) + 4*f(b).\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/14980 and -123\/895804.\nAnswer: 4479020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31805, -1, 2 in descending order.\nAnswer: 31805, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + p = 6*p - 4, -4*l = 5*p - 12. Let t = l - 6. Let d be (t\/(-2))\/((-1)\/2). Solve 4*y = -4*i + 28, 2*y = 2*i - 0 + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 545\/4 - 631\/4. What is the common denominator of n and -71\/16130?\nAnswer: 16130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n - 29*n**2 - 5 + 13*n**2 - 8*n**3 + 19*n**2 - n**4 + 9 to r*n**3 + l*n**4 + k + i*n + s*n**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21390 = 33166*g - 32936*g for g.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-19643.\nAnswer: -21607.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 101323100?\nAnswer: -101323105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 82 = -12*v. Calculate the remainder when v is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1139, 0.2, 0.061, 2, 1\/7, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-108)*-3*6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 136434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4464 * 4973.\nAnswer: 22199472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203*q**2 + 542 + 124 - q**3 - 195*q**2)*(-2*q + 0*q + 3*q).\nAnswer: -q**4 + 8*q**3 + 666*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3\/w)**(3\/8)\/(w**(-3\/4))**(-1\/30) assuming w is positive.\nAnswer: w**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/4, -1\/377, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i*w**3 - 10*i*w**2 - 2*i*w + 20*w**4 wrt w?\nAnswer: -18*i + 480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14\/11 + 148\/99. Let i = 0.5 + 4.5. Put n, i, 1 in decreasing order.\nAnswer: i, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -92*t - 107. Let z(f) = -45*f - 54. Let q(b) = -4*v(b) + 9*z(b). List the prime factors of q(-12).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 5 (b) 4.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-16))\/(-2*1\/24). Let o(d) = -d**3 - 24*d**2 + 1 + 23*d**2 + 5*d**m. What is o(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489663679 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i + 7831 - 917 = -4030. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*120\/(-300).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -37\/866057?\nAnswer: -37\/866057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + q - 7. Let l(h) = -5*h**2 + 8. What is -5*l(g) - 6*u(g)?\nAnswer: g**2 - 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 2*x**2 + x**2 + (121 + 125 - 60)*(x + 5*x - 3*x)*(-4*x + 2*x + 4*x).\nAnswer: 1119*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80 or -177?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvgvwggwgggg. What is prob of sequence vgwv?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 54 = -10*f. Let s be (-7)\/((-7)\/f)*1\/3. Solve 0 = -5*i + s + 17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 45900?\nAnswer: 1\/45900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -172, -3, -2, -223 in descending order.\nAnswer: -1, -2, -3, -172, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2720 and 1984.\nAnswer: 168640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + 14 + -6 + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/4)\/(8\/2656).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o + 13 + 41*o**2 - 4*o**2 - 18 + 22*o**2. List the prime factors of q(-2).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 1. Let y(i) be the second derivative of -23*i**5\/20 + 2*i**2 + 213*i. Calculate 4*c(b) + y(b).\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1080, 1960, 2888, 3888, 4984, 6200, 7560?\n\"Answer: 4*l**3 + 852*l + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -4 (c) 4 (d) 0.1 (e) 5221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824702.6l to millilitres.\nAnswer: 824702600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -118265 (base 10) in base 4?\nAnswer: -130313321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-4\/9)*z))\/z*z)**11\/(z**10\/z**(-2\/7)) assuming z is positive.\nAnswer: z**(-340\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + -6*(-5*(sqrt(17) + 0) + 3).\nAnswer: -16 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0*s**2 + 0 + s + 0*s**5 - 1\/10*s**6 + 1\/6*s**3 + 0*s**4. Find the second derivative of o(c) wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -515*o + 518*o. Which is the fourth smallest value? (a) 2\/3 (b) o (c) 1.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8051257?\nAnswer: 8051257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -1055261?\nAnswer: -1055262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39975 > 39962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -421 - -424. Suppose k - p*c - 13 = -8, -4*c - 14 = -5*k. Solve 0*b = 4*n - k*b - 22, -4*b = 4*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + 0\/(-2). Suppose 3*k - 3 = q, z - 4*k = -z + 2194. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33489, 66976, 100463, 133950?\nAnswer: 167437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -1.2. Let n = 10 - 13. Let s = -2 - n. Which is the nearest to o? (a) s (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2009 and 539?\nAnswer: 22099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(4 - 2 + 0)*(12*x**3 + 0*x**3 + 17*x**3) to z*x**2 + l*x**3 + w + f*x and give l.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3 - 13. Let g be -1 - -7*(-2)\/(-18). Which is the nearest to -0.1? (a) g (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -142, -165, -206, -271, -366, -497?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2)\/(1\/11). Let f be 168\/77 - (-2)\/n. Is f > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3880464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (-22 - (-1 - 1)). Suppose 5700 = 10*y + l*y. Does 47 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -13 + 1. Let p(k) = 2*k + k - m*k. Let d(v) = -2*v. Calculate d(p(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/30*(-570)\/(-114)*24.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21204 and 725724?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0 = -3*f + 25, f - 2*p - 23 = 0. Suppose -c + 444 = -3*a, -a = -137*c + 141*c - 1737. What is the greatest common divisor of f and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p + 323. Is a(16) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55809 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m. Let b be u(1). Let g = -27 - b. Let k = g - -53. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3 + 1. Suppose 4*m = -3*o + 5492, 5*m - 6865 = -v*o - 2*o. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -341*u - 1283.\nAnswer: -341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40071 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from qqqqlpqspp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3238, 12942, 29110, 51742, 80838, 116398?\n\"Answer: 3232*b**2 + 8*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222*w - 8 = -1220*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/18*(-87)\/(-145). Let t be -1 - (2 + -3 - 20). Let q be 8\/(-2)*(-3)\/t. What is the third biggest value in -4, q, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -1\/507, -0.05, 5?\nAnswer: -1\/507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38282439563688 and -1.\nAnswer: -38282439563689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11121 divided by -11121?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n = -33*n + 60. Suppose -2*d - r + 46 = 0, 5*r + n = -5*d + 155. Suppose 0 = -7*m + 2*m + 165. What is the lowest common multiple of m and d?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/5))**5)**17 assuming q is positive.\nAnswer: q**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*m)*(548*m**2 + 4 - 4 - 43*m**2 + 1225*m**2).\nAnswer: -5190*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 873 + -871. Solve -5*q + 4*x = -3, y*q + 3*x + 3 = 6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7 + o**2 + 2*o + 1 - 6. Let l be j(-2). Let h be (-109)\/(-6) + (-15)\/90. Solve g = -3, -l*g + 0*g - h = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000048779685 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/22 + 6\/(-33). Suppose -u = -b*u + 154. Suppose 3*d = -11 + u. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v. Let p = 10 + -7. Suppose 3 = -k + 5*a + 20, 9 = -p*a. Suppose r - 3*z = k*r - 4, -3*z = -5*r + 2. Calculate n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c6 + -6?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 2*a - 2 + 0*a**3 + 0*a**3 + 3*a**2 + 2 - 3*a**4 to z + n*a**4 + l*a**3 + f*a**2 + s*a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -294, -285, -276?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Suppose -14 = 3*f - l*j - 79, -4*f + j = -80. Suppose f = x + 5. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v + 2. Calculate the remainder when s(9) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 + -3169523991417.6?\nAnswer: -3169523991417.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 4*q + 1. Let d be z(3). Let u(k) = k**2 + d + k**2 + k**2 - 5*k**3 + 6*k. Is u(-2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let l(v) = -212*v**2 - 1272*v. Let t(f) = f**2 - 4*f. Let c(n) = l(n) - 318*t(n). Give d(c(x)).\nAnswer: -561800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -167*z**4 + 11*z**2 + 15*z. Let k(c) = 166*c**4 - 14*c**2 - 15*c. Let r(j) = 2*k(j) + 3*m(j). Find the third derivative of r(f) wrt f.\nAnswer: -4056*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:31 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7062.58 - 6632. What is j rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 45 + (-76 - -49)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*(13 - -491). Let m(g) = -252 - 2*g + p. Let l(c) = 51*c**2. What is m(l(y))?\nAnswer: -102*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 45*c + 3. What is q(-20)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47153763523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2898 + -2061. Let q = 6725\/8 - a. What is the common denominator of q and -103\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 9 = 6*l + 5*s, 3*l = -5*s - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/33)\/(-27*7\/(-567))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 339741833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26526, 26536, 26546?\n\"Answer: 10*h + 26516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.718 in -3\/5, 60, -4, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5448 + -3684. Let z = w + -781. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/31132493 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/12 + 4519*z**2\/12 - 9041*z\/12 + 1507\/4.\nAnswer: (z - 1)**2*(z + 4521)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -428, -3771, -12920, -30779, -60252, -104243?\n\"Answer: -484*c**3 + c**2 + 42*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 - 3. Suppose 0*c = 4*c + 24. Let m be p(c). Let s be -3 + 25 + (-1 - m). What is the greatest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 3*u - 5. Let m be a(-2). Let j = 1 - m. Suppose 0 = 2*o - j - 20. Calculate the highest common factor of o and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/(-39))\/(2\/(-12)) - -3. Suppose k*a - 193 = 4*a + 3*s, 764 = 4*a - 4*s. List the prime factors of a.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/14 - (-34)\/(-136).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2. Let s(m) = -3. Let p(g) = 2*g**2 - 42. Let v(q) = 3*p(q) - 42*s(q). What is v(j(o))?\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 61, 4, 0, 58 in increasing order.\nAnswer: -3, 0, 4, 58, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496422 = 3*m - 496398 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8975*g**2 + 0 - 25*g - 8944*g**2 + 2*g - 1 to h + o*g + c*g**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.6829289605464 and 2.\nAnswer: -2.6829289605464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -851, -2836, -6683, -13010, -22435?\nAnswer: -35576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -175307 - 132?\nAnswer: -175440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/4*(-22)\/(-55)*3\/9. Factor 5\/3*d**3 + 0 + d - 7\/3*d**2 - t*d**4.\nAnswer: -d*(d - 3)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -32\nAnswer: -13\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 254591767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)\/o)**(1\/4)*(o**(-2))**(8\/9))**(32\/5) assuming o is positive.\nAnswer: o**(-536\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1548480 and 56640?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40039.0000075217 + -40039. What is s rounded to 7 decimal places?\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + 2*j**2 + j - 1. Let z = -10 + 13. Is l(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(55\/(-1))\/1. Let q = 557 + h. Does 47 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from uskwusuulu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -92*v**2 + 10*v + 9. Give c(-1).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119697899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 4 + sqrt(80) + sqrt(320)*-4)**2.\nAnswer: -216*sqrt(5) + 3661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**4 + 3*v**3 - 3*v**2 + 5*v + 6. Let g = 1 + -7. Let j(l) = l**4 + l**3 - l**2 + l + 1. Let i(t) = g*j(t) + f(t). Solve i(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 21. Solve -2*l = y*t - t, -3*l + 3*t = -18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -669*g + 1313*g - 1932 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 16*v**2 + 3*v - 6. Let f(l) = -14*l**2 - 2*l + 4. Let c(n) = -3*f(n) - 2*p(n). Let s(d) = 25*d**2. Determine c(s(g)).\nAnswer: 6250*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*f + 1466951 - 1462271 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 24 = 3*n, n - 16559 + 16556 = -j for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v + 41. Let i(p) = 4*p + 20. What is 5*i(g) - 2*x(g)?\nAnswer: 2*g + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swsswswwwwuu. Give prob of sequence sssu.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(8 - 1 - 1)*(t + 2 - 2)*(2*t**4 - 3*t**4 + 2*t**4).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*v = -86, 6*l = l - 4*v + 68. Calculate the lowest common multiple of l and 78\/4 + (-102)\/68.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 56511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 15*s**2 + 31*s - 74. Let w be i(6). Suppose 4*o - 40 - 104 = 0. Solve z + k = -3*z + 21, -4*k = w*z - o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1434602 and 2990.\nAnswer: 7173010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 20 = -5*d, 4*d - a - 23 = -4*a. Let j(k) = 2*k**2 - 4*k - 3*k**d + 6*k - k**2. What is j(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10905*j*k + 487963639*j + 933*k wrt k?\nAnswer: -10905*j + 933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13603.425 rounded to the nearest 100?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14993659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2793 + 19.5063. What is s rounded to one dp?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Let j be i + (-1 + 2 - 0). Calculate the highest common divisor of 36 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/4, -1, 2, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 18*m**2 + 16*m + 21. Let b be w(17). Suppose -4*i = i + b*g - 31, 5*i - 4*g = -1. What is the biggest value in i, 0.4, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53270 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125962 or 125961?\nAnswer: 125961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -2362, -4 in descending order.\nAnswer: 17, -4, -2362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613 a factor of 297496972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(-10)\/4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19562 and 56.\nAnswer: 547736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -18, 1\/5, -2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892.41284 rounded to the nearest 10?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.2. Let w = -0.1 - 0.1. Let x = 0.06 + 0.24. What is the nearest to w in 0, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141 + 985\/7. Let j = -74 + 73.8. Which is the third biggest value? (a) s (b) 4 (c) j (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -7*a**5\/15 - 743*a**4\/90 + 59*a**3\/9 - 22*a**2\/15 + 123*a - 1. Solve c(q) = 0.\nAnswer: -11, 1\/10, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2 + 1065*b**4 - 503 + 511 + 5*b**2 wrt b?\nAnswer: 25560*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2. Suppose 0 = 26*q - 21 - 31. Let d(b) be the second derivative of 0*b**q + 9*b + 0 + 1\/2*b**3. Calculate i(d(p)).\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1833334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlta. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 3\/4 (c) -568 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccchchc. What is prob of picking 2 h and 2 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17672, 17675, 17678?\n\"Answer: 3*s + 17669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 - k. Let u(o) = 4*o**3 + 6*o**2 + 2. Let g be 2 + 4 + -8 + 1. Let x(i) = g*u(i) + 3*j(i). Is 10 a factor of x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21725 = -21*d + 18*d + 8*r, 28994 = 4*d + 3*r. What are the prime factors of d?\nAnswer: 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2. Let i(m) = 1333721*m**2. Determine i(y(t)).\nAnswer: 33343025*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - 693*u**2 + 140*u - 32334. Calculate m(231).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 1\/6, 10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.258899 to three dps.\nAnswer: 1.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426092391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let n be -4 + (-1)\/(-1 + 3\/4). Let r(j) = -8 - 11*j**2 + 1 + n + 3. Determine w(r(o)).\nAnswer: 11*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w + 5*j - 292, -5*j = -10. Suppose 0 = h - 2, 5*g - 579*h = -584*h + 70. What is the remainder when w is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 5270255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3162 divided by 3?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 8*p**2 - 13*p + 10. Let n be f(6). Let d = 0.065 - 2.065. Which is the closest to n? (a) d (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*((-45)\/(-6))\/(-5). Suppose -2*r = r + y. Is (-1)\/2 - 478\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 9*u**2 + 8*u - 30. Let c be (21 + -26)*(3 - 1). Let a be b(c). Let i(x) = -x + 3. Calculate the remainder when 62 is divided by i(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454265906?\nAnswer: 2, 227132953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -34\/5, 98, 7\/5 in decreasing order.\nAnswer: 98, 7\/5, -0.3, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = t - 0. Let y = -413 - -588. Let g = 276 - y. Calculate the remainder when g is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 3:55 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036922741 a multiple of 758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1547909, -0.2?\nAnswer: -1547909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9453929l in millilitres?\nAnswer: 945.3929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.03 (b) 3.360369 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -432, -649, -866, -1083, -1300?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -246 - -246. Solve z = 5*v + 21 - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 75\/4 of a week?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 3*g**2 + 6*g**2 - g**2 - 2 + (2*g - 4*g + 0*g)*(2*g + 13*g + 12*g) to h*g + p*g**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 167*v + 507*v + 167.\nAnswer: 674*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 751369350 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**2 - 39151 + 117447 + 3*g**3 + 2*g**3 - 39146 - 39150.\nAnswer: 5*g**3 - 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 181588 and 24?\nAnswer: 1089528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -513902*i - 513894*i - 2*i**2 - 4 + 1027797*i. Let n(h) be the third derivative of h**5\/60 - h**4\/24 + h**3\/2 - 2*h**2. Calculate 4*m(o) + 5*n(o).\nAnswer: -3*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + p + 5)*(4*p - 2*p**2 - 4*p) + (-p**2 - p**2 - p**2)*(3*p - 4*p + 0*p) + 3*p - 5*p**3 - 3*p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2296400 to the nearest ten thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/15*((-188)\/(-28) + -8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/7)\/((-90)\/315).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohhhohhhoohhohohho. Give prob of picking 2 o.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Suppose -7*f + 6*f + g = 0. Suppose f*d - 7*d = -28. Is 6 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -13.7. Let n = -29 + 28. What is the closest to n in k, -1\/4, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 488994, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2, -3 in ascending order.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 8. Suppose -70 = -4*j + 2*c, 4*j + 3*c - 67 = t*c. Let z = j - 3. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -1\/280*t**7 + 0*t - 2*t**2 + 1\/12*t**3 - 1\/96*t**6 + 1\/240*t**5 + 5\/96*t**4 + 0. Determine s so that h(s) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 5*z**2 - 7*z - 5. Let y be g(-7). Let k = -46 - y. Solve k = -4*x + 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -469, -470, -471, -472?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10184 times 0.0535?\nAnswer: 544.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 8*k - 20. Let f be i(6). Solve 3*n - 5*q = 25, 0*q - 5*q - 30 = -f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*l + 10, y - 5*y + 7 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-10))\/(3\/15) + 1. Let y(h) = h**2. Let p be (2 + 5\/(-2))*-2. Let z(j) = -j**3 + 5*j**2 - 4*j + 6. Let b(c) = p*y(c) + z(c). Determine b(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 896776.8 years?\nAnswer: 10761321.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.02*-73.9.\nAnswer: -1405.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 603 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 100342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-7 - -3) + 1 + -7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from pkkkskkkkkskspkkkksp.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 14394.\nAnswer: 158334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1466166*s**2 - 105. Let g(w) = 2*w. What is g(j(f))?\nAnswer: 2932332*f**2 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 16. Let j be w(9). Which is smaller: j or 17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/2 - 4*a**3\/3 + 1. Suppose -2*h + 1 = -7. Let o(r) = r**3 - r**2. What is h*o(y) - k(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 3\/5, 5, 4\/9, 2\/43, 0, -5 in increasing order.\nAnswer: -5, 0, 2\/43, 4\/9, 3\/5, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 54*c - 1261. Give a(23).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-114)\/7 + 80\/280. Let a(z) = z**2 + 5*z - 4. What is the remainder when 2\/16 - 62\/w - -35 is divided by a(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/6046 and -151\/2226?\nAnswer: 6729198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2145732 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 423, 838, 1243, 1638, 2023, 2398?\n\"Answer: -5*u**2 + 430*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g - 1 = 3*s, 2 = g. Put 1, s, 75 in descending order.\nAnswer: 75, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 258515*l. Let m(q) = q - 68. What is k(m(x))?\nAnswer: 258515*x - 17579020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118893 - 31136. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-168)\/(-336))\/(1\/6548).\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 14 - 13 - 13 - ((4 - 3) + 17)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let r = -3 + y. Solve 0 = -r*f - 3*f + 15, 2*x + 4*f = 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(2 + -2) + 266. Suppose 2*q - 5*q = 36. Is (-2)\/12 - f\/q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, c: 2, m: 1, u: 7}. What is prob of sequence smc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7*(-2*4222\/76 - (-120)\/1140)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4191 - 1942. List the prime factors of t.\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -12. Let k = 1651 + -1654. Let f(r) = -8*r**2 - 3*r. Let c(p) = -17*p**2 - 7*p. Give j*f(g) + k*c(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = -15. Suppose c = -r + 10. Suppose -7 = -2*x + x - 4*s, -2*s = 2*x - 8. Solve -y = -4*m + 9 - x, r*y = 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12686299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7869 (base 12) to base 6\nAnswer: 141413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + 620068090439?\nAnswer: 620068090515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from kppckvvc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:55 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585, 570, 545, 510, 465, 410, 345?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 867 - 426. Let m = j + -431. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 229.0565 - 229. Let i = 7.672 - 7.72. Let w = i + f. Round w to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let t be (2 - 1)\/1 + -4. What is the closest to 1 in k, t, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 180, 184, 200, 234, 292?\n\"Answer: h**3 - 3*h + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.963988 hours?\nAnswer: 35870356.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 48*o - 136. Determine k(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t + 463. Determine o(72).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 3781 (c) -0.015 (d) 3 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5*20\/(-5950))\/((-4)\/(-7))\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:07 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(176) - (2*sqrt(176) + 3)) + -1 - (-1*(sqrt(176) + 3) - (-1 + sqrt(176))*-4))**2.\nAnswer: -192*sqrt(11) + 2852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8828057?\nAnswer: 7, 47, 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 + 8*q**2 + 0*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-6 + -8 - -13 - -4)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.9? (a) 0 (b) -0.2 (c) 17 (d) -4 (e) -356\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 0.2, -3\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1885178 divided by 43\nAnswer: 1885178\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.5, -0.3, -0.2, 3 in ascending order.\nAnswer: -0.3, -0.2, 3, 5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4338\/12419 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21890317 to the nearest integer?\nAnswer: 4679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z + 318. Let x be j(-32). Calculate the greatest common factor of 2445 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s + 23. Suppose 149 = 10*c + 29. Calculate the remainder when a(20) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*o + 406459, 4*q - 325174 = -0*q + 5*o. Let z be -1 + q\/24 + -1. Let d = z - 3390. Calculate the common denominator of -131\/6 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/235 and -131\/30.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13657584 is divided by 813.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose 2*u = 3*u - z. Is 1\/2 + 146\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3862, -3977, -4168, -4435?\n\"Answer: -38*f**2 - f - 3823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:01 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*24\/9. Let h = 14.65 + -14.74. Which is the closest to 2? (a) z (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2272 divided by -1136.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 2*z + 18, 5 = 5*m + 3*z - 4*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623555 times -102?\nAnswer: -165602610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0 + 6*a - 1 - 5*a**2 + 8*a**2. Let z be p(-5). Let h = z + 33. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1005, 2001, 3017, 4065, 5157, 6305, 7521, 8817?\n\"Answer: 2*u**3 - 2*u**2 + 988*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -451\/8493?\nAnswer: -451\/8493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51, -97, -141, -183, -223, -261, -297?\n\"Answer: v**2 - 49*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -257*i**2 + 262*i**2 + 0*i**3 + 2 - i**3 as k*i + p + x*i**2 + t*i**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 20, 4*t + 2*x = 3*t + 111. Let p be (-2)\/(-6) - 303\/(-9). Suppose p = i + i. What is the greatest common factor of t and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*r = -201 + 586, 308 = 4*d + 3*r. Calculate the remainder when d is divided by (-2)\/((-57)\/(-30) - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/474 + -313\/1422. Let i = 0 + 0.2. What is the third smallest value in t, -7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529044101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 - 2*j + 7. Give s(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 21*w**2 - 9*w - 29. Let z be f(-19). Let x = 580 + z. Solve 3*r + r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -184950 > -184849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 - -2) + (-21 - -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 837913, 837851, 837789, 837727, 837665, 837603?\n\"Answer: -62*z + 837975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((1*sqrt(405)*-5 + sqrt(405))*4 + 1 + -3*(sqrt(405) + sqrt(405)*2) + sqrt(405))*3).\nAnswer: 2592*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + c)*(-313 + 313 + 9*c)*(-10*c - 4*c + c).\nAnswer: -117*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 205, 214, 223, 232, 241, 250?\n\"Answer: 9*x + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - 1095*s**2 + 5*s**3 - 16*s**3 + 11*s**3 + s**3 to b + g*s**2 + c*s + k*s**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676*-0.1734.\nAnswer: -117.2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/5)\/(9\/(-90)*15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/15 + 2\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t + 13*t - 2*t + 50*t + 71*t + 10*t.\nAnswer: 192*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4580 + -4542. Solve 28*i = w*i - 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from klilllqiqlkl?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4861628037 - -6650.\nAnswer: 4861634687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 99293?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**5 + 3*h**3 - 3*h**3)*(-2 + 2 + 2)*(-2 + 3 - 5 + (5 + 0 + 3)*(7 - 2 + 0) + 2 + 3 - 4).\nAnswer: -74*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248 + -242. Let r(q) = q**3 + 2*q**2 - q + 4. What are the prime factors of r(y)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-21))\/((-114)\/532). Let m = 17 - 14. Sort o, m, -23 in descending order.\nAnswer: m, o, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**5\/60 - k**4\/24 + 2*k**3\/3 - 3*k**2. Let z be 0\/10*(-2)\/4. Let w be m(z). Are w and 4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01415785917 to four decimal places.\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 604, 708, 842, 1000, 1176, 1364, 1558?\nAnswer: 1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 789 and 31717011?\nAnswer: 31717011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2158*m**2 - 6374*m - 7. Let a(q) = -1074*q**2 - 3187*q - 4. Let v(p) = -7*a(p) + 4*w(p). What is the second derivative of v(s) wrt s?\nAnswer: -2228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -13 - (9 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -12. Which is smaller: -21 or x?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*k - 1466 + 266. Is k at most as big as -251\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 8, -30 = -0*f + f + 5*a. Let c = f + 25. Suppose 3*x = c*x - 76. Calculate the remainder when 149 is divided by x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16015 is divided by 1151?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10046 at least 10044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*7\/14 + -2 + 1. Let r(y) = -2*y**3 - 5*y**2 - 5*y - 4. Calculate r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 6*p + 10. Let x = -2 - -8. Let o = x + -6. Suppose 3*d + 0*d - 5*l + 24 = o, -l = 0. What is m(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.7 and -0.1083?\nAnswer: -2.67501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -307221 (base 10) in base 15?\nAnswer: -61066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siioeioivgggoovvg. What is prob of picking 1 e, 1 g, and 1 o?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 - 44\/(-12). Suppose 2*j - 3 = -3*g, 3*j - r*g = 2*j + 18. What is the third derivative of 0*v**6 + 2*v**j + v**6 - v**2 wrt v?\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t. Let u be a(-5). Suppose 5*b + 15 = -u. Let p(y) = -3*y - 2. Let l(d) = -d - 1. Let c(v) = 4*l(v) - p(v). Calculate c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 126 + 22 = 0. Suppose -3*i - 147 = -3*n, 5*i = -5*n + 135 + 70. What is the smallest common multiple of 24 and f\/5 + -9*(-3)\/n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -9872.5182.\nAnswer: -9871.9182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*a + 45, -4*i + 3*i + a + 14 = 0. Suppose -i*w = -12*w + 3. Solve -5*f - 15 = -w*p, f + 0*p - 4*p + 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:53 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - -1252536?\nAnswer: 1252561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68239 is divided by 68204.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/8 and -31\/2491405?\nAnswer: 19931240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.673748 micrometers?\nAnswer: 0.000000007673748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2556, -2588, -2620?\nAnswer: -2652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 38545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o**3 - 11*o**2 - 5*o + 2. Let p(k) = 7*k**3 - 6*k**2 - 3*k + 1. Let t(w) = -5*p(w) + 3*z(w). Determine t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + 0*z)*(4 + 0 - 2) + 0*z + 5*z + 3*z + 768*z + 2 + 98*z + 343*z - 2.\nAnswer: 1221*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11 + w**2 - 9 + 20*w - 19. Let a be y(-22). What is the nearest to -1 in a, -3\/2, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1379 - -0.0379. Which is smaller: u or -1427?\nAnswer: -1427","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Let c(f) = -f**3 - 20*f**2 + 2. Let l be c(-20). Let w(j) = j**2 - j + 4. Let y be w(l). What is the highest common factor of u and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*z**3 + 5*z**3 - 25*z**3)*(0 + 2 - 1)*(-3 + 0 + 2)*(-21 + 21 + 16*z)*(-1 + 1 + 2*z).\nAnswer: 1216*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8083 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1851 = -10*m - 3549. Let u = 540 + m. Sort u, -2, -8, 1.\nAnswer: -8, -2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32186 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7279.22 rounded to the nearest ten?\nAnswer: -7280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from cbbbkakbnabacbak?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33131, 33141, 33151?\n\"Answer: 10*g + 33121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g + 4. Let y(v) = -1 - v + 8 + 5. Let r be y(13). Put r, 4, g in descending order.\nAnswer: 4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1 + 2*t - 5 + 3*t + 0. Let w(j) = 6*j - 5. Let s be 26\/4 + (-4)\/(-8). Suppose s = g + 2. What is g*m(q) - 4*w(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let w(i) = -2*i**3 + i**2 - i - 1. Let o(m) = -2*m**3 - 527*m + 5 - 4*m**2 + 265*m + 268*m. Let u(s) = o(s) + 4*w(s). Calculate u(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -313?\nAnswer: -93.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 - 14 = 10*s + 284 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -34. Solve 2*z - 8 = -r*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/3 + 242*a**3 - 125833*a**2\/3 - 718256*a - 8809024\/3.\nAnswer: -(a - 371)**2*(a + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 7*q - 9. What is r(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2331)\/4995)\/(777\/(-6290))\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 21 = -1. Let w be (-1400)\/(-20) + 1 + 3. Let a = w + -54. Calculate the least common multiple of a and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-18)*v*v\/(v*v**(4\/17)*v*v))\/(v**8\/v*v*v\/v**(-1\/5)*v*v))**(-4\/19) assuming v is positive.\nAnswer: v**(-2232\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3083 - -3453. Calculate the highest common factor of t and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**11\/p*p\/(((p\/(p*p**(2\/17)*p))\/p*p)\/p)*p**(-3)\/(p\/(p*p\/(p*p**(2\/3))*p)) assuming p is positive.\nAnswer: p**(533\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 - 2*n**2 + n + 5. Let l be t(4). Let j = l + 503. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 41*m = 2*m - 29*m + 12*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 277*x + 11990. Determine r(-43).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 3, l: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8007073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 10. Let r(z) be the first derivative of -1\/2*z**b - 1\/3*z**2 + 2\/15*z**5 - 1 + 2\/3*z**3 + 0*z. Factor r(y).\nAnswer: 2*y*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204948900*a**3 - 409897779*a**3 + 204948875*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -50, -83, -122, -167?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 4*u**3 - 2*u + (3*u - 3*u - 2*u**2)*(-4*u + 3*u + 3*u) + 10*u**3 - 14*u**3 - 19*u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2709068 and 238738?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(17) - -1*sqrt(17))**2 - (sqrt(17) + sqrt(17) + (sqrt(51)*1)\/sqrt(3)))*-2.\nAnswer: 6*sqrt(17) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-7) + -5*(-186)\/210. Solve -r = -2*r + k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 7*v - 52. Let l = -429 + 531. Calculate the remainder when l is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258 (base 12) in base 6?\nAnswer: 25352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 201\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 33*x - 33300. Calculate z(163).\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*g - 966 - 311 - 151 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2. Let x(h) = -46*h**2. What is m(x(w))?\nAnswer: 8464*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -431212234 + 130?\nAnswer: -431212104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(-1015)\/(-87)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1745\/2)\/((-15)\/(-30)). Let w = p - 412. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r - q + 7, -4*r + 4*q - 8 = 0. Suppose 0 = 2*o + r*o + 5*j - 176, -5*j = 0. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l**2 + 12*l - 12*l. Let n(h) = -2*h. What is s(n(j))?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 43. Suppose 7*q = l*q + 80. Calculate the remainder when 79 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 57*c**2\/5 + 162*c.\nAnswer: c*(c + 27)*(c + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + 2 - 2. Let r(w) = 67*w**2 + 81*w**2 - 246*w**2 + 79*w**2. Calculate r(b(y)).\nAnswer: -304*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 2*g - 1\/4*g**4 + 0 + 0*g**2 + 1\/3*g**3. Find the second derivative of t(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 12. Let q be c(11). Suppose -31 = -4*i + q. Are 6 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4383 and 463392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((((l\/((l*l\/((l\/((l*l**(-28)*l)\/l))\/l))\/l))\/l)\/l)\/l)*l*l)\/l*l**(4\/3)*(l**(-3\/17)\/l*l)**(-6\/5) assuming l is positive.\nAnswer: l**(-4961\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5474 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 443 = j + 1709, -2112 = -5*g + j. Suppose -5*l + 2*l + g = 0. What are the prime factors of l?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2598 = 2*w, -x - 7*w + 5*w + 642 = 0. Which is bigger: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*q + 11*q + 16*q + 16*q + 15*q**2 wrt q?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226898 - -0.0784549601\nAnswer: -226897.9215450399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23c7c - 15?\nAnswer: 23c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 26*g**2 + 1 + 33*g**2)*((10*g + 3*g - 5*g)*(-4 + 3 + 2) - 2*g - 4*g + 5*g) as r*g**2 + q*g + a + j*g**3 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 7. Let m be k(7). Suppose g = 4 - m. What is the least common multiple of 2*2*18\/g and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 3*m - 4. Let k be o(-5). Let z = k - 4. Suppose 54 = z*r - 3*a, a + 3*a + 50 = 2*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 831130 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 7182.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*q - 74. Let v(d) = -d + 21. Let x be v(q). Solve -6*l + 15 = -2*r - l, 0 = 4*r + x*l - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9274 = p + 3*x, -4*p + 24995 + 12115 = -2*x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -77*k**4\/12 - k**3\/3 + 61*k**2 - 56*k. What is the first derivative of t(p) wrt p?\nAnswer: -154*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70778\/27 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933387586.\nAnswer: 2, 67, 191, 36469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7827 is divided by 1557.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*t = 2*t - 10, -5*a - 2*t = -18. Solve a*w - 8 = 4*s, 5*s + 25 = -0*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -90, 3, -0.3, -3, -5\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 693553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 322\/23*(4 - (-324)\/(-63)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -18*m + 174. Give b(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (1 + sqrt(304))**2.\nAnswer: 8*sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-1 - 18\/(-4)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102799360 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: Is (2 - 2)\/9 + 26913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + 20\/6. Suppose -5*j + b = -2. Solve -u + 4*u = -v - j, -5*v = -2*u - 29 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:46 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14251010 (base 6) to base 11.\nAnswer: 304287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2893*r = 2888*r + 1, 0 = -3*r - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(53*x - 105*x - 688*x**5 + 51*x).\nAnswer: 2752*x**5 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2058.025 and 90.3.\nAnswer: 2148.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1655, 1658, 1661?\n\"Answer: 3*x + 1652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)\/(v\/v**(1\/2))*v**8\/(v*v*v**(-3)) assuming v is positive.\nAnswer: v**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -321*5\/315 + 6 + -1. Put 16\/7, -1\/4, 2, -2, u in descending order.\nAnswer: 16\/7, 2, u, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**8\/1344 - o**7\/280 + o**6\/480 + 7*o**5\/240 - o**3\/6 - 6*o**2. Suppose h(a) = 0. What is a?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -4, 6, -3, -299 in descending order.\nAnswer: 6, 2, -3, -4, -6, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 48*b**2 - 29*b + 9. Let j(d) = -d**2 + 5*d - 2. What is -5*j(v) - p(v)?\nAnswer: -43*v**2 + 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.035?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by -49.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2. Let y(g) = -g - 2. Let h(x) = -4*x - 9. Let f(i) = -2*h(i) + 9*y(i). Give f(k(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30113456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 + 6. Let t(v) = 1386*v**3 + v**2 - 1497. Let c(y) = k(y) - t(y). Find the first derivative of c(q) wrt q.\nAnswer: -4155*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q - 1. Let c = 15 + -14. Let o be l(c). Suppose 3*f = o*f - 5*g + 11, 2 = f - 4*g. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -v - 27, 0 = 3*k + 4*v - 0 - 6. Let f(w) = 0 + 0*w**2 - 9*w + 7 + 13*w - w**2 + 0*w**2. Calculate f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-52)\/(-12))\/(2236\/344))\/(4\/(312\/22)).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (5 + -1 - 2). Solve 0 = -4*z - 11 + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**5*w + 7759*l**4*w**3 - 2145*l**2*w**3 + l**2 - l*w**3 + 14*l wrt l.\nAnswer: 180*l**2*w + 186216*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4\/(c**2*c)*(c*c**(1\/9))**5 assuming c is positive.\nAnswer: c**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220011405 (base 6) to base 2.\nAnswer: -110101011001100101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2221659.\nAnswer: 3, 11, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -7 (b) 0 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 54660 + 1720 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 16. Suppose j + 15 = w*j. Let h = -10 + 18. Solve -j*t - h = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1154 - -51?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6))**(1\/39)*g**(-11\/3)*(((g**1\/g)\/g)\/g)\/g assuming g is positive.\nAnswer: g**(-266\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.13652, -1, 4, 9?\nAnswer: -0.13652","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2484 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*a**2 + 8*a**2 - 75*a**2 to j + m*a + g*a**2 and give g.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -15*r + 10*r - 4*k, -4*r - 11 = -5*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxsh when four letters picked without replacement from uuhxulsm.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 - 6*b + 6. Let k(y) = -5*y**2 - 12*y + 11. What is -4*k(z) + 7*r(z)?\nAnswer: -z**2 + 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8860939.92us to weeks.\nAnswer: 0.000014651025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*m**2 - 2440624*m + 697320 = 0. Calculate m.\nAnswer: 2\/7, 174330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -1\/5 (c) 3 (d) 3\/8 (e) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -26, 3, 59 in ascending order.\nAnswer: -26, -5, -3, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.5 and -0.1?\nAnswer: 2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 18*a + 243. Let n be c(-9). Solve n = 31*d - 207 + 52 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1 - 1 - 1 + 4 + 2 + 0 - 4 + (-3 + 0 + 2)*(1 + 3 - 3))*(72*d**3 - 13*d**2 + 13*d**2).\nAnswer: -288*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1011110 (base 2) to base 12\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from vgbrv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - 23. Let h = c + 70. Find the first derivative of 21 - h*s + 28*s - 4*s wrt s.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95387 divided by 5611.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3560 = -35*y - 3245. Suppose 2*w = -4*j + 38, -4*w - 3*j = -8*j - 11. Calculate the least common multiple of w and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 16\/15 of a minute?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/2299 + 158621\/11495. Let q = 14 - f. Which is the closest to 2\/11? (a) 2 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535361?\nAnswer: 3, 511787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/9 - 34*n**2\/9 + 182*n\/9 - 98\/3 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = -i. Calculate the highest common divisor of 5 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 5*d**2 - 4*d + 2. Let q be k(-4). Suppose -q*s + 26 + 62 = 0. What is the remainder when s is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-1 + -1 + 732\/372) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -259 - -260.404. Let v = n + -1.4. Round v to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, y: 3, j: 4, t: 6}. What is prob of sequence tc?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w*w**(1\/8)))**(-11\/2) assuming w is positive.\nAnswer: w**(11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286180 - 286179 - 62*w - 2*w**4 - 7*w**2 + 5*w + (3*w**3 + 3*w**3 - 3*w**3)*(3*w - w - 4*w) to the form c*w**4 + u + r*w**2 + y*w + x*w**3 and give y.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7751 - -7765. Solve -3*q + p*r - 9 = 17*r, -2*q - 9 = -r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3507b89 (base 12) to base 15.\nAnswer: d6bdec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjyjjjyjjjjyjm. Give prob of picking 2 j.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -11, 43, 149, 325, 589, 959, 1453?\n\"Answer: 3*u**3 - u**2 + 2*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 4*i**2 + 5*i - 3. Suppose -2*l + 3 + 0 = -5*v, 0 = l + 4*v - 8. Is 17 a factor of k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 + 301592*l = 0 for l.\nAnswer: 0, 75398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001003944 to 5 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -26*((-55)\/10 - -2). Calculate the greatest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 136 + 203?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17184563, 34369127, 51553691, 68738255, 85922819, 103107383?\n\"Answer: 17184564*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is -269915 <= -269913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27725125 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1020 divided by -6.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 2*m**2 - 3*m + 17. Let o be r(5). Let g = -59 + o. Calculate the highest common divisor of 72 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**2 + 238*j - 55. Calculate d(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.83 - 0.03. Let q be 3\/(3\/(-4)) + 600\/162. Let s = 17\/27 + q. Which is the nearest to -1? (a) 0.2 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(4*(-4)\/((-32)\/(-2)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**3 + 3*h**2 - 3. Let u(a) = -12*a**2 + 28*a**2 + 194 + 213 - 41*a**3 - 423 - 5*a**3. Calculate 16*s(l) - 3*u(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 1. Suppose 29*r + 9*r + 152 = 0. Let g(m) = 2*m. Calculate r*g(t) + 5*j(t).\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284 + 289. Which is the second biggest value? (a) 3 (b) 4 (c) f (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 138 - -5?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*v - 3, 3*n + 4*v = -0*n - 7. Suppose -5*q = -11 + 1. Suppose 0*g + 18 = q*g. What is the greatest common divisor of n and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*o - 93 = -s, 4*o = 0. What is the remainder when s is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5913.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-37422)\/(-17710) + 2\/23\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -322367992*r**3 - 347651454.\nAnswer: -967103976*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4428 and 33948?\nAnswer: 101844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + i)*(101*i - 61*i + 85*i) as k + w*i + h*i**2 and give h.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -54\/5, 0.2 in descending order.\nAnswer: 5, 0.2, -54\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1347722652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 4*s**2 + 5*s**2 - 20 + 21 - 10*s. Let w be b(7). Suppose -f - 2*f = 3*c, 0 = c + 5*f + w. Let z(j) = j**3 - j**2 - 3*j + 3. Give z(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by -9.\nAnswer: 169\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1572*l**2. Let j(q) = 91*q. Determine j(c(r)).\nAnswer: 143052*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5654 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 3)*(3*y + 4*y - 3*y)*(-3636 + 3636 - 281*y).\nAnswer: -1124*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3382*q**2 + 679. Let p(v) = 5072*v**2 + 1018. Let x(c) = 5*p(c) - 8*z(c). What is the first derivative of x(g) wrt g?\nAnswer: -3392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -979413, -979416, -979419, -979422, -979425, -979428?\nAnswer: -979431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y + 2*p, 5*p - 1 = -3*y. Suppose -m + 3*m - 4*w = 4, 4*m + 2*w = -y. Let n be 10\/48 + (-2)\/6. Which is greater: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 415*f + 11 + 12*f**2 - 27*f**2 + 17*f**2 - 165*f - 10 in the form u*f + h*f**2 + w and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 4 - 4)*(2*g - g + g) - g + 2*g + g)*(0*g**4 + 3*g**4 + g**4).\nAnswer: 24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1942919882968\/465 + 4178328583. Let i = m - 6254. Let y = -3\/31 - i. Is -1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -21. Suppose -y*z + 2 + 3 = p, 0 = -3*z + p + 9. Differentiate 0 + 1 - 3*l**2 + 4 - l**z with respect to l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13358439*i**4 - 6031*i - 84 wrt i?\nAnswer: 160301268*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*k + 2*k + s, s + 5 = -k. Let u be (4 + -2 - 3) + 5. Suppose -4 = 2*d + u*l, l + 1 = 3. Is k not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 23. Let w be b(-9). Let c(d) = -d + 3. Determine c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1144\/(-195))\/((-4)\/10). Which is bigger: 16 or u?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/15 and -17 + 21 - ((-244)\/(-30) - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 169094. Let l(m) = 2*m. Determine t(l(z)).\nAnswer: -4*z**2 - 169094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/141550 and -51\/113240.\nAnswer: 566200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 7. Suppose 0 = -2*y - 5*p + 4*p - 13, 0 = -y - p - 8. Let g(b) = 3*b**3 - 101*b**2 + 67*b - 34. Let a be g(33). Put f, 4, y, a in descending order.\nAnswer: 4, a, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**5\/120 + 47*m**3\/3 + 21. Let r(n) be the third derivative of s(n). Let o(d) = -3*d**2 + 5*d**2 - d**2. Determine r(o(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + -1*sqrt(117))*-1)\/sqrt(9))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 25 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -42*d**2 + 94*d**2 - 56*d**2. Let c(a) = -836*a**2. What is b(c(w))?\nAnswer: -2795584*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.9227 to 1 dp.\nAnswer: 19.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + g**2 + (0*g - 2*g + g)*(-1 - g + 1) + (-4*g**2 + 66*g - 66*g)*(5 - 3 - 4) - 2*g**2 - 3*g**2 + 3*g**2)*(2*g**2 - 4*g**2 - 3*g**2).\nAnswer: -40*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*m - 23*m = 30*m + 4320 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2978 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 = -8270*d + 8122*d - 742 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*k - 8330 + 6007 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 183533 = 2*b + 183512, 2*b = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11177, -11161, -11147, -11135, -11125, -11117, -11111?\nAnswer: -11107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 241175 = -5*y, -2*y + 31 = 25. What is q rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77)*-2 + (sqrt(77) - (sqrt(77)*1*-5 + sqrt(77) + sqrt(77) + sqrt(77))))\/((-1*(sqrt(132) - sqrt(132)*-2))\/sqrt(12)))**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 669*g**2. Let b(s) = -4*s. Give i(b(t)).\nAnswer: 10704*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65803892 or -65803890?\nAnswer: -65803890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.301 - 2.401. Let r be 0 - (-2)\/16*2. Which is the second biggest value? (a) -10 (b) r (c) p (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-58)\/(-4) + -13 - 1473\/900 and 49\/1200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281761481 minus -703?\nAnswer: -281760778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -12 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/5 - 688*m - 38400.\nAnswer: -4*(m + 60)*(m + 800)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -227327, -1818600, -6137773, -14548796, -28415619, -49102192, -77972465?\n\"Answer: -227325*u**3 + 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 164, 66, -184, -580, -1116, -1786?\n\"Answer: f**3 - 82*f**2 + 141*f + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4273\/5 less than 855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 615*b - 169*b + 375*b - 49260 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 544.6 and 2730.\nAnswer: 1486758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aykkykay. Give prob of sequence ykk.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1084344 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*t\/(t**11*t))\/t)\/t**(-15)*t**1*t\/((t**(-1)*t)\/t) assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjweweeewe. Give prob of picking 3 w and 1 e.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, y: 7}. What is prob of sequence yhyy?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 65630132 divided by 391\nAnswer: 167852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-21)\/2940*(-135)\/(-6).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 271508 = 3*q + 678773, -5*d + 4751405 = 4*q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:27 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*b - 162*b + 9 = -3*t + 12*t - 13*t, -2*t - 13 = -7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - w + 5. Let s(z) = -909*z**2 + 4*z - 10. Calculate -2*i(a) - s(a).\nAnswer: 913*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 2*m = -22*i, i - 2*m + 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*n + 5. List the prime factors of (9\/(-27))\/(1\/n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/36250 and -85\/1044.\nAnswer: 652500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 7*g + g)*(-2 + 0 + 4) - 3*g + 2*g - g + (-5 + 1 + 2)*(4*g + 2 - 2).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 4. Let k(i) = -17*i + 11. Let y(u) = -3*k(u) - 8*w(u). Let s(d) = d - 1. Determine 2*s(q) - y(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -341917, -4 in ascending order.\nAnswer: -341917, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -195470 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1786844 is divided by 162440.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4335, -4369, -4407, -4449, -4495, -4545, -4599?\n\"Answer: -2*n**2 - 28*n - 4305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 230025005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-4 - 7) - 0. Let d be (k - 15\/(-5))\/1. Let j(n) = 16*n**2 - 11*n - 11. Let s(r) = 3*r**2 - 2*r - 2. Determine d*s(t) + 2*j(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2985546777 to the power of 1\/2, to the nearest integer?\nAnswer: 54640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 244, 250, 256, 262, 268, 274?\n\"Answer: 6*u + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11 - 222*x - 223*x + 671*x - 224*x. Let k(r) = -4*r + 21. Determine 7*g(l) + 3*k(l).\nAnswer: 2*l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {z: 1, l: 5, w: 7}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74 or -82?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/2*(0 + 5\/(-5)). Suppose 2*r = -s + 5, x*r - 5*s + 3 = 2. Let j(c) = c + 12. Let b be j(-6). Solve b = -d - r*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -4353?\nAnswer: 4355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 - (21 - 17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k\/k**0))*k)**43*((k*k**1)\/k)**(2\/91) assuming k is positive.\nAnswer: k**(11741\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 33488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21672 divided by 1806?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28901108, 57802232, 86703356?\n\"Answer: 28901124*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1260*u**2 + 500*u**2 - 1013*u**2. Let c(b) = -2*b. Calculate t(c(m)).\nAnswer: -7092*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*y - 357*y + 2*y**3 + 170*y.\nAnswer: 2*y**3 - 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (-23 - -13)) + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 3*r**2 + 121 + 120 - 2*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.78 - 4.78. Let p = 1809\/7 + -258. Is h at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 + 194. Suppose 0*l - l = d, -2*a - 5*l - 15 = 0. Solve 0*t = -a*t - 25, -3*y - 4*t - 14 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.62676.\nAnswer: 0.62676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 2*c**2 + 4*c - 5. Suppose 3*s + 22 - 31 = 0. Let p be -2 + 6\/s - -2. Let u be j(p). Solve 4*n - u = a - 0, -3*a = -15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 28. Let h be (-165)\/(-88)*16\/(-2). Determine c(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1764, 1888, 2026, 2184, 2368, 2584, 2838?\nAnswer: 3136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23296125, -46592240, -69888355, -93184470, -116480585?\nAnswer: -139776700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = -0*a. What is the least common multiple of 9 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -9, 1, -2 in decreasing order.\nAnswer: 5, 1, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.052725 + 0.73841\nAnswer: 0.791135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.1, -4, -0.8, 4342 in descending order.\nAnswer: 4342, 2\/3, -0.1, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1155 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54108207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/15504 and 53\/8?\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646463205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 9*j**2\/2 - 32*j + 42.\nAnswer: (j - 3)*(j - 2)*(j + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12)*x*x**(15\/2)*x*x*(((x\/x**(-4\/5))\/x*x)\/x)\/(x*x\/(x\/(x**(-5\/4)*x))) assuming x is positive.\nAnswer: x**(-29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a. Let b(g) = 11*g. Let s(f) = -5*b(f) - 8*x(f). Suppose 0*z + 7 = z - 2*h, z - 4*h = 11. Suppose -z*i - 1 = -2*i. Calculate s(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 297.2 - 53.2. Let i = q + -244.2. Let v = 0.05 + -3.05. Which is the closest to 0.1? (a) i (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(5\/7))\/(a**23\/a*a))\/(a**(-40)*a**(-4\/3)) assuming a is positive.\nAnswer: a**(421\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y**3 - y**2 + y - 2. Let m be i(-2). Let n = -444\/5 - m. Which is the closest to 2? (a) 2\/13 (b) -2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 27*c**2 + 60*c - 300. Give s(-30).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 9*o**2 + 6*o**3 - 1 + 9*o**2.\nAnswer: 3*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452544816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) 6 (c) -3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 104, -10.\nAnswer: -10, 13, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159005708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/144*4)\/((-4)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u = -44*u + 108. What is the greatest common factor of u and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*r + 55, -5*y + 0*r + 4*r = -313. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114*v**2 - 12*v**3 - 14*v**3 + 17*v**3 - 108*v - 54*v**2 + 26 + 22.\nAnswer: -3*(v - 4)*(v - 2)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36948 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 250 - 1499\/6. Which is the closest to 4\/9? (a) -1 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqku when four letters picked without replacement from {u: 5, f: 4, y: 4, s: 1, k: 3, q: 1}.\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -845\/176 + 15\/11. Let z be 520\/9 + (-4)\/(-18). Calculate the common denominator of z\/(-60)*9\/6 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -137, -228, -365, -554, -801, -1112, -1493?\nAnswer: -1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -4 - (11 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 65*n**2 - 244*n + 88. Calculate the remainder when b(61) is divided by 48 - (-4 - -2) - 3.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.407 and 12.\nAnswer: 11.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 46*r - 1 - 88*r + 39*r. Suppose 17*p - 26 = 4*p. Suppose -3*t = -p*q + 5, -2*t - 4 + 2 = -q. Determine o(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -973, -2992, -6853, -13174, -22573?\nAnswer: -35668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**6\/360 - h**5\/60 + h**4\/6 - 8*h**3\/3 - 5. Let q(z) be the third derivative of c(z). Determine q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 1. Suppose -w - 20 = -a*w. Suppose 0 = w*g - s - 83, 27 = g - s + 2*s. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/13 or 22\/7?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 5*n - n. Suppose 15*t = 4*t - 374. Let c = n - t. Solve -6*b + b = -4*y - 8, 3*b = -3*y - c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22155310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000044214607 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1721675, -11, 3 in increasing order.\nAnswer: -1721675, -11, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2. Let u(r) be the second derivative of r**3\/3 - 9*r. Determine u(a(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -109393840, 2\/9?\nAnswer: -109393840","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202.4274 millilitres to litres.\nAnswer: 0.2024274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 164*v.\nAnswer: -2*v*(v + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 3\/27*-21 - (-2 - -3). Which is greater: 3303 or k?\nAnswer: 3303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-68))\/(13\/(-26)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 73 = -11. Let v be ((-6)\/(-2))\/(-2 - q\/(-6)). Solve -3*l - 10 = v*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63624\/(-34463))\/((-2)\/52).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 1:40 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13827 divided by -1257?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -6*v + 116. Is (v\/8)\/((-1)\/(-8)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8*u - 13*u + 26 = 0, -u + 7 = j. Calculate the least common multiple of j and 2925.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - l + 3, 0 = 5*u + 4*l - 12. Suppose u*c = -3*c + 18. Calculate the lowest common multiple of 14 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2144 - 2098. Calculate the remainder when 588 is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 5*h**4\/6 + 11*h**3\/6 + 87*h**2\/2 + 423*h. Differentiate f(v) with respect to v.\nAnswer: 20*v + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7635 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78994 + 11*m + 157870 - 78876.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1950300 and 3510540.\nAnswer: 17552700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8854 and 9263.\nAnswer: -82014602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(7\/(-21))*(-1)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17679, 35236, 52685, 70026, 87259, 104384?\nAnswer: 121401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 262*w - 266*w - g, -4*w + 5*g = -24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*a**3*d + 1119*a**3 + 8*a**2*d - 2*a**2 + 34*a*d - 1665*a - 2*d wrt a?\nAnswer: -138*a*d + 6714*a + 16*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7969335 + -95477917\/12. Let g = s - 12832. Find the common denominator of g and 93\/98.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -110, -229, -386, -575?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 smaller than -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1328965927 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159745, -319496, -479247, -638998, -798749, -958500?\nAnswer: -1118251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.4, -4581460 in descending order.\nAnswer: -0.2, -0.4, -4581460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34938 and 10?\nAnswer: -349380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 775 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -265790 to the nearest one thousand.\nAnswer: -266000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, 2\/17, 2730 in decreasing order.\nAnswer: 2730, 0.4, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, s: 5}. What is prob of sequence fsss?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -40 (b) -0.2 (c) 0.21 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 3. Let o be v(0). Suppose 0 = o*z - 4*z. Suppose -u + 108 = 3*s, 3*s + 3*u - 8*u - 126 = z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2df + d?\nAnswer: 2ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*w - 3*w**2 - 363*w - w**3 - 1 + 112*w + 7*w**2 + 2*w**3 to the form n*w + g*w**2 + r*w**3 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -4*n**3\/3 + n + 2. Suppose 5*s + 19 + 5 = -x, x - 21 = 4*s. What is z(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 13*u - 23*u + (-1 + 1 + u)*(-3 - 3 + 4))*(-2 + 0 + 1)*(-1 - u + 1).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:10 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00667096383 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.052*5.9\nAnswer: -18.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**41*(z*z**(1\/6)*z)\/z*z*z\/(z\/(z*z**(-4))) assuming z is positive.\nAnswer: z**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2228824 or 2228820?\nAnswer: 2228824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*u = 10, i - 2*u = -2 + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11571571 to the nearest integer?\nAnswer: 3402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128986737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + -1 + sqrt(176)\/sqrt(4)*-6 + 5)*-2.\nAnswer: 10 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5\/t*t**(2\/9)\/t*(t**1)**1*(t**1*t**(-1\/3))\/(t**(1\/2))**(5\/9) assuming t is positive.\nAnswer: t**(83\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4 + 2)*2. Let f(z) = -1 + 3 + 10*z**2 - 4 - 11*z**2 + 4*z. Give f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4614*o**3*u**2 + o**3 - 2827*o**2 - 2*u**2 - 2 wrt u.\nAnswer: 9228*o**3*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 b when three letters picked without replacement from bbbvzbznznblzzz.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - -6*(sqrt(125) - sqrt(125)*-1 - sqrt(125))) + -4 - (-3 + -3 + sqrt(5) + -4 + sqrt(5) + -2))**2.\nAnswer: 528*sqrt(5) + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -5*v - 8*f - 175, 2*v - 602 = 3*v - f - 630 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6783 + 12533. What is d rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 2 + 26 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 275669432 to the power of 1\/3, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5319773800 rounded to the nearest 1000000?\nAnswer: -5320000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*i - 303 + 80 = 77. Solve 3*f = i*z, 1 = -3*f + 5*z + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + 647. What is the third derivative of b*w - 1351*w + 33*w**4 + 677*w + 65*w**4 + 38*w**2 wrt w?\nAnswer: 2352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-1\/5)*k)\/k)\/k**(3\/5))**10 assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 555*x + 3*x**2 + 0 + x**4 + x**3 + 555*x - 1111*x + 0 to the form s + r*x**2 + k*x + q*x**3 + h*x**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/5, 0.4, 108?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.358 - -14491554.\nAnswer: 14491554.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i**2 + 508*i + 179. Let v(x) = -7*x**2 + 381*x + 134. Let w(q) = 8*h(q) - 11*v(q). Calculate w(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24033278.\nAnswer: 2, 613, 19603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) 4 (c) -2 (d) -77\/12 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120444 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25253469 is divided by 209?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1)\/(-2)) - -18. Let w be -53*3*(-1 + 0). Let u = w + -95. What is the highest common factor of k and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*y**2*z**2 - 84972*y**2 - 2*y*z**2 + y - 1777*z**3 with respect to z.\nAnswer: 18*y**2*z - 4*y*z - 5331*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3146 and 242?\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 29*x - 24*x - 3 = 0, 2*n + x = 3. Suppose -798 = 5*u - n*l - 4341, -l + 2824 = 4*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**7\/126 + 11*x**6\/90 + 2*x**5\/5 - x**4 + x + 34. Factor i(u).\nAnswer: u**2*(u - 1)*(u + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 723?\nAnswer: 2892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6822 + 307118\/45. Let g = -697\/90 + l. Let m = -6\/407 - 7296\/2035. Calculate the common denominator of m and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23.18 and -2.\nAnswer: 46.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/5*(-1 - -142). Let v = 218 + c. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -958*u - 955*u + 3394*u + 1 - 1 - 1486*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -14*v + 12*v, 2*x - 3*v - 26 = 0. Suppose 3*m = m + 6. Suppose -p = -x + m. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llggllggllgg. What is prob of picking 4 l?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 20*z**2 + 2*z + 42. Let i be n(-20). Sort 5, 100\/3, i, 1 in descending order.\nAnswer: 100\/3, 5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/6 greater than -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 628612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (5 - 5) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/66*6\/20. Which is the second biggest value? (a) -37 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y - 22. Let k be g(5). Solve -2*l = -5*z + l + 30, 0 = k*z + 3*l + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 210*c**2. Let d(p) = -19*p**2. Determine x(d(m)).\nAnswer: 75810*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 0*b**4 + 4*b**4 - 2*b**4 + b**4 - b**4 + (2*b**4 + b**4 - b**4)*(1 + 1 + 0) - b**4 + 4*b**3 - 4*b**3)*(-3*b + 4*b - 5*b).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 6*p**4 - 3*p**4 - 8*p + 8*p + 4*p**4 + (-p**2 - 2*p + 2*p)*(-3*p**2 + p**2 + p**2) + 0 + 2*p**4 + 0 + 2 + p**4 - 2.\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*i**2*n*s - 155*i**2*n - 2*i - 3*n*s - 40*n - 15*s with respect to i.\nAnswer: -16*i*n*s - 310*i*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -6b28?\nAnswer: 6b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z + 4. Let m be 2 + 1*15\/(-4). Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599951016 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 12. Let d = -14.7 - -8. Let v = j + d. Put -4, 1, v in decreasing order.\nAnswer: 1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 6:11 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u - 4*u + 3 + 24*u - u**2)*(-12 - 2 + 6)*(4*u**3 + u - u).\nAnswer: 32*u**5 - 288*u**4 - 96*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*p + 7, -20 = -15*z + 11*z - 2*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2 + -1)*253*410\/(-14145).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 2*l**2 - l. Let c be z(-3). Let r be 6\/9 + (-26)\/c. What is the second derivative of 2*a + 12*a**3 + a**r - 12*a**3 wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15\/4)*m**(-4) assuming m is positive.\nAnswer: m**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1694 and 14293125?\nAnswer: 28586250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-42))\/(1150\/805)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 + 65*n**2 - 25*n - 521. Determine z(21).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x. Suppose 0 = q - 0*q + 13. Let b = q - -15. Let c(a) = -5*a**b - 4*a**2 + 4*a**2. What is m(c(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**9\/378 - r**6\/90 + r**3\/3 + 5. Let q(a) be the third derivative of t(a). What is the third derivative of q(p) wrt p?\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (445\/(-76) - (-2)\/19)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22630 and 664640.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 - 123. Let p(f) = 2 + 5*f - f**3 - 5 - d*f**2 - 7*f - 2*f. What is the remainder when 65 is divided by p(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*h - 9 + 50*h - 3 - 1 wrt h.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252330 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r - r)*(2*r**4 - 11*r**4 - 5*r**4) + r**2 - r**2 + r**5.\nAnswer: -27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.041 - -384164927.\nAnswer: 384164926.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 4*p**2 - p - 3. What are the prime factors of h(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15870 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2121 (base 4) to base 13\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 5*w**2 + 6*w + 5. Let s be y(6). Suppose 3*g = -s + 59. Calculate the remainder when (-976)\/(-28) + (-2)\/(-14) is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by 990310.\nAnswer: -31\/198062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/1)\/(-3))\/(12\/108).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 767206291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:24 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/803307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-28 - (20 + -34 - -4))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00136981 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-1))\/15)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 18 + -19 - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*q = -9*d + 1335, 0 = 3*q - 15. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 10) to base 16\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 96\/28 - 6\/14. Let l(t) be the third derivative of -p*t**2 + 0*t + 0*t**4 - 1\/60*t**5 + 0 + 5\/6*t**3. Determine l(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -799538 - 16100462. Round u to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 34716*v**2 + 6568965*v - 311597150.\nAnswer: (v - 34526)*(v - 95)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137518731?\nAnswer: 3, 7, 1103, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.433868124 rounded to 2 decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*4 - 1. Let s be 12\/(3 + v) + 1977. Round s to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 196268 divided by -1412\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 + 6. Let t(p) = -4*p**2 - 5. Let k = -8 - -9. Let f = k - -5. What is f*t(i) + 5*g(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2816243?\nAnswer: 2816243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3588\/(-24) + 1\/(-2). Let d = -134 - h. Suppose 9*p + d = 13*p. Solve 6 = p*a - a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + (-9)\/28. Let i be (-169)\/(-455) - 6\/(-14). Which is the third biggest value? (a) d (b) 2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194767\/9 - 21641. Suppose f + 10 = -0*f. Which is the second biggest value? (a) g (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 6*i**2 - 19*i + 80. Let d be p(3). Sort 2, d, 3, 13 in decreasing order.\nAnswer: 13, 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:24 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62395973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/4 - 17*y + 3. Let g(j) be the first derivative of q(j). Let b(z) = z. Calculate b(g(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 642 - 651.075. Let v = x + 9. Let l = v - -0.06758. Round l to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -4*s. Suppose -4 = s*a + 5*j, -a + 6*a - 5*j - 20 = 0. Factor -1\/2*n**4 - 1\/4*n**5 + 0 + 3\/4*n**3 + n**a - n.\nAnswer: -n*(n - 1)**2*(n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0, 2, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k + 31*k - 135 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*a - 5*q, 6*a = 2*a + 2*q + 38. Let n = a - -7. Calculate the remainder when n is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6 - 212*h**4 - 272*h**4 - 94*h - 2*h**2 + 709*h**4 wrt h?\nAnswer: -120*h**3 + 5400*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3 - 461444*g**2 - 11998558*g - 77992824 = 0?\nAnswer: -13, 230748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*m = -1053*m + 328 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6873929632 to the power of 1\/3, to the nearest integer?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c + 330 = -41*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 20*r - 8. Let j(u) = -37*u + 15. What is 4*j(z) + 7*o(z)?\nAnswer: -8*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)*t*t*t)\/((t\/(t\/t**(-5\/2)))\/t))\/(t**(2\/11)*t**(1\/2)) assuming t is positive.\nAnswer: t**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 21*d**3 + 6*d**2 + 151*d + 2. Let p(a) = 19*a**3 + 6*a**2 + 152*a + 1. Let s(v) = 3*c(v) - 4*p(v). Find the second derivative of s(j) wrt j.\nAnswer: -78*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:14 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -0.2.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpne when four letters picked without replacement from {n: 3, h: 3, g: 6, e: 1, p: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2083.32556 to 1 dp.\nAnswer: -2083.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 n when three letters picked without replacement from {f: 2, e: 4, n: 1, h: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 107 + 563. Let d = n - -39. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/24 - -12)\/((-4)\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03798 + -2.\nAnswer: -1.96202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 19. Suppose 27 = 4*h - 5*b - 132, b - 33 = -h. What is the remainder when h is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62929.1 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.792 or -46\/63?\nAnswer: -9.792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10245*k + 1098. What are the prime factors of m(-5)?\nAnswer: 3, 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7540 rounded to the nearest one hundred?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3121 - -28117\/9. Is 4 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 5*r - 9. Let x = -13 - -41. Suppose -x = o + 3*o. Let d be v(o). Sort 4, d, -0.3 in decreasing order.\nAnswer: d, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2212?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34927 and 805957.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256284 by 1394.\nAnswer: 128142\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 576 - 323. Let y be (-2 + 4)*d\/22. Suppose 4*q - 2*r = 22, 5*r = 3*q - q - y. Let p(z) = z. Calculate p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -25*d - 2. Let h(a) = a**2 - a - 1. Let y(w) = 7*w**2 - 8*w - 6. Let q(i) = -6*h(i) + y(i). Let g be q(1). Does 14 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 + 18*h**2 + 8*h**2.\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m - 2. Let t(y) be the first derivative of -7*y**2\/2 + 4*y - 5. Let d(i) = -2*t(i) - 5*x(i). Let v be 0\/(-3)*3\/(-6). Calculate d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3883776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 885 divided by -18.\nAnswer: -295\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*y + 4, -3*g = -0*g - 2*y - 21. Suppose 0 = 2*x - 3*x - 5*a + 129, -3*a + 689 = g*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)*d\/(d**1*d)*(d**(-1))**(-21)*(d**(-3)*(((d*d**(1\/5))\/d)\/d)\/d)\/(d**(-2\/7)*d)**(2\/7) assuming d is positive.\nAnswer: d**(10532\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 880*l**2 + 4*l + 880.\nAnswer: -4*(l - 1)*(l + 1)*(l + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-7\/2))\/(d**(-11)\/d))\/(d*d**13\/d*d*(d\/d**(-10))\/d) assuming d is positive.\nAnswer: d**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-40)*20*(-12)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46946.\nAnswer: 2, 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -16*l + 20*l + 26, -5*l + 17 = -f. Put -1, f, 0 in increasing order.\nAnswer: f, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2554\/11 + -232. Factor -c - 10\/11*b - 8\/11*b**2.\nAnswer: -2*(b + 1)*(4*b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3221361.65 times -4?\nAnswer: 12885446.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssygcccsug. What is prob of picking 1 s and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -4 + 2 - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 2*n - 594. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 15419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -29 - (-1 + (13 - 13)). Let w be (-2)\/(-1) + -2 + 79. Let f = g + w. Calculate the highest common factor of f and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2744568, 2744571, 2744574?\n\"Answer: 3*a + 2744565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, -2, -24, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (5 - 0 - (-161 + 161))) + -34.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1 less than -1526842560?\nAnswer: -1526842552.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3.4, -1\/5, -5010, 4.\nAnswer: -5010, -3.4, -1\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 37, 65, 93?\n\"Answer: 28*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12270 - 4118. Suppose 0 = -y + 5*f + 3347, -y - 3*f + 3353 = -2*f. Let l = y - w. Round l to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 2*y**4 - y**3 + (3230763 - 2297*y**3 - 3230763)*(-1 - y + 1) to z*y**2 + w*y + m*y**3 + f*y**4 + l and give f.\nAnswer: 2299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 2*sqrt(50) - (-1 + sqrt(2) + 4)) + 2.\nAnswer: -10*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y - 1. Let d be m(-1). Let p be 372\/d - (-1 + -1). Let o = -7 + p. Calculate the remainder when o is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, -1, 3 in increasing order.\nAnswer: -1, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -23*l + 43*l + 672 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164365787 and 3229.\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-189)\/4 + (-2)\/(-8). Suppose 5*z - 492 = -2*m, z - 5*m - 25 - 68 = 0. Let y = p + z. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1500 is divided by 742?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -4, -899, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 13, o: 5}. Give prob of picking 1 o and 2 z.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93018 - 3879*b + 93018)*(-10 + 1 + 2*b - 3*b).\nAnswer: 3879*b**2 + 34911*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 31*d**2 + 4*d + 5. Let o be c(6). Suppose 0 = 5*j - 1115 - o. List the prime factors of j.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 5*u + 7*u)*(-u**2 + 11*u**2 + u**2).\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 1 - 13. Suppose g - 10 = d*g. Let n(z) = 13*z - 67. Let j be n(5). What is the third smallest value in -1, g, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-155)\/(-93))\/((-5)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m + 49 + 13*m - 51.\nAnswer: -7*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533067.\nAnswer: 3, 137, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1805 and 665.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5336*l - 5346*l = -118, -4*s + l + 63 = 0 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19963683.\nAnswer: 3, 37, 59951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*v + 17460 = 5468*v + 444482 for v.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 624781813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 67711 (base 8) to base 10\nAnswer: 28617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24\/13 (b) -4 (c) 5 (d) -19\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/5 - (-2 - -3)*-3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/309 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 3. Let d = -23 + 16. Let q(f) = -f**2 - 6*f + 2. Let k be q(d). List the prime factors of c(k).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:52 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134267 + 19065?\nAnswer: 19064.865733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 4*r + 2. Let h = -7 + 11. Let m be s(h). Suppose -4*g = -m*g - 18. Calculate the highest common factor of g and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 63677657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -89 + 2 + -3 + 1. Let u = 89 + n. Solve 0 = -f - u*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 311*y - 309*y = 2, r - 13 = -4*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 8:22 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-40)\/720).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/6, 2\/47, -4\/13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 8:41 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 4:07 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/(-90) + 5384\/10. What is the greatest common factor of 22 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-108)\/21)\/((-12)\/(-56)). What is the common denominator of -1 + 146\/12 + 0 and (-7)\/(-21) - (-98)\/h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4664\/5537?\nAnswer: 4664\/5537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 0?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.51 + 27.51021479. What is w rounded to six decimal places?\nAnswer: 0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39156? (a) 3 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/7)*y**21*(((y**19*y)\/y*y)\/y)\/y*y\/(y\/y**39))**(-2\/5) assuming y is positive.\nAnswer: y**(-1094\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-26) - -1*(-29)\/3*(-294)\/196?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 12 = -4*g, 51 = 4*q - g + 43 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**3 + 7*c**2 - 12. Suppose 0 = -5*y + u + u, 5*y + 5 = u. Let g(r) = 66*r**3 - 90*r**2 + 156. Let q(i) = y*g(i) - 27*m(i). Factor q(f).\nAnswer: 3*(f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 652172 + -30?\nAnswer: 652142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8973*g - 422725 = -1248241 for g.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 154597663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1047 (base 9) to base 13\nAnswer: -475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b + 5. Let z(w) = 4*w - 3. Let c(n) = 3*m(n) + 5*z(n). Let s(q) be the third derivative of q**4\/4 + 27*q**2. Determine s(c(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001843 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 126, 194, 260, 324, 386, 446?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 90 = -5*a, -47 = -5*j - 2*a + 37. Suppose -2*n = -j + 12. Let t(y) = n*y**2 - 4*y + 5*y - y. Let u(f) = 32*f**2. What is t(u(x))?\nAnswer: 2048*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30732, 37377, 44022, 50667?\nAnswer: 57312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + (-2 - (-6 + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112583553949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-23)\/(414\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 0. Let k be (-4)\/z - 22\/99. Which is the nearest to k? (a) 3 (b) 1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n + 2. What is the least common multiple of n and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 19 = -17. Is (-50)\/3*d\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4464 and 288?\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24174\/34*(-1)\/1. Round y to the nearest 10.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7*(-21)\/49)\/((-2)\/346). Let d = g + 518. Put d, -2, 7 in descending order.\nAnswer: 7, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d - 2*j = -98, -2*j = -3*d + 157. Calculate the remainder when d is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 775935, 1551845, 2327755, 3103665?\n\"Answer: 775910*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 3 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 18. Is 573\/(z + 3)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4. Let x(o) = -54*o**3 + o**2 + o. Let c be x(j). Suppose -3*g + g + 4*f = -c, 5*g - 3*f - 135 = 0. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggegeeggeggccgggee. What is prob of sequence ecge?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**2 + b + 1\/12*b**4 - 1\/3*b**3 + 0. Let s = 6 - 8. Calculate a(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 16*i**2 + 7*i - 11. Let x be d(-5). Suppose 5*n = 2*y - 1188, y + 4*n - 240 - x = 0. Calculate the greatest common divisor of y and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1784582 to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d = 45 - 130 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvuuuuuuuuvuvuuvuvuu. Give prob of picking 4 u.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33262 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-12))\/(259\/126 + -2). Let r = -2 + 1. Let w(y) = -7*y + 7. Let s(k) = -3 + k + 1 + 3 - 2. Give r*w(a) + u*s(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n + 10 = -64*n + 31*n, -3*p + 16 = -5*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 2, 0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, w: 2, d: 3, y: 2}. Give prob of picking 1 y and 2 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -45. Is -19 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 19, h: 1}. Give prob of picking 1 h and 3 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 154584 divided by 171\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -1 (b) -3 (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:49 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from {k: 3, f: 2, w: 12}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1802 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 7) in base 6?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8183*h**2 - 11 + 4094*h**2 + 53*h - 60*h + 4087*h**2.\nAnswer: -2*h**2 - 7*h - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 59*r - 61*r = 10, -4 = 4*r. Let n(k) = k**3 + 3*k**2 - 3*k + 5. Let a be n(-4). Put 6, -3, a, w in decreasing order.\nAnswer: 6, a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/7 - 86276*v\/7.\nAnswer: -4*v*(v + 21569)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -169*a + 29537. Give r(175).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 532\/7*3841\/12692.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -275*z - 1039. Let y be q(-6). What is the greatest common factor of y and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = -3*c + 3, -15 = -3*o + 2*c. Suppose 4*q - 252 = -o*q. Suppose -x + 3 = -z - 2*z, 6 = x - 2*z. What is the highest common factor of x and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67585905 and 720.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*y + 7 - 1 = 284*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18051*q**3 + 10*q**2 + 2*q - 20. Let h be n(10). Round h to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -71. Let j = f + 24. Let t = j - 34. What is the nearest to -0.24 in 0.5, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 0.4, 2\/1167, -5, -0.1, 2, 2\/203?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/7))\/p*p)\/(p**(-1\/3)\/p*p)*p**0\/(p*p*p\/(p*p*p**2*p)) assuming p is positive.\nAnswer: p**(67\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/6)\/(27\/3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 4. Let a(d) = 2*d + 9. Suppose -36*w + 30 = -114. Determine w*a(o) + 10*j(o).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1104\/54)\/23*(-5)\/40*-2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 49 = h, -3*c + 2*h = -h - 39. Let o = -13 + 18. Suppose o*u = 2*l + 23, -3*l - 4*u = -l - 22. What is the lowest common multiple of l and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (7 - (-3 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 1. Let d(f) = -4*f**2 + 18*f - 10. Suppose 0 = -2*i + i + 4. Let s be d(i). Determine k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 + 108 - 100 + 3*o**2. Give p(6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 4, s: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33376152.3 rounded to the nearest 100000?\nAnswer: 33400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/27))\/i**29*(i**(-14))**22 assuming i is positive.\nAnswer: i**(-9074\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112165507, 224331015, 336496523, 448662031?\nAnswer: 560827539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-1 - -5 - (-1 + 1). Let n = -2 - -1.8. Let a = n + -0.3. What is the second biggest value in 1, a, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/3)\/(2\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51935\/6 - -8631. Calculate the common denominator of q and -44\/93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63372431.\nAnswer: 59, 1074109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3 - 3*u - 5 + (-2 + 3 + 1)*(-u - 2 + 2) + 0*u + u - 4*u)*((1 + 0 - 2)*(-2*u + 3*u - 6*u) + 7 - 7 + u).\nAnswer: -54*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 13882.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 36*p - 4. Let u be r(-22). Suppose 2*m = 2*z + 89 + 215, m + 4*z = u. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072 times -0.08?\nAnswer: -85.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/(24\/(-448)) + -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-3825))\/((-1)\/27)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/2))**(5\/2)\/(((n\/(n\/(n*n**7)*n))\/n)\/n**(-2\/25)) assuming n is positive.\nAnswer: n**(-983\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 439*i + 11199. What is k(24)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1336557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -172043 >= -688171\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -2) + -1 + -16. Let l = -12 - s. Suppose 650 = -5*c - 2*k, -5*k - 665 = l*c - 0*k. Round c to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 11*u - 3. Let t be c(11). Let x(f) = 2*f**3 - f**2 - 4*f. Let w be x(t). Let p = 29 + w. Round p to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f + 17*f - 60236 - 21904 = 0. Calculate the remainder when f is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-26)*j*j\/(j**24\/j)*j assuming j is positive.\nAnswer: j**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjbb when four letters picked without replacement from jbbbbxbbjjbbbbjbbj?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8291 or 8284?\nAnswer: 8284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -209*o**3\/6 + 128*o**2 + 2*o - 12. What is the first derivative of x(b) wrt b?\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-18))\/((-14)\/4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1103?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/11 and 47\/8481?\nAnswer: 8481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13249?\nAnswer: 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -98121*c**2. Let z(b) = 14*b**2. What is a(z(t))?\nAnswer: -19231716*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3071371872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 145 + -288b78?\nAnswer: -288a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 28*j - 110. Let x be v(4). Suppose -3*b - x*z = -13, 11*b - 10*b + 3*z - 9 = 0. Solve f + b*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2779868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 9:13 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, -1\/4, 6\/71, -14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30 + 58 + f**6 - 28 - 7*f**2 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let q(c) be the first derivative of -c**2\/2 - 45. Determine -l(h) + 6*q(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4 - 112476*x**3 + 1581018850*x**2 + 9489600168*x + 7908468840 = 0.\nAnswer: -5, -1, 28122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - r + 274. Let n = -874 - -874. Does 16 divide h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -314*y**2 + 1881*y + 17. What is p(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b0b8 (base 16) to base 12.\nAnswer: 54134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214\/111 + -59\/37. Let j be 2\/20 - 4\/(-10). What is q in j*q + r + 1\/6*q**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4550 is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*q**3*w**3 - 3*b*q**3*w**2 - 3085*b*q*w**3 - 1185*b*q*w wrt w.\nAnswer: -12*b*q**3 - 18510*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*p**3 - 5*p**2 + 5*p**2 + 0*p**2 - 53*p**3 + 61*p to u*p + i*p**2 + c*p**3 + n and give u.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 16*w - 16. Suppose 3*l = w*a - 15, 2*a - 8*l = -5*l + 9. Solve 0 = a*m - 2*k + 7, -2*k - 18 = 5*m - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3093360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12*r**2 + 9*r. Let d(f) = 6*f**2 + 5*f. Let o(a) = 9*d(a) - 5*l(a). Let v(y) = -5*y**2. Give v(o(h)).\nAnswer: -180*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 183. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(-4 + (1 + sqrt(363) - sqrt(363) - sqrt(363)) - (sqrt(363) - (sqrt(363) - ((sqrt(363) - (sqrt(363) + 1)) + 1))))*-2*2.\nAnswer: -1584*sqrt(3) - 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 57042390*o + 25*o**2 + 57042390*o - 53*o**2 + 2.\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = p + 2*p - 71, q = -3*p + 61. Calculate the remainder when p is divided by ((-10)\/30)\/((-3)\/72).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -5*s**2 + 32*s + 11617. Give i(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 14*f**2 - 37*f + 186. What is z(12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*y - 2*y. Suppose 0 = -3*n + n + 2. Suppose -3 - n = 2*f. Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*g**2 - 36*g**2 - 1 + 2*g + 3*g**4 + 21*g**2 in the form k*g**2 + r*g**4 + i*g**3 + x + l*g and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 880279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319125 and 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/375*(-3)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hathkxtauah. What is prob of sequence hxhu?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let i(h) = -h - x - 1 - h - 1. Determine i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 589436515 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*c*d**5 - c*d**2 + 18983*c*d + 1486*d**6 wrt d?\nAnswer: 3300*c*d**2 + 178320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*r + 8*r + 85, c - 23 = 3*r. Let q be 8\/20 - -2*8\/10. Let m be -1 + (-1 - 0 - -6). Solve m*f + c = -v, -3*f - q*f + 2*v = 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*88\/1364*(-150)\/12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749539.\nAnswer: 7, 107077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*t - 83, 0 = 20*t - 24*t - 5*c + 58. Let d = 9.8 + -10. Sort d, 4, t in descending order.\nAnswer: t, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2\/4 - 57*p - 645 = 0.\nAnswer: -10, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - sqrt(114)*-1*6)\/(-5*-2*sqrt(6)).\nAnswer: 7*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11614 (base 12) in base 7?\nAnswer: 125026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9435 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: What is 55c6cd (base 14) in base 8?\nAnswer: 13076235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -348 minus 312942?\nAnswer: -313290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208 - -419\/2. Which is the closest to -0.1? (a) 1 (b) -1\/2 (c) -1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 12:22 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2635*u + 65160 = -2623*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1208077 divided by 67\nAnswer: 18031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(3\/(15\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 5:04 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/2 + q**3 - 27*q**2. Let a be b(4). Let t = -52 + a. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**2 + 7*j + 1. What is q(3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-192)\/(-84) - 12\/4. Put 2\/11, 0.035, 0.1, o in decreasing order.\nAnswer: o, 2\/11, 0.1, 0.035","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 106092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:41 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.37 and -0.1227396.\nAnswer: -0.045413652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4675375, -9350747, -14026119?\nAnswer: -18701491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1173 = 4*x, 22*x = 26*x + g - 1185. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -3*g**7\/280 - g**5\/60 + g**4\/24 - g**3 + 2. Let u(l) be the third derivative of i(l). Give u(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from uxluqqppn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32608764779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k + 118. List the prime factors of d(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 - -0.3. Let k = z + 0.13. Let g = 0.09 + k. Is g smaller than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3481444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26576 + 1?\nAnswer: -26575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*c + 66*c**2 + 0*c**4 - 4*c**3 - 68*c**2 - 18*c + 2*c**4 + 2 to the form d*c**3 + a + u*c**2 + h*c + z*c**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(130) + 2*sqrt(130) + sqrt(130)) + sqrt(130))\/sqrt(10) - ((-1*sqrt(117))**2 + ((sqrt(13) + -1)*5 + sqrt(13) + sqrt(13))**2).\nAnswer: -779 + 59*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 101 (b) -7 (c) 4\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + -3) + (sqrt(44)*-3 - sqrt(11)).\nAnswer: -15 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*r + 2*r - 64 = 0, r - 61 = -2*g. Suppose m = g - 3. What are the prime factors of (m\/(-35))\/(4\/(-110))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2. Let i(z) = 3*z + 3568. Calculate m(i(k)).\nAnswer: 27*k**2 + 64224*k + 38191872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -429\/5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (7 - 10 - 0 - (-2 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1313 + -1303. What is the smallest common multiple of 140 and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1272592 divided by 36\nAnswer: -318148\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = f + 5, 39809*k - 39813*k + 20 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -35 + 19 - 4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 31092109?\nAnswer: -31092109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfeffvfffefff. Give prob of picking 2 e and 2 f.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (107 - 67)) + -59?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5\/(-255)*2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 1, g: 5, k: 2, q: 3}. What is prob of sequence qqx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 51113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 542727 or 37?\nAnswer: 542727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13\/21 - -2\/7. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 307*p**2 + 1124*p + 5. What is s(-4)?\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/12*4 - -1*10169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.110646 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/63 + (-164)\/(-14). Let q(a) = f*a + 3 - 4 - 8 - a**2 - 1. What are the prime factors of q(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2543861465.\nAnswer: 5, 983, 517571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + -11 - (-84 - -148 - 132).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15888 by 53.\nAnswer: 15888\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1284)\/3 - -3) + 16\/4. Is -421 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 - 2*b - 2*b**4 + 4*b**2 - 34 + 35 + 11*b**3 to d + n*b + a*b**2 + l*b**3 + w*b**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*w + 11 = 0, 0 = -5*i + 4*w - 4 - 26. What is the common denominator of -24\/11 and (i\/4)\/((-9)\/(-4))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -11*v**4\/12 - 18*v. Let l(z) = 2*z. Determine x(l(q)).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33213063 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10636 in -1\/4, -0.1, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 10:58 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9582441*a + 6216115*a + 6785888*a.\nAnswer: 22584444*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 10, 1, -5, 5, -328 in increasing order.\nAnswer: -328, -5, -2, 1, 5, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsccftqzszqztt. What is prob of sequence ctz?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 21. Solve -10 = -2*z - m*j, z + 1 = -j + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/5, -1.33619, 1.482?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94964688 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**2 - 4 + 0 - 6*y**3 + y**4 + 2*y**2 - 7*y**2 to the form b*y**2 + z*y + q*y**4 + h*y**3 + x and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 21483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (0 + 3\/3). Suppose -2*d - g*m + 2 = -2, -4*d + m = -8. What is the third derivative of 2*v**3 - v**d + v**3 - 2*v**3 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3.8. Let y = -342649\/4210 + -9\/842. Let d = y - -81. Sort n, -0.2, d in decreasing order.\nAnswer: n, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.01 - 11.61. Put -112, z, -3 in increasing order.\nAnswer: -112, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760 = -2*i - 29*c + 28*c, 2*i - 762 = -2*c. Let t = i + -355. What is the lowest common multiple of 44 and t?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17796 + -17983.677. Let j = 41 - 229. Let r = j - x. What is r rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:29 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 32*p + 3. Let w be q(16). Suppose w*h + 977 = 6326. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 591*f**5\/20 + 22*f**4 - 842*f. What is the third derivative of c(n) wrt n?\nAnswer: 3546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose 3*q - j = 12, q - 3*q - 5*j - 9 = 0. Suppose -2*u + 44 = 3*m, -3*u + c*m + 73 = q*m. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 3) to base 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111 + -101?\nAnswer: -10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10767 - -10785. Let o = -2.5 - -2. What is the closest to 0.1 in o, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25069550.\nAnswer: 2, 5, 11, 19, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2640*b**3 - 144*b**2 + 4*b + 6. Let k(j) = 2639*j**3 + 142*j**2 - 3*j - 5. Let z(l) = 4*k(l) + 3*m(l). Find the third derivative of z(p) wrt p.\nAnswer: 15816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -4. Solve 5*j - 12 = 2*v, 2*j - 3 - g = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 27 = 5*x, -v - 19 = -2*x - 2*x. Let n(m) = 3*m**2 + 3*m - 7. Is n(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-28)*(-70)\/(-40).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2925 - 23397\/8. Which is the nearest to 0? (a) 3 (b) 11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3018 is divided by 392.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 199, 279, 359, 439, 519?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1365 and 483?\nAnswer: 31395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2432*n**2 + 4750*n**2 + 45 - 2418*n**2 - 48.\nAnswer: -100*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -0.5, 0, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuutmt. What is prob of picking 1 m and 1 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*j = -127*j - 242*j - 32270 for j.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-1) - (-11)\/(44\/(-8)). Suppose -9\/7*p - 3\/7*p**g - 6\/7 = 0. Calculate p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 s when three letters picked without replacement from xtdktss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52370179, -104740352, -157110525, -209480698, -261850871?\nAnswer: -314221044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/(-15))\/((-2)\/3). Suppose 443*o - 4*x + 22 = 440*o, -2*o = 4*x - 32. Solve a - r - 1 = 0, -5*a + 2*r = j*r + o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -22440?\nAnswer: 22440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c - 266. Let n be k(25). Let m = -9 - n. Solve 4*o + m - 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*v + 2502, 5*v - 17 = -37. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 842755114 to the power of 1\/2, to the nearest integer?\nAnswer: 29030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 29*n**2 - 25*n - 296. What is m(-31)?\nAnswer: 2401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129914.\nAnswer: 2, 17, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1457 - -1465. Solve -3*s + u*s = 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129278.\nAnswer: 2, 761, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/216 and -15\/32?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2501 - 1138 = -67*q - 2232 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*f - 104*f - 348 = 330 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11165 - -11179. Solve 0 = -5*h + 2*x - 3, j*h - 5*x = 19*h + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351.271g in kilograms?\nAnswer: 2.351271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5040347\/6 + 840058. Suppose 2 + 1 = d. Factor -b*u**4 - 25\/6 - 2*u**d - 10*u - 23\/3*u**2.\nAnswer: -(u + 1)**2*(u + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -44459861\nAnswer: -4445986.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m. Let t(j) = 5817*j**2 + 8. What is f(t(u))?\nAnswer: 11634*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - u**2 + 0*u**2)*(u**2 + 2*u**2 + 3*u**2) - 2*u**2 - 7260*u**4 + 8577*u**4 + 2*u**2.\nAnswer: 1323*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2)*-5*-4 + -4.\nAnswer: -44 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5 - 2520*p**4 + 19988*p**3 - 52336*p**2 + 54768*p - 19904 = 0.\nAnswer: 1, 2, 4, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + y**2 - 4*y**2 + (y + 2 - 2)*(-3*y - 6*y - 9*y) - 4*y**2 + 2*y**2 - y**2 as k + n*y + x*y**2 and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ab - d9?\nAnswer: 2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2. Let a = 464597\/706563 + -94\/143. Let r = a - 4\/81. Is r not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-6))\/(2 + -4 + 2 + 7). What is the third biggest value in 0, x, -2, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*1\/(-3 + 1). Put n, 2, 1 in decreasing order.\nAnswer: 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 - 9952*z**3 + 848300*z**2 + 1736416*z = 0. Calculate z.\nAnswer: -2, 0, 88, 9866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.04, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6055 and 0.16.\nAnswer: -6054.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 29 = -g, 3*g = 2*j + 7*g + 24. Let m = 16 + j. Suppose -z + 15 = -7. Solve 0*t - 2*u + 6 = -4*t, -3*t = m*u + z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:01 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*i + 5. Suppose -2*m = -7*m. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1352998 + 4\nAnswer: 1353002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 34 = 4*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2723555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqfyxqqozfyfqyfqfqx. Give prob of sequence fyz.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 916 = -3*s, 17*s - 20*s + 3*l = -906. Calculate the remainder when s is divided by 193.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*(3 + (-15)\/6). Let r be ((-20)\/(-15))\/((-2)\/d). Find the common denominator of (34\/r - -3) + -2 and -21\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23886 divided by -6?\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8059.\nAnswer: 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -42?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 8*q + 60. Let x(o) = -2*o**2 + 15*o + 123. What is 11*p(n) - 6*x(n)?\nAnswer: n**2 - 2*n - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -938 or -932?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -6. Suppose -2*s + 0*s = -3*t - 11, -2*s - 5*t = 29. Let n be 119\/9 - s\/u. What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2\/4 - 195*v\/2 + 12675\/4 = 0 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + -68. Calculate the least common multiple of -3 - ((-6)\/(-2) - (122 + -6)) and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/57)*z*z*z\/(z*(z\/z**25)\/z) assuming z is positive.\nAnswer: z**(1594\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -5\/4 (c) 0.3 (d) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -946, -7, -4, 3, -18 in increasing order.\nAnswer: -946, -18, -7, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2 + (-150)\/(-5). Let y = 56 + b. Calculate the highest common divisor of 129 and y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557 - 539 = 9*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 6)*(0*s - s - s)*(3*s + s - 5*s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 30. Let p be j + (-6 - (-15)\/5). Let q be (-224)\/(-3) + (-2)\/p. Calculate the highest common factor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, -6, 2, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177.9 + -188. Let v = b - -21. Let w = -10.7 + v. Which is bigger: 14 or w?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486143 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let h = 110 - 71. Let n be 26\/h - (-2)\/6. Let i(b) = -1 + 1 + 4*b. Calculate n*i(w) + 3*j(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1856*s**5 - 18 + 18 + 2362*s**5 - s**5 - 2*s**5 + 2*s**5 - s**5 + 2*s**5 + 0*s**5 + (-s + s**4 + s)*(2 - s - 2) + 0*s**5 - s**5 - s**5.\nAnswer: 4215*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 41. Let f be r(-8). Let g(l) = -4*l**2 - 2*l + 1. Calculate g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 63, 234, 511, 888, 1359, 1918, 2559?\n\"Answer: -u**3 + 59*u**2 + u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 327.255 - 326. Let r = x - -0.085. What is r rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29b (base 12) to base 2.\nAnswer: 110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -12 + 26 + -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 9:08 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10239 is divided by 9845?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 23*b**2 - 4*b + 296. Let a be x(0). Solve 289*y + 56 = a*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-120)\/8))\/(341\/33).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -30516.\nAnswer: -30516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202751*c**2*j + c**2 - 2*c*j - 276*j + 907 wrt c.\nAnswer: -405502*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-one fifths of a millennium?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 659985?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -36519 (b) -5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**3 + 41255*w**2 - 247390*w + 329800 = 0.\nAnswer: 2, 4, 8245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a day in hours?\nAnswer: 438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 3*i + i + (-2 - 3 + 6)*(0*i - 2*i + 0*i) - i - 2*i + 2*i + i + i - 3*i + (-1 + 3 - 3)*(-2*i - 2 + 2) + 2*i - i + i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -482640 != 353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16579? (a) 144 (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 225329272349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*q = 10, 0 = -a + 6*a + q - 5. Let f(t) = -3*t + 2 + 3*t + a*t. Calculate f(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(36\/(-16)) - -16. Suppose s - j = 4*s. Which is the third smallest value? (a) 9 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -15339.6.\nAnswer: 61358.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*((((f**(-3\/11)*f*f)\/f)\/f)\/f)\/f)\/(f*f\/(f*(f**(-1\/7)*f)\/f))*(f**(-1\/2))**(2\/3) assuming f is positive.\nAnswer: f**(-404\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -4*d + 536. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v**2. Let s(g) = -14*g + 20*g - 7*g. Calculate y(s(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13 + 14 + 166\/(-50) and -32\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 203, 307, 411, 515?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**3 - 39*x**2 - 88*x + 2. Let y(g) = -14*g**3 + 78*g**2 + 175*g - 5. Let d(b) = -5*l(b) - 2*y(b). Solve d(i) = 0.\nAnswer: -10, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 12*f + 15. Let b(i) = i**3 - 4*i**2 - 8*i + 3. What is the least common multiple of b(6) and f?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 660675 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (25920\/64800)\/(-1*(-1)\/25*(-2)\/6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/3 - -9) + 2489. Let k = q - 1135. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 8*r - 3. Let x be b(6). Let m be (36\/14)\/3*x. Let a(d) = 29*d**2 - 6*d + 4. Let w be a(1). Calculate the greatest common factor of w and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 7563*i**3 + 37890*i**2.\nAnswer: -3*i**2*(i - 5)*(i + 2526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 8. Suppose -r + i = -z*r - 34, -5*r - 55 = -5*i. Let x = 27 + r. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 4. Let d be q(-3). Is -3*d + (-348)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 u when four letters picked without replacement from ykuquyquyuyqqqqyu.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - -111899939\nAnswer: 111899938.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + t - 2. Let x be h(-3). Suppose -4*g - 4 = -4*j - 3*g, 5*j = 2*g + 2. Suppose -10 = -4*p + j*p. Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92421 and 978.\nAnswer: 184842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rllv when four letters picked without replacement from kvlkhvlhvhkhhlhrlhl?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from nnfffnnneef.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178544153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -3.2?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3059235 rounded to 4 dps?\nAnswer: -0.3059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:08 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 322379814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7139 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 438913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5518 - -5523. Solve q = 5*a, -2*r - 1 = -0*r + 3*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 + 4*u - 1. Let s(d) = 16*d**3 - 21*d + 5. Let h = -36 + 21. Let f = h + 5. Let a be 116\/f - 9\/(-15). What is a*v(t) - 2*s(t)?\nAnswer: t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8140737 divided by -246689\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 2 = 0. Differentiate -36 - 2*i**2 + 6*i**2 - 9*i**3 - 5*i**k with respect to i.\nAnswer: -27*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9909\/1 + (-6)\/(-16)*16.\nAnswer: 3, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/30 + 11*r**4\/3 + 52*r**3 + 414*r**2. What is the derivative of c(k) wrt k?\nAnswer: -4*k + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3, 136426\/9, 8, 0.04 in descending order.\nAnswer: 136426\/9, 8, 2\/5, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 326691 + 22.9\nAnswer: 326713.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - 18\/(-5). Calculate the highest common factor of 16 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1898 - 248.\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-7 + (8 - 8)) + 41120 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -197.96 and -0.11.\nAnswer: 21.7756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/50)\/((-16749)\/22192425).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Suppose -10 = 2*j + 2*j + m, -m = 3*j + 7. Let y be (-8)\/(-4)*j\/(-8). What is the smallest value in b, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 + 6*h. Let p be n(-4). Let v(f) = f + 7. Let o be v(p). What is the highest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 112, 115, 118, 121?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -60*a + 968. Let z be t(16). What is the highest common factor of 1816 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 912.2505 millilitres?\nAnswer: 0.9122505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -39.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.8\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1240)\/560 + 10\/4)*-1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 9. Let b be p(4). Let j = -1 - b. Suppose 0 = -3*o - 4*t - j*t + 155, 0 = -o + 2*t + 55. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*f - 2*f. Suppose f*d = 6*d - 72. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 250 = 5*l, -4*l - 4*b = 9944 - 9840 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2988?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281*(-8 - (-650)\/39 - 8) is divided by 171.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -78*n - 1. Let g(r) = r + 1. Calculate a(j) + 4*g(j).\nAnswer: -74*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744*i - 16 + 52 - 1234*i - 1742*i.\nAnswer: -2232*i + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33224 rounded to two dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 2, 6, 2, -16?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -86, -89, -38, 85, 298, 619?\n\"Answer: 3*m**3 - 60*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495328.\nAnswer: 2, 23, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 21*n**3 + 2*n**2 - n - 1. Let k be f(1). Suppose -5*a + 31 = k. Let t(b) = 11*b**a + 11*b**2 - 29*b**2. Let z(u) = u**2. Give t(z(s)).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*(sqrt(468) + 0) + (3*(1 + sqrt(468) + sqrt(468)) - sqrt(468))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95634 and 0.159.\nAnswer: 15205.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.009*91\nAnswer: -0.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1678.8 - -1678.6. Let n = -7.7 - -8. What is the smallest value in x, -2\/9, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49465900 a multiple of 2563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13920182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144 + 41. Let x = i + 102.999632. What is x rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17233.\nAnswer: 19, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140548 and 46.\nAnswer: 3232604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/131)\/p**(-2\/9))**(-1\/38))**(-1\/3) assuming p is positive.\nAnswer: p**(122\/67203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w - 228. Let l(y) = -34*y + 693. Calculate -3*l(d) - 10*u(d).\nAnswer: -8*d + 201","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.05*3.\nAnswer: 6.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:26 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 + (-162)\/(-21). Let p = 19 - t. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**7\/168 - 23*u**6\/120 + 47*u**5\/80 + 311*u**4\/48 - 44*u**3 + 90*u**2 - 4*u - 405. Solve x(z) = 0 for z.\nAnswer: -4, 1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w - 20 = 0. Suppose 32 = v - 8. Suppose -2*g = -3*g + 5*o + 30, -v = -3*g + 5*o. Solve -w + 0 = 3*a + 5*i, 5 = g*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10008 + 22632 = -340*m for m.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68533 take away 4992821.157?\nAnswer: -4924288.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -80, -1440.\nAnswer: -1440, -80, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p**2 + 4*p + 5. Suppose -3*f = -5*j + 1, -j - j = -2*f + 2. Suppose f*a = 2*a + 6. What is the units digit of z(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4239214*k - 2122980*k - 2120843*k.\nAnswer: -4609*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + m = -2*y + 642, -2*y - 2*m + 318 = 0. What are the prime factors of y?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*f + 2*y + 6, 2*f + y = -5. List the prime factors of 2\/((-1)\/(f - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 - 7*s**4 + 0*s**4 + 3*s**4 + 2 to l*s**4 + d*s**3 + h + x*s**2 + g*s and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 10 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6549 + 0.3.\nAnswer: 6549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6*m + 3*m = -8, -2*w = -4*m - 26. Which is the biggest value? (a) w (b) 4 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.42 - 11.4. What is the third biggest value in i, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 34*s**2 + 308*s + 26. Give a(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = -3*z + 99, -3*a - 131 = -5*z. What is the greatest common divisor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 45, 5, -4 in ascending order.\nAnswer: -11, -4, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-176 + -6) - 23 - -8?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 362 - -246. What is the greatest common factor of d and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - w + 57*w**2 + w - 2 + 52*w**2 - 8*w**2 in the form j*w**3 + g*w + v*w**2 + o and give v.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 646.8748 years?\nAnswer: 6.468748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -10 - (53 + -77)) + -27?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/10261 + -23230883\/71827. Let x = 18790283 + -1578410051\/84. Let j = b - x. Find the common denominator of j and 32\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0243709 - 0.02355. What is k rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f**2 + 7*f - 4. Let d be y(5). Let q be 198\/d - 18\/21. Solve 0 = 2*j - q*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + sqrt(7) + -1)**2 + 1.\nAnswer: -4*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = -0*s. Suppose -4*i + 17 = -s. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 65 - (-30 + 1) - -8?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (10 - 15) + (27 - -5) + -22?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 l when three letters picked without replacement from slelleshh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**3 + 7*d**2 - 7*d + 1. Let o be r(1). Suppose -o*q - q - 131400 = 0. Round q to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109888 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4861 = 4*f, 17*f - 21*f + 4871 = -p. What is the remainder when f is divided by 605?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 504*c**3 + 40572*c**2 - 1111320*c + 9724050.\nAnswer: 2*(c - 105)**2*(c - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 11*b - 11 to l*b + h and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 249617277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11 - 53 = 0. Suppose g + h = 5*g. Let f(w) = -188*w**2 + 94*w**2 + 4 + 0 + 91*w**2 - 4*w. Let y(m) = 7*m**2 + 9*m - 9. Determine g*y(t) + 9*f(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 14946*z**2 - 327531*z - 848160.\nAnswer: -3*(z + 3)*(z + 19)*(z + 4960)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7785.29319 rounded to 0 decimal places?\nAnswer: 7785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (841 - (5 - 3))\/((-2)\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 + 3*v - 5. Let q(p) = -p**2 + 1. Determine -5*q(g) - s(g).\nAnswer: g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 671551776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 - 855 = -17*n. What is the remainder when n is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -975 less than -473737\/486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d - d**2 - 3*d. Let h be -22*(1*-1 + (-9)\/(-18)). Let q(b) = -2*b**2 - 6. Let c(u) = 3*u**2 + 11. Let j(r) = h*q(r) + 6*c(r). Calculate v(j(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441 divided by 5.\nAnswer: 441\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5645*c - 5638*c + 77 = 0. Put c, -5, 2 in ascending order.\nAnswer: c, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 7*m - 9. Suppose -c + 3*b = -4, -c - b = 3*c + 36. Let s be p(c). Let g be (-4)\/14 - 22\/70. Sort g, 1\/11, s in ascending order.\nAnswer: s, g, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35\/264867 or 1?\nAnswer: 35\/264867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = -4 - 6 + 10. Let d(l) be the first derivative of a*l**2 + 0*l + 17\/3*l**3 - 9. Let k(g) = g**2. Calculate k(d(t)).\nAnswer: 289*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1444812 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -14*x - 1. Let z = -13 - -17. Suppose -z*u + 6 = -10*u. What is the tens digit of v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07519 - 0.12481. Which is the second smallest value? (a) 0.2 (b) 6\/23 (c) 1\/7 (d) r (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c**2 + 3*c - 9. Let y be (6\/(-4))\/((-9)\/(-12)). Let k be (24 + -12)*y\/6. Let q be x(k). Calculate the greatest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*s**3 + 3*s**2*v**2 + s**2*v - 3*s*v**2 - 52*s*v + v**2 wrt s?\nAnswer: 42*s + 6*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12286.\nAnswer: 2, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -101*v + 689. Give d(9).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*393075\nAnswer: 786150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 103?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -23. Is a at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/17 and -11\/15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1090702?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 23 = -9 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 14 - 2 = 0. Let m be 3 + 0 - (-25)\/(-9). Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 10:01 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387 (base 16) to base 14.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = n, -9*a + 6 = -10*a - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 3. Let z(o) = -2*o**2 - 7. Suppose -3*j - 4 = 23. Let n = j - -2. Let m(c) = n*t(c) + 3*z(c). Let f(k) = -2*k. Calculate f(m(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104442 and 1521.\nAnswer: 313326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4 + 4)*(d + d - d) + 3*d - 2*d**2 - 3*d - 9*d**2 + 2*d**2 + 26*d**2.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22021222022 (base 3) to base 12\nAnswer: 7a5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.84 less than 2?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*n - 2*r - 819, 5*n + r - 2030 = 0. Calculate the highest common divisor of n and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752411573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-122607)\/(-15) - 1\/(-5). Suppose -3*c - t = 5*y - 122164, 5*y + 10 = 0. Round c to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2 + 3*r + 51. Let v(c) = c + 1. Calculate 5*u(q) - 15*v(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from pvqpqrqqppq?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 17*p + 13. Let a(k) = -2*k + 3. Let z(b) = -11*a(b) + w(b). Determine z(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374465660 is divided by 274.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgxhhghjchhghgh. Give prob of sequence gjxj.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -1110?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*g + 4*m - 63, 4*g - 2*m + 70 = 0 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*r + 72*r + r**3 - 5*r**3 + 5*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**4\/6 + t**3\/3 + 2*t**2 - 14*t. Let c(l) = -l**2 - l - 2. Determine 11*c(u) + 6*o(u).\nAnswer: u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w - 13533 + 12633 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 10*w + 19. Let t be u(6). Suppose 12*a + t = 19*a. Solve 4*x + n - 24 = 0, -3*x + a = -2*n - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 21*x**2 + 113*x + 118. What is h(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -15. Let s = 5.3 - 0.3. Let p = s + -6. Which is the nearest to -0.1? (a) -2 (b) x (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -g - 129, 6*j - 5*g = j - 330. Let v(z) = -10*z**2 - 65*z. Let u(c) = c**2 + 6*c. Calculate j*u(t) - 6*v(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 15 = -0*f. Let u(g) = g**3 - g**2 - 2*g + 2. Let a be u(2). Put f, 5, a in decreasing order.\nAnswer: 5, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3 - 5. Let m(n) be the first derivative of -1 - n + 1\/2*n**2. Let r(k) = k**2 + 1. Determine f*r(d) + 2*m(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3\/9*-2 + (-3424)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12012300 (base 5) to base 12.\nAnswer: 53a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*h + 53. Let l(a) = -a - 6. Let j be l(-8). Suppose -r - h = j*r. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3224 + -3223.94772. What is j rounded to 3 dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i. Let l(j) = -j**2 - j + 3. Let g be l(i). Solve -k - g + 1 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/3 + 10*f**3\/3 - 8*f**2\/3 - 40*f\/3 = 0.\nAnswer: -5, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(-1 + (sqrt(192)*2)**2 + -1).\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*h**2*y + 37*h**2 - 3*h*y + 2*h - 239*y wrt h?\nAnswer: 114*y + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwwwwwwwwwwweeww?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - f - 111 = 0, 0 = 3*t - 6*t - 2*f + 348. Let c = 117 + -94. Calculate the remainder when t is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/140)\/(9\/(45\/2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 0*v**5 + 0*v**5 + (3*v**5 + v**5 - 5*v**5)*(-1 - 2 - 1).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 345 and 27?\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 + -161. What are the prime factors of 88 + (1 - 3)*v\/(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -464.0870595 - 0.4443405. Let c = -447.531335 - n. Let v = -17 + c. Round v to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4179 is divided by 387?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-3\/11)*t**(-2\/5)*(t*t**(-2))**20*(t**0\/t)**(-36)*t\/(t\/(t**(2\/13)\/t)*t)*t**(-1) assuming t is positive.\nAnswer: t**(9639\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48397933.\nAnswer: 89, 543797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 24 = q. What are the prime factors of ((-14)\/q)\/((-7)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i = 0. Suppose 5*t - 5*x + 9 = t, 2*x - 2 = i. Let p be (t + 0)*-15*8. Calculate the greatest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 13*c. Let i(x) = -5297*x. Calculate f(i(m)).\nAnswer: -68861*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13655, 13582, 13283, 12614, 11431?\nAnswer: 9590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*p - 17 = -11 + 284. Let m = -1625\/3 - -542. Factor -2 + 1\/3*h**p + m*h.\nAnswer: (h - 2)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3 + 45*r**2 + 598*r + 1008 = 0?\nAnswer: -9, -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 2329.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-2)\/((-2)\/(-21)). Let t = 18 - s. Is 8 + t + (-2 - -3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/129 in -1, 7, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057364?\nAnswer: 2, 7, 11, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 21134664*f + 37222835199408.\nAnswer: 3*(f - 3522444)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j + 5614 = 53*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (732\/6588)\/(3 + (-2)\/(-12)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411079703 to the power of 1\/2, to the nearest integer?\nAnswer: 49103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 4*d - 3*v + 5, d = 201*v - 197*v + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 348.804 kilograms?\nAnswer: 348804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixxsxasiiiaexsxaxix. Give prob of picking 1 x, 1 s, and 1 a.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*g**3 - 17*g**3 - 7 + 37*g**3)*(0 + 3 - 6) in the form m*g**2 + i*g**3 + r + b*g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1. Let p(b) = 4*b**2 + 2*b - 2. Let i(x) = 2*h(x) - p(x). Let v(z) = 9*z**2 + 5*z. Give 5*i(o) + 2*v(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 618351, 1236635, 1854919, 2473203, 3091487, 3709771?\n\"Answer: 618284*w + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13 = 4*u - 0, -y - 3*u - 9 = 0. Suppose -6 = -4*j + x - 4, -4*x = -y*j + 8. Let b = 16 + j. Calculate the smallest common multiple of b and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = -5*l + 149*b + 38 - 107, -l - l + 4*b - 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63266, 63365, 63472, 63587, 63710, 63841, 63980?\n\"Answer: 4*h**2 + 87*h + 63175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10006 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2091510430 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*q = 5, -183*t + 9 = -182*t - 2*q. Solve -d - t*w = -17, -d - w + 5 + 0 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*(2\/(-4) + 1). Suppose 4*m - z = 6. Suppose 2 = 2*p - 0*p. Solve -m*v = a, 5*v + 5*a = 3*a - p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Suppose -177 = -z*y + 158. Suppose -3*i + i + 153 = 5*o, -5*i = -2*o + y. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154654 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 337867603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1682 (b) 79 (c) -0.056\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20749930 - -36714667. Let q = -8964737 + s. What is q rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 941085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111 + -10?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-92)\/(-115))\/((-7)\/(-5) - 1). Suppose 0 = -m*y - 4*i + 10, -i - 2 = -4. Which is greater: y or 16\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2982, 8315, 17186, 29595?\n\"Answer: 1769*k**2 + 26*k + 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 8*j - 8*h + 4*h + 27, -3*h = 5*j - 66 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68 + 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 5*f = -85, -t - 201*f = -204*f + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b - 2*j - 186 = 0, 4*b + 46*j = 49*j - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*h - 0*h + 5*b, 1 = -2*h + b. Let l = 159 + -64. Suppose 4*w + h*f - 5*f = l, -5*w + 80 = 4*f. Calculate the greatest common factor of 30 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(sqrt(28) + sqrt(168)\/sqrt(6)))\/(sqrt(16) - (sqrt(16) + sqrt(16) + sqrt(144)) - sqrt(16) - sqrt(16)).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -1 + 2*l**3 + 6*l - 7*l**2 + 7*l**2 - l**3. Differentiate j(a) with respect to a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 4. Suppose 2*l + 2*f = 6, -2*l = -f + 5*f - 12. Let z be y(l). Which is the second smallest value? (a) -2 (b) 2\/9 (c) z (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -909, -1815, -2721, -3627, -4533?\n\"Answer: -906*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 146a0694 - 0?\nAnswer: 146a0694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 35, 0.1, 0.84?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9967, -9826, -9685?\nAnswer: -9544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -7. Let v = h - -106. Suppose z + v = 6*z. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/3 - 10752*d**2 - 21665276*d + 130120712\/3.\nAnswer: -4*(d - 2)*(d + 4033)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -27. Suppose 6*o = c*o. Suppose 165 = -o*q + 5*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -106. Let a be (0 - 3)\/9 + (-1500)\/n. Factor 11*y - 176*y**2 + 92*y**2 + a*y**2 - 10.\nAnswer: -(y - 10)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707*b**2 + 528*b**2 - 1 + 3.\nAnswer: -179*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/209*(45\/(-10) - -4). Put x, -1\/7, -4, -0.24 in increasing order.\nAnswer: -4, -0.24, -1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20325?\nAnswer: 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -405? (a) -4 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 2772?\nAnswer: -276c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 + 32*z - 51 - 21 - 4*z**2.\nAnswer: -4*(z - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 550 + -371. Suppose 0 = 5*z + 4*c - 751, -2*z + j + 103 = -3*c. Let p be ((-8)\/(-3))\/(14\/z). Solve -2*i - 2*w = p - 12, -w = -5*i - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.288 millimeters in meters?\nAnswer: 0.000288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256576 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 3*x**2 - x**4 + (5*x - x - 5*x)*(-1 + 2*x**3 + 1) - 45*x**4 + 83*x**4 - 60*x**4 + (x**2 + 2*x**2 - 5*x**2)*(0 + 0 + 2*x**2).\nAnswer: -29*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/((-93)\/(-54)))\/((-26)\/(-23)) - (-30)\/390?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 475612 - -148797. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 31, 730 in increasing order.\nAnswer: -5, 5, 31, 730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 530520643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6639 is divided by 252.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(605) + (sqrt(5)*3*-4)**2 + -3 + -2*sqrt(80) + -3.\nAnswer: 3*sqrt(5) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (21 + (-42 - -18)) - (-4 + 3 + -79).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 23) + 6 - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11177, 11178, 11179?\n\"Answer: d + 11176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**3 - 7*g + 2. Let r = -11 - -8. Let c(l) = -5*l**3 - 6*l + 3. Let n(d) = r*k(d) + 2*c(d). Find the second derivative of n(t) wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**4 + h**3. Let g(l) = 4*l**3 - 4. Let i(y) = g(y) - 4*t(y). Differentiate i(f) wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:41 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5754430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2562434 is divided by 11238.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (50875\/300)\/(-37) - 518\/(-111)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5cdba (base 15) in base 10?\nAnswer: 296725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5) + -1 + (sqrt(25)\/sqrt(5)*-5 - sqrt(5)) - 4*((sqrt(720) - sqrt(720)*3) + sqrt(5)).\nAnswer: -1 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -10122?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-21) - 228\/(-21). Let q(g) = 118*g + 3. Let s(p) = -589*p - 16. Let a(h) = r*q(h) + 2*s(h). Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 2*q - 6. Let k be c(2). Let o be (-82)\/k - (-7)\/21*-2. Calculate the greatest common factor of 299 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*l - l - 3041, 5*j - 3*l = 15197. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/((-42)\/35)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/2)*t\/t**(3\/2))\/(t**1)**(-42))\/(((t\/(t*t**(1\/2))*t)\/t*t)**(-45)\/(t**(1\/9)*t*t**(-3\/7)*t)) assuming t is positive.\nAnswer: t**(8087\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -397945989 or -397945990?\nAnswer: -397945990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + 1.66?\nAnswer: 1.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + 6. Suppose -2*j = 4*n - 12, 0 = 3*n + 14*j - 10*j - 14. What is the lowest common multiple of y and n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, u: 3}. Give prob of picking 3 u.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1540 and 1320.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/353 and 47\/9.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5314042 is divided by 54222?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66640*h**3 + 87407*h wrt h.\nAnswer: -399840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-407895)\/(-3830)*2\/(-12).\nAnswer: -71\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 32*q + 896. Determine z(50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 4 in descending order.\nAnswer: 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 6*b - 12*b. Let d(x) = -x. Determine d(p(h)).\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -8 - 10) + -25 + 21 + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1479016 and 103\/330?\nAnswer: 22185240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qddwdddeddddqdddd. Give prob of picking 1 e, 2 d, and 1 q.\nAnswer: 39\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 19. Let h(d) = 30*d - 32. Let y(a) = -68*a + 56. Let c(s) = 7*h(s) + 3*y(s). What is -8*b(w) - 3*c(w)?\nAnswer: -2*w + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2 + 5*k. Let p(g) = -3*g + 0*g + 12*g - 4*g + 4*g. Give w(p(z)).\nAnswer: 567*z**2 + 45*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1472.397 * -0.5.\nAnswer: 736.1985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 0. Does 10 divide (-2 + o\/5)\/((-1)\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*u - 1 - 5 + 513*u - 1536*u + 508*u.\nAnswer: -8*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11316131, -22632265, -33948401, -45264539?\n\"Answer: -n**2 - 11316131*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -275, -310, -369, -458, -583?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -0.4, 1\/7, -74 in ascending order.\nAnswer: -74, -0.4, 1\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54043 is divided by 569.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 668*s**4*z**2 + 10*s**3*z**3 + 63*z**3 - z**2 - 19 wrt s.\nAnswer: 2672*s**3*z**2 + 30*s**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r**4 + 0*r**6 - r**2 + 0 + 0*r**5 + 0*r + 1\/70*r**7 + 1\/3*r**3. Differentiate z(i) wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/19 + 1217638*r\/19 + 1217636\/19.\nAnswer: 2*(r + 1)*(r + 608818)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1662 + -1122. Let g be (-2)\/(3*(-8)\/u). What are the prime factors of ((-84)\/(-10))\/(18\/g)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 45 + 40*n**2 + 4 + 199*n**2.\nAnswer: 239*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-26) + (-141)\/(350103\/(-117083))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77505.72 centuries in millennia?\nAnswer: 7750.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b5c13 (base 15) in base 11?\nAnswer: 1201194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 1 + 1 + -2. Let m(u) = 0*u**2 - 5*u**2 + 3*u - 1 - 4 + 0*u**3 - u**3. Let t(j) = j**3 + 6*j**2 - 4*j + 6. Calculate p*t(g) - 6*m(g).\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6049499811 to the power of 1\/2, to the nearest integer?\nAnswer: 77779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 350675218 a multiple of 2975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1924 - 2694. Let c be ((-112)\/h)\/2*(-5)\/2. Sort -20, 0.01, c in decreasing order.\nAnswer: 0.01, c, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b48 (base 12) to base 3.\nAnswer: 102201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h - 3*h + 3*h + (-h + 0 + 0)*(-2 + 4 + 0) + h + 0*h - 3*h - 2*h - 5 + 5 + (2 - 2 - 1)*(-h + 2*h - 2*h) + 0*h - h - h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*t**5 - 58*t**4 - 56*t**3 - 23707*t**2 - 4*t.\nAnswer: 420*t**2 - 1392*t - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/24)\/(1\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 3*v**2 + 0*v**2)*(-10*v + 7*v + 5*v) + 7*v**3 + 3*v**3 + 2*v**3.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10\/3, 13 in increasing order.\nAnswer: -10\/3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (129 + 20*q - 130 - q)*(0 - 4 + 5)*(0 + 3*q**2 + 0)*(-9*q + 39*q + 3*q) to the form w*q**2 + p*q**4 + b + a*q + d*q**3 and give p.\nAnswer: 1881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40516051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 19. Let a(s) = -6*s - 60. Let u(k) = -43 + 23 + 81 + 5*k. Let b(l) = -6*a(l) - 9*u(l). Let v(h) = 4*b(h) + 42*d(h). Differentiate v(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m**3 - 14*m**2 - 4*m + 175. Let r(t) = -5*t**3 + 6*t**2 + 2*t - 87. Let g(o) = -3*q(o) - 7*r(o). Differentiate g(p) wrt p.\nAnswer: 15*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -41, -98, -167, -242, -317, -386?\n\"Answer: j**3 - 15*j**2 - j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + 4\/(2 + -4). Suppose 25 = -5*q, -5*i + 4*i + q = -9. Suppose -b + 3*l = -8, -i*b + c*l + 25 = -21. Solve -4*p = 20, 0 = j - 5*p + 3*p - b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*k - 16884 = 164*k for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:13 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/15 (b) 27 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 0*t = -32. Let h be 0 + 88\/20 + t\/(-10). Suppose -h*r - 4*u = -6864, u - 3007 = -3*r + 2137. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -685 + 1035. Is z a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 32045486?\nAnswer: -32045483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 130729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9980310, -19960619, -29940928, -39921237, -49901546, -59881855?\nAnswer: -69862164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 29006746990488?\nAnswer: 29006746990492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159\/24645*0 - (-20)\/(-38).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p**3 + 5*p + 51*p**3 - 5*p.\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 17*q**2. Suppose -2*z + 5*w = -31, 8 - 1 = 2*z + 3*w. Suppose 5*b + 15 = -5*n, 0*b - 2*b - z = 0. Calculate j(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 11*d - 15. Let i(v) = v**2 + 5*v - 7. Let u(n) = -9*i(n) + 4*j(n). Let k be u(4). Let w = 29 + k. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-250)\/(-15)*3\/2. Suppose -4*x + d = -3*x. Suppose -2*v = f - 77, 4*f + x = 2*v - 27. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o*r**3 - 3*o*r**2 + o*r + o - 7*r**4 + 42*r wrt r.\nAnswer: -18*o*r - 6*o - 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206394504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5460*u - 152580 - 76740 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from xlxfxlzluxl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert be (base 16) to base 12.\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/120 + 3*f**5\/10 - 7*f**4\/12 - 21*f**3\/2 - 7*f**2 - 2*f. Is p(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/5 - 158*p**3\/5 + 611*p**2\/5 + 154*p.\nAnswer: p*(p - 154)*(p - 5)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -67, -11, 479, 1 in increasing order.\nAnswer: -67, -11, -4, -1, 1, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -6*c**5\/5 - c**4\/4 - 48*c - 20. What is the derivative of w(o) wrt o?\nAnswer: -24*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, -5, -25, -63, -125, -217, -345?\n\"Answer: -i**3 - i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464948 and 2596?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by (-1 + -1)*(-1 + -19).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144045 and 84150.\nAnswer: 24487650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 3, -0.2, -0.15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/10 + 32\/80.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833) + -1)**2 - ((sqrt(833) + -1 - sqrt(833)) + -5).\nAnswer: -14*sqrt(17) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 852082?\nAnswer: 4260410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 43635 divided by 1\nAnswer: 43635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4151, -8289, -12427, -16565?\nAnswer: -20703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*k - 14, 0 = -2*f - 2*k + 4. What is the closest to -1 in 4, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 + -3.2. Which is the third biggest value? (a) -0.3 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440123803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -152?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -28*t**3 + 4*t**2 - 1. Let w(q) = 28*q**3 - 3*q**2 + 2. Let u(r) = -4*n(r) - 5*w(r). What is the third derivative of u(y) wrt y?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 253, 1\/3, -16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y + 5. Let c(u) = u - 18*u - 1 - 15*u. What are the prime factors of c(y)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 10. Let j = 23 - 12. Let f be n(j). Suppose f*v = 11*v + 74. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgae when four letters picked without replacement from {a: 1, t: 1, e: 2, i: 2, g: 1, z: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -36.02. Let u = 1483 + -1479. Sort 3, 5, n, u in increasing order.\nAnswer: n, 3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from fpfdfnnufnpfffnu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110981587?\nAnswer: 110981587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let t = 4.99 - 5. Let w = -0.31 - t. Put w, -3, f in increasing order.\nAnswer: -3, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -94, -5007 in ascending order.\nAnswer: -5007, -94, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**9\/504 + q**5\/30 + 2*q**2. Find the third derivative of d(c) wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-35)\/(-10))\/(3\/(-66)). Let d = y - -114. Solve l - c = -8, -3*l = l - 5*c + d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1140 and 51880?\nAnswer: 2957160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114424313*u**3 + 222086614*u**2 wrt u?\nAnswer: -686545878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 9*p - 67. Let u = p - 11. Suppose 2*k - 4 = -u*n, 5*n + 0*k - 4 = -2*k. Solve 2*q + q = n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1, 0.2628237?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 2*g**2 + 2*g + 52. Let d(s) = -s**3 + s**2 - s - 1. Give -2*d(k) - o(k).\nAnswer: k**3 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -149*p**6\/120 - 533*p**3\/6 - 455*p**2. Differentiate i(a) with respect to a.\nAnswer: -447*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 68 = -3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from nhnnbhndnnndddhbnnn.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*n = -205*n - 234. What is the remainder when 2411 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8472619 divided by -8472619.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 129, 247, 349, 399, 361, 199, -123?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**8\/1512 + 4*g**7\/945 + g**6\/270 - 2*g**5\/45 - g**4\/12 - 41*g**2. Determine q so that o(q) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 805 - 806. Is -6\/133 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -458996*s**3 + 5*s**2 - 1464*s - 1 wrt s?\nAnswer: -2753976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 20*t**3 + 80*t**3 - 5*t**3 to the form g + b*t**3 + z*t + p*t**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - 2) + 60 + 1?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(2 + -1) - -3. Suppose 4*s + s - 10 = f. What is the units digit of 115\/9 - s\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11534 and 10.\nAnswer: 57670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -322484422 + 322484199.999893. Let l = -225.06 - -3.06. Let k = l - x. Round k to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 311 = 333, -4*k + 2*i = 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039509 and 4?\nAnswer: -0.158036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toooootoo. Give prob of picking 4 o.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f + 18*f - 5*f + 8*f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 + 151. Sort 2, 5, -5, h in descending order.\nAnswer: 5, h, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6636391, -6636376, -6636335, -6636256, -6636127, -6635936?\nAnswer: -6635671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8970878?\nAnswer: 2, 7, 640777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 3. Does 3 divide c(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/140)\/((-2)\/(-14)). Does -5\/306 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 37, -28, -169, -410, -775?\nAnswer: -1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5502 is divided by 274.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x**2 - 146*x + 132 = 0. Calculate x.\nAnswer: 1, 66\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7292, 7387, 7556, 7805, 8140, 8567, 9092, 9721?\nAnswer: 10460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1018, -1020, -1032, -1060, -1110, -1188, -1300, -1452?\n\"Answer: -d**3 + d**2 + 2*d - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22261\/58 or 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(63)*-1)**2 + (sqrt(28)*2)\/sqrt(4).\nAnswer: 2*sqrt(7) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2704.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -89808.3 rounded to the nearest one hundred?\nAnswer: -89800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = 2*d, 3*d = -5*l - 32. Let v be 4\/(-8)*l - -23. What is the common denominator of 29\/15 and v\/(-10) - (-227)\/54?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1177 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**3*r**3 + 16*n**3*r - 2*n**2*r**3 - 95*n**2*r + n**2 wrt n.\nAnswer: -12*r**3 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105443, 421735, 948887, 1686899, 2635771?\n\"Answer: 105430*q**2 + 2*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/5 + 1351596*f\/5.\nAnswer: -4*f*(f - 337899)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576447.\nAnswer: 29, 88843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7*b - 20 = 2*b, 0 = 5*w - 2*b - 181. Let y = 1 - 1. Let i be y\/1 - (-4)\/1. Solve -16 = -i*j - k - 0*k, -3*j = -5*k - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6375151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {j: 2, v: 2, q: 4, u: 3, r: 2}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 + 6*v - 40 - 101.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 82 - 816 = 710. Calculate the remainder when 1221 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -1)\/((-1)\/(-2)). Let j = 2 + d. Let x = j + 25. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 3535326791787.\nAnswer: 3535326791789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417396032?\nAnswer: 2, 6521813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 421594\/19085 - 243\/11. Let t = -2215645822 + 23064873098969\/10410. Let j = a - t. Find the common denominator of 5\/6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u + 342 = -796 + 720 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2011 + -2007. Is l smaller than 262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6 + 7 + 5 + 2*j**2 - 5*j**3 - 5*j. Let y(b) = 6*b**3 - 3*b**2 + 6*b - 7. Let u(r) = -7*d(r) - 6*y(r). What is u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2 + 5*z + 3. Differentiate c(a) with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-9) - 360\/405. Let z be 8\/(-28) + (-32)\/(-14) - t. Let f(m) = -m**3 + 3*m**2 - 2*m - 2. Give f(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 1\/24*h**4 + 1\/3*h**3 - 1\/30*h**5 + 0*h + 0 - 16*h**2 - 1\/60*h**6. Let i(u) = -u**2 + 1. Calculate -2*i(p) + r(p).\nAnswer: -2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 6062 + 6062.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*d - 4*d - 1 = 0, 2*n - 5*d + 19 = 0. Suppose -2 = y + 2*q, 4*y + 5*q = 1 - n. Let j = -49 - -45. What is the second biggest value in j, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 176*g - 2583 - 761 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and 760.\nAnswer: -25840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:19 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -669 - 867. What is the remainder when 124 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 39*d**2 + 11*d**2 + 11*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -89. Suppose 2*y + 141 = f. Let u = -44 - y. Solve -3 + 6 = u*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5051862 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69767 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhh when three letters picked without replacement from {z: 3, j: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 110149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307714 + -3384852\/11. Determine b so that 14\/11*b + 16\/11 - d*b**2 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*(5 - 2))\/(12\/(-72)). Suppose 3*y - d = -3*t, 3 + 7 = 2*y. Let b(r) = -r + 5. Calculate b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244 divided by 1122?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.9 - -38. Let k = 1145 + -1144.951. What is the second biggest value in k, p, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -3*q**5\/5 + 33*q**4\/2 + 49*q**3 - 33*q**2 - 144*q + 503. Let l(i) = 0. Calculate i.\nAnswer: -2, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2452*q**3*x**3 + 3*q**3*x**2 + 2*q**2 - q*x**3 - 339*q*x + 4 wrt q.\nAnswer: 14712*q*x**3 + 18*q*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-7)\/105*(-5)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8017117 - -8015335.7028. Let b = j - -1781. Let r = b - -0.3. Round r to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 + 5*b - 3. Let i(q) = q**2 + q - 1. What is -4*i(u) + r(u)?\nAnswer: u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8287 and -4931232758.\nAnswer: -4931241045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Suppose -10 = -4*o - 2*q, 5*o - 3*o - y*q - 9 = 0. Calculate the least common multiple of o and (6\/18)\/((-1)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 5718, -8\/11, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 835898 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 22928 - 22928.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - h + 1. Let g(t) = -14*t**2 + 6*t - 6. Calculate -g(o) - 6*n(o).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 0.087 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2 + 87392*x + 1659004 = 0. What is x?\nAnswer: -21829, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*f = -185*f - 15. Let n = 0.2 - 0. What is the closest to -1 in n, f, -15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1034*d**5\/3 + 68248*d**4\/3 - 259798*d**3\/3 + 193328*d**2\/3 - 248*d = 0. What is d?\nAnswer: 0, 2\/517, 1, 3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 27. What is the remainder when -1 + 6*78\/9 is divided by p(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1969 - 2050.1. Let n = -82.111 - z. Let m = n + 0.96. Round m to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1446, 5775, 12980, 23061, 36018, 51851, 70560?\n\"Answer: 1438*l**2 + 15*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - c - 18 = -4*m, 5*m - 4 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 764*p + 16 = -763*p, -4*p = 2*i - 44 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -36. Suppose -j + 2*j = t. Suppose -4*a + 107 = 71. Calculate the greatest common divisor of j and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:48 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 j when four letters picked without replacement from {r: 1, s: 1, v: 1, j: 3, k: 2, e: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -331504.\nAnswer: 3646544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*q + 77 - 77)*(-1 + 1 - 2*q)*(-7 + 3 - 1)*(2*q**3 + 0*q**3 + 0*q**3).\nAnswer: -300*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -21*o**3 - 9*o + 13. Let b(p) = -4*p**3 - p**2 + p - 1. Let f(r) = r**3 - r**2 + 3*r - 4. Let a(m) = 2*b(m) - 2*f(m). Calculate -13*a(n) + 6*y(n).\nAnswer: 4*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve w - 6*f - 15 = -51, 3*w - 5*f = -30 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 4*h**2 + 14*h + 13. Let p be q(-6). Let r be (-4)\/(-18) + (-10)\/(-36). Factor p - 1\/2*z**4 + 3\/2*z**2 - 5\/2*z + r*z**3.\nAnswer: -(z - 1)**3*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 o, and 1 v when three letters picked without replacement from obvng.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 79457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -232245 + 2287530. Suppose -j = -4*y + 1224715. Round y to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43318105 rounded to the nearest 10000?\nAnswer: 43320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 31*a**3 + 8*a**2 - 24*a. Let r(i) = i**2 - 3*i. Determine 24*r(n) - 3*s(n).\nAnswer: -93*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 28*k**3 - 1147*k**2 - 42*k + 137. Determine w(41).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487920 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from yypzzzzzpyzzzppp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 71*y**6\/15 + 93*y**3\/2 + 724*y**2. Differentiate j(v) with respect to v.\nAnswer: 1704*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/9 in -3\/5, -0.5, 2, 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2646225 by 1857.\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 + 85. Suppose 2*s + 2*f - 2 - 2 = v, -2*f = -s + 17. Solve -s = 2*b + 5*t, b - 2 = 3*t - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 128313992 or 128313996?\nAnswer: 128313996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 116 = 4*f + 2*s, s - 145 = -5*f. Suppose 0 = -2*y - 607 + 621. What is the highest common factor of f and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -10, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/5*(-45)\/(-18). Suppose 4*t + 9 + w = 0. Let h(f) = 6*f - 1. Let r(c) = -c + 6*c + 270 - 270. Give t*h(s) + 4*r(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*2*((1*sqrt(450))\/sqrt(9))\/(sqrt(80)\/(sqrt(24)\/sqrt(3))).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**4 + 3*h**4 - 8*h**2 + 1 + 5*h**2 + h**4 - 2*h**3 to y*h**4 + b + u*h**2 + g*h + k*h**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 140500 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-6)\/2)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436, -2987, -9876, -23275, -45356, -78291, -124252?\nAnswer: -185411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304735 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 112391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30190623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 2\/5, 21, -5, -16 in increasing order.\nAnswer: -16, -5, 2\/5, 21, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(2 - 7))\/1. Suppose w*c = 2*c + 12. Suppose c*k - 165 = 143. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 298.079 + -298. What is v rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 21 = k, -6*k + k + 84 = -4*g. What is the least common multiple of (129 + -1)*(-29)\/(-116) and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 14*m - 3. What is the remainder when 113 is divided by 0 + m + (16 - -21)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3*24*20\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -0.5, -1, 2\/9, 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 - 21*p - 25. Let f be n(-2). Let v(i) = -10*i**2 - 3*i + 3. Give v(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, q: 2, h: 2, p: 1, b: 1}. Give prob of sequence hnb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*b - 44, -188*f = 5*b - 187*f + 106 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:10 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 39, 25, 5, -21, -53, -91?\n\"Answer: -3*b**2 + b + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {r: 1, c: 2, g: 1, y: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -160, 32, 1 in descending order.\nAnswer: 32, 5, 2, 1, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4)\/((-126)\/324*(-16)\/84)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 7) in base 6?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1080 + 1080 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*j = 7*j + 392, 3*a + 4*j - 422 = 0. Calculate the remainder when a is divided by 273\/6 - (-1)\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/87, 3, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34201 (base 11) in base 6?\nAnswer: 1021042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88661\/2 + -44338. Which is the closest to h? (a) 2 (b) -4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*s + 2*y - 6, 5*s = 4*y + 22. Let f = 4 - 2. Solve t = 0, -f*t + 4 = -s*n + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/6 - 9*d**2 - 341*d\/6 - 94 = 0. What is d?\nAnswer: -47, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 763*k**2 + 135 - 137 + 56 wrt k.\nAnswer: 1526*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:28 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -0.06266?\nAnswer: 1.93734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 4*h - 34, k + 5219*h - 5217*h = -10 - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8864 or -8873?\nAnswer: -8864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2. Let i(w) = -236*w**2. What is i(d(r))?\nAnswer: -2124*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 5:58 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 28740*f + 103248450.\nAnswer: 2*(f - 7185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -5 (c) 6\/49 (d) 3\/1139 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 + 40*z**4 + 2 - 28*z**4 wrt z?\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/40*(-13440)\/(-13860).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(76)\/sqrt(2)*-4)\/sqrt(2)*-6 - (((sqrt(1539)*-2)**2 + sqrt(19))*-2 + 4)).\nAnswer: 26*sqrt(19) + 12313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -150, -1, -4 in ascending order.\nAnswer: -150, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + n**2)*(3 - 12 - 31)*(-5*n**3 + 0*n**3 + n**3).\nAnswer: 160*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:25 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001001100011 (base 2) to base 16.\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sueu. Give prob of sequence sss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 7*h - 4 - 6*h)*(-2*h**2 - 4 + 4) to w + x*h + y*h**2 + p*h**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - 56*q**2 + 60*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -2384168.\nAnswer: 2384168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, k: 2, g: 10, q: 4}. What is prob of picking 4 q?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*a = 31, -p - 7*a = -4*a - 23. What is the remainder when 205 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -29, -59, -101, -155?\n\"Answer: -6*t**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (9 - -2) + -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a + 90*a**2 - 82*a**2 + 41*a as f*a**2 + l + k*a and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a + 1. Let g be f(0). Solve -4*k - 4*m + 17 = g, k = -4*m + 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(sqrt(108) - 5*sqrt(108)))**2 - ((sqrt(143) - (-2*sqrt(143) + sqrt(143)))\/sqrt(11) - (sqrt(13) + sqrt(156)\/(sqrt(12)*1)))) + -3.\nAnswer: -419\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) -6069 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 15*o**4 + 1319*o**3\/3 - 1402*o**2 - 148*o + 6440\/3 = 0.\nAnswer: -161\/5, -10\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 3, r: 4}. What is prob of sequence mrm?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/36 + (-4457)\/9. Suppose -2*w + 7*w + 1475 = -5*r, 2*w + r + 590 = 0. Let s = w - d. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 26 - (-3144 - -3138)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 226, 4, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -826.5960338 to two decimal places.\nAnswer: -826.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34369561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 302 (c) -14 (d) -0.3 (e) 1 (f) 1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 335, 0.5 in descending order.\nAnswer: 335, 0.5, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 5*x + 6. Let s be k(3). What is the units digit of s\/1 + (-112)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 10:08 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60496534.\nAnswer: 2, 7, 4321181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c**2 - 2*c)*(-4 + 575*c**2 - 577*c**2 - 22).\nAnswer: -2*c**4 - 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 4*o**2 - 1. Let v be j(4). Let f = 40 + -42. Sort v, 1, f in increasing order.\nAnswer: f, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653952823393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = -x. Suppose 5*s + 4*d = x, -s + d = 3*s - 20. Suppose r + s*m + 1 = 3, -4*r - 3*m + 8 = 0. Solve -2*z - 36 = 5*w + r*z, -5*z = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -78 - (-49 - (25 + -52))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -14. Let y = 12 + i. Let n be y\/20 + 38\/10. Solve 0 = 3*p - 0*p - 2*k, 0 = 5*p - 2*k + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56085 + -0.59.\nAnswer: 56084.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 438, 434, 428, 420, 410, 398?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163\/25 + 668\/275. Let q = 12 - 3. Calculate the common denominator of h and q\/40*2*18.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t + 9. Let h(x) = x + 1. Let q(s) = -18*h(s) + 2*o(s). Let i(b) = 0*b + b - 2*b. Give i(q(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 371.0228 milligrams?\nAnswer: 0.0003710228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/40 and 61\/59235.\nAnswer: 473880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - g**3 + g**3 + (-5 + 5 + g)*(-g**2 + 3 + 3*g - 3*g)*(-3 - 1 - 7) in the form d*g**3 + v*g**2 + y + j*g and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217 - 4153*b**2 + 11955*b**2 + 217)*(-b**3 + 5*b**3 - 2*b**3).\nAnswer: 15604*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202*s - 361*s - 449*s - 369*s - 460 with respect to s.\nAnswer: -1381","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 4323*w - 8658.\nAnswer: 3*(w - 2)*(w + 1443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 20*d**2 - 326*d + 2035. Give m(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00088776702 rounded to 7 dps?\nAnswer: 0.0008878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134905.3000104 - -134930.3. Let c = 25 - f. What is c rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/7)\/d*d*d**(-3)*d)\/((d*d\/(d**(-1)*d)*d*d)\/d)**(-34) assuming d is positive.\nAnswer: d**(694\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 142*i**2 + 1. Let p(m) = -2*m. Calculate p(k(o)).\nAnswer: -284*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673, 680, 701, 742, 809, 908?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445987932 divided by -111496983?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 515. Let r be -6 + (-5 - -10) + -519*1. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -14. Let t = y + 0. Let i(m) = -2*m + 3. What is the lowest common multiple of i(1) and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 330\/23 + -11005\/759. Is w bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 637 and 9968413?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (0 + 4))\/2. Do n and -5\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478538 - 201120 = -14*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 668044 divided by 754.\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4446 = -16*f + 1602. Is f a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-1)\/2) + -2. Suppose w = 8*a - 5*a + 36. What is the units digit of 17 + 0*3\/a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-3*sqrt(136) - (sqrt(136)*4*4 + sqrt(136)))\/(-1*sqrt(128)*-1 + sqrt(128) + -4*sqrt(128)*-1)*4)**2.\nAnswer: 2057\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23008322 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 2*z + 1. Let w be h(-1). Let c be (1 + (-9)\/21)*w. Find n, given that -6\/7*n**2 - c*n**3 + 4\/7*n + 0 + 6\/7*n**4 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 at most -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 6:33 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.08 (b) 1\/4 (c) 4\/15 (d) 2 (e) 3 (f) 7 (g) -10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = j - 2*u + 11, 5*u - 6 = -2*j. Suppose -12576 = -8*g - j*g. List the prime factors of g.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5629, -22755, -51295, -91243, -142593?\n\"Answer: q**3 - 5713*q**2 + 6*q + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**7\/280 - 19*j**4\/4 + j**3\/3 - 145*j. Let w(v) be the third derivative of z(v). Let f(r) = 35*r**2. What is f(w(n))?\nAnswer: 2835*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**3 + 16*a**2 + 197*a - 591. Give j(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/52*(-4)\/(-3)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - u + 4*u - u - 4*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4546.9 + 4547. Which is the closest to 2\/7? (a) r (b) 1\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220603 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 397, -2, 26, -4, -1, 2, 3.\nAnswer: -4, -2, -1, 2, 3, 26, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y - 2513 + 2766 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 92.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) - 4180\/(-11). What is the greatest common divisor of a and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 79*v**2 + 27*v + 49*v - 156*v + v**5 + 28 + 24*v**3 + v**4 + 11*v**3 - 64*v**3 = 0.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000112912 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Suppose r*k - 22 + 7 = 0. Suppose -k*g = 2*g + 4*o - 1094, 0 = 3*g + 2*o - 658. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 364272557 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92987 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 124368, 497457, 1119268, 1989801?\n\"Answer: 124361*o**2 + 6*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218636 (base 14) in base 3?\nAnswer: 1010110212011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/11 (b) -2 (c) -18 (d) 6439\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - 45*w - 28. Let a be y(7). Suppose -54*s + 19 + 89 = a. Put s, 0.5, -2, -26\/9 in decreasing order.\nAnswer: s, 0.5, -2, -26\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6 and 56\/6477.\nAnswer: 12954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 19*d**2 - 75*d - 46. Let p be o(-22). Let z = -6 + 8. Suppose 5*k - 425 = 5*n - n, -p = -2*k - z*n. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2400 - 1635. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/28558 and 97\/220?\nAnswer: 3141380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 244097, 244101, 244105, 244109, 244113?\n\"Answer: 4*m + 244093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 905518747 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4500, -9002, -13512, -18030, -22556, -27090, -31632?\n\"Answer: -4*z**2 - 4490*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.071559156 rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 1. Let l be d(-5). Let j be (l\/(-10))\/(5\/25). Suppose 3*o = 2*w + 3*w - j, -2*w - 2*o = 0. Solve w = -3*b + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 29 - 23 + 14 - 2*p**2 to the form o*p + d + b*p**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 60. Let l(y) = -2*y + 41. Let z(q) = 5*c(q) - 8*l(q). Calculate z(31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(4*(-5)\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 3, a: 6, s: 3}. What is prob of picking 2 h, 1 y, and 1 s?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 59*y + 27. Let r be y\/(6\/(-19559997)) + (-33)\/(-66). What is r rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 22. Suppose 0 = 5*u - 5, 3*t + t - v = 3*u. Suppose 0 = -5*g + 3*o + 29, t*g + 2*o + 2*o = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 2. Let i be k(7). What is the tens digit of -4 + i + (35 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Suppose 0*t + 56 = t. Let l(x) = -t + 7*x + 120 - 64. Determine o(l(s)).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-15)*((-135)\/(-2))\/(-9). What is the greatest common divisor of 1350 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 376 or 5?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5110 and 4088.\nAnswer: 20440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i + 8. Let j = i - -54. Let t = j + -49. Solve -11 + 27 = -t*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 10:53 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let k be o(-5). Solve -3*s - k + 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 10*j = -42. Let r(z) be the second derivative of -3\/2*z**2 - 1\/4*z**4 - 4*z + 0 - z**j. Factor r(f).\nAnswer: -3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 183.\nAnswer: -91.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Let t(j) = -2*j**3 + 8*j**2 + 13*j - 12. Let c be t(5). Solve f = l*f - c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 25*v - 20*v + 555, -2*c - 9*v - v + 7*v - 333 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0. Let n = x - -0.3. Let b = -131 + 132. What is the closest to -0.1 in n, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 108\/11 (c) 0.05 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let g = q - -3. Differentiate 0 - g*r + 2 + 0 with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*i, -2*k - 7 = 5*i - 0*k. Sort -2, -3, i.\nAnswer: -3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87476 is divided by 1136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -72. What is the highest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5173 - 13173. Round a to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = -2*v. Suppose 2*k + k = 0. Suppose -17 = -w - k*w - 2*m, -v = -5*m. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 3*r**4 - 2*r**4 - 2*r**4 + 0*r**4 + 4*r**4 + (r**2 + 2*r**2 - r**2)*(-4*r + 4*r + 2*r**2) - 69*r**4 - 18*r + 18*r.\nAnswer: -66*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - 2*c**2 + 7*c**2 + 3 - 5 - 2*c**2. Let x be t(-1). Solve -x*o + 5 = -3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 639123612*r**3 - 779985734*r wrt r?\nAnswer: 3834741672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 12264?\nAnswer: -12262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 211519131133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34471 + -34471.5. Which is the smallest value? (a) -3\/10 (b) 1 (c) y (d) 0.1 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270094789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.68 - -40.32. Let n = -50.22 - -9.26. Let b = t + n. Round b to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.833295657 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10690, -21185, -31292, -40819, -49574, -57365, -64000, -69287?\nAnswer: -73034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*(-3 + 8\/3). Let v = -1 - m. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*c**2*d*p**2*v + 35*c**2*d*p - 299*c**2*p**3 + 116452*c*d*p**3*v + 37*c*d*p**2*v - 550*d*p*v wrt p?\nAnswer: -1794*c**2 + 698712*c*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 910\/180*15\/(-10) and 58\/165?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/216 and 23\/68715.\nAnswer: 549720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/1557381 and -55\/12?\nAnswer: 6229524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -1*sqrt(110)*-1 - sqrt(110)) + sqrt(110))\/(sqrt(40)\/(sqrt(20)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/15*(-20)\/3. Let c be 1*(-2)\/y*2. Let -5\/4*z**2 + 0 - 1\/2*z - 3\/4*z**3 + 1\/4*z**4 + c*z**5 = 0. What is z?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 4) + -29 + 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -331.2 * 2.\nAnswer: -662.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let a(d) be the third derivative of d**5\/30 - 55*d**4\/2 + 397*d**2. Calculate a(z(t)).\nAnswer: 8*t**2 - 1320*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258460 to the power of 1\/2, to the nearest integer?\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 762945, 762944, 762943?\nAnswer: 762942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 26 = 4*r, -2*r = -2*w + 7*w - 86. Are w and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 11. Let p be b(9). Suppose 0*g - 5*g + 25 = -4*r, p*g = -5*r - 56. Is r equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-two fifths of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -21*z - 57. Give l(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 - 5*f. Let x(z) = -5*z**2 - 8*z. Let j(c) = 8*q(c) - 5*x(c). Let y(h) = 5*h. Give j(y(k)).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0008 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138491730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -114344 (base 5) in base 6?\nAnswer: -32045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 152.9 (b) -8.9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*i - 159*i**2 + 460*i.\nAnswer: -159*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -14 - 17\/3*p**3 + 0*p**2 + 20*p. Differentiate o(u) wrt u.\nAnswer: -34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**8\/2352 - x**7\/245 - x**6\/105 + 4*x**5\/105 + 2*x**4\/7 + 16*x**3\/21 + 13*x**2. Factor i(b).\nAnswer: -(b - 2)*(b + 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 11*v**2 + 11*v + 10. Let q be l(-10). Suppose -4*j - 4*h = 24, -3*j - 3 = -q*j - 2*h. What is the nearest to -1\/4 in 1, j, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z + 346 + 147 = 0. Let a = -29 - z. Suppose 2*q + 4 = 3*q. Solve -q*r + 4 - 20 = a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6476, 6480, 6486, 6494, 6504, 6516?\n\"Answer: u**2 + u + 6474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*o + 4*s, 219*o = 224*o + 5*s - 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Let k(y) = 6326*y. Calculate f(k(v)).\nAnswer: -80036552*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -25.\nAnswer: -25, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-3 - -1) + 2 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 != 516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 16*t**2. Suppose 5*f = -0*f + 50. Let s = f - 11. Let l be h(s). Calculate the highest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/23257 and 19\/29029?\nAnswer: 51932881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 13*o - 12*o - 17, -3*o = -5*i - 47. Solve 4*g - o = 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/2497 - 226\/2497. Which is the smallest value? (a) q (b) 36 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o**3 + 1061*o**2 - 475*o - 752. Calculate d(96).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 28.3. Let w = -3.475 + 3.3. Let l = w - 0.025. Put k, -22, l in descending order.\nAnswer: k, l, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n + 2. Let t be 2 - (-3 + 3 - 1). Suppose 30 = 5*r - 2*v, v + 6 = 4*r + t*v. Suppose r*a - 6 = 2. Calculate i(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - d)*(12 + 23 - 13).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 511*n**3 + 1 + 518*n**3 + 5*n**4 + 2*n to b*n + m*n**3 + z*n**4 + s*n**2 + j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) 0.05 (c) -1\/64 (d) -3\/7 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 2*a - 6*r + 3*r - 25 = -2*r, -5*a - 183 = -118*r for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 32*j - 20*j + (3 + 5 - 6)*(-j + 4 - 4) + (0 + 2*j + 0)*(2 - 1 - 2) - 3*j + 2*j - j - j + 3*j - 4*j to the form i*j + a and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 0.1 (c) -17 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.9 and 859584072.2.\nAnswer: 859584070.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 2. Let q(h) = 26*h + 23. Calculate 2*q(b) + 18*y(b).\nAnswer: 34*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12030 - -1317. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**3 + 4 + 33*d**3 - 4.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(2\/7))\/(n*(n**(1\/17)\/n)\/n))\/(n**(-6)*n**(2\/5)\/n)*n**4*n**(-2\/17)*((n**(-1\/4)*n)\/n*n)**(-5) assuming n is positive.\nAnswer: n**(23703\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (-15 - (-16 + 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 245572, 245402, 245232, 245062, 244892?\n\"Answer: -170*l + 245742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -t + 20 - 6, -5*s = 3*t - 64. Solve -s - 4 = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 0.4, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -237\/10 smaller than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 68 + 24 + 20 + 6*p**3 - 4*p**3 - 5*p**2 as h + t*p**2 + w*p + v*p**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/(4\/(-24)). Let u be 5\/(-30) - y\/3. Suppose -u*q**2 + 0*q + 0 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.541 - -5.4. Let c = -0.14099886 - z. Round c to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 - 2*j**2 - 4*j + 1. Let a be s(-2). Solve -a = -c + 6*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, x: 1, s: 3, t: 8}. Give prob of sequence xvt.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3.7. Which is the closest to 1? (a) 0 (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from kefoboe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - 43197*x + 129575. Give b(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 29 = 51. Let j = 263 + -260. Sort j, -3, o, 4 in descending order.\nAnswer: o, 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2180 = 3*b, 4*b = -3*q + b - 1632. Let f = q - -1771. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - w**2)*(-1 + w + 2 + 1).\nAnswer: w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13285 is divided by 3318?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8920\/30*(-6)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 15 = -11*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 6*f**2 + 9*f + 80. Let o = -653 - -648. Is g(o) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -6. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 6 = 3*t. Let k = 2 - 20. Let l be (-1 - (-42)\/k)\/(4\/6). Put 5, l, t in increasing order.\nAnswer: l, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 0 - 40*w**2 - 2 + 41*w**2 - 6*w. Let l be m(7). Solve 3 = 3*o - 3*t, l*t = -0*o + 3*o - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.27 - -26.27. Let w = -19 + n. Put 2, 0.1, w in increasing order.\nAnswer: 0.1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17183 + -0.17183. Which is the nearest to 0? (a) 0.2 (b) -1\/7 (c) x (d) 15\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1581351613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/4 + 22*g**4 + 339*g**3\/4 + 63*g**2 = 0. What is g?\nAnswer: -84, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 2:50 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3023 (base 4) to base 3.\nAnswer: -21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 39 - 9. Suppose -5*s + 16 = -d - 7*s, -4*d - 29 = s. What is the lowest common multiple of -2 + (3 - (d + -3)) and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122710 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 811684?\nAnswer: 9740208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*w - 3*w - 51 = 0, -2*w + 105610 = 105620 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/6)\/(4\/18). Let q = 8 - 13. Let x = -8673 + 8670. Which is the second smallest value? (a) t (b) q (c) x (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 2:38 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-48267)\/(-2595) + (-26)\/10 and 1932.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/9)*u)\/u**(-5\/2)*(u**(-2\/7)\/u)**(1\/7))\/(u**(-2)*u*u**(-2\/21))**(-12\/5) assuming u is positive.\nAnswer: u**(2053\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-2 - (-3)\/(24\/40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*z - 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/9 (c) -10\/19 (d) -3 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c. Let f(l) = -3*l. Let y(i) = 5*f(i) - 2*t(i). Let k(z) = -206*z. What is y(k(w))?\nAnswer: 206*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = 5*w. Suppose -4*n = 18 - w. Put 1, -2, n in decreasing order.\nAnswer: 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by -5\nAnswer: 186\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38431, -76860, -115289, -153718, -192147, -230576?\nAnswer: -269005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, -3, 65.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 150. Let p = k + -91. What is the lowest common multiple of 42 and (-1 + p\/(-10))*385\/(-11)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*2*-4 - sqrt(605))**2 + 2 + sqrt(605)*-2.\nAnswer: -22*sqrt(5) + 49007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2. Let m = 6 - 0. Let d(q) = -3*q + 3*q + m*q. Give d(i(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6148*s + 982027 - 69535 = -3203*s + 127008 for s.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 37. Let x be o(38). Let r(u) = -u + 1. Give r(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**26*d*d)\/d**(6\/17))\/((d*d**(-1\/26))\/(d**(-15)\/d)) assuming d is positive.\nAnswer: d**(4723\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172619519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 274. What is the remainder when g(8) is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 4. Let x be c(-4). Let p be -26 - ((-8)\/x - 1). Let q be (p + -2)*(5 + -25). What is q rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1261 + -1273.4. What is the third biggest value in 1, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/342 and 125\/4788?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 + 23*z**2 - 20*z - 117. Calculate a(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + w - 9. Let v be t(-7). Does 11 divide v\/8 + 5\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) -2\/7 (c) -188 (d) -3\/10 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*b**3\/11 + 74*b**2\/11 - 20*b\/11.\nAnswer: -2*b*(b - 5)*(7*b - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/4 + 79*u\/2 + 159\/4 = 0 for u.\nAnswer: -1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 500. Let p be (1*3 + -1)*-9*(-128)\/576. Put -5, p, -4, j in ascending order.\nAnswer: -5, -4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/9 + 254\/3. Suppose -s*v + 108 = -82*v. Suppose y - 118 = -4*r, -r + 2*r - v = 3*y. Calculate the greatest common factor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h + 261. Calculate the remainder when (-110 + -1)*2\/(-6) is divided by v(-50).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t + 235*t - 32*t = -265*t - 19928 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18160321523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**3 + 4253*c**2 - 14*c + 5. What is z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 880746 and 880721 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/37 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(975)*1*-4 - (sqrt(975) + (sqrt(975) - (sqrt(975)*-2 - sqrt(975))))*-1)\/((sqrt(54)\/sqrt(18))\/(sqrt(45)\/(sqrt(15)\/sqrt(3)))))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7151 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -95 and -11.25.\nAnswer: -106.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -2 + 2 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 19 + (-5 + 13 - 13)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(11)*-1 + (sqrt(88)\/sqrt(4))\/sqrt(2) + sqrt(11) - ((-4*sqrt(77)*2 - sqrt(77)) + sqrt(77))\/sqrt(7))*6.\nAnswer: 30 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -403235 by -6.\nAnswer: 403235\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 361\/259 - 152\/37. Calculate the common denominator of -17\/149 and p.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 6880 = 286. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/16 + 10\/24. Let i be (-5)\/((-15)\/(-4))*(-9)\/12. Let l = 0 - -0.1. What is the second smallest value in l, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.37 in -1, -0.3, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 2*n - 11*n**3 + 3*n**3 + 3*n.\nAnswer: -8*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -271243 - -420957?\nAnswer: 149714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 28*i**2 - 180212*i + 180194*i in the form p*i + m*i**2 + x and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7920) - -1*sqrt(7920))*3*5)\/(-3*(1*(-2*sqrt(891) - sqrt(891)) - sqrt(891))))**2.\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 17. Let s(q) = 26*q**2 + 6*q - 48*q**2 + 13 + 21*q**b. What is s(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101 + 11?\nAnswer: -10110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s**3 - 1080427*s**2 + 1980805*s + 360146 = 0 for s.\nAnswer: -180073, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -598991, -599240, -599651, -600218, -600935, -601796?\n\"Answer: p**3 - 87*p**2 + 5*p - 598910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - 0) + (7 - 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*h**2 - 17*h**2 - 21*h**2 - 24*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4060 divide 136638111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81637*h + 5624 = -81485*h for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4559023520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 5) in base 10?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 1. Let o(q) = 5*q - 30. Give -4*b(t) + o(t).\nAnswer: -3*t - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 + j**2 - 4*j. Let k(u) = -6*u**3 - u**2 + 9*u - 1. Let n(h) = 2*k(h) + 5*o(h). Let z = 2 - 0. Is 10 a factor of n(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3672 divided by 17.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985245511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -376626?\nAnswer: 376622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -41*r**3 + 2*r**2 + 64. Let i(b) = -41*b**3 + 2*b**2 + 65. Let v(o) = 6*i(o) - 7*l(o). Find the first derivative of v(n) wrt n.\nAnswer: 123*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 - 26*x**3 + 198*x**2 - 558*x + 540.\nAnswer: 2*(x - 30)*(x - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*k - 13 - 13, k + 9 = -2*i. Let h be -2 + -2 + 4 + 3. Let x(t) = -5*t + 3. Let q be x(h). Is k at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 159, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, 3, -128727, 2\/5 in descending order.\nAnswer: 3, 2\/5, 0, -0.2, -128727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12*2)\/(124\/(-2325)*27\/(-72))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 9:49 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4580 and 3028.8.\nAnswer: -13871904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 22*k + 21. Let x be o(-23). Sort -2\/3, 5, x, -3 in increasing order.\nAnswer: -3, x, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/154 or 1?\nAnswer: -9\/154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 498787 + -498784.55359. Let s = c + 3.55395. Let f = -6 + s. What is f rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*c + 2 = -3*b, -4*b = c - 23. Solve b*f = 3*a - 21, 3*a + 5*f + 12 = 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300 - 43?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-8) - (-33)\/(-44). Put 7, -4, x in descending order.\nAnswer: 7, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 126, 183, 226, 249?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193278 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8036*n - 8044*n - 272 = 0. Let t(i) = i**2 + 30*i - 133. Give t(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -1004?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 9) + (18 - 17).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225 - -149. Calculate the remainder when 2 + ((-296)\/(-5) - z\/95) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -682962 less than -682963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52251676 to the nearest integer?\nAnswer: 7229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -0.1015.\nAnswer: 4.8985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**4\/12 + 3*j**3\/2 + 3*j**2\/2 + 2*j. What is the tens digit of z(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3053, -2954, -2871, -2798, -2729?\nAnswer: -2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -47. Let t be a\/(-18)*4\/14. Let d = -0.54 - -0.54. Sort d, t, 4.\nAnswer: d, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 + w**2 - 6*w**2 - 1912*w + 1923*w + 7*w**2.\nAnswer: 2*w**2 + 11*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/879 or 1?\nAnswer: -2\/879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-30))\/((-6)\/9*-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195966 divided by 382.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*f - 405*f - 444*f + 2160 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682 = 23*p - 34814. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**2 - 19. Let l(d) = d**2. Determine v(l(h)).\nAnswer: 6*h**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)\/(4\/(-1316)). Let o = -185 - p. What is the highest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 - 906*y + 19027. Calculate p(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 4*g + 16 - 121, 0 = 4*z + 563 - 567 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12801\/5 or 2560?\nAnswer: 12801\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)*a**20)\/((a\/a**(-4\/27))\/(a*a\/(a**(-11)*a))))**(15\/2) assuming a is positive.\nAnswer: a**(1475\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1996 and 796.\nAnswer: 397204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/22997 and -34\/47153.\nAnswer: 17776681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 8*a**2 + 8*a + 6. Let q be w(9). List the prime factors of 1791\/2*(7\/(-3) - q).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j*q**4 + 2*j*q - 8*j + 5536*q**4 + 6*q**3 - 154*q wrt q?\nAnswer: 24*j*q**2 + 66432*q**2 + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 3511*l**2\/4 - 756992*l + 1517493.\nAnswer: (l - 4227)*(l - 2)*(l + 718)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248245, 248241, 248235, 248227?\nAnswer: 248217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129813*t**3 - 4*t - 3838204 wrt t?\nAnswer: 389439*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 54617 (base 15) to base 11\nAnswer: 173394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 - 480 = -11*x - 787 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10100101?\nAnswer: 10100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133*l**3 - 41*l**2 + 2?\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -270510 at most as big as 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 33*j**2 + 75*j + 223. Let a be k(-31). Is -180 not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -3. Let t = -8250 + 8250. Solve -2*n - 5*r = 11, -n - m = 5*r - t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -258, -253?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 - 2*s - 1. Let k be f(-1). Let g = k - 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17443?\nAnswer: 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32229 divided by 9\nAnswer: -3581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 5) + (0 - (-42 + (11 - 29)))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 - 2.2. Let q = m - 0.92. Which is the biggest value? (a) q (b) -0.3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f*k**2*l + 136*f*k**2 - 66*f + 118*k**2*l + 462*l wrt k?\nAnswer: -6*f*k*l + 272*f*k + 236*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 22*m - 3. Suppose -4*x - 98 = -p, 2*x - 1611*p + 76 = -1606*p. What is t(x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13\/3, -5.5, -39, -0.1 in decreasing order.\nAnswer: 5, -0.1, -13\/3, -5.5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-6\/7)*y)*y*y\/((y*y*y**(-8\/7))\/y))\/((y\/y**(-29))\/y**(-6\/11)) assuming y is positive.\nAnswer: y**(-314\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2067\nAnswer: -4\/2067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3643846 rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**3 + 16*a**2 - 802*a + 147. Calculate s(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 563*m - 15*m + 258*m + 279*m + 5*m - 2*m - 2*m + (1 + 2 - 2)*(0*m - 6*m + 4*m).\nAnswer: 1084*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 20 = -5*g. Let x(o) = -o**3 - 16*o**2 - 41*o - 26. Let d be (-11)\/((-110)\/(-126)) + 2\/(-5). Let m be x(d). Solve m*b = -3*b, n - g = 5*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 15) in base 3?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**2\/2 + 6. Let y(s) = -s**2 + 5*s - 4. Let d be y(4). Let v be x(d). Is v greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**2\/2 + 7*g + 45. What is u(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/2 - 3*w**2\/2 - 12. Factor b(s).\nAnswer: -3*s*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n**2 + n + 12. Let k be j(0). Suppose 4*f - k = -2*f. Suppose f*d + 100 = 7*d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - 1*sqrt(1458))\/(-2*sqrt(144)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2044 by 2.\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + -1*sqrt(125) - (2 + 1 + sqrt(125))) - (2 + -4*2*sqrt(125)*-4))**2.\nAnswer: 2380*sqrt(5) + 144549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 8720*m**2 + 345600*m.\nAnswer: 2*m*(m + 40)*(m + 4320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108924 less than 108925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-115)\/(-25) + -5)*(-1)\/(-4). Is r less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(19) - (sqrt(19) + -3*sqrt(19)*2))**2 + -1 + ((sqrt(19) + sqrt(171) + 0 - sqrt(19))**2 - (sqrt(95)\/sqrt(5)*-2)**2).\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3610 + 108790 = 5*s, 89920 = 4*d - 5*s. What is d rounded to the nearest 100?\nAnswer: 22500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:32 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 d when four letters picked without replacement from bdbeeeeeee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 4:38 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-168)\/(-2)*1 + -2. Suppose -2*x + 4*x - m = 0. What is the remainder when x is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 5. Let m(u) = -2*u + 3. Let l(g) = 5*m(g) + 3*p(g). Let x be (0 + -1)\/((-5)\/25). Let d(f) = -x*f**2 + 4*f**2 - 3*f**2 + 3*f**2. Give d(l(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -26. Suppose 17*u + 22 = 73. Solve -u*r - l = -5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(243) + sqrt(30)\/(sqrt(100)\/sqrt(160)))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/(-4144)*(-4)\/(-6)*40.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-22)\/v**(2\/11))\/((v**(-2\/31)\/v)\/(v*v\/(v**(-7\/6)\/v)*v)) assuming v is positive.\nAnswer: v**(-32635\/2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235936272 by -20438.\nAnswer: -11544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 2*i**2 + i**2 + i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3, -0.5, -189?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765 = -547*l + 548*l. Is 45 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 0.3 (b) 14 (c) 2 (d) 81 (e) 291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2 + 2. Solve 3*w + k = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*c - 13. Let w be -3 + (c + -2 - 1). Calculate the greatest common divisor of w and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 7*g**2 - 6*g + 353. What is r(-10)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) 2\/7 (c) 0.4 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**3\/6 + 15*n**2 + 288*n - 1535. Suppose a(m) = 0. What is m?\nAnswer: -48, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -692.\nAnswer: 1\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + (-4 + -1 - -10) + 150 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdt when three letters picked without replacement from {d: 3, t: 7, m: 6, i: 1}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 2*x - 3*x)*(0 + 0 + 1) + 5 - x + 5 - 12 + (0*x - 5*x - 4*x)*(2 - 2 - 3) as o + u*x and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42740.2789 - 42738. What is r rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -3 - (1 + (9 - 6)) - 14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -342, -1079, -2518, -4893, -8438, -13387?\nAnswer: -19974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4)*u**9)\/(((u*(u\/(u**(1\/2)*u))\/u)\/u)\/(u*u\/u**(3\/5)))*u**3\/(u\/(u*u**(-2\/5)*u))*u**(-1\/2)*(u\/(u*u*u**(-9)*u))\/u assuming u is positive.\nAnswer: u**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*g*v**6 + 2*g*v**2 + 3*g*v + 9*g - 36864*v**6 + 1846*v**2 wrt v.\nAnswer: -3000*g*v**3 - 4423680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 20)*10\/20. Let k = 18 + o. Let d = 7 - 4. Calculate the remainder when k is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*l**4 - 5*l**3 - 4*l**2 + 884*l + 1.\nAnswer: 792*l**2 - 30*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + -9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407282793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 1 - (-36 + 48).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107849481.\nAnswer: 3, 35949827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -3*q - 1\/20*q**5 + 2\/3*q**3 - 1\/4*q**4 + 2*q**2 + 0. Determine x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -713 - -1435. What is the remainder when h is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**2 + 10*y - 4. Let r(j) = -24*j**2 - 31*j + 12. Let f(p) = 10*c(p) + 3*r(p). Let s be 1\/(-1) - (2 - 7). Give f(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/6, 2, -1\/7, 14, -4\/1221?\nAnswer: -4\/1221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose y = h - 3*h. Solve h = i + 3*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 305 + -16467?\nAnswer: -16162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058181037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/11)*v)*v**(1\/6)\/v)**(-36)*v\/(v**6*v)*v*v\/(v*v*v*v\/v**1*v*v*v)*(v**(1\/4))**8 assuming v is positive.\nAnswer: v**(170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q. Let h(b) = 4742583*b**2. What is r(h(p))?\nAnswer: 18970332*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1375 = 805. Suppose 5*i - p - 1566 = 0, 5*p - 498 = -3*i + z. Is i at least 315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -116, -21, -26, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1526, 2542, 13602, 35152, 70690?\n\"Answer: 583*y**3 - 2*y**2 - 7*y - 2100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14 + 6 = 0. Suppose 2*r + 22 = o. Find the common denominator of -91\/4 and (-54)\/r - (-6)\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 51 + -8 + -11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 i when three letters picked without replacement from {i: 6, m: 7, a: 1, t: 1, x: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(84) - (sqrt(84) - 6*sqrt(84)*-2))*1)\/(sqrt(300) - (sqrt(300) + (sqrt(300) - (sqrt(300) - sqrt(300)*-2 - sqrt(300))*5))).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2541763 or -2541764?\nAnswer: -2541764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -42, 0.039, 1, 0.3, -5\/6?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16336445 to the nearest integer?\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1449 + 1450. Let j(g) = -6*g**3 - 2*g**2 + 2*g - 1. Let s(l) = -l**2 + l - 1. Determine z*j(d) - 2*s(d).\nAnswer: -6*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 + k + 11. Let i be j(-5). Let z = 111 - i. What are the prime factors of 8\/z*(5 - 65)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 38*d + 262. Let y be w(29). Sort 5, 2\/13, y, -1.1 in descending order.\nAnswer: 5, y, 2\/13, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37809?\nAnswer: 3, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a - 2053?\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - ((65 - -9) + -57).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/6*-1*(-12)\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 7*u**2 - 8*u + 1. Let m be x(8). Is 13 a factor of (m + -5)\/(2\/(-13))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 22*q - 12. Let u(m) = -m**2 - 7*m + 4. Let o(g) = 2*t(g) + 7*u(g). Let d be o(-5). What is the units digit of (-1)\/(1 - d\/2) + 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 12. Let g be k(-8). Suppose -37 = g*o + 11. Let a be 15\/(-6)*o\/(-20). Does -1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33497 - 28525. Is 243 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12220888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 81*c - 311. Let s be r(4). Suppose -n - 5 = -2*x, 3*n + 4*x = 12 + s. What is g in 15\/7*g**2 + 0 + 0*g + 18\/7*g**n + 3\/7*g**4 = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*o**3 + 2*o**2 + 261?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110820599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - -5) + -2983*(-6 + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2925442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5 - 18*p**4 - 14*p**3 + 18*p**2 + 16*p = 0.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -1\/3310 (c) -4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 58 - -3*3\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -51, -42, -29, -12, 9, 34?\n\"Answer: 2*f**2 - f - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*j*o**2 + 3391*j + 3*o**2 + 2*o wrt o?\nAnswer: 36*j*o + 6*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*c, -5*c - 84 = -4*j. Let b(r) = 16*r - 5. Calculate the remainder when b(5) is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(-9)\/(-306)*16\/92?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1394 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(-5*(sqrt(55) + sqrt(55)*1 + sqrt(55))\/sqrt(11) + ((5 + sqrt(20)\/sqrt(4))**2 - (sqrt(55) + sqrt(220))\/sqrt(11)))*6.\nAnswer: -48*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*y + 10, y = -4*c + 2*y + 20. What is the remainder when 27 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*p - 0. Let g(k) = 9 - 4*k - 12 + 21*k**2 + 6. Calculate the least common multiple of g(1) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7485459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 276 - 258 = -5*n, n + 6 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54 + (4\/18 - (-28)\/36). Let g = o + -58. Is 611 + 5 + g + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361441*f**3 + 4*f**2 + f**2 - 5*f**2 + 361417*f**3 - 722853*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/135)\/(4\/(-4614)) - (-184)\/(-1104). Let k be ((-20)\/6)\/(4\/30). Is z bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - l = -2*n + 19, 36 = 3*n + l. Suppose -a - 1 = 0, w = 3*a - 1 + 10. Let k(h) = h**3 - 7*h**2 + 4*h + 23. Let s be k(w). Is s not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:20 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-1\/2)\/t*t))\/(t\/(t**0*t))*(t*t**(-1))**(1\/49))\/((t**(-3\/8)\/t)\/(t*t*t*t**(-3\/4)\/t))**(1\/2) assuming t is positive.\nAnswer: t**(45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*i + 146*i + 87*i)*(8*i**3 + 6*i - 6*i) - 3 + 3 - 2*i**4.\nAnswer: 2030*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i. Let x(w) = -3*w - 170 + 34 + 44 + 94. Let z(y) be the second derivative of y**2\/2 + y. Let t(f) = 3*x(f) - 6*z(f). Determine t(l(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 37*k - 489. Determine l(14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39690 and 28.\nAnswer: 79380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*u**5 - 21*u**5 + 1 + 237*u**5 + 68*u - 2*u**4 + 2*u**4 wrt u.\nAnswer: 3860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-270))\/((-46)\/60 - 172\/430).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - (-21)\/((-63)\/(-942))) + 1 + -8 is divided by 85.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/(-1806) + (-1088)\/714\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 0*x**2 + 0*x**2 + 8*x**2.\nAnswer: 8*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2667, -3, 4, 5 in decreasing order.\nAnswer: 2667, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 + 439 - 219 - 23*x.\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0*g**5 + 0*g**2 + 0 + 0*g**3 + 1\/4*g**4 + g + 1\/30*g**6. Find the third derivative of w(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 6*z)*(-7*z**2 + 8 - 8) + 13*z**2 + 13*z**2 - 4*z**2 - z**3.\nAnswer: -29*z**3 + 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -24.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15565070 rounded to the nearest one hundred thousand?\nAnswer: 15600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*u = -435 - 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255\/20 + 35\/28 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*n**2 + 93*n**2 + 37*n**3 - 16 - 302*n**2 + 17*n**2 + 99*n**2.\nAnswer: 37*n**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27662208 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**7\/840 + 7*i**6\/360 + i**5\/120 + i**4\/8 + 38*i**3\/3 - 6. Let r(s) be the third derivative of o(s). Give r(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -12658, -13?\nAnswer: -12658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1.06?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31073 - 1950. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 43*a - 75. Let p be l(20). Let i = -42 + 80. Let n = i - p. What is the remainder when n is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 18 + 20 + z - 85 + 25 + 21. Let g(y) = 2*y**2 - 6. What is -g(w) + 2*r(w)?\nAnswer: -2*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:53 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -10. Let k = f + -9. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77813.\nAnswer: 77813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5296953 divided by 1083?\nAnswer: 4891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 160111464.6 rounded to the nearest 100000?\nAnswer: 160100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*g - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 449*n**2 - 224*n - 1236. Determine t(225).\nAnswer: -1011","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 2)\/(8\/(-184)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 3*c**2 - 3*c + 1. Let p be w(-5). Let q = p - 38. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 3. Let r be 1 + 44 - 6\/2. Let p = r + -2. What is the remainder when p is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 smaller than 9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**3\/3 - p. Let t(d) = d. Let i be t(2). Let k(m) = 2*m + m + m + i*m. What is k(b(u))?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**7\/70 + 11*x**6\/40 + 6*x**5\/5 - x**4\/2 - 16*x**3 - 113*x**2. Find r, given that a(r) = 0.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6770 <= 6767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35454, -70876, -106298, -141720?\nAnswer: -177142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/107 or -1?\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8911\/(-268)*(24\/(-21))\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -44*p + 1130. What is c(28)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 14248, 2627 in ascending order.\nAnswer: -12, 2627, 14248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*a**2 - 16*a**4 + 36*a**2 - 43*a**4 + 6 wrt a.\nAnswer: -1416*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8913403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2 (b) -1\/11 (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4) + (-5)\/(-9 + 19). Let m = 0.1 + -0.5. What is the nearest to 1 in a, 4, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 71.52464 days?\nAnswer: 6179728.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 766113929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2 = 3*z + 17, 5*m - 25 = 5*z. Let j(g) = -g**2 - 9*g + 2. Give j(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + b**2 - b + 1. Let p be ((-5)\/(-25))\/((-3)\/(-15)). Give y(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 16*q**2 - 40*q + 518. Let x be v(15). Solve 0 = 147*r - x*r - 24 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 140\/(-30)*9\/(-2). Calculate the highest common factor of 152 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75*150\/(-5000)*-8\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -559 + 364. Put 2, d, 1 in decreasing order.\nAnswer: 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27021.\nAnswer: 3, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 14*a + 6. Let k be o(-14). Suppose 0 = k*v - 4*v - 120. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1881\/(-44))\/19)\/(6\/(-16))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 5\/6*t**3 - 5\/3*t**4 + 5\/2*t**2 - t**5 + 0 + 6*t. Factor a(v).\nAnswer: -5*(v + 1)*(2*v - 1)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26507 is divided by 1559.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8758 + 0.0224.\nAnswer: -8757.9776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6678576 and 27?\nAnswer: 20035728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*(-31 + 38610\/1134).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(-2\/21)*i**(6\/7) assuming i is positive.\nAnswer: i**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 2142?\nAnswer: -642.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45403578 is divided by 11350884?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 15 = 6*s + 3*b - 21, -3*s = -4*b + 146 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.7 - -1.7. Let j = d + 2.1. Let y = j + 10.8858. Round y to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-6 - -11 - 15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22943*o*u*y**2 + 265*o*y**2 - 2*o*y + 92*o + 9*u**2*y**2 with respect to u.\nAnswer: 22943*o*y**2 + 18*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 8*a - 10. Let w be m(-3). Suppose 15 = w*u - 0. Solve k - h + 3*h = 6, -u*k - 5*h + 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 943491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {w: 14, p: 1, g: 2}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7628 in -2, -0.4, 0.3, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -220, -546, -952, -1432, -1980, -2590, -3256?\n\"Answer: p**3 - 46*p**2 - 195*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535909.\nAnswer: 11, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/i**(-3\/7))\/(i**(-1\/2)*i*i\/i**(-4)) assuming i is positive.\nAnswer: i**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 10 - 2)*(-3 - 2*d + 3) in the form u*d + a and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 12 + 3\/2*t**3 + 4*t**2 - 9*t + 1\/12*t**4. Let u(y) be the first derivative of s(y). Give u(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-d + 1 - 1) - 1005*d - 13330 + 13330.\nAnswer: -1003*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3118*i**2 - 24*i**6 + 7728229*i**5 - 7728229*i**5 wrt i.\nAnswer: -2880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 45 (b) -5\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:22 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2. Let l(k) = -3*k + 4*k - 3*k + 3*k. Let r(a) = 2*a. Suppose 5*q - 2 - 8 = 0. Let t(v) = q*r(v) - 3*l(v). What is t(n(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = 448 + 96. Let o be ((-4)\/(-18) - a\/180)*1. Factor 0*l + 0 + 0*l**2 - o*l**3.\nAnswer: -3*l**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5176 and 456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3924, 3825, 3726, 3627?\nAnswer: 3528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-560)\/168)\/(10\/(-144)). Solve z = 37*x - 13*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 196 - 110. Let v(n) = 92*n - 178*n + w*n - 72*n**2. Let j(d) = 4*d**2. Calculate j(v(a)).\nAnswer: 20736*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367820954 to the power of 1\/2, to the nearest integer?\nAnswer: 36984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8409088*3\nAnswer: -25227264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and (-13)\/(156\/560)*(-6)\/4?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24325 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620895470 to the power of 1\/3, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwdzdkddktktzi. What is prob of picking 1 i, 2 z, and 1 k?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6374*z = -1326*z - 4255*z + 382502 - 11897 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.88, -0.1, 4, 2\/19, 2\/3, 3\/5 in decreasing order.\nAnswer: 11.88, 4, 2\/3, 3\/5, 2\/19, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10152591)\/12 + (-20)\/(-16). Let y = -15026048 - v. What is y rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 30824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*n - 2, -2*j + 5*n = -14. Let o(y) be the third derivative of -y**j + 0*y**4 + 0 - 1\/15*y**3 + 1\/75*y**5 - 1\/525*y**7 + 0*y + 0*y**6. Factor o(z).\nAnswer: -2*(z - 1)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*2 + 0 + ((1 + sqrt(605))*5 - sqrt(605))**2)*-5.\nAnswer: -48525 - 2310*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12396.2937 from 3249386.\nAnswer: 3236989.7063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 33. Let s(k) = -2*k. Let r be s(4). Let p = r + 13. Sort x, p, -4.\nAnswer: -4, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007356995 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-24)*3)\/((-2)\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4838)\/(-10) - (-25)\/125. Let f = -459 + u. What is the remainder when 120 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f + 1. Let g(y) = -2*y**2 + 5*y + 8. Calculate -g(j) - 4*q(j).\nAnswer: -2*j**2 - j - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/54*6\/(-5). Let l = -2507.1 - -2507. Which is bigger: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 divided by 18?\nAnswer: -205\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 15 - 2*a**2 + 53 - 108 - 2*a**3 + 32*a = 0?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2, 7*l = 5*p + 2*l + 10. Suppose -11*c + 6*c + 10 = p. Let d(o) = 103*o + 4. Is d(c) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u - 6589 = 5785. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/70*(-15)\/(-1)*7\/(-21)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06714897 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in 2\/9, 0.09, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2*sqrt(16)*5*-4)\/(sqrt(96)\/(sqrt(12) - (-4*sqrt(48)\/sqrt(4) + sqrt(12)))))**2.\nAnswer: 51196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0 - 10 = 0, 0 = f - 3*w - 215. Let u = f + 288. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*z + 3*r, 4*r - 3 = -7. Let y be 0\/(-1)*((-5)\/z + 0). Let s = 92 - 90. Which is the third smallest value? (a) y (b) 0.3 (c) -2\/3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12875 and 1339.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8984*v + 4301 = 18311*v - 9176*v - 2041 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6831131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h - 1964 = -4*q - 16*h, 2*q = -4*h + 994. What is the greatest common factor of 29 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*c**2 - 79*c**3 - 78*c**3 - 2*c + 5 + 52*c - 26*c + 153*c**3.\nAnswer: -(c - 5)*(c + 1)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -38, 862, -3, 3.\nAnswer: -38, -5, -3, 3, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/568887768 and 137\/142221942.\nAnswer: 568887768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, -0.8, 2, 1\/4 in decreasing order.\nAnswer: 8\/3, 2, 1\/4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/((-8280)\/48))\/((-8)\/(-30)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01421 + -0.28421. What is the closest to 1 in -5, v, 3, 14?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21678, 21409, 20958, 20325, 19510, 18513, 17334?\nAnswer: 15973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, -1\/26, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by 66.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.83, -28.91, -151 in descending order.\nAnswer: 1.83, -28.91, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 4440?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5836416 to the power of 1\/2, to the nearest integer?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 + 2. Suppose 2*h + 2*h - 48 = 0. Suppose -2*a + 20 - h = 0. Suppose 12 + 8 = -a*n. Calculate y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*t - 6 = -2, 2*t = 3*s - 16. Solve q = -3*k + s*k - 5, 2 = -2*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*q - 297, 4*q + 434 = 4*a - 230. Let p be (4\/(-1))\/(2\/44). Let v = p + a. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42144 - 20655. List the prime factors of n.\nAnswer: 3, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 82361029 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 2*r**2 + 3*r + 6. Let v be g(-4). Let x(z) = -z**3 + 7*z**2 + 2. Let a be x(5). Calculate the highest common divisor of v and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208305 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 12. Let c be z(-10). Suppose -j - 20 = 3*j. Let g = c - j. Which is smaller: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sasgbsssabjqggbbgss. What is prob of picking 1 g and 1 j?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132690 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -12. Suppose 1 = q - k. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 7.5. Let s = y + 0.5. Let w = s - -1. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (483\/99 - 3). Let k = b + -6\/11. Let r be (3\/(-10))\/(2\/(-4)). Sort -4\/7, r, k.\nAnswer: -4\/7, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -2 + -3 + -1)*-4 - (-3*sqrt(99) + (sqrt(11) - sqrt(77)\/sqrt(448))))**2.\nAnswer: 198*sqrt(11) + 48843\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 68\/3. Which is the nearest to o? (a) -23 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -282, -340, -436, -570?\n\"Answer: -19*s**2 - s - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -19. Let l be ((-3)\/(-2))\/((-6)\/t). Which is smaller: -17 or l?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 677 - 677.2. Let o = -0.9 + 0.8. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-66)\/(-20) + -3)*-6. Let k be (-4)\/20 - 6\/(-5). Let i be -6 + 3 - (-1 + k). Is i at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5318 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3265 + 3267. Solve m = -5*p + 1, l*m - 3 = p - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y - 246. Calculate g(43).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from xoxoroodw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f + 5. Let s(r) = 2*r + 2 - 2*r - 2*r. Suppose 92*w = -82*w + 142 - 1360. What is w*s(x) + 3*d(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.2 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 13*i**2 - 2*i + 39. What is the remainder when 2298 is divided by g(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 32*q**2 + 258*q + 10251. What is g(-21)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -39.5, -109 in decreasing order.\nAnswer: 5, -39.5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5 = -2*r, 3*x - 22 + 7 = -4*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 9, h: 2, s: 1, m: 4}. What is prob of picking 1 i and 1 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 16 = 0, -3*w + 2*w + 2*v + 9 = 0. Are 2\/3 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/(-126))\/(-5))\/(20\/30)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/25)*(c\/(c**6\/c))\/c*(c**(2\/3))**(-28\/3))\/((c**(-2\/3)\/c)**(-7\/4)\/(c**(-4\/7)\/(c**(-1)\/c))) assuming c is positive.\nAnswer: c**(-73271\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -14*m. Let o = -4 + 13. Suppose s - 25 = -0*z + 4*z, 5*s + 3*z - 79 = 0. Let x(h) = s - h - 26 + o. Calculate x(l(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**7\/252 - p**6\/45 + p**5\/120 + 5*p**4\/36 - p**3\/9 - 2*p**2\/3 + 22*p. Factor x(u).\nAnswer: (u - 2)**3*(u + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 32 (c) 129 (d) 2\/5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/297)\/((-46)\/2 - 2460\/(-108))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 0*i - 4*i - 8*i. Let d(v) = 8*v. Let o(x) = -5*x. Let y(l) = 3*d(l) + 5*o(l). What is y(b(g))?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/(4\/48). Suppose -3 = 7*n - p*n. Let z be 2\/(-2)*1 - 2. Put 15, z, n in descending order.\nAnswer: 15, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) 81 (c) 400\/7 (d) -10 (e) 2 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z\/z**(2\/9))\/z))**(1\/2)*z**(-14)\/(z*z**(-1)) assuming z is positive.\nAnswer: z**(-116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12210 (base 3) to base 11\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1948 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001609731 rounded to five decimal places?\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54010 divided by -2\nAnswer: -27005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 37*q**2 + 7. Let y(r) = -73*r**2 - 14. Let j(m) = 5*b(m) + 3*y(m). Differentiate j(s) wrt s.\nAnswer: -68*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(f**2 + 0*f + 0*f) + 2*f**2 - 3*f**2 + 0*f**2 - 3*f**2 + 2*f**2 + 2*f**2 + 0*f**2 + 3*f**2 + 0*f**2)*(7 - 7 + 2*f**2).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1368)\/(-126) - 10)\/((-3)\/(-14))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*d + 12, -n - 3*d = 3*n - 44. Let s(i) = 4*i**2 + 4*i + 2. Let u be s(-2). Let a = u - n. Solve a*o + 5 = 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1490073688?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -14.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10895636831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -23*(-2)\/8 + 16\/64. Suppose -12 = -3*s + q. Let v = 0 - 0. Solve 5*f = -25, v = n + 5*f + 24 + s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -121*u**5\/80 - 11*u**4\/16 - u**3\/8 + 6*u**2. Factor t(w).\nAnswer: -3*(11*w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20516\/7 or -2932?\nAnswer: -20516\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 v, and 1 k when three letters picked without replacement from mmksktmmmssikmv.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 475*r**5 + 11*r**4 + 107*r + 1. Let w(z) = 95*z**5 + 2*z**4 + 21*z. Let h(t) = 2*q(t) - 11*w(t). What is the second derivative of h(o) wrt o?\nAnswer: -1900*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -287 + 286.9787. Let i = w + -2.9787. Which is the nearest to -0.15? (a) -2 (b) -1 (c) 0.2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3957*k - 1. Let j(x) = -22*x. What is h(m) - 6*j(m)?\nAnswer: 4089*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 14*t**2 - 14*t + 20. Let s be 5 + (0\/(-3))\/(-2). Suppose 0*k + 75 = -s*k. Let y be d(k). Solve 0 = -7*x + 2*x - y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/((-10)\/5))\/(-1). Suppose 4*n + 2*t - 3 = y, n + 3 = -5*t. Suppose p = -p - 4*g + 124, n*g = -2*p + 120. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let k = r - -9. Let u = -10 + 14. What is the closest to k in u, -3, 1\/10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97267*b + 97236*b = -62. Factor 1\/7*v**5 - 3\/7*v**3 + 5\/7*v**b - 2\/7*v - 1\/7*v**4 + 0.\nAnswer: v*(v - 1)**3*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.091368 and -0.114?\nAnswer: 0.010415952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 46, 100, 166, 238, 310, 376, 430?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72.5 or 315\/977?\nAnswer: 315\/977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292*o - 35224*o**2 + 35226*o**2 - 50*o to the form y*o + d*o**2 + z and give y.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f + 580 - 580.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7646 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 23. Suppose v + 4 + s = 0. Let t = v - -46. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000267 to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 826454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 47. What is the smallest common multiple of 9 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 108\/18 + (-3)\/1. Let -1\/7*o**4 + 0*o + 0 - 1\/7*o**2 + 2\/7*o**d = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.769078t in kilograms?\nAnswer: 2769.078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d - 134. Let g(y) = -9*y - 269. What is -3*g(w) + 5*q(w)?\nAnswer: 2*w + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 10. Suppose -4*g - 7 = -15. Calculate the remainder when 14 is divided by k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(3402)*-3)\/(-2*sqrt(384)*3*-4).\nAnswer: 9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 20112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-160) - 5727\/14940?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15310.\nAnswer: 2, 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*p**3*r**4 + 2*p**3*r**2 + 58*p**3*r + 4*r**6 - 2*r**2 wrt r?\nAnswer: -432*p**3*r + 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-352905)\/(-57137))\/((-6)\/34).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 165773982.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 652, 905?\nAnswer: 1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 6?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 190748750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1038808, 1038802, 1038798, 1038796, 1038796, 1038798?\nAnswer: 1038802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(2736) + sqrt(2736))**2 + (sqrt(2736) - (sqrt(2736) - sqrt(2736)*3 - sqrt(2736))*4)**2.\nAnswer: 240*sqrt(19) + 473353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -16. Find the third derivative of 5*k**5 + 2*k**2 - 2*k**5 - 4*k**5 - m*k**2 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 38*s = 33*s - 65, -4*u = -s - 28. Solve u*b = -n + 5 - 18, -4*b + n = 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:49 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 89 = 565. What is the highest common factor of 140 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) - (-3 + -2 + sqrt(192) + sqrt(192))))*-5 + -5*(sqrt(3072) + sqrt(3072) + 6*sqrt(3072)*-2))**2.\nAnswer: 76000*sqrt(3) + 6931825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 15012 = 19*o. Let d be o\/(-9)*9\/6. Is d equal to -278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from {v: 6, t: 1, q: 5, m: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1659 and 20174637?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * -8.6.\nAnswer: 206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28507429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and 424353.98830294.\nAnswer: 424354.68830294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.51475 - -0.6943. Let t = h + -0.18. What is t rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - (-1 - 17 - ((79 - 91) + -5)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k - 85. Let s be l(22). Solve 4*m = m + 2*g + 17, 0 = -s*m - 3*g - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**2. Let q(y) be the first derivative of -2*y**3\/3 + 10. Give q(n(a)).\nAnswer: -128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -239*l**2 + 119*l**2 + l + 116*l**2. Let a(t) = 5*t**2. Let b(z) = -3*a(z) - 5*q(z). Solve b(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1480817.\nAnswer: -7404085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 605 = -4*u + 1661, u + 5*d - 246 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46.67968 + 0.01968. Let a = -47 - w. Let u = a - -0.74. Sort u, 0, -3 in descending order.\nAnswer: u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((11 - -19)*(-21)\/((-630)\/12))\/(3\/(-2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 676 and 7584330?\nAnswer: 197192580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 40. Let d = -435 - -456. Calculate the least common multiple of d and m.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 4*m - 3. Suppose 1 = 2*d - 1. Let w(t) = -t**2 - t. Let l = -1709 + 1705. Calculate d*n(o) + l*w(o).\nAnswer: 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/43)*s*s)\/(s\/(s\/(s**4*s))*s)*(s**(-4\/9))**(-32))**(3\/16) assuming s is positive.\nAnswer: s**(1987\/1032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.017 - 0.1. Let k = 0.0876 + g. What is k rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416*h = 512*h - 575*h + 70992 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, n: 4, s: 1, f: 6}. Give prob of picking 4 u.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2253117137 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 10989 and 10990 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 10*v + 10. Determine o(-14).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -18*j + 100. What is i(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1248, 2493, 3738, 4983, 6228?\nAnswer: 7473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.3, -9, 12, -0.24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3962 divide 856540818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*b - 53920 + 203104 = 0. Calculate the smallest common multiple of b and 28.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 3 + -4 - -3 - -1. Let l = -5 + 8. Sort l, v, -4.\nAnswer: -4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21\/5, 1, 3, -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89*0.04.\nAnswer: 3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 23*p - 24. What are the prime factors of c(5)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 277.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -294b (base 15) in base 2?\nAnswer: -10001010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 3. Let t(q) = -4*q. Let w be t(-2). Let n be w\/(-12)*(-6)\/2. Solve n - 5 = -a*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 + -43. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0*y**3 + 2*y**3 - 14*y**2 + 16*y**2 + 2*y - 3*y to x*y + h + s*y**2 + m*y**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9045*i**3 - 2549*i**2 + 444423*i + 140?\nAnswer: 54270*i - 5098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168*b**3*q**3 - 9*b**2*q**3 - b*q**3 - 398*b*q + 3*b wrt b.\nAnswer: -1008*b*q**3 - 18*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 1\/3 (b) -0.4 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-27)\/f)\/f**34)**(-7\/12) assuming f is positive.\nAnswer: f**(217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10521 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -217*b + 433 - 433 + 218*b. Let f(q) = 10*q - 27. Let i(h) = -7*h + 18. Let k(c) = 5*f(c) + 7*i(c). What is k(d(m))?\nAnswer: m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.832, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4, 24*z + 3*r - 24 = 21*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 12*i - 3*i**2 - 3*i - 9*i**2 - 8*i.\nAnswer: 2*i**2 - 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 1. Let s(k) = -117*k - 21. Give 189*f(u) + 9*s(u).\nAnswer: -297*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/24 - (-55)\/10. Solve 0 = -f + 2*f + l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.63 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:40 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077050 to the power of 1\/2, to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*t - t + 56, -5*t + 3*f = -92. Let x(s) = t*s - 13*s + s. Let n(l) = 1 - 6 + 3*l**2 + 5. Calculate n(x(r)).\nAnswer: 147*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 4:55 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00127964275 to six decimal places.\nAnswer: 0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194*o - 4 = 1197*o - 43 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6460 + -7408. Which is smaller: q or -946?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2406.077 + -0.008\nAnswer: 2406.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.302 - -2.302. Which is the biggest value? (a) 4 (b) 2 (c) 2\/15 (d) -0.073 (e) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 52 = 0, -249*n + 44 = 4*h - 244*n for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3468 + -3463. Solve 5*x - s*i = -15, x + 2*i - 4 - 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 - -364. What are the prime factors of (r - -10) + 15\/(-3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 9. Let l(k) = -6*k - 1. Let m be l(-1). Suppose 4*a - 3*o = 52, -a - m*o + 25 = -11. Suppose -4*d - a = -6*d. What is z(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/4))**(-13\/5)*(s\/(s*s**(-3\/4)))\/s**3 assuming s is positive.\nAnswer: s**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 561*t**3 - 1 + 513*t - 7*t**2 - 512*t + 7*t**2 to o*t + h*t**3 + k + y*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 41*g**2. Suppose -19*a + 22*a - 21 = -3*s, -29 = -4*a - 3*s. Let h(z) = a*z - z + 5*z - 13*z. Give c(h(d)).\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsmol. Give prob of picking 1 z, 1 m, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.2, -6, -6.6?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-108)\/15)\/(12\/40). Let d = a - -100. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Solve -4*b - 2 = n*k - 14, -4*k = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111200112 + -22111?\nAnswer: 111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -402871884383.\nAnswer: -402871884387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a factor of 517340657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3531942*j**4 - 40*j**2 + j - 5071.\nAnswer: 84766608*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = -a - 0*a, -5 = i. Suppose 0*x + 4*x = a. Let h be x - (0 - 3)\/3. Solve 6*q = q + h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3557763*f - 25 + 25 + 4*f**2 - 3557763*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-1)\/8)\/1. Let r be (27\/6)\/((-6)\/(-8)). Let s be 4\/r*6\/(-4). Do s and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.016 or 0?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4531584 and 6.\nAnswer: 4531584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/12 + x**3\/6 + 4*x + 2. Let z = 127 - 133. Let y(r) = -8*r**2 - 2*r. What is z*n(v) - y(v)?\nAnswer: 2*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 + 5*k**2 + 2*k - 2. Let c(h) = h**3 + h**2 + h. Let q(b) = 3*c(b) - y(b). Suppose 0*i + 5*i + 20 = 0. What are the prime factors of q(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1)\/3 - 6. Let u be 1 + n*2\/6. Let k = -5113\/15 - -341. Which is the second smallest value? (a) k (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:48 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 12*a**2 + 1. Let v(r) = -2396*r**3 - 7*r**2 + 5. Let o(k) = 8*u(k) - v(k). What is the third derivative of o(c) wrt c?\nAnswer: 14328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-15) + 156\/(-15). Let v be 1\/(1*2\/a). Which is greater: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.49 - -1.69. What is the nearest to 0 in a, 0.06, -3\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 64.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 32. Which is the third biggest value? (a) 13 (b) p (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03944205 and -0.6?\nAnswer: -0.02366523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 536.1136 tonnes?\nAnswer: 536113600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -104. Calculate the remainder when z is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 4 = 0. Suppose 5*h = -2*p + 171, 0*p = t*p - h - 177. What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4225 and 24843000.\nAnswer: 24843000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 76036 times -211\nAnswer: -16043596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o = -o - 35 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 566 + -565 + 9 + (-1 - -3) + 0\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-12)\/4*7\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = -31*n + 3446. What is the remainder when n is divided by 58?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymm when three letters picked without replacement from ymm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -1 (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(2448) + -3 + (-4 + sqrt(612))**2)*6 + ((sqrt(119) - 1*-2*sqrt(119))\/((sqrt(7) + 2*sqrt(7) + sqrt(7))*-3))**2 + -5.\nAnswer: -210*sqrt(17) + 59937\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y**2 - 46*y - 27. Let a(k) = -18*k**2 - 93*k - 51. Let q(f) = -3*a(f) + 5*x(f). Let b be q(-12). Solve -3*v + b = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**4 - 4*g**3 - g**2 + 9*g. Let s(i) = 12*i**4 + 12*i**3 + 4*i**2 - 28*i. Let k(y) = -16*p(y) - 5*s(y). What is j in k(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361865560 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -55022112?\nAnswer: -55022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-16)\/92)*1. Let x(c) = 14*c - 21. Let m be x(4). Let k = o + m. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17659849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1815733908 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c4 (base 16) in base 7?\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1648 + 1561.9. Let o = 79 + k. Round o to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*t + 784 = 0, 0*f = -3*f + 2*t - 589. Let u = f - -362. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t - 10. Let b be (t\/(-5))\/((-2)\/8). Let v = 9 - -3. Solve -b*l + 24 = -3*o - l, v = o + 3*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.9 - -23. Let p = -1708 + 1707.6. What is the closest to 1 in -0.2, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 8*x**2 - 6*x**3 - 5*x**4 + 7*x + x**4 + 2*x**5 + x = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 108 = 21*a. Let q be 1\/((a + -3)*5\/2). Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 12 - 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 2*y**2 - 5 - 4*y**2 - 5 = 0 for y.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*m = 54, 2*f = 3*f + 2*m - 15. Let p(c) = 39*c - 1. What is the remainder when p(1) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osos when four letters picked without replacement from {n: 2, o: 1, s: 2, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -178400.8 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owiowwiowiiwiwwiiw. Give prob of picking 1 o and 2 i.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38303 = -45*t - 8063. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18148563 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**5*l*l**8)**(-1\/37) assuming l is positive.\nAnswer: l**(-15\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p - 1. Let v(q) = q**2 + 2*q - 1. Let n be v(-2). Let g(s) be the second derivative of -2*s**3\/3 - s**2\/2 - 12*s. Determine n*g(t) + x(t).\nAnswer: t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 0*v + 2189 - 2204 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 18*w**2 + 122*w - 9. Calculate the remainder when b(-7) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 113 = 31. Let z(t) = c - 4 + 2*t - 2 + 0. Let d(h) = h + 1. Calculate -3*d(m) + 2*z(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + 2*z**3 + z**3 + (-1 + 1 - 2*z**2)*(3*z + 0*z - 2*z) - z**3 + 3*z**3 + 0*z**3 + 130*z**3 + 9 + 8 - 132*z**3.\nAnswer: -3*z**3 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(17) + -4 - (sqrt(17) - sqrt(187)\/(-1*sqrt(11))))*-6)**2.\nAnswer: 288*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -814\/3 and -270 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -6 - (-1 - -5). Let a(y) = y + y + y + g*y. Let k(t) be the second derivative of 13*t**3\/2 - 3*t + 27. What is k(a(j))?\nAnswer: 117*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*q + 433 + 1318 = 332 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 18144810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 68?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21258619 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42338791 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20090 and 5330.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -112, -79, -26, 53, 164, 313, 506?\n\"Answer: h**3 + 4*h**2 + 14*h - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8532 and 129876.\nAnswer: 1168884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 39. Suppose -23*c + 16*c - 28 = 0. Let y be -3 + -1 + (5 + c)*4. What is h(y)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-12)*11*22. Let s = -52 + w. What is the greatest common divisor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2646*r**2 - 403*r**2 - 7 + r**4 + 691 wrt r?\nAnswer: 4*r**3 - 6098*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyhnyrhhrin. Give prob of sequence yhi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 + -32 + (-2947620)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17718599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 6*f**2 - 5*f - 5. Let b be m(-6). Suppose 13*g + 339 = -1741. Let x = g + b. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*4 + -5 - (sqrt(343) - (1 + (2*sqrt(343) - sqrt(343))**2))) + 1 + 2 + 6*sqrt(343)*-1.\nAnswer: -21*sqrt(7) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 7303.\nAnswer: 262908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -107067, -106784, -106505, -106230, -105959, -105692?\n\"Answer: -2*q**2 + 289*q - 107354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((-840)\/(-720)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**3 + 2*l + 1. Let f be -4*((-5)\/40)\/((-3)\/(-66)). Let y(q) = 21*q**3 + 10*q + 6. Give f*v(i) - 2*y(i).\nAnswer: 2*i**3 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/7*s + 0 - 4\/7*s**2 + 4\/7*s**3 + 4\/7*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -1\/3, 84, -114, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60.74 - -68.04. Let s = 0.025 - -2.275. Let l = s - q. What is the nearest to 1\/4 in 0, l, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 - 1)*(-9)\/18. Suppose h*b = 3*b - 9. Let l = 5 + -10. Put b, l, 2 in increasing order.\nAnswer: l, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143484 + -122535433\/854. Calculate the common denominator of m and 95\/1464.\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -195208, -390412, -585616, -780820?\n\"Answer: -195204*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12386637 and -0.5.\nAnswer: 6193318.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = -2. Suppose -s*d + 325 = 15. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 561*f**2 - f + 19 wrt f.\nAnswer: 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 183. Let d = r - 71. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/11 and 23\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 81416, 325624, 732624, 1302416?\n\"Answer: 81396*a**2 + 20*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2. Let v(d) = -135*d. Determine p(v(k)).\nAnswer: -91125*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -69*i - 37*i + 17*i + 28*i - 12*i. Let h(b) = 59*b. Calculate h(n(s)).\nAnswer: -4307*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*y - 214*y = -39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 < 81055.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 235615729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 740, 3, 2, 135.\nAnswer: 1, 2, 3, 135, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4917636717.\nAnswer: 3, 7, 113, 296047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.5, 0.1, -5, 4\/9, 0.074?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + -21. Let v = -46 - f. Suppose -n = -0*n - v. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00085966984 to six dps.\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/2 and -47\/248855?\nAnswer: 497710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 795*g - 1639. Calculate k(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.21129m to micrometers.\nAnswer: 211290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62841.5 + -62841. Let j be 145\/(-75) + 2\/(-3). Put j, t, -0.5 in decreasing order.\nAnswer: t, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-2)*-4*96\/(-40). Suppose 0 = 2*p - 2*a - 54, -26*p = -k*p - 4*a - 56. What is the remainder when 280 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/11, 0.5, 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f. Let b(r) = -33*r. Give s(b(w)).\nAnswer: 330*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 751\/108?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9964670 and 111110?\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9890.\nAnswer: 2, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 8*g + 20. Let f = 168 - 499\/3. Let d = 0.12 + -5.12. Which is the third smallest value? (a) d (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 + 383 + 217)*((2 + 0 - 4)*(2*o**2 + 0*o**2 - 3*o**2) + 0*o**2 + 3*o**2 - o**2) to s + v*o**2 + c*o and give v.\nAnswer: 2476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.349729 years in decades?\nAnswer: 0.8349729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 12870 = -30*k. Is 19 a factor of (k\/(-2))\/(33\/(-66))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(684))**2 + 3.\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4735 is divided by 168.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*z + 669*z + 543*z - 182*z.\nAnswer: 1125*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49773 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 238?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37854)\/1782 + 21)\/((-2)\/6*2)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-17)\/((-340)\/(-130)))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 12*o - 58, u - 3*o + 14*o - 8*o - 8 + 7 - 24 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.6 + 6. Let t = 0.031 - -0.869. Let k = l + t. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8849, 8535, 8013, 7283, 6345, 5199, 3845?\n\"Answer: -104*t**2 - 2*t + 8955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 759484107 and -553.\nAnswer: 759483554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 12. Let q be z(-8). Let y = q - 6. Sort 2, -1, y in increasing order.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 0.1, 2\/5, 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdv when three letters picked without replacement from {j: 6, q: 3, p: 2, s: 2, d: 1, v: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u. Let r(y) be the first derivative of 10 - 2 + 6*y**2 - 3*y**2. Give a(r(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 201567 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:10 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37512110?\nAnswer: 2, 5, 47, 79813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (20\/150)\/((((-72)\/(-30))\/6)\/(108\/210))\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(-5\/7))))\/(s\/s**(-3\/14)*s*s))\/(s**(-1\/3))**(2\/51) assuming s is positive.\nAnswer: s**(-6245\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 3:50 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 76 + 52 - 2*b**3 - 52.\nAnswer: -4*b**3 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9242 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v - 91 = 5*f + 44, -4*f + 12 = -2*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.44266804 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-1\/12))**(-5\/2)\/((n**8\/(n*n**4))\/(n**(-5)*n*n**(-7)*n)) assuming n is positive.\nAnswer: n**(-307\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -110752.2 and -0.1?\nAnswer: 11075.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -543*u**3 + 4*u**2 - 2*u - 8. Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8106 divided by -3987.\nAnswer: 2702\/1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:07 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -4*r**3\/15 + 52*r**2\/5 + 224*r\/5 + 14219. Factor s(g).\nAnswer: -4*(g - 28)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115.9 - 111. Let n = t - 4.811. What is n rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*r + 32*r + 2*r**5 - 14*r**5 wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-19 - 15*u + 19)*(1647 - 1647 - 33*u**2).\nAnswer: 990*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**3 - 2*n**3 + 6*n**3)*(-3*n + 3*n + 2*n + (-4*n + 2*n + 4*n)*(-3 - 1 + 6) - n - n + 3*n) as b*n**2 + g + c*n + j*n**4 + w*n**3 and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.326449 millennia?\nAnswer: 6326.449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 285500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*r - 10 = 0, -h + 6*h + 3*r + 26 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 871*f - 117. Let p(x) = -1 - 1 + 35*x - 34*x + 14*x. What is 117*p(m) - 2*s(m)?\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/67 in -3\/2, 1, -4, 2, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 + 30*r**4 + 72*r**3.\nAnswer: -3*r**3*(r - 12)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iij when three letters picked without replacement from tji.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231252*g**3 + 11490*g - 2 wrt g.\nAnswer: 1387512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-27)*k**21)\/(k**(-11)*k*k*k*(k**28\/k)\/k) assuming k is positive.\nAnswer: k**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2304337?\nAnswer: 7, 329191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, 0.5, 0.121?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 108*w + 1458.\nAnswer: 2*(w - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (24 + -33) - (1 - (1 - 9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = -5*j + 550053. Suppose -16*i = -118657 + j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62430286 from -2179.\nAnswer: -62432465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 37*f - 4*f)*(-f + 3*f - 3*f + (-2 + 2 - 1)*(2*f - 4*f + 3*f)).\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2139159?\nAnswer: 3, 11, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 5*r**4 - 4*r**4 + (-10*r**2 - r**2 + 3*r**2)*(-2*r**2 - 2*r**2 + r**2).\nAnswer: 23*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/2))\/z)**44\/(z*z**(2\/25)*z*z**0)*(z**6\/(z*(z**(-2\/9)*z)\/z))**(-2\/3) assuming z is positive.\nAnswer: z**(-18604\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -0.4, -3\/2 in ascending order.\nAnswer: -3\/2, -0.4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 13 - 2) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -13 - (28 + -9 + -41 - 97)\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n + 12. Solve 4*z - 20 = 5*j - z, -4*z = -j - n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 4, -107?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -192 - -196. Solve 2*j = -q*u - 14, 2*j - 2*u + 1 = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -9.11, 3\/25 in ascending order.\nAnswer: -80, -9.11, 3\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-66)*6*1133\/206*13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.49?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309 - -313. Solve f = -f - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-2)*(-2030636)\/340965?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -415093880*r**2*w**3 + 736*r**2*w + 8*r**2 + 2*r*w**2 - 2547*r*w wrt w?\nAnswer: -2490563280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/(70\/(-700)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (70\/(-4) - -4)*16\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/35 less than -1611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 > -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 + 7 = 0. Let m = -0.1 - 0. Which is the closest to -0.2? (a) -5 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/25, 5, 3\/22?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 2*c**3\/3 + 2022*c. Let t(f) = 10*f**2 + 0*f**2 + 4*f**2. What is j(t(w))?\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-10)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 16) to base 8\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (24 + -41 - -5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:44 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/6*-4*32\/160.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - 318?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 2. Suppose -3*q - 2*q + 25 = 0. Let x(u) = 0*u - 29 + u + 7 + 21. Determine q*j(b) - 10*x(b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 - 2*v + 1156. Let u(d) = 2*d. What is u(l(f))?\nAnswer: -8*f**2 - 4*f + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2 = -h, 4*h + 0*h - 11 + 16 = 6*h + 5*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-11))\/(3 + 2*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (5 - (19 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**3 + 422*l**2 - 8*l - 9248. Give w(70).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11d111 + -126?\nAnswer: -11d237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = -0*k. Suppose -74 = -k*a - 11. Solve 3*o - a = -2*o + 2*d, 3*d = 2*o - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8)*4)\/(24\/20*(-42735)\/999).\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y. Suppose y = 4*v + 7 + 13, 21 = 4*r - v. Differentiate 3*a**4 + 0 - 1 - 4*a**r wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 2. Let d be t(4). Let q(y) = -2*y**3 + y**2 + y**3 + 0*y**2 + 1 + 0 + 3*y. Is 7 a factor of q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 74, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**4\/3 + 3*u**3 + 5*u**2 - 2*u\/3.\nAnswer: -u*(u - 2)*(u + 1)*(8*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/36 + 2\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409920 divided by 5124.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_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: Which is the closest to -1\/2? (a) 5 (b) -22.1 (c) 0.1 (d) 52\/73 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 1 + sqrt(243) + sqrt(243) + (sqrt(243) - (sqrt(243) + (sqrt(243) - 2*sqrt(243)) + 1)) + 3 + (sqrt(243) + 1)*2) + -4.\nAnswer: 16 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7506357.36 to the nearest 100000.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56990.4678 minutes in weeks?\nAnswer: 5.65381625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.807 + 0.6?\nAnswer: -1.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 9*f**2 - 15*f - 2. What is the tens digit of c(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:38 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9227 is divided by 807.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24271.\nAnswer: 13, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-84)\/714 - 8978\/(-17).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - p**2 - 5*p**2)*(4*p - 2 + 2) - 2*p**3 + 5*p**3 - 2*p**3 + 9781 - p**2 + 7*p**3 - p - 9781.\nAnswer: 4*p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15216403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 78316294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 16*l + 5*l - 18)*(-l**2 - 9*l**2 + l**2) as j*l**3 + b*l**2 + p*l + s and give j.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5435?\nAnswer: 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.19, -4\/37, -15\/2?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181.711313 - 181.89. Let a = s - -0.1366839. Let u = a - -0.042. What is u rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 7*d**2 - 3. Let q be l(7). Let k(f) = 6*f - 2. Let x(o) = -o - 1. Let p(j) = -k(j) - 5*x(j). Let t be p(9). Which is bigger: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 564428.\nAnswer: 282214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006475?\nAnswer: 3, 5, 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 117.\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4 + 4*v + 10 + 4 + 4*v**2 - 16. Give h(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, -3\/14, 9.2, 1\/5?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2. Let n(j) be the third derivative of -23*j**4\/12 + 217*j**2. Determine n(r(s)).\nAnswer: 276*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92016709.\nAnswer: 92016709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 39537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2284 is divided by 189?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35928 and 1047900.\nAnswer: 6287400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3499*v**3 - 1755*v**3 - 1746*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0244042 to four dps.\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 4620183516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5)*o*((o**(1\/5)\/o)\/o)\/o)\/(o**7*o*o*(((o**(-1)\/o)\/o)\/o)\/o)*o\/(o\/(o*o**(-7)))*o*o**(-3\/7)*(o**(2\/7))**(-2\/9) assuming o is positive.\nAnswer: o**(-661\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 8*d**2 + 8*d - 1. Let b be a(7). Let t(u) be the second derivative of u**4\/12 - u**3\/2 - 2*u**2 + u. Is 7 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 divided by -1.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7 + 2*t + 9*t - 2*t - 4*t. Let b be x(2). Solve 4*q = 4*h + 4, 5*h - b*q = -0*q + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5938452 divided by 659828.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7883521 by -41.\nAnswer: 192281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -23*a - 26*a. Solve 0 = -5*n + 5 - a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2614 + 1971.80554.\nAnswer: 1972.06694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154462)\/1239*(-120)\/136?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -311*g**5 + g**3*j - 3*g**2*j + 31*g*j wrt g?\nAnswer: -18660*g**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1357072057 rounded to 5 dps?\nAnswer: -0.13571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187*y**5 - 3*y**4 + y**3 - 97*y**2 - 3*y + 4 wrt y.\nAnswer: 11220*y**2 - 72*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 353537.8um?\nAnswer: 0.0003535378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1006148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -118. What is the greatest common factor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*k**3*x**3 - 2*k**3*x**2 + 3*k**3 + 9555*k**2*x**3 - 5*k*x - 251*x**2 + 12 wrt x.\nAnswer: -768*k**3 + 57330*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/(-6) + 4)*(-27)\/(-6). Let o be ((-112)\/(-3))\/((-2)\/h). Suppose 14*f + o = 16*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 1. Let s(j) = 37*j - 2. Let r(m) = 2*q(m) + s(m). Let k be r(-1). Is k smaller than -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -538 divided by 547654\nAnswer: -269\/273827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(15)\/sqrt(3)) + 1*sqrt(171) - (-3 + sqrt(57)\/sqrt(3) + sqrt(19) + -5).\nAnswer: 8 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2652.865 * -0.1\nAnswer: 265.2865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9238390855 to the power of 1\/4, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29878, 29897, 29916, 29935, 29954?\nAnswer: 29973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 19285000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111030312 (base 4) to base 11.\nAnswer: -38816a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. Suppose h*f - 4 = 4*f. Suppose f = 2*a - 6. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333.300401 + 0.044401. Let n = o - -336. Round n to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373088 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.073 - -0.027. What is the closest to -18 in -0.3, -2\/5, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 8 = 0, -78*d + 73*d = 4*s - 2. Solve -s = 2*f - 5*p, 15*p = 14*p - 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 2. Let b be (-8 - -7)\/1*4\/(-1). Solve -b*q = -x*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -839, -838, -837, -836, -835, -834?\n\"Answer: m - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d*k*m + 9*d*k + 3*d - k*m + 639*k + 2*m wrt d?\nAnswer: -4*k*m + 9*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11686*x**3 - x**2 + 60*x + 17.\nAnswer: -70116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 952299.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (20412\/(-441))\/(-12) - 3*(-1)\/(-1)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 9*m + 14)*(-m**3 + 6*m**3 - 4*m**3).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/2*(-138)\/8. What is the remainder when 201 is divided by b\/12 + 5 + 1\/4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125643 by 579.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-3)\/(-6)*2\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -149*i**3 - 2*i**2 - 70*i + 131163?\nAnswer: -447*i**2 - 4*i - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-690*a + 5 - 16 + 2 + 9)*(-2*a + 2*a - 3*a).\nAnswer: 2070*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -176. Let t = c - 72. Suppose -2*w + t = -6*g + 2*g, -4*w + 109 = g. Calculate the remainder when w is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*a + 66*a - 134*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from hnnazh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**4\/6 + 6*g. Let w(f) be the third derivative of -f**4\/2 + 4*f**2. Determine t(w(k)).\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*x = -99 + 417 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 1641 = 1572. Calculate the remainder when y is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0*k + 0 + 0*k**3 + 0*k**4 - 2\/15*k**5 - k**2. Let h(z) = 2*z**2 - 2*z**2 + z + 2*z**2 - z. Calculate t(h(s)).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*f + 95, -3*p + f - 82 = -5. What is the thousands digit of (1185 + -1 - 2) + (-20 - p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0 + -1)\/2. Solve 3*i - 2*k + 2 - 17 = x, 5*i - 25 = 5*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4812754, 4812717, 4812656, 4812571?\n\"Answer: -12*y**2 - y + 4812767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u. Let c be s(-3). Suppose 2*o - 3*n = 39, 5*n + 0 + 77 = 4*o. Let g be c\/o*2\/4. Is -3 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i + 10. Let k be o(-4). Let n be 1\/(k\/10*5\/(-6)). Solve -c + n*c - 5 = 2*g, 0 = -3*g - 4*c - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**5 - 564327*y**3 + 2*y + 1056410 wrt y.\nAnswer: -40*y**3 - 3385962*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9) - -2) + (-12)\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12896 + 0.02896. Which is the closest to 1? (a) -1 (b) n (c) 392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from {a: 1, b: 1, u: 1, h: 1, v: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10200837.\nAnswer: 3, 29, 117251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2970*u**3 - 2364*u**3 + 5328*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5173 + -341. Is f a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 9*q**2 - 3*q - 8. Suppose 0*s + 3*s + 216 = 0. Let a be (-3)\/3*s\/8. Let c = -18 + a. Calculate x(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 147 + 5043 = -3*m, z - 2*m = 1031. Let y = z - 722. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 20*r - 21. What is u(4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 8*x - x**2 + 0*x**2.\nAnswer: -x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/2))\/((w*w\/(w\/(w*w*w\/(w\/(w*w*w**6*w*w)))))\/w)*(w**(-1\/8)*w)\/w*w*w**(5\/3)*w*w assuming w is positive.\nAnswer: w**(-167\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1472b - 3a?\nAnswer: -14767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78290*w**2 + 156572*w - 16.\nAnswer: 2*(w + 2)*(39145*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-718 + 94*o + 718)*(1 + 0 - 3).\nAnswer: -188*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 - -230. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021268081 to 6 dps.\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*c = 28*c - 44*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.5 + 12.4. What is the closest to j in 4, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -785.14 to the nearest 10.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7738, 7603, 7468, 7333, 7198?\nAnswer: 7063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23610 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**3 - 200*g**2 + 49*g - 1218. Let s = 29 + -1. What is the smallest common multiple of b(25) and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54647 or -54913?\nAnswer: -54647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:29 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-18) - (-6)\/27. What is the common denominator of 10\/h*3\/12 and 83\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1483 divide 29600680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 + 34?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + -21121201212?\nAnswer: -21121201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668533428 a multiple of 14686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -232032122120 (base 4) to base 14\nAnswer: -18760ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41616, -83211, -124790, -166347, -207876?\n\"Answer: q**3 + 2*q**2 - 41608*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 5\/(-2)*-2. What is the third biggest value in 0, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 618*v - 630.\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5951148?\nAnswer: 2, 3, 7, 29, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23187, -23175, -23163, -23151, -23139, -23127?\n\"Answer: 12*h - 23199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3260.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(2*q + 0*q - q) + 4 - 159128*q - 4 + 160636*q.\nAnswer: 1509*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**4\/m))\/((m\/m**2)\/m))**(-1\/24) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-792)\/1078)\/((-96)\/(-336)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/238 and 8\/63?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2256364.9 to the nearest 1000.\nAnswer: -2256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0236 (b) -193 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -216\/11, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11076573.\nAnswer: 3, 433, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/4 - 1\/(-4). Let p(m) = m**3 + 143*m**2 - 440*m - 288. Let y be p(-146). Solve h = -3*i - 8, w*i = -3*h - 4 - y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2\/7, 41, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -21, -3, 5, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18244583*r**4 + 1302232*r.\nAnswer: 218934996*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5556.7 (b) -3\/7 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53956 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from bbabpppbpbpaobobpb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -309*10\/(-15)*(-70)\/(-140)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = -9*c - 2490. Let f be -1 + (-11)\/(110\/c). Let q = 39 - 20. What is the greatest common factor of f and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2 - 4*l**3 + 8*l - 5*l**2 + 7*l**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 258 + -258. What is the second biggest value in 42, k, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-4)\/(-6))\/(0 - (-4)\/828)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/14 + 1357\/966?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5 - 415*u**4 + 9210*u**3 - 24800*u**2 + 16000*u = 0. Calculate u.\nAnswer: 0, 1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 7*k**2 + 8*k - 2. Let n be c(6). Find the common denominator of n\/(-25) + (-281)\/60 and 53\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -20 + (0 - -2) + -2. Calculate the remainder when 5\/j + (-1251)\/(-12) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6080, 12111, 18142?\nAnswer: 24173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 8. Let u be t(8). Suppose -l - 4 + u = 0. Put l, -3, 0 in decreasing order.\nAnswer: 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94331203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 j, and 1 g when four letters picked without replacement from jokjfogfhjo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**10\/75600 - l**8\/5040 + l**6\/360 + l**5\/30 + 3*l**2. Let k(a) be the third derivative of h(a). Factor k(t).\nAnswer: 2*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8 = 2*d - 28, d = -5*b + 19. What is the closest to -1 in 4, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(2\/3)*y*y**(-11))\/((y**(-3)\/y)\/(y*y**(3\/2)*y)) assuming y is positive.\nAnswer: y**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u - 196 + 196 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -5*1*sqrt(833))**2 - (-1 + -6*-1*sqrt(17)).\nAnswer: -6*sqrt(17) + 13329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 18*c + 10. Calculate the remainder when 25 is divided by v(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**2 - 2335068*s - 454378547052 = 0.\nAnswer: -389178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 1390*d**2\/3 + 3227*d.\nAnswer: d*(d - 1383)*(d - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 8308526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3027308145?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168389 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 86 - 5*m + 0*m.\nAnswer: -4*m + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 102.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 7*o**2 - 6*o - 4. Let j(u) = -u**2 + u. Give b(p) + 6*j(p).\nAnswer: 2*p**3 + p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*y + y + 94, -4*y = -8. Let z(o) = -o**2 + 3*o + 123. Let t be z(16). Let k = x - t. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5118*a = -5206*a - 769 - 1343 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18*729 - ((0 - 0) + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5645878*s**3 + 3075606*s**2?\nAnswer: 33875268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from kkkkpkvkpkrrpkkkrr?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2567205, 5134409, 7701613?\nAnswer: 10268817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239503047 to the nearest integer?\nAnswer: 15476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(832) + 1) + sqrt(832))**2*-5.\nAnswer: -104080 - 1600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 56?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/39 - 55\/66)\/((-1)\/1533142) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (8 - 0 - (5 + 5 - -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1129*y**2 + 2187*y**2 + 438*y**2 - 377*y**2 + 1204*y**2.\nAnswer: 4581*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65296 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4858524\/535 or -9080?\nAnswer: -4858524\/535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 7, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 - (-2 - (-1 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(357)\/(sqrt(7)*3) - sqrt(51)*2*-2))\/((3*sqrt(441) + sqrt(441))\/(sqrt(9)\/(sqrt(3)*-1))))**2.\nAnswer: 2873\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) 4 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 8\/(24\/(-2805)). Is 26 a factor of 2\/(-4) - y\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 204 = -6. What is the common denominator of 63\/q*6 + 4 and 13\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v - 3*q - 677, -4*q = -2*v + 282. Suppose 4*u + 179 + v = 4*y, -2*y - 3*u = -136. Calculate the greatest common factor of y and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 10*d + 4. Let v be x(-10). Let g(i) = -17*i**2 - 4*i + 2. Let s be g(2). Let t = 76 + s. Solve 4*u = v*r - 0*u + 4, -18 = -2*r - t*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(637) - 1*sqrt(637)))**2*6 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -20. Let u = 36 + o. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 108\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 90*b + 182. Let f(s) = -49*s - 92. Give 6*a(z) + 11*f(z).\nAnswer: z + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 3*c + 6*c + 4)*(-4 - 10 - 6)*(-1 - 4 + 6) + 2*c - c + 2*c.\nAnswer: 23*c - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 6)*((-3*q**2 + 4*q**2 + 0*q**2)*(q**2 - q**2 - q**2) - q + 0*q - q**4 - q) to the form m + p*q**2 + l*q**3 + t*q**4 + x*q and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*o = x + 2, -o + 8 = 5*x. Find the second derivative of 0*n + 0*n - 5 - 68*n**x - 5*n + 3*n wrt n.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48063166993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*s + 2. What is the units digit of s\/(-6) + 30\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*12\/(-9). What is the units digit of (1 + -2)\/(l\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.25612km in millimeters?\nAnswer: 15256120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*l + 3*l. Suppose -4*v + 3*n - 20 = 0, 3*v + 3*n - 8 + 2 = 0. Let d be v\/9 + (-276)\/(-27). What is the greatest common factor of l and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -143032360 - -4?\nAnswer: -143032356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/16)\/(4 - 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282 and 148920.\nAnswer: 6999240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12370)\/28896 + (48\/(-84) - -1). Let s = k - -1813\/518064. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-12 - (-6 - -3) - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1463, -1466, -1471, -1478?\n\"Answer: -l**2 - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.844 - 0.84399187. Round f to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.253261 hours in microseconds?\nAnswer: 8111739600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 11*v**8\/2240 + v**5\/20 - 5*v**4\/2 + 33*v. Let p(b) be the third derivative of l(b). Differentiate p(k) wrt k.\nAnswer: 99*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 919.158cm?\nAnswer: 9191580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183 (base 9) to base 15.\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -821, -812, -789, -746, -677, -576, -437, -254?\n\"Answer: p**3 + p**2 - p - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2424420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 9*z - 20. Let g be o(-11). What is the third derivative of 12*t**3 + 5*t**g + 30*t - 3*t**2 - 30*t wrt t?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 2055419?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/(-19) + (261\/(-145))\/((-282)\/(-940))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b + 14eab?\nAnswer: 15017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 6*y**2 - 6*y + 3. Let g be q(5). Sort -5, g, -6.\nAnswer: -6, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s + 10 = 4*b, -5*s - 20 = -2*b. Let z be 17 + (-3 - 2\/s). Let j = z + -7. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*u - 1136, 76 = 2*f + 72. What is the remainder when u is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**2. Suppose 2 = a - 0. Let t be (1 + 6\/4)\/(111\/444). Let f(l) = t*l**2 - 8*l**a - l + l. Calculate s(f(u)).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.18865 take away 19570?\nAnswer: -19486.81135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 3790 = 7*t. Let o = t - -590. Calculate the highest common factor of o and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 85 + 25. Let k be 3*(-6)\/(-9) + g. Let m = k + -17. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/9149 or 1?\nAnswer: -31\/9149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y + 11. Suppose 5 = -x - 0*x. What is c(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154105 (base 6) to base 9\nAnswer: -22715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -52144\nAnswer: 27\/52144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/15 + 2*o**2 + 88*o\/15 - 8.\nAnswer: 2*(o - 1)*(o + 6)*(o + 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17613832 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0*t**3 - 1\/12*t**4 - 2*t**2 + 0*t + 0. Let l(x) = -12*x. What is l(f(d))?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -226144088*v**2 - 41187*v + 41187. Let k(h) = -27453*h**2 - 5*h + 5. Determine 41187*k(z) - 5*r(z).\nAnswer: 13729*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -1) + (1 + 4 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2221 - 1551. Suppose -j - 44 = -3*f. Let n be ((-784)\/140)\/(-1 - 9\/(-15)). What is the greatest common factor of f and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0050536 to 4 decimal places.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1178, -2429, -3628, -4775, -5870, -6913?\nAnswer: -7904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/560*30\/(-36)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 5*t + 20. Let o be m(7). Let d(a) = a + 5. Let k be d(o). Solve 0 = 4*x - 3*x + 3*w - 16, 0 = 4*x - 3*w + k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1982944772?\nAnswer: 2, 495736193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -d6?\nAnswer: e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 223207.28183 to the nearest one thousand.\nAnswer: 223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1, 4, 5, -4, 1\/289?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35337, -71352, -107367, -143382, -179397?\nAnswer: -215412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*o - 42. What is the least common multiple of o and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/((o\/o**(-1\/15))\/o)*o)\/o*o\/(o*o**15) assuming o is positive.\nAnswer: o**(-181\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8268)\/(-45))\/26 + -7 - (-1205)\/(-75).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -765645 + 1531284 - 765639 - 14625*x to the form a*x + j and give a.\nAnswer: -14625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2 + 5. Let c(s) be the third derivative of -s**5\/15 + s**3\/2 + 753*s**2. What is -8*c(b) + 5*p(b)?\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 12) in base 3?\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 6*b + 2. Let c be a(6). Let x(g) = -3*g**3 + 0*g**3 + g + 2*g**3 + 2*g**c. What is the units digit of x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0*t + 2*t - t. Suppose -3 = -4*n + 21. Let u(q) = 554 - 7*q - 554. What is n*s(a) + u(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i)\/(i**(-1\/4)*i)*(i\/(i\/(i**(6\/5)*i)*i))\/(i*i**(3\/8)) assuming i is positive.\nAnswer: i**(-117\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905286?\nAnswer: 2, 3, 150881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368 and 368.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 20*m + 30. Let c be -1 - (-24*1)\/4. Suppose r - 26 = -s - s, -s = c*r - 13. Calculate the remainder when j(-19) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000082973 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271856 = 21595*d - 1449114 for d.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqcq when four letters picked without replacement from aycyqvaaqvaca?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7959 + 7959.020845. Round j to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojoj when four letters picked without replacement from ojccccooco?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -7. Let x(n) = -2*n + 3. Let y be x(g). Let t be ((-2)\/(-8))\/(y\/8). Which is the biggest value? (a) -3 (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117269531.\nAnswer: 117269531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2299) + (sqrt(19)*-5 - sqrt(19))*5 + sqrt(19))**2 - (3 + sqrt(19)*-5 - sqrt(1216)*4).\nAnswer: 109*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**5 - 2453*k**4 - 175*k**3 + 277179*k**2 - 5*k + 1.\nAnswer: -60*k**2 - 58872*k - 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 q, and 1 c when four letters picked without replacement from {c: 4, t: 6, q: 4}?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -547, -1730, -4021, -7786, -13391, -21202?\nAnswer: -31585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-2\/3)*a**(-1\/2)*a*(a**9\/a)\/(a\/a**(1\/7))*(a*a*(a*a**(-4\/7)*a)\/a*a**(-1\/6))\/(a\/a**(-1\/7)*a**2*a) assuming a is positive.\nAnswer: a**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wghw when four letters picked without replacement from {g: 1, w: 3, h: 4, a: 1, r: 4, d: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 47*l. Let p(m) be the first derivative of m**3\/3 + 28. Calculate p(w(z)).\nAnswer: 2209*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1243 and -27\/7.\nAnswer: 8701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*m - 9, 4*m + 28 = -0*m. Let u(l) = -l**2 + 7*l + 5. Let v be u(7). Sort v, 4, d, 3 in increasing order.\nAnswer: d, 3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -0.5 in increasing order.\nAnswer: -4, -0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((284\/1988)\/((-4)\/7))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/3 - 32*o**3 + 944*o**2\/3 + 1664*o + 5408\/3 = 0. What is o?\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*-2)\/((-54)\/27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let u(s) = 6*s - 1. Suppose q = -3*q + 44. Suppose 3*z + q = -t, -4*t + 2 = 3*z + 10. Suppose 0 = 7*c - 3*c - 16. Determine c*i(o) + t*u(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z**3 + 46*z**2 + 46*z. Does 9 divide d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-24)\/(-20))*69394\/65. Calculate the greatest common factor of d and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + -1*sqrt(75)) + 0 + (sqrt(9) - (sqrt(9) + sqrt(324) + sqrt(324)*-2 + sqrt(324)))\/(sqrt(9)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: 320*sqrt(3) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4\/3 - 2650*r**3\/3 - 96120*r**2 - 1520370*r - 6530625 = 0.\nAnswer: -387, -125, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1407 + 20*w + 7*w - 16*w - 14*w + (2 + 1 - 4)*(0*w - 3*w + w).\nAnswer: -w - 1407","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a7 (base 11) to base 15.\nAnswer: -99e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8407888?\nAnswer: 2, 525493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 6 - 12 - 6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 1)\/(1\/(-16)). Let a = -642 + 802. What is the greatest common divisor of c and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96743319791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.5 (b) 2\/5 (c) -2\/19 (d) -0.12 (e) -3 (f) 54 (g) -76.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(9) + -2*sqrt(324)) - 4*sqrt(50)\/sqrt(40))**2.\nAnswer: 2645\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 1\/4, -10\/9, 5, -0.2?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2414114932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 4260 - 4260.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9973.637ug in kilograms?\nAnswer: 0.000009973637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398.2638 millennia to years.\nAnswer: 398263.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g + 15. Suppose -g*u + 25 = 0, -7 = -4*i - u + 2*u. Suppose -2*j + 7 = t - 4, 4*t = i*j + 55. What is the remainder when 36 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + 0*o**2 + 3*o**2)*(-1115 + 183 + 542) - o**2 - 2*o**2 + 4*o**2 + (3*o + 2*o - 4*o)*(2*o - 4 + 4) to h + t*o**2 + r*o and give t.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 + -0.06. Let m = -0.014 + 0.514. Which is the closest to -1\/3? (a) m (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*w - 30, -5*w + 17 = 4*a - 5. What is the lowest common multiple of w and 1\/3 - (-47)\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*i - 3478 = 7542 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.358 - 0.158. Let l = -1736\/11 - -158. Which is the third smallest value? (a) i (b) l (c) 11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55 + (25 - 0) - -3) + 49\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19122275\/8 + 2387238. Let b = -3058 - q. Calculate the common denominator of b and (62\/4)\/(8\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4 + 1879*b**3 + 5662*b**2 - 30124*b + 22584 = 0.\nAnswer: -6, 1, 2, 1882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 1. Suppose n + 2 = 4*k, -3*k - n + 4*n = 3. Suppose 0 = -z + k + 1. What is t(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-8))\/7*(-16)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-108)*(-4)\/15.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r + 22*r - 16*r - 34*r**2 + r**2 + r - r - 5*r**2 + 0*r**2 + 0*r**2 + (0*r - 3*r + r)*(-3*r + 5*r - r).\nAnswer: -40*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1480, -1469, -1458, -1447, -1436?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -1970\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.8 + -2.2. Let v = k + -6. Let g = v - -0.4000016. Round g to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 10*x**4 + 1085*x**3 + 18330*x**2 + 87215*x + 39160 = 0?\nAnswer: -89, -11, -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in -1, 5, -0.1, -72?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*m + 16, 4*z = 3*z + 3*m + 6. Let c(h) = h**3 - 12*h**2 + h - 13. Let t be c(z). Does 27 divide (-5 - t)\/(2\/(-34))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(162) - -2*sqrt(162)) + sqrt(162) + 4 + sqrt(162) + sqrt(162))**2 + (-2 + (2*sqrt(288) - sqrt(288)) + sqrt(288) + sqrt(288))**2 + -4.\nAnswer: -252*sqrt(2) + 8425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*s - 398, 39 - 125 = -j - 4*s. Let a = j + -96. Find n, given that 2\/3*n**a - 4\/3*n - 2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4460 - 2698*s - 2116*s + 2*s**3 - 2*s**3 - s**3 + 4459 to f*s + g*s**3 + t + w*s**2 and give f.\nAnswer: -4814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let o be (-3)\/2 + (-5)\/(-2). Let f be ((-2)\/4*-4)\/o. Let g(b) = 3*b - f*b**2 + 0*b - 3*b. Determine g(c(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7680*h = 7669*h - 253 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2103858\/135 - 4\/30. Suppose -1506 - m = -2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1*2*181\/4. Let i = 281 - r. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 2.3 (c) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**9*u*u**(-2)\/u*((u**(-3\/14)*u)\/u)\/(u*u**(-3\/14)) assuming u is positive.\nAnswer: u**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 2*j + 392. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*a - 21 - 1986, -l + 508 = -2*a. Let q = 373 + l. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -20. Let x = 5 - t. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2581062 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 + 49700*y\/11 + 198832\/11.\nAnswer: -2*(y - 24854)*(y + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opoz when four letters picked without replacement from ozzzzozozozoppoppzz?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121051480 divided by -410344.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 555730361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 61*y + 434 = 15*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 985\/(-591)*(-6)\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i - 12. Let g be u(5). Suppose -5*v = -g*v. Suppose 4*f = -8, -3*l + 15*f - 13*f = -1. Sort v, -3, l.\nAnswer: -3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1.4 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8 + -4 + 13 + 1 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 4*x**3 + x**3 + (21*x**2 - 16*x**2 - 24*x**2)*(3*x - x + 0*x))*(30 - 40 + 25).\nAnswer: -540*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 64340930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*x + 10*v - 6*v, -4*x + 27 = 5*v. Let t be ((-12)\/10)\/((-7574)\/945 + x). What is the highest common factor of 216 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m - 276 = 40*m. Let j be 4\/20 - (1 - m\/20). Calculate the remainder when 28 is divided by -1*(3 + j)*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 v when four letters picked without replacement from vvveevvevv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a - 2*a)*(5 - 3 - 10)*((-2 - 3 + 3)*(4*a - 3*a + 3*a) - 2*a + 8*a - 2*a).\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8979.60352 + -8980. Round t to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 396130.\nAnswer: -39613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/5 - 46*x**4\/5 - 348*x**3\/5 - 180*x**2 - 162*x\/5 + 1458\/5 = 0. Calculate x.\nAnswer: -9, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*7\/140*-1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694*g + 696*g - 1392*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32c + 2?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451798070?\nAnswer: 2, 5, 4663, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.712126ns in microseconds?\nAnswer: 0.006712126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -193143 + -131?\nAnswer: -193274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -12*q + 185 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/5 (c) -1\/5 (d) -17\/6 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 2*d. Let t(m) = m**3 + 11*m**2 + 11*m + 280. Let s be t(-12). What is u(s)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2366 - -2368. Let j(u) be the third derivative of 0 - 1\/6*u**3 - 2*u**o - 1\/120*u**6 + 1\/8*u**4 + 1\/30*u**5 + 0*u. What is j(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -1, -5, -4, 10, 1502?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17019 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 4:09 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*g = 15, 3*b + 0*b + 3*g = 27. Let n be ((-25)\/b)\/(5\/(-4)). Solve 7*a - n*a = 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -3061.6924?\nAnswer: -3061.6924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + 0*n**3 + 0*n**3 - 2*n**2 - n**5 + 2*n**2 + (-3 + 3 - 2*n**3)*(6*n**2 - 2*n**2 - 2*n**2) + 0*n**5 - 3*n**5 + 0*n**5 + 6*n**5 - n**5 - 3*n**5.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 14. Suppose -m*p + 25 = 2*p. Let s be ((-15)\/p)\/(1\/(-1)). Solve 4*u - 8 = -0*u, 2*u = s*z + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -55, -90, -131, -172, -207?\n\"Answer: u**3 - 12*u**2 + 6*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -9*i. Solve i = -0*a - 2*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 17*s - 1. Determine j(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-7))\/((-3)\/(-2)). Let j = n - 3. Let i = 0.18 + -0.08. Sort -4, j, i in increasing order.\nAnswer: -4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - t**4 + (t - t - 2*t**2)*(0*t**2 - 2*t**2 + 3*t**2) + 20*t**4 + 33*t**4 - 89*t**4)*(2 - 2 - 2*t).\nAnswer: 78*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294016 is divided by 97357.\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 33\/4 + (9 - 14)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86307733*p**2 - 2187640*p + 5.\nAnswer: 172615466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3931, 3934, 3941, 3952, 3967, 3986, 4009?\n\"Answer: 2*y**2 - 3*y + 3932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/3837 + -3833\/7674. Let d = -0.6 - 2.4. What is the nearest to z in -1\/5, -0.035, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 31377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 7) + (-12)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.776 + -12.48. Let b = t - 5.3. What is b rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-1)\/(1\/422). Let l = j + -280. Let d = l + -102. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 + 4*d + 4. Let w be t(5). Suppose -w = -5*s + 1. Suppose -5*l = -3*o + o - 104, 0 = -5*l - s*o + 90. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d + 5. What is the smallest common multiple of 32 and (-2*1 + d)\/(76\/(-1368))?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x + 45 = -70. Let c(b) = -2*b - 5. Let n be c(-5). Put 1, n, x in ascending order.\nAnswer: x, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6142105 (base 7) to base 10.\nAnswer: -733045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 0*i + 2*i**3 - i + 3*i**2. Suppose -4*t + 16*t + 36 = 0. Let n be w(t). Solve -5*j + 20 = -f, -n = 3*f + 5*j - 43 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009967 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 393*g - 2209. Give y(6).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 - 2*b + b**2 - 143 + 7 + 45 - 45 + 2*b**2 + (0*b - 3*b + 2*b)*(2*b - 2*b - 2*b) to h*b + t + u*b**2 and give t.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 52 = -16*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*s = 527*s + 6549 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeg when three letters picked without replacement from {g: 1, s: 1, e: 2, q: 1, d: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 1065.\nAnswer: 5325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 313*o - 24349. What is b(-169)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30887093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.8 - -15.3. Let x(f) = f**3 - 6*f**2 - f + 4. Let q be x(6). Which is the nearest to -1\/3? (a) q (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3058684, -3058691, -3058702, -3058717, -3058736, -3058759?\n\"Answer: -2*f**2 - f - 3058681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c - 6. Let m be g(-4). Let i = 151\/636 - -2\/159. What is the third biggest value in m, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let l(z) = -4 + 0*z**d - z**2 - 24*z + 11*z. Let q be l(-12). Calculate the highest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -43, -49, -55, -61?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 11 = 5. Let h be 0*-2*i\/(-8). Solve d + h*g = g - 4, -4*d + 5*g = 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 + 1999748*h**2\/9 - 499858009570*h\/9 - 7998240096800\/9.\nAnswer: -2*(h - 499945)**2*(h + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/50 and -39\/145.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 2\/21 (c) 3 (d) 0.3 (e) -3 (f) 6\/47 (g) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 4:41 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12345 is divided by 3446.\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 8 = 0, v + o - 6 = 0. What is the least common multiple of v and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 21. Let k be u(11). Suppose -2*c - k = 7. Is (1*14)\/(c\/(-50)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 6:59 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 315*j - 22. Is 29 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27420560, 27420566, 27420582, 27420614, 27420668, 27420750?\n\"Answer: u**3 - u**2 + 2*u + 27420558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 20 = -5*v. Suppose -v*x + 0*x = -550. Let i(u) = 4*u + 2. Calculate the remainder when x is divided by i(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*t + 40 = 0, 124 = -272*v + 277*v + 4*t for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 (base 10) in base 11?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-5327.\nAnswer: -122521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/69*3*-8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/231 (b) -14 (c) 1\/3 (d) -4 (e) -27406\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 242199 = 2*j - 217791, 230007 = j - a. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60.13 + -0.87. Let i = 55.024 + -0.024. Let w = i + p. What is the nearest to w in -2, 1\/4, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 966925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240726 and 32224.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 12:02 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203307547150.74138903 - 203307549037. Let b = -1888.22861 - n. Let p = 1.97 + b. Round p to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222*q**3 + 371*q**3 + 2*q**2 - 856*q**3.\nAnswer: -1707*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145 + -15133?\nAnswer: -15300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 0*n**5 - 20\/3*n**3 + 0*n**4 - 31 + 35\/6*n**6 + 0*n + 0*n**2. Find the third derivative of f(u) wrt u.\nAnswer: 2100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -1 (c) 1\/2 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**6)*r**(-2\/35)\/r)\/(r**(-17)*r**(-2\/5)) assuming r is positive.\nAnswer: r**(782\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {w: 7, q: 4, t: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*m - 1299 - 1009 = 562 + 694 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 84071.7 to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 676 + -1017. Let v = 341.00000419 + b. Round v to 7 dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457398?\nAnswer: 2, 3, 25411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162969734*k**3 + k**2 + 7666*k - 1020?\nAnswer: -977818404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 d when three letters picked without replacement from djhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 - 2*b**3 - 2*b**2)*(11 - 3*b - 11) + (-4*b**2 + b**2 - 2*b**2)*(-4*b**2 + 4*b**2 - b**2) to q*b**3 + x*b**4 + l*b**2 + k*b + n and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1463.7 - -1464. What is the biggest value in 3\/5, 21, v, 0.5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29996, -30012, -30048, -30110, -30204, -30336?\nAnswer: -30512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 29. Let n = 49 - 40. Calculate the remainder when 8 is divided by z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/8 + 14\/4. Which is the nearest to 0? (a) -0.3 (b) 0.8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6854?\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (71 - 183) + 99 - (-1 - -32)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -5. Suppose 0 = -r - 3*t - 1 + 2, -4*t = h*r - 12. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 times 574672?\nAnswer: -4022.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7602803 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 - 153?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 8:53 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 72. Suppose -p*q + 35*q + 25 = 0. Suppose -3 = -q*l - 8, 4*s = 2*l + 3342. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -173.49722 from -26080.3.\nAnswer: -25906.80278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2\/17 (c) 3\/2 (d) -2\/5 (e) 148\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-40)\/(-15))\/((-68)\/5200266) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 53 = -q, 2*r - 24 + 3 = 5*q. Find the first derivative of 114*w - 114*w + 34 + 27*w**2 - r wrt w.\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4390\/(-6)*(-3 + 6 + -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 2*x - x**3 - x + 0*x - 1. Let n be q(1). Let j = -10522 + 10527. Solve -j*u + 4*z - 5*z = 0, n = -3*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 2\/11 (c) -745\/3 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 + -0.07. Let g = 0.1 - 0.1. Which is the nearest to -0.2? (a) g (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**5 - 3*x**2 + 3*x**2 + (-x**2 + 3*x - 3*x)*(2*x**2 + 3*x**3 - 2*x**2) - 5*x**5 + x**5 + 2*x**5.\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:37 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + (-7 - -4) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v - 162 = 0. Let k = 66 + -30. What is the highest common factor of k and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 53, 310, 843, 1742, 3097?\nAnswer: 4998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242686 is divided by 637?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -502 - -52?\nAnswer: -4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*1 + 43\/172.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 4)*(-5*a + 3*a + a)*(-4 + 4 + 1)*(-7 + 31 + 3).\nAnswer: 135*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417704 is divided by 208617.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3798 - 828. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-27)*(-71 - (-32016)\/384)?\nAnswer: 77\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -65265034 (base 8) to base 9\nAnswer: -28276568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + (-1 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34778.7857 - 34777. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 38. Let q(w) = 2*w**2 + 11*w - 4. Let m be q(x). Suppose v - 94 = -2*a - 12, -a - m*v = -38. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 2*l + 7)*(0 + 6 + 1)*(1 - 3 + 0) to b*l + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 4. Let c be z(-3). Let q be ((-96)\/72)\/(c\/(-3)). Solve 6 = f - q*p, 2*p - 17 = 3*f + 3*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 16 = v. Let l be ((-5)\/(-10))\/((-2)\/v). Suppose 5*z = l + 9. Solve 2*j = j - z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 0.1.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 534, 6, -9\/2, -5, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 14) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 56\/9, 2\/7 in decreasing order.\nAnswer: 56\/9, 2\/7, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose 2*o = -2*w - 34, -w + o = -p*o + 19. Let q = w + 46. Calculate the highest common divisor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266.2 - -243. Let p = 23.200123 + s. Round p to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Let a = -2.6 + w. Let r = -6.2 + 1.2. Put 4, a, r in ascending order.\nAnswer: r, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3055, 0.6, 8, -0.4 in increasing order.\nAnswer: -0.4, -0.3055, 0.6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 5003.\nAnswer: 20012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1657, -1477, -1183, -781, -277?\n\"Answer: -j**3 + 63*j**2 - 2*j - 1717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2804*o**2 - 8*o + 89*o**5 + 2804*o**2 + (-2*o**4 + 0*o**4 + 3*o**4)*(-2 - 2*o + 2) - 2*o**5 - 2*o + 2*o.\nAnswer: 85*o**5 - 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 67, 1 in decreasing order.\nAnswer: 67, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/8 + 19*x**2\/4 - 343*x\/8 - 3515\/2 = 0. Calculate x.\nAnswer: -37, -20, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 209.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b - 447 + 148 = 195 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/2 - 3*s**2\/2 - 3*s - 4. Let q(d) be the first derivative of k(d). Differentiate q(c) with respect to c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 18960*k + 534800.\nAnswer: -5*(k - 3820)*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1306692 divided by -1332.\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10254400\/180 + (-8)\/9 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or -738?\nAnswer: -738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 11*m**3 + m**3 + (2 - 2 - 2*m)*(-3*m**2 - m**2 + 5*m**2) + 5*m**3 - 5*m**3 + 2*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*q**2 - 63*q**2 - q**3 + 0 + 49*q + 2 to the form b*q**2 + x + l*q**3 + f*q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1484, -2972, -4460, -5948?\n\"Answer: -1488*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 - 110 = 0. Let h(z) = -z**3 - 17*z**2 - 6*z + 9. What is the remainder when h(-17) is divided by x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4762755\/40 + 3\/24 + -4. Is (-7)\/28 + f\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18465 + -18468. Let x = 2.95 + 0.05. Which is the third biggest value? (a) -2\/19 (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*k - 8*x - 21*x + 162, -3*k + 3*x + x = -30 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = 186\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/78 (b) -1\/6 (c) -1\/4 (d) -7 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.97 + 0.03. Let o = -4638337.87000063 + 4638318.87. Let g = o + c. What is g rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, d: 1, k: 1, q: 3}. What is prob of sequence sc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(112)*-3 - (sqrt(112)*1 + sqrt(112) + 5))**2 + 5.\nAnswer: -160*sqrt(7) + 1818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/40 and 53\/39660.\nAnswer: 79320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88452117 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**3 + 16*y**2 - 13. Let u(r) = 4*r**3 - 2. Let c(q) = b(q) - 2*u(q). Let a(j) = -6*j**3 + 8*j**2 - 4. Give -9*a(t) + 4*c(t).\nAnswer: 2*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35 + -0.4. Let w = -1859 + 1858.950048. Let q = d - w. Round q to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510*a**3 + 110957*a + 14*a**3 - 110957*a.\nAnswer: 524*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/94 and (0 - (-9)\/(-36)) + (-305)\/(-160).\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1231, 2666, 4333, 6238, 8387, 10786?\n\"Answer: j**3 + 110*j**2 + 1098*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 61*y**3 + y**2 - 13*y. Let r = 1361 + -1370. Let b(o) = -15*o**3 + 3*o. What is r*b(v) - 2*d(v)?\nAnswer: 13*v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**(1\/2)*p*p\/p**(-13) assuming p is positive.\nAnswer: p**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*l + 85, -4*l - 5*i + 10*i = 105. Let s(d) = d**3 + 21*d**2 + 19*d - 20. Give s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -11*j**5\/50 + 37*j**4\/30 + 62*j**3\/5 - 72*j**2\/5 - 915*j. Find p, given that z(p) = 0.\nAnswer: -3, 4\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*f**2 + (4*f + 3*f - 5 + 4)*(0*f + 0*f - 2*f).\nAnswer: -16*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-609)\/261)\/(28\/36)*82*(-3)\/(-18)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {c: 1, p: 1, s: 5, e: 7, x: 4, b: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7530026 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c. Let d(x) = 2*x. Let s = -13 - -17. Give s*y(q) + 5*d(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 214*z + z**3 + 214*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/364*2*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 24*j + 1788. What is z(-78)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2704*d**2*f**2 + 3*d*f**2 + 25*d - 2*f**2 + 1 wrt d?\nAnswer: -5408*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*1)\/(-266 - -264). Let n(f) = -30*f + 3. Give n(p).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/2 + 165*i + 1525\/2.\nAnswer: 5*(i + 5)*(i + 61)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 + -61. What is the greatest common divisor of a and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2707126, -5414259, -8121392?\n\"Answer: -2707133*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 330*u**2 + 13*u - 657*u**2 + u**3 + 61*u**4 - 29*u**4 + 317*u**2 in the form k*u**2 + p*u**4 + q + s*u + o*u**3 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (513*o**3 + 43*o**3 + 28*o**3)*(-2 + 1 + 5).\nAnswer: 2336*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 31*h**2 + 2*h - 56. Let z be u(31). Suppose z*c + 22*c = 56. Solve 3\/2*t**c - 39\/8*t**3 + 0 + 15\/8*t**4 + 3\/2*t = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*2)**2 + -5 - (-3 + sqrt(252)*2 + sqrt(252))) + (sqrt(252) + -3 - sqrt(252))**2*-6 + -3*sqrt(252) + sqrt(252) + 3.\nAnswer: -30*sqrt(7) + 955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-621)\/(-891) + 1\/(-3)*-2 and -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f = -84*f + 102. Solve 0*d + f = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 205*d + 3871 = 62*d + 47*d for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {b: 1, x: 1, m: 4, f: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 106*i - 669. Let b be w(-6). Solve 6*r - r - 5*j = 5, 3 = -b*r + j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -48) + -71 + -1 + 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 9. Suppose -d - 3 = -3*f + 2*f, -4*f + 6 = -d. Let o = i - d. Sort -5, o, -4 in ascending order.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13*u**2 + 3*u - 4. Let s be o(4). Suppose -2*y + 1 = -5. Suppose -y*p = -5*p + 54. Calculate the greatest common divisor of s and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*s - 13. Let o = s + 16. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 134980, 539910, 1214792, 2159626?\n\"Answer: 134976*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523 = -3*u - 497. Calculate the common denominator of 56\/5 and (-6)\/((-5)\/(u\/54)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*h**2 + 52*h\/3 - 16\/3.\nAnswer: 2*(h + 2)*(15*h - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3213)\/(-8085) + 925\/(-2035).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3298*u + 3298*u + 21*u**2.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 7 (b) -0.04 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 16 + 71*p + 9*p**3 - 15 + 38 + 30. Differentiate h(d) with respect to d.\nAnswer: 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 13 + 17 = 3*t, 62*q - 295 = 3*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - o + 20, 73*u - 72*u + 4*o - 10 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 + 0.5. Let o = x - 2. Let b = 2.5 + o. Round b to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivmiivmmmmvivivivv. Give prob of picking 3 v.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 4*x + x**2 + 6 - 2 - 8*x**2 - x**3. Is a(-7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-20 - -17 - (-7 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -1, -17, -59, -139, -269?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*f - 10 - 3, 3*b = 5*f - 1. Suppose 2*g = -193*g + 2934 - 594. Let h be (b - (-45)\/g)*44. Calculate the greatest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -511*i + 511*i - 149*i**2. Let c(z) = 3*z. What is c(k(b))?\nAnswer: -447*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 708\/20 - 8\/20. Let h(o) = 7*o - 36. Let f be h(20). What is the highest common factor of n and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*g - 188, 2*d = -2*g + 3*g + 176. Suppose -4*h + d + 15 = -r, 2*h = 2*r + 58. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 525 = 4*b + 541, -10 = -2*y + 2*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001523 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5206, -12323, -19440, -26557?\nAnswer: -33674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(sqrt(468)*4 + 3))**2 + -3.\nAnswer: 36864*sqrt(13) + 1919229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpphllplblp. What is prob of picking 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 3*h**2 - 3*h - 3. Let j be g(-3). Suppose p + 2*p = j. Find the third derivative of -11*s**3 - 6*s**p + 24*s - 24*s wrt s.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 987026 and 987063 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -125, 17?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/437 + (-6)\/69 + 265996\/38 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 8*f**2 + 11. Let n be k(-8). Suppose -2*y = -15 - n. Suppose 5*i - 37 = y. Are 9 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**3\/3 - 89. Let v(i) = -311*i. Give h(v(w)).\nAnswer: -96721*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1344.6 - -1360.607. Let z = -16 + s. What is z rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1469 = 2*b, 5*b + 0 - 10 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51*(-96)\/42432)\/(6\/(-2))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24503 + 126?\nAnswer: -24377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.141 - 4.\nAnswer: 5.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233741.7ns to days.\nAnswer: 0.00000000270534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/15)\/((-38)\/57) + 0. Which is the nearest to 0.6? (a) -1 (b) 0.4 (c) z (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -653*d**2 + 53*d - 12. Let t(z) = 980*z**2 - 81*z + 18. Let f(o) = 7*k(o) + 5*t(o). Find the second derivative of f(q) wrt q.\nAnswer: 658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11240\/43013 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 - 8*v + 23. What is n(5)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -445*i - 23599. What is y(-53)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*b - 30*b + 1. Is b bigger than 1\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l - 51. Let y(i) = -4*i - 25. Let u(d) = 2*g(d) - 5*y(d). Calculate the remainder when u(0) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1067 - 1065. Solve 0 = -t*l + 8*l - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52878 and 5344?\nAnswer: 141290016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*l**5 - 13*l**5 - 24*l**5)*(4 - 1 - 2) + (l**2 - 2*l**3 - l**2)*(l - l**2 - l).\nAnswer: -20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/30*(-4)\/12\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + -362?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 130 + 106. Solve 12 = x*m - 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6147.945 rounded to the nearest ten?\nAnswer: -6150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128405.8 or 0?\nAnswer: -128405.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/28 + (5 - 108\/24). Which is the nearest to 0.2? (a) i (b) 4 (c) -5\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -215*s**3 - s**2 - 4*s - 13. What is the hundreds digit of b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7 - (0 + 3))\/7)\/(36\/(-2898))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2630, -2602, -2534, -2408, -2206, -1910?\nAnswer: -1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**7*x\/x**2*x**6)**27 assuming x is positive.\nAnswer: x**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3822774 centimeters to millimeters.\nAnswer: 3.822774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -19, -23, -25?\n\"Answer: v**2 - 9*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 13*f + 99358 = 99359, 5*m + 5*f - 25 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3.8, 4, 2\/3, 1\/4, 2\/53 in descending order.\nAnswer: 4, 3.8, 2\/3, 1\/4, 2\/53, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*l**3*m**2 - 1343*f**3*l*m**2 - 2*f**3*l + 39*f**2*l**3*m + l**3*m + 2*m wrt m?\nAnswer: 4*f**3*l**3 - 2686*f**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 + 5*a**3 + a**3 + 2*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w**3)**28\/(w**(4\/9)\/w*w**(-4)*w)**(10\/17) assuming w is positive.\nAnswer: w**(-8248\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 11*d - 478*d**5 + d**3 + 0 + 514*d**5 + d**2 wrt d.\nAnswer: 2160*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9199\/500 - -44\/125. Let n(q) = 1545*q**2 + q - 2. Let g be n(1). Let m = g - 6099\/4. Find the common denominator of d and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 13*q - 28. Suppose -7*j + 3*j - 2*x = -36, -3*j + 17 = 4*x. Give i(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1933 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31107949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 48 = -2*a + 24, 4*a = 2*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11439*b + 11435*b + 116 = -2*d, -116 = -4*b - 5*d for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 153, 381, 681, 1047, 1473, 1953?\n\"Answer: -k**3 + 42*k**2 + 109*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -448*a + 708*a + 607*a + 16473 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1890 and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 858*m + 308071. Determine n(-359).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 11*a - 4. Let v be f(10). Suppose -2*b + 3*q - 7 = 0, 4*b - 2*q + 0*q = v. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246 (base 9) in base 6?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-2\/7))*i)\/((i\/((i\/(i**6\/i))\/i))\/i))\/(i**(2\/7))**(5\/12) assuming i is positive.\nAnswer: i**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107232353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 81*d - 709. Let o be x(-23). Suppose -y + 5 + 15 = 0. Suppose 0 = 4*s - 108 - y. Calculate the greatest common factor of s and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97076633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 12*x**2 - 25*x + 34. Let m be q(-9). Calculate the highest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 970237\/1617045 + -2\/323409. Find b, given that -u*b**2 + 18 - 39\/5*b = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.15 or -0.00156?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558894 is divided by 519621?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 + 468*o + 36018.\nAnswer: 3*(o + 138)*(o + 174)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.049 + 4.939. Let v = 0.11 + l. Which is the nearest to 2\/5? (a) -5 (b) v (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**2 + 0 + 7\/6*g**3 + 5\/12*g**4 + 0*g. Let h(b) = 7*b + 5. Let i = -263 - -270. Calculate i*h(c) - 5*q(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1350, -2699, -4048, -5397, -6746?\n\"Answer: -1349*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + -2. Let v = a - -32. Calculate the highest common factor of 48 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 591, 5111, 17405, 41361, 80867, 139811, 222081?\n\"Answer: 648*v**3 - v**2 - 13*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -703*123*6\/2. Let v be (-4)\/6 + -7 + w\/(-27). What is v rounded to the nearest one hundred?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41.9 - 8. Let j = 33.8 - p. What is the smallest value in -3, -2\/19, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {r: 1, n: 4, c: 1, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3\/12 + 19*b**2\/4 + 39*b\/4 - 125. Suppose k(r) = 0. What is r?\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1729978 + 9\nAnswer: -1729969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = 0, -2*u + 4*w = -3*u + 21. Suppose 0*m - u*m = -55. Calculate the highest common divisor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/2, -3\/11, 0.4, 5 in decreasing order.\nAnswer: 5, 3\/2, 0.4, 0, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 2*x - 8981. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 11}. What is prob of sequence eww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 11127 = -32343. What is the common denominator of 163\/126 and (-5970)\/r - (32\/14 + -2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430, 1846, 4242, 7624, 11998, 17370, 23746?\nAnswer: 31132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2730655 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (-4*((sqrt(152) - sqrt(152)*2) + sqrt(152)) - sqrt(152))) + sqrt(152) - sqrt(152))\/(sqrt(16)\/sqrt(18)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w = -14*w - 59192. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -104415*m**3 + 2 - 3*m + 2 + 5*m**2 + 104414*m**3. Calculate l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4 - 76*n**3\/5 - 88*n**2\/5 + 48*n\/5 = 0 for n.\nAnswer: -6, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6941 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31447117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 4*l + 30 = -2*h, 4*h = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2. Let p = -1 - 0. Let i(b) = b**2. Let d(f) = p*i(f) + s(f). Let g(k) = -5*k**2 - 1393*k + 1393*k. Calculate d(g(w)).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5*(-4)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13*y**3 - 40*y**2 - 21*y - 46. Let m(j) = -2*j**3 + 2*j**2 - j - 2. Let g(n) = 6*m(n) + q(n). Give g(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -880, -1775, -2668, -3559, -4448, -5335, -6220?\n\"Answer: h**2 - 898*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187*y**4 - 2*y**3 - 20*y - 4 wrt y.\nAnswer: -2244*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3060 = -12*o. Suppose 0 = -2*u - 5*s + 610, -12*u - o = -13*u - 3*s. Does 30 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3)\/(1\/(-6)). Suppose -3*f + 3*r + 0 = -15, 3*f = -r + 35. Suppose 0 = -0*t + t - j + f, 0 = t - 4*j + 25. Put t, -2, m in increasing order.\nAnswer: t, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1)*27\/(-9). Let j(f) = f**2 + 3*f - 2. Determine j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0 - 79\/10*m**5 - 130*m - 5\/2*m**2 + 0*m**4 + 11\/3*m**3. Find the second derivative of w(v) wrt v.\nAnswer: -948*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 174*w - 33. Let u(y) = 2*y**2. Calculate u(l(t)).\nAnswer: 60552*t**2 - 22968*t + 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(36)\/sqrt(9)) - sqrt(32)*5.\nAnswer: -19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 6:24 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229 + 229.2. What is the biggest value in k, -1\/20, -1.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 2*k - 5, -3*z - 25 = -6*z + 2*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 58*j**2 + 64*j + 833. Let o be y(-57). Solve o*t - 440*t - 48 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40905760, 81811524, 122717288, 163623052?\n\"Answer: 40905764*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 345 and 49611?\nAnswer: 248055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -174, 10, 0.4, -1\/5 in descending order.\nAnswer: 10, 0.4, -1\/5, -0.4, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5026 - -108.0126. Let z = r - 103. What is z rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/((-405)\/(-120)). Which is the third smallest value? (a) 4 (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 + 2*s**4 - 2*s**3 - 11*s**2 + 16*s**2 - s**4 in the form j*s**3 + h*s**2 + p*s**4 + y + c*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(75) + sqrt(75) + -1)**2.\nAnswer: -80*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942986747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*r. Solve -l + 4*h - 32 = 2*l, -4*l + h - 21 = r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14286?\nAnswer: 2, 3, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-3)\/18*(-296)\/407?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45808, 45816, 45824, 45832, 45840?\nAnswer: 45848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(2\/(-8)) + 20\/4. Let b(a) = -a**2 + 12*a - 25. Let o be b(d). Solve -4*j + 22 = l, 21 = o*l + 2*j + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3))\/(1\/(-6)). Find the second derivative of -5*d + 3*d**4 + 2*d + 5*d + r*d**4 wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w + 177. Let u be i(-13). Let x(k) = k**2 + 8*k + 14. Let y be x(u). Let t = -8\/15 - -101\/105. Which is the nearest to 0? (a) -4 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c0c (base 13) in base 9?\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 47*c - 14*c + 17 - 22*c - 16*c. Is u(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -1)\/2 - -9. Suppose -3*r - 48 = -4*a, -3*r - 20 = -x*r. Calculate the remainder when 42 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10)*g)\/g**(-20\/9)*(g\/(g*g**(-3\/5)))**5 assuming g is positive.\nAnswer: g**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*g - 48 = 0, 20 = 765*u - 766*u + 2*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 25374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*l + 12, l + 0*l - 18 = -4*u. Suppose 7*r - 3*r - 5698 = -l*f, 3*f - 8602 = 5*r. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x + 55*x = -30860. Let b = x - -29271. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2303?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(2\/9)*y)**(-7)*(y*y**(1\/5))\/(y*y**(-10)) assuming y is positive.\nAnswer: y**(-416\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -1153\/406?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18059 - -18330. Is z != 812\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fntynyryfyaf. Give prob of picking 1 y and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -71*x**2 + 261 + 506 + 80*x**2. Let t be a(0). What is t rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 5*z**2 + z - 1. Let c be b(-5). Let g be ((-3)\/c)\/((-7)\/8 + 1). Suppose m = -g*d + 548, -m = -2*d - 4*m + 274. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19223, -19748, -20225, -20630, -20939?\n\"Answer: 4*b**3 - 553*b - 18674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9680*y**4 + 23320*y**3 + 14045*y**2 = 0 for y.\nAnswer: -53\/44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 52, -2, -128, -350, -692?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - 6 - (-21 - -18) - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 9\/(-6) - (-6)\/4. Let m be (2\/k)\/(2\/18). What is the highest common divisor of 15 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303718 is divided by 14482.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9177\/1995)\/(3\/(-9)*3).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2754)\/765)\/(126\/(-980))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 65660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 10. Let n(o) = -o**2 + 39*o + 41. Let s be n(21). Let p = 823\/2 - s. Is l bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 - 4668725*u - 14006130 = 0. What is u?\nAnswer: -933742, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 197.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43928, 173578, 389670, 692210, 1081204, 1556658, 2118578?\n\"Answer: l**3 + 43215*l**2 - 2*l + 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/2184 + (-10621)\/266\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, x: 1, r: 4, n: 2}. What is prob of sequence rhxr?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Suppose 5*a - 92 + 37 = 0. Suppose 2*u + 4*t = 3*t + 11, -5*u = -3*t - a. Let r = u + -3. What is j(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + 449*c + 160592. Determine d(318).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 7*y - 37. Suppose y = 2*p - 209. Is p a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 17*a + 5. Let j be c(9). Suppose j = -5*d + 7*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794873705 to the power of 1\/2, to the nearest integer?\nAnswer: 28194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - -109. Suppose 107 = h*i + 32. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/5 + 240819*t**2\/5 + 1444833*t\/5 + 2167209\/5.\nAnswer: 3*(t + 3)**2*(t + 80267)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 664.3346 nanograms?\nAnswer: 0.0006643346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + -52. Let a = h - -10. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300080 is divided by 273.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 77 = 9*b, 3*b + 35*w = 37*w + 29 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127 - -1.0794837.\nAnswer: 128.0794837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79*g*u**2 - 54*g*u - 311460*g + u**2 - u wrt u?\nAnswer: 158*g*u - 54*g + 2*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5361\/4 - -34829\/26. Let p = 1\/13 - j. Let h = -26\/87 + -1\/29. Which is the third biggest value? (a) h (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9195842 a multiple of 662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/((156\/8)\/(-13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*y - 3, -3*y - 1 = -2*y - h. Solve -4*i + 15 = 5*o, 0 = y*i + 3*o - o - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000310482 to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 2270600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 1059 (c) 2\/13 (d) 0.29 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28841*u + 28844*u + 11*u**3 - 22*u**3.\nAnswer: -11*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1123 + -0.178.\nAnswer: -1123.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-1)\/(-13) - 26466\/750672)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 + 6*l + 3. Let w(o) = 5*o**2 + 5*o + 4. Let i(v) = -4*s(v) + 3*w(v). Find the second derivative of i(c) wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*n - 3 - 1 - 36*n - 26*n.\nAnswer: 41*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 1, q: 4, u: 2, l: 1}. What is prob of sequence qgl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259*z + 1254*z - 155 = 2508*z for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 32. Let s be q(25). Sort s, 2, 0 in increasing order.\nAnswer: 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2005 + 2049. Calculate the remainder when 171 is divided by g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -605 and -4.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1724481 - -1137181. What is o rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 4441052.\nAnswer: 39969468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a + -81314?\nAnswer: -81372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2456942195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 524 and 2489.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + y**3 - 2*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 + 101. Put 0.192, -2, f in increasing order.\nAnswer: f, -2, 0.192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 4*z**2 - 3*z**2)*(-2 + 2 + 1 + (-1 + 2 + 2)*(-2 + 2 + 2)) + 3 + 6*z**2 - 3.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -598 - a?\nAnswer: -5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**5\/5 + 19212*o**4\/5 - 76794*o**3\/5 - 211376*o**2\/5 + 1267608*o\/5 - 1382688\/5 = 0?\nAnswer: -4, 2, 3, 9602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8965 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 5*h + 2*h + 2*h)*((3 - 4 + 8)*((-2 - 4 + 4)*(-1 + 3 - 3) + 3 - 2 + 0) - 2 + 0 - 1) in the form p + f*h and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -27*m + 31*m - k, m + 299 = 12*k - 358 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(3*c**2 + 3*c**2 - 4*c**2) + (-66*c - 169*c + 29*c)*((-2*c + 3*c + c)*(5 - 2 - 2) + (-c - c + c)*(3 - 1 + 1)).\nAnswer: 204*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 16*t + 192 = 0, -17*s + 505*t = 503*t - 24 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*m**2*u**2 - 2*m*u**2 + 5*u**2 + 3*u wrt m.\nAnswer: -60*m*u**2 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11154 - -172?\nAnswer: -10982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55513 + 434?\nAnswer: -55046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - 21\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + 4*c**2 - 12*c + 34. Give r(3).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9832 (b) -528 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 + 12960*t**2 - 12948*t - 25912 = 0.\nAnswer: -1, 2, 3239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-28) + (123\/164)\/((-126)\/220).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 5, 821, -2 in increasing order.\nAnswer: -5, -2, -0.4, 5, 821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from bbrrbbrrrbrr.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.148 - -0.052. Let g = k + -0.2. What is the second biggest value in g, 0.2, 1\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3512 (base 7) in base 4?\nAnswer: -110003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6015)\/52 + (-18)\/(-24). Let w = y - -115. Suppose 5*k + i = 2*i + 4, 0 = k - 3*i - 12. Which is bigger: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 2\/15, 4\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let h = 0.27 + 38.93. Let i = 39 - h. Which is the nearest to -2? (a) 0 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237044120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -158534 (base 12) in base 10?\nAnswer: -367096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*q - 5*t, 17*q - 3*t - 6 = 12*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000041925 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-8))\/((-4)\/16). What is the derivative of -q - 1 + 9 - 4*n**2 + 0*n**2 wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from kxkxkjxkxjk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 1:27 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z - z)*(-3 - 2*z + 3) + 0*z**2 + z**2 + 0*z**2 - 7*z**2 + 2 + 9696*z - 9696*z.\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 2, 0.1, 945, -0.1 in decreasing order.\nAnswer: 945, 2, 0.1, -0.02, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d - 1. Suppose 19*i = -6*i + 50. Calculate v(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 7*u**5\/12 - u**4\/12 + 8*u**2. Calculate the remainder when b(1) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.121 and 0.6?\nAnswer: -0.0726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*q - 77 = 0, q = -g + 3*g - 37. Suppose g = -2*j - t, -5*t + 10 = 30. Let w = -4 - j. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*f = -85, -3*a + 2*f + 43 = -94. Let j = a + 2. List the prime factors of j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 12158bc0?\nAnswer: -12158bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 21.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2612214 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*x + 4. What is the second derivative of x*w + 15*w**4 + 4*w - 8*w wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 11*k**2 + 4*k + 8. Determine x(10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g + 49*g + 5*q = -2, 4*q = 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -34*(-7)\/((-14)\/(-4)). Suppose -5*d + 22 = -p. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -667 + 667. Let q = -8 - -25\/3. What is the nearest to n in q, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 7*b**2 + 4*b. Let p(g) = -5*g**3 - 20*g**2 - 11*g. Determine -11*c(w) - 4*p(w).\nAnswer: -2*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/17 at least as big as -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96, 97, 98, 99, 100?\n\"Answer: l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*c + c - u, 7 = c - 4*u. Suppose r + 5 = b - c, -2*r = 5*b - 5. What is the biggest value in -3, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1252 + -640. What is the remainder when g is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*h**2 + 23*h**2 - 17*h**2 - 6*h**3.\nAnswer: -6*h**3 - 32*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*z**3 - 146*z**3 + 2*z**2 + 44*z**3 + 45*z**3.\nAnswer: -15*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420618099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by -6.\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204048?\nAnswer: 2, 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*r - 25, -n = 3*r + 4 + 7. Let o be (3 + n)*-1*2. Solve -o*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 + 5*d**4 - 35*d**3 - 5*d**2 + 30*d = 0. What is d?\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/12 - g**3\/6 - 5*g**2\/2 - g. Let q be z(0). Let b(h) be the first derivative of -h**2\/2 - 8*h - 18. Give b(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 56, -130, -5, 3, 4, -37 in decreasing order.\nAnswer: 56, 4, 3, -3, -5, -37, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*i + 0*i**2 + 0*i**2 - 3*i**2.\nAnswer: -3*i**2 - 56*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**4\/8 + 8*q**3\/3 + 23*q**2. Determine x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23970167 and 23970150 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -95775, -95783, -95795, -95811, -95831?\n\"Answer: -2*l**2 - 2*l - 95771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3531536 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**3 - 5*n**3 - 2*n**2 - 9*n - 9*n + 7. Does 7 divide u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 171, 168 in decreasing order.\nAnswer: 171, 168, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**3 - 5*u**2 - 4*u - 7. Let o(h) = -7*h**3 - 6*h**2 - 5*h - 8. Give -6*g(m) + 5*o(m).\nAnswer: m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -114 + (3 - 8) - (33 - (61 + -13))\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-213.8185\nAnswer: -427.637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 922457142 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 15*s + 29. What is y(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2 - 2643756*f = 0.\nAnswer: -660939, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o + 5*q = -36*o + 185 - 240, -2*o - 12*q - 110 = -5*o + 22 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 - 8*p + 9. Let j(f) = -5*f**2 - 8*f + 9. Let g(m) = 5*j(m) - 6*r(m). Let b(i) = i**2 - i - 373. Let o be b(-19). Determine g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 362*t - 86. Let o(k) = 181*k - 37. Determine -7*o(s) + 3*p(s).\nAnswer: -181*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(-2*6\/(-96)). Let x be ((-6)\/5)\/(1*y\/130). Differentiate -54 + 2*r - 64 + x*r + 73 wrt r.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14\/51 + 1145\/102. Find the common denominator of (-2)\/(-11) + (-1)\/(-2) and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrcrrqrqrrr. Give prob of picking 1 r and 2 q.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 338\/9, -9, -2, -0.23, 4 in descending order.\nAnswer: 338\/9, 4, -0.23, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 57 - (-4 - (-70 + 58))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = -2*g, 0 = 4*g - 2*r - 8. Calculate the greatest common divisor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2317 + 2300.966.\nAnswer: -16.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19699*i + 19716*i - 391 = 0. What is the remainder when 10186 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -14. Let w = 35 + g. Calculate the greatest common divisor of w and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 0.5 (c) -2 (d) -91 (e) -1\/5 (f) 6192 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238 and 68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10447 * -0.043\nAnswer: -449.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198 is divided by -3*2\/(-6)*(100 + 29)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 0*d + 3*d)*(2*d**3 + 34 - 34).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -39*p**5\/4 - 189*p**4\/2 - 225*p**3\/2 + 735*p**2 + 7209*p\/4 + 2079\/2 = 0?\nAnswer: -7, -3, -22\/13, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from hhfkubuk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17543.28 - 17541. Sort 9, 2\/3, 5, w in decreasing order.\nAnswer: 9, 5, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**2 - n**3 - 5*n - 13*n**2 + 4*n + 6*n**2 - 1. Let f be 0*1*1\/2. What is m(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 1. Let n(j) = j + 2. Calculate 3*g(l) + n(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7743073 (base 8) to base 5.\nAnswer: 1013113423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.088.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 4*d**2 + 2*d - 8. Let g(q) = -2*q**3 + 9*q**2 + 4*q - 16. What is 4*g(x) - 9*p(x)?\nAnswer: x**3 - 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5553 and 3.\nAnswer: 16659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1.1194665.\nAnswer: 5.5973325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 11*w**2 + 10*w + 8. Let h be g(-8). What is the greatest common factor of 60 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/70*(-21)\/18*3.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 15\/5 - -2. Suppose m + 3*d = -35, -2*m + m + b*d - 40 = 0. Is m != -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002349807516 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8087 - -7?\nAnswer: -8080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 3*p + 12, -3*p + 12 = 3*y - 0*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/20 + p**4\/6 + 26*p**2 - 106*p + 2. Let y(l) = l**2 - 3*l + 2. Let g be y(2). List the prime factors of d(g).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 10)*(12*p**2 - 12*p**2 - 4*p**3).\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2216 and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + 9*r**2 + 5*r - 6. Let w be v(4). Calculate the greatest common factor of 420 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 72745, -5, 0.3, 0.4, -0.08?\nAnswer: 72745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2148887390.\nAnswer: 2, 5, 13, 1271531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1790462523.79999724 + 1790462575. Let x = -51.2 + k. Round x to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 4. Let s = -3 + i. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4341788410 to the nearest 1000000.\nAnswer: 4342000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.1 + -28. Let q = 7 + -12. Let n = q - -7. Put 2\/5, n, s in increasing order.\nAnswer: s, 2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/7, -1\/327, 20776?\nAnswer: -1\/327","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**3 + t**2 + 2*t + 1. Let b be x(-1). Solve 3*u - 2*u = -b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o**2 + o + 1. Let h(c) = 30*c - 12*c - 18*c + c**2. Calculate -18*h(f) + 2*s(f).\nAnswer: 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 21*v**2 - 20*v + 8. What is m(-22)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1934*r**2. Let v(l) = -485 - 3*l + 1453 - 484 - 484. Calculate v(k(c)).\nAnswer: 5802*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21378 is divided by 3533?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13, -70, 1\/5, -1\/3, 0.4, -5, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.5, 3\/8, 1\/2, -29, -16 in descending order.\nAnswer: 1\/2, 3\/8, 1\/4, -0.5, -16, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111111011010111111101110 + -10?\nAnswer: 11111111011010111111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 399*j**3*r + 1251*j**3 + 5*j**2*r - 5213*j**2 + j + 22*r wrt j.\nAnswer: 2394*r + 7506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 66625.795 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*i - 3*a + 1, 2*i - 6 = 4*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 + 130. Let z(o) = 2*o - 1. Calculate z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1993, 1452, 891, 292, -363, -1092?\nAnswer: -1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 2\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1131 - -1133. Let p = -139 - -403\/3. Which is the closest to 0? (a) p (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 388897713?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 2*a - 4. Let b be k(5). Let w(p) = 5*p**2 + 12*p - 153. Let l be w(7). What is the greatest common divisor of b and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -2*q + 5*t, 4*t + t + 269 = 4*q. Suppose 8*f - 5*f - q = 0. What is the remainder when f is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7344401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 76 (c) -1\/5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -114, -126 in ascending order.\nAnswer: -126, -114, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/76 + (-4)\/(-38) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216 - 210. Suppose -h = -2*i - 202, 3*h = s*h - 2*i - 614. What are the prime factors of h?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, h: 3, z: 2, d: 1, w: 5}. Give prob of picking 1 h and 1 w.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (3 + 0))\/(-2 - -1). List the prime factors of (-24361)\/(-153) - ((-14)\/18 + z).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -29*a**3 - 7*a**2 - 9*a - 7. Let n(t) = 14*t**3 + t**2 + 4*t**2 + 4*t - 193 + 375 - 179 - 2*t**2. Calculate 7*n(b) + 3*z(b).\nAnswer: 11*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -1.14. Let f = x + -0.24. Round f to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**10*s)\/(s\/(s*(s\/(s**11\/s)*s*s)\/s))*((s**1\/s*s)\/s)**(-1\/4) assuming s is positive.\nAnswer: s**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469718 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.46812m?\nAnswer: 346.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 18*y + 38. What is the remainder when 207 is divided by s(-12)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 1, h: 1, g: 1}. What is prob of picking 1 s and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38192, -37998, -37674, -37220, -36636?\nAnswer: -35922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**3 - 868*x - 1035*x + 15*x**3 + 1898*x + 16*x**3.\nAnswer: 3*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 145\/(-10)*1*4620. Round d to the nearest one thousand.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 15. Calculate the remainder when a(-7) is divided by (-75)\/(-10) - (-2)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83310\/1181 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + z + 4*z + 2 - 2*z + 4*z**2. Suppose -35 = -4*f - f. Let s(o) = 2*o**2 + o + 1. Let l = 2732 - 2736. Determine f*s(p) + l*r(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.87 - 0.749. Let c = -0.421 + i. Is c >= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(171) - -3*sqrt(171)) + sqrt(171))*1 - (0 + 3 + (sqrt(19) + 2)*-3))**2.\nAnswer: 198*sqrt(19) + 20700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummyuppmmyduumt. What is prob of picking 1 u, 1 y, 1 m, and 1 d?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q. Let d(v) = 525*v. What is d(j(h))?\nAnswer: -1050*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1213 + -854. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w - 0*w. Let i be (6\/w)\/((-4)\/(-6)). Is (9\/(-36))\/(i\/524) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y - 3 = k, 2*y + 4*k = -12. Let x(g) be the third derivative of -g**4\/24 + 5*g**3\/3 + 2*g**2. Does 10 divide x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 5. Let o be p(2). Let j be o\/(-2)*(6 + 2). Suppose -f - 4*f + 36 = j*v, 3*f + 4*v - 28 = 0. What is the biggest value in 1\/2, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -82419707593.4\nAnswer: -82419707593.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/((k\/(k**8*k*k))\/k))\/k)**24*(k**(-2\/35)*k)\/k**(-3\/5))**(-6) assuming k is positive.\nAnswer: k**(-55764\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -330576875*l**3 - 157177450*l - 1 wrt l.\nAnswer: -1983461250*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19806032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*9\/(-4))\/((-81)\/(-54))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 2*j**4 - 5*j**4 + (-j**3 - 1 + 1)*(1 - 1 + 2*j) - 383*j**4 + 26033*j**2 - 26033*j**2 as w*j + d*j**3 + o*j**4 + l*j**2 + y and give o.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 121 - 111 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 90.6, -0.07, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 5*y**2 + 3*y - 1. Give r(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109\/5 - 629\/30. Are 0 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, 18, -4 in increasing order.\nAnswer: -15, -4, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15254193 less than -15254193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 - (-22)\/33. Find the third derivative of -16*s**2 + p*s**5 + 2*s**2 + 9*s**5 + 14*s**5 wrt s.\nAnswer: 1380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 747 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/176*-8*(-13)\/((-182)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42136511 - -4?\nAnswer: -42136504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(3 - (0 + 1)). Suppose -2*r + m = -2. List the prime factors of r*3*28\/4.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1148\/328*(-4)\/(-7)*5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12 (b) -0.05 (c) 5\/6 (d) -39 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + -9)\/((-9)\/12). Suppose -2*h + h = -j. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93 - 47 - 167*k**4 - k**2 - 324*k**4 + 0*k**2 + 2*k**2 wrt k?\nAnswer: -11784*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (-79 - (-13 + -17))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a microsecond in nanoseconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyysseysssvsvsyyes. Give prob of picking 1 s, 1 e, and 1 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -165, -387, -719, -1173?\n\"Answer: -2*h**3 - 37*h**2 + h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 3*f - f)*(2*f + 18*f - 13*f) + (0 - 3 - 1)*(12 - 12 + 3*f**2).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21.11 and -0.342105?\nAnswer: 21.452105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {y: 2, z: 1, u: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -5*q + 17*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17850, 37569, 57288, 77007, 96726, 116445?\nAnswer: 136164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 42*q - 76.\nAnswer: -2*(q + 2)*(q + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 2)*(-4*d**3 + 2*d**4 + 4*d**3).\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - ((-12 - -35) + -17 - 1 - -29)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*f - 106*f - 102*f - 71 - 108*f + 451*f.\nAnswer: -2*f - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617482943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1190*y**3 + 3*y**2 + 3*y + 9. Let a(d) = 2365719*d**3 + 5965*d**2 + 5965*d + 17895. Determine 3*a(j) - 5965*w(j).\nAnswer: -1193*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -247a210 (base 12) in base 9?\nAnswer: -14366503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2093616 and 1344.\nAnswer: 8374464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * -53.02\nAnswer: 132.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-11 + 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3562698 centuries in months?\nAnswer: 427.52376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 4:04 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 400 - 393. Let d be (-3)\/(-4)*(-7 + 3). Put 1, g, d, -5 in decreasing order.\nAnswer: g, 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*n + 12, 5*s = 3*n + 39 - 22. Sort -24\/65, s, -3 in increasing order.\nAnswer: -3, -24\/65, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 645811?\nAnswer: 72\/645811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(2\/(-1))\/(-1). Let h = -111 + 110. Which is the smallest value? (a) h (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479470997.\nAnswer: 83, 5776759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -20. What is the third biggest value in -16, p, 0.4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9312, 450, -2, 0 in descending order.\nAnswer: 9312, 450, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12642961200483*p**2 - 12317286*p + 3 = 0.\nAnswer: 1\/2052881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1266 + 1779. What is the greatest common factor of m and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -7, -0.22, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090342 minus -0.09?\nAnswer: 0.180342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56565, 113149, 169733, 226317, 282901, 339485?\n\"Answer: 56584*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/(8*15*(-9)\/(-10260)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4303.9305 rounded to the nearest integer?\nAnswer: -4304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 32*f - 16 = 36*f, 0 = -f - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29186 is divided by 97?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9650.445 kilometers?\nAnswer: 9650445000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 78233603?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2261532 divided by 7\nAnswer: -323076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85213 + 85213. Suppose -2*b + t + 6 + 3 = 0, -4*t = -2*b + 12. What is the fourth smallest value in 3, -2\/11, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 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: Put 1\/10, -7\/9, -1316, 2\/3, -5, 4 in decreasing order.\nAnswer: 4, 2\/3, 1\/10, -7\/9, -5, -1316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t. Let p(g) be the second derivative of -g**4\/6 - 8*g. Give p(j(z)).\nAnswer: -242*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -116.92. Let y = d + 0.02. Let w = y + 3. Is -2 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -40\/3. Let y = -4 + -10. Let g = y + 17. Sort 4, g, i in ascending order.\nAnswer: i, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**5 - 412*i**4 - 4124*i**3 + 10268*i**2 + 4120*i - 9856 = 0.\nAnswer: -11, -1, 1, 2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from lhboeljhlehebhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -59. Let a = n - 30.999852. Round a to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 = -b - 0, 2*u = 3*b - 29. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*t + t. Suppose 4*x = t*x - 4. Is 0 + 2 + x - -79 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14846\/43271 or -1?\nAnswer: -14846\/43271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (539*m - 539*m - 113*m**2)*(-5*m + 2*m - 3*m) - 19 + 19 - 19*m**3 to the form v + i*m**2 + q*m + d*m**3 and give d.\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 144, 145, 146?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075415?\nAnswer: 5, 11, 19553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 204?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 33095*x**2 + 530980*x + 1194300.\nAnswer: -5*(x - 18)*(x + 2)*(x + 6635)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + 2 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(30) + 5*(sqrt(30)*1 + sqrt(30)) + sqrt(750) + sqrt(750)*2 + sqrt(750))\/(1*(sqrt(6) - (sqrt(6) - 2*sqrt(6))) + 6*sqrt(6)*2) + -1.\nAnswer: -155*sqrt(5)\/14 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6*2\/12)\/(-1) - 5. Let k be (s - -7)*-5 - (-31)\/6. Let o = 0.3 - 0.2. What is the closest to o in k, -11, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 744 = 1482. What are the prime factors of k?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 20*g. Let y(h) = h**2 + 43991*h - 21996*h - 21995*h. Give y(q(k)).\nAnswer: 400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 372, -4 in decreasing order.\nAnswer: 372, 7, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 7:28 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 1\/5, -19, 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56085 or 55917?\nAnswer: 55917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -857 divided by 30?\nAnswer: -857\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 7 = -7*l. Is 9\/l + (-8391)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 2236\/(-39)*12\/46.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 104280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16072 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*p**5 - 310*p**4 - 371*p**3 - 103*p**2 + 22*p + 8 = 0. Calculate p.\nAnswer: -4, -1, -1\/2, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 - 41*b**3 - 2*b**4 + 41*b**3 + 0 wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 2*r + 2011 - 1977, -3*r + 36 = -5*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 11222?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u. Suppose -158*b = -22*b - 1632. Let z(o) be the first derivative of -b + 16\/3*o**3 + 0*o + 0*o**2. Calculate z(j(v)).\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1240245 and 2565?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from annbpaonooni. What is prob of sequence nb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 56454215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 174356985.3 - 0.07324\nAnswer: 174356985.22676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 110 = -9*d + 8*d, 0 = -3*o - 5*d + 134. Let h(z) = -2*z**3 - z**2 - 5*z - 3. Let g be h(-3). Calculate the highest common factor of o and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -1, -6, -3, 19.\nAnswer: -6, -3, -1, 19, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 + -148. Let m be 7\/42*5*2. What is the second biggest value in m, b, 1\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -52*n**3 - 5*n**2 - 69*n - 253. Does 223 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7*r*r*r**7)\/(r**(-10)\/r**(7\/2)) assuming r is positive.\nAnswer: r**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:03 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_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: Let r = -67 + 76. Suppose -r*y = -24 - 21. Suppose -y*l - 12 = -2*l. Sort 0.3, l, 1\/5, -0.1 in descending order.\nAnswer: 0.3, 1\/5, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25342*112\nAnswer: 2838304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -10.1. Let y = p - 4. Sort y, -0.4, 0.4 in ascending order.\nAnswer: -0.4, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53736 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2697*d + 5398. Determine v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + (sqrt(425) + 1 - sqrt(425)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/31 (b) 1\/4 (c) 3\/26 (d) -2\/27 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 - 4*u**2 + 4*u**2)*(16*u**2 + 3*u**2 - 2*u**2) to f*u**3 + j*u + q*u**2 + w + r*u**4 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13 = 4*b + 58, -3*b - 2*u - 82 = 0. Let q be -2 + 3 + 37 + 0. Let o = q + b. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*b = 820*b + 35886 + 105467 + 46135 for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 9*x**4\/2 + x**3\/3 + 867*x**2\/2 + x + 2352. What is the second derivative of h(i) wrt i?\nAnswer: 108*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**(1\/14)*g**(-1\/2)\/(g\/(g\/(g\/(g\/g**2*g*g*g)))) assuming g is positive.\nAnswer: g**(33\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 2*x**2 - 22. Determine b(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**16*g*g*g**14 assuming g is positive.\nAnswer: g**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9616913*n**3 + 2*n**2 - 2*n + 430929 wrt n?\nAnswer: -57701478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -461*o**3 - 4 - 20*o**2 + 187*o**3 + 277*o**3 in the form w*o**2 + b*o**3 + z + q*o and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 a factor of 1179336147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 94. Suppose -3*g + m - 279 = 0. Let u = g + 110. What is the highest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/((-1)\/2*-4). Let l = -5 + x. Solve -y + 2*i + 3 = 0, l + 1 = 2*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 1:36 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g\/g**(-1\/8)*g**(1\/9) assuming g is positive.\nAnswer: g**(233\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4932 in 2, -5, -4\/9, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10093746*l**3 + 68322830*l**2 wrt l.\nAnswer: 60562476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + -1 - (29 - -17 - 26 - 29)) + -9.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000086652292 rounded to 6 decimal places?\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.052 - -4.948. Sort b, 0.4, -12\/7 in descending order.\nAnswer: b, 0.4, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2475 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m - m + m - 2*m - 2*m + m + (2 - 1 - 3)*(2 - m - 2) to the form v*m + r and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114179476 is divided by 264.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 889859219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10287.00000007126 - 10287. What is k rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(171) + sqrt(19))**2 - (-2*sqrt(95))\/sqrt(5).\nAnswer: -38*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Suppose -89 = -3*y - y - l, 2*y - x*l = 27. Suppose 5*r + 1 - y = 0. Solve -v = -r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 19 + (-7 - 8) + 0 + -8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.4? (a) -1 (b) -18 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 63. What is the least common multiple of n and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 30 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 20. Let x be k(-5). Suppose -5*u + 2*g = -7, g = -5*u + 4 + x. Find the first derivative of 13*d**3 + d**u - 4*d**3 - 3 + 5*d**3 wrt d.\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*r = 134*r + 127008. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + 542. What are the prime factors of r\/5 - 6\/30?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3854, 29134, 96428, 226322, 439402, 756254?\n\"Answer: 3431*q**3 + 421*q**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -7 - 3 - (35 + 7 + 10)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 5b70be?\nAnswer: -5b70c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172749 - 64725 = 7*j. List the prime factors of j.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, 5 in decreasing order.\nAnswer: 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*i + 70, -4*m = 4*i - 3*i - 59. Suppose 22 = -3*o - 5*a + 57, -13 = -o - a. Suppose -5*n + 2*n + o = 0. Solve m = -n*k - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = 0, 322*j = 325*j + 2*g - 197520. What are the prime factors of j?\nAnswer: 2, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 5*t + 9. Let f(b) = -3*b + 5. Suppose -21 = 3*w - 2*z - 24, 34 = 2*w + 4*z. Determine w*f(y) - 3*d(y).\nAnswer: -3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8803 + 88147\/10. Calculate the common denominator of p and 450\/48 - (3 - 2)\/(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1849 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/20 + i**3\/3 + 37*i**2\/2 + 629*i. Give r(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 6\/11, 0.09, 877, 1\/3, -2\/9?\nAnswer: 877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*q + p, -3*q + 2*p + 49 - 26 = 0. Let r(y) = 7*y - 3. Let o be r(4). Suppose 0*k + o = 5*k. Solve w + i - 1 = -i, -q*i = -k*w - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 402643?\nAnswer: 402632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 7*m - 5. Let g = 37 + -13. Suppose 3*s + 3*c = g, 2*s - c + 5 = 4*c. What is the units digit of w(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-1*-4 + sqrt(70) - 1*sqrt(70)*-1)\/(((-5*sqrt(90) + sqrt(90))*4)\/sqrt(9)) + 5.\nAnswer: -3*sqrt(7)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2 - 2 + 5 + 0. Let n(g) = -g**2 - 5*g + 12. Let r(q) = -6*h(q) + n(q). Let f be r(-6). What is the nearest to 2\/7 in -2\/11, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ribbzbzqbrrbibbbiqr?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + 10*d**4 + d**4 - 3 - 3*d**4 + 5 - d to the form i + r*d**4 + k*d + m*d**2 + a*d**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let j(w) = w. Suppose 0 = -5*b + 20, -19 = -7*n + 2*n - b. What is n*u(i) - 2*j(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-24)*53\/(901\/(-612))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2161 divided by 191.\nAnswer: -2161\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 0.8, 1\/3, -0.5, 6\/5 in ascending order.\nAnswer: -0.5, 0, 1\/3, 0.4, 0.8, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - 4*t**4 + 3*t**4 + (t**3 + t**2 - t**2)*(0*t + t + 2*t) + 4*t**4 - 3*t**4 - 3*t**4.\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 539*j + 80019955 - 80019955 + 141*j**5 wrt j.\nAnswer: 2820*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82788, -82865, -82944, -83025, -83108, -83193, -83280?\nAnswer: -83369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136 - -199. Suppose 0 = 6*m - 7*m + 4. Suppose 0 = -3*z + 3*v + g, -z - m*z + 2*v = -99. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7882308.47 rounded to the nearest 1000?\nAnswer: -7882000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 0*j - 686 - 730 + 1476 = 9*j, 2*j - 28 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 3*m**2 + 1. Let g(s) = -s**2 - s. Let p(v) = -4*v**2 - 3*v. Let i(r) = 6*g(r) - 2*p(r). Determine i(q(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91989*g**2 + g*i**2 + 21*g - 8*i**2 + 476754 wrt g.\nAnswer: -183978*g + i**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578 + 717 = -37*q. Let h(u) = u**3 + 37*u**2 + 68*u - 65. Let a be h(q). Let 0 + 27\/5*l**3 - 3\/5*l**4 - 33\/5*l**2 + 12\/5*l - 3\/5*l**a = 0. Calculate l.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.42, -0.4, -0.24, -0.7, -7 in increasing order.\nAnswer: -7, -0.7, -0.4, -0.24, 0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b - 12. Give m(11).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Suppose -5 - 10 = -m*f. Solve -3*u - 5*n - 24 = 0, 5*n - 4*n - 6 = f*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqcqyccyqcqqyqqqc. What is prob of sequence cqq?\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44156179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -428.7, -234, 1.8 in decreasing order.\nAnswer: 1.8, -234, -428.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-500)\/9)\/(-5)*(-78381)\/17418\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 less than -214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -45) + -37 - (0 + (-4 - -8) - 43)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-18) + 930\/18414\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164141 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: Let p(a) be the second derivative of -a**5\/20 - 11*a**4\/2 + 31*a**2\/2 - 263*a. Differentiate p(n) with respect to n.\nAnswer: -3*n**2 - 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22*(-8)\/(-12)*3. Let o be q\/55 + (-62)\/40. Which is smaller: 1\/6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -1. Let m = o - -0.1. Let r = 0.5 + m. What is the second smallest value in r, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*t + 2 + 2*t - 3*t - t - t - 1 + 1 + (-2*t - 5 + 5)*(-2 + 0 + 3) - 2*t + 0*t + 3*t - t + 1 - 1 + 10*t + 5 - 5 as r*t + y and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58694183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r = -41*r + 28. Suppose 4*x - 6914 = -2*s, 6*x = r*x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 2663353?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32929, 46266, 59603, 72940, 86277, 99614?\n\"Answer: 13337*z + 19592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-43 - -2) + (-6)\/2. Let q = c + 50. Suppose q*u - 324 = 4*u. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d - 5. Let n(h) = -4*h - 6. Let s(m) = -3*c(m) + 2*n(m). Suppose 5*t + 16 - 1 = 0. Let k be s(t). Solve -f - 3 = -k*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21700 and 11129.\nAnswer: 7790300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*n + 2341 + 6565. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192450493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17884, -37636, -57388, -77140, -96892, -116644?\nAnswer: -136396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q + 342 = -54*q + 23*q + 852 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*540\/36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3084 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + 1 + (1 - (17 + -8)) - 4) + -28?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 25050480965*i - 25050480965*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = 3*u + 13*j - 8*j, 5*u = -2*j - 318. What is the least common multiple of 5 and (-170)\/(-4)*u\/(-40)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 6849*m - 61752. Calculate b(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604818805.\nAnswer: 5, 101, 311, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 2)*(4*j - 10*j - j)*(0 - 10 + 3)*(3 - 4 - 1)*(-2 + 1 - 1) to the form m*j + p and give m.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1019 - 997 = 11*u. Let r be 1 + 57\/(0 - 3). Let s be (-3)\/6 - r\/4. Solve -u*c = l - 7*c - 20, -16 = -s*l + 4*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of ((-38)\/(7 - 58424\/8344))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101101100101110100000000100?\nAnswer: -101101100101110100000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d, 6*f + 4*d - 24 = 3*f. What is the common denominator of 7 and f + -1 - 118\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*g + 8 - 7)*(1 - 3 + 11).\nAnswer: 27*g + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/18 and -32\/1281.\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + (-3*sqrt(325)*6 - (-4*sqrt(325) + 1 + sqrt(325) - sqrt(325))).\nAnswer: -70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, -7 in decreasing order.\nAnswer: 2, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -228 not equal to -221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 393, 377, 345, 291, 209, 93, -63?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/(u*u*u*u**(-2)*u))**(-1\/2)*(u**(-2\/3)\/u)**(-13)*u**(-3)*u**5 assuming u is positive.\nAnswer: u**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - d = -25, 2*d = 4*h + d - 24. Let x be 1\/(-12) + (-472)\/96. Sort h, -3, x, 1.\nAnswer: x, -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457891403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2713773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (8 - 5) - 0 - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194279 a multiple of 681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 422740960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**2 - 10*k.\nAnswer: -5*k*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -2*g - 6*j + 256, -3*g + j + 394 = 0. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1231 = -3. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0*g**4 - g + 0*g**3 + 0 + 3\/2*g**2 + 0*g**5 + 2\/15*g**6. What is the derivative of y(v) wrt v?\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r - 20 = 0. Let q be 16\/10 + 2\/r. Let a be (-1)\/(3\/36*q). Let h(l) = l**3 + 6*l**2 - l + 3. Give h(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4980\/78 - (-6)\/39) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:14 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/39 (b) 23.6 (c) 0.1 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 145 = 280 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31c0c6 - -4?\nAnswer: -31c0c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0.4 (c) 1 (d) -2\/11 (e) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttfiyufytf. What is prob of sequence ttu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -255.375 - 0.625. Let j = -5181091.0107 + 5181347. Let w = a + j. Round w to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52312 (base 6) to base 8\nAnswer: -15564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {b: 1, t: 4, a: 1, w: 3, d: 6}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d + 6. Let t = 6 - 3. Let o(q) = 224*q - 449. Let i be o(2). Sort d, i, t, 1 in decreasing order.\nAnswer: t, 1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3430 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -143. Suppose -512 - f = -5*i. Suppose p = 5*l - 0*p - i, -5*p = -15. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*378\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, -3, -4, 2 in decreasing order.\nAnswer: 15, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201621470 and 1220?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 41*v**2 + 2*v + 2192. Let g(i) = 27*i**2. Determine f(g(z)).\nAnswer: 2214*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 86. Suppose 3*d - 2*r = 4, 2*d + 5*r = 4*r + v. Suppose -y - 2*j = d*j - 62, 0 = -3*j + 9. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -3\/7 (c) 2\/11 (d) 3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/12, -2\/13, -2\/3, -7, 2\/103?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 5, -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4145 and 330.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 271361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**2 + 16*h + 11. Let m(l) = 11*l**2 - 25*l - 17. Let v(r) = 5*m(r) + 8*o(r). Let n be 29\/(-9) - 2\/(-9). Let k be v(n). Is k at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*((-6106)\/(-213))\/43)\/((-28)\/6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 712349\/15 at most as big as 47491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -12221404?\nAnswer: 12221350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -1\/3*q**3 + 5*q + 0*q**2 + 0. Let m(x) = -3*x**2 + 0*x + 0*x. Determine m(o(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -90, -141, -202, -279, -378, -505?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/25 - 4*o**4\/3 + 10*o**3 + 729*o**2. What is r in u(r) = 0?\nAnswer: -15, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2030122138 rounded to four decimal places?\nAnswer: -1.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0 - -5) + 3 + (36 - -41).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5aef4 (base 16) to base 9.\nAnswer: -626833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005008712 to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*3\/2*60\/(-45). Let i(l) = l**2 + 2*l - 42. Let z be i(k). Solve -m = 3*d - z, 2*m + m + 24 = 5*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -693 by 119.\nAnswer: -99\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79, 283, 633, 1135, 1795, 2619?\n\"Answer: c**3 + 67*c**2 - 4*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.1 + 29. Let g = l - -1.1. Let i = g + 5. Put i, 3\/5, 1 in ascending order.\nAnswer: 3\/5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6510471 millilitres to litres.\nAnswer: 0.0006510471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3823 (base 11) to base 15.\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5111 and 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111007.2497 - -110973. Let d = b - -34.3. Let n = 0.05 - d. What is n rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47243 and 1955?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -165e (base 15) to base 11\nAnswer: -3687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*n - 554 - 987 - 595 + 160 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/((l*(l**1\/l)\/l*l)\/l))))**(-32)*(l**0*l*l)**22 assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k - 22*k + i + 99, 3*k = -2*i + 62. Solve -4*x - x = -k, 4*d - 3*x + 16 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/3 and -89\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r**2 - 11*r**2 - 9*r**2 - 8*r**2 - 13*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -476, -693, -892, -1067, -1212?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3199325408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59, -55, -47, -35, -19, 1, 25?\n\"Answer: 2*c**2 - 2*c - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 45 = 5*r + 4*d, -r + 10 = -3*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -673.4 - -673. Let d = 142 - 140. Which is the nearest to 1? (a) -0.53 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 3:31 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 + 334.7136. What is i rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -1) + -123 + 124 + 17.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7667 and 1375878.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (19 + -11 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11786, -23569, -35350, -47129, -58906, -70681?\n\"Answer: h**2 - 11786*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 33 = s - 2*j, 0 = 5*j + 25. Calculate the highest common divisor of s and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.291724107 rounded to five decimal places?\nAnswer: 0.29172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Let v(p) = -p**3 - 5*p**2 - 4*p - 1. Let q be v(-3). Let k be -1*(-1 - (q - -4)). Is k at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfuf when four letters picked without replacement from ffzzzzzzzzuffzfzzzu?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161 - 296. Let s = -35 - i. Calculate the remainder when s is divided by 50.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/(t*t**(1\/22)))\/(t**13*t\/(t**(2\/19)*t)) assuming t is positive.\nAnswer: t**(-2483\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40829817401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 + (-9)\/(-6). Let y = 21\/46 - -1\/23. What is j in 5\/4*j**2 + y + k*j = 0?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iia when three letters picked without replacement from {a: 4, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 328795657?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 10. Let s be q(6). Solve -6*h = -s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*a + 20*a**2 - 8*a**2 + 84*a + 93*a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13695 = -20*t + 245. List the prime factors of t.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6909709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b + 110 - 210 - 28*b + 6*b**3 + 49*b + 115.\nAnswer: 6*b**3 - b + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20385, 20449, 20555, 20703, 20893, 21125, 21399?\n\"Answer: 21*w**2 + w + 20363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35060251 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -774897*n - 4649398. Calculate u(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2970.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let f = g + 0. Suppose 5976*c - 5935*c - 41 = 0. What is the nearest to c in -1, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 11840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 287375953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 28164 = 4*p. Suppose 1412 = 7*s - p. What are the prime factors of s?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/(2\/(-30)). Let a(l) = -l - l**2 + 4*l - 2 + 3*l. List the prime factors of a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 equal to -176\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2 - 1536*j + 75790 = 0.\nAnswer: 53, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*3 - (0 + -5). Find the second derivative of -5*x**v - 2*x - 5*x**2 + 51 - 51 wrt x.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209.1 + -219. Let u = o - -4. What is u rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9210 and 870.\nAnswer: 267090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:41 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3586\/9 + -398. What is the second smallest value in h, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 6:51 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-875)\/(-75) - 13)\/(8\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1207 divide 46130113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:12 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 + 108*f**2 - 228*f + 116 = 0. What is f?\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363220 and 50380?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2643000 rounded to the nearest 10000?\nAnswer: -2640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1177641569 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 41830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29500912 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 714 and 29342?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let b(f) be the second derivative of 31*f**3\/3 + 110*f + 2. What is b(x(c))?\nAnswer: -124*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -41410?\nAnswer: 41431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**4\/6 + 14*y**3\/9 - 14*y**2\/3 + 16*y\/3 - 18. Factor n(w).\nAnswer: -2*(w - 4)*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (-1)\/1 + 6\/(-6). Let n(f) = -8166*f**2 - 14*f + 60. Let v be n(m). Round v to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 54\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 5*a + a)*((4*a**2 - a**2 - a**2)*(-5*a**2 - 3*a + 3*a) - 166*a**3 - 13*a**4 + 166*a**3).\nAnswer: -69*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 104*o**2 + 2*o + 21. Let s(u) = 4*u**2 - 7. What is z(s(k))?\nAnswer: 1664*k**4 - 5816*k**2 + 5103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*h + 238581 = -94*h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from znzgzjynnnj?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -10577*u - 200918. Suppose 0 = -4*j, -2*j - 160 = -4*i - 0*i. What is the least common multiple of x(-19) and i?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 14*c**4 + 1030*c**3 + 23510*c**2 + 166890*c - 75924 = 0.\nAnswer: -37, -19, -18, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3655089 rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2202071470 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216415*y + 216359*y + 1645 = 469 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:53 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/3*606\/8 and 9\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 3*h - 16. Suppose -2*t + 2 = -6. Find z, given that -2*z**t - 16*z**2 - 7*z**3 + 8*z + 17*z**3 + 0*z**h = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1943 + v**3 - 1342 + 29*v**2 - 601.\nAnswer: v**3 + 29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -6*p**2 + 6*p - 1. Let u = -5 + 11. Let r(m) = 1. Let f(o) = u*r(o) - a(o). Let j(l) = -2*l**2. Calculate f(j(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119553355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -20) + (25\/1)\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11680, -46710, -105092, -186826, -291912, -420350, -572140?\nAnswer: -747282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, p: 3, d: 1, n: 1, e: 2, y: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 9 = 5*s, -2*s + 4 + 26 = -5*v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 35\/87 (c) -0.2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 - 3*q - 5. Let i be n(4). Let a = 46 - i. Suppose 9*o - a = 4*o. Solve 0 = o*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*-14 + -2. Suppose 3*v = o*v + 132. What are the prime factors of (0 + 66\/(-9))\/(4\/v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 28 + 33)*(4*k - 2*k + 0*k + 3*k + 0*k - 2*k + (-1 - 1 + 4)*(-k + 3*k - 4*k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 2*q + 2. Let f(v) = 3*v**2 + 7*v + 7. Let u(m) = -14*b(m) + 4*f(m). Let z(g) be the first derivative of g**3 - 4. Determine z(u(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 285, 564, 843?\n\"Answer: 279*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -89*r**2 + 314*r + 28. What is t(4)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 - l**3 + 1 - 6*l**2 + 17*l**3 + 9*l**3 - 25*l**3 + 7*l**4 in the form v*l**4 + m*l + o*l**2 + a*l**3 + j and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -167, -337, -613, -1019, -1579, -2317, -3257?\nAnswer: -4423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -4, 135\/2, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4 - y**2 + 2*y**3 + 4051*y - 4099*y in the form o*y**3 + g*y**2 + d*y + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000021121 (base 3) to base 16.\nAnswer: -9a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89175165.85609 - -15?\nAnswer: 89175180.85609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14946 (base 11) to base 2.\nAnswer: -101001001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.87 + -7.83. Let a = g - -58. Round a to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 4*d**2 + 3*d - 2. Suppose -4*o + 0*c = 5*c - 33, -5*c + 31 = 3*o. Let h be v(o). Solve -h*f + 3 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4729.\nAnswer: 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d. Suppose d = -f + 5*f + 4*u - 68, -5*u + 59 = 3*f. Suppose 5*w - f = 22. What is the remainder when 19 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 486636\/7580 - (-36)\/(-5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 - 18*u**2 + 47*u + 286. Give v(-8).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -0.99, 7, 5?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2109)\/(-4884)*-22)\/((-3)\/(-6))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 183553824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-11 - 344\/(-38)))*21 - 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5528382 by 8166.\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43198570 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*n = -1156, 2*c - 700 = -c - 2*n. Suppose -c = -4*z - l, l = -5*z - 4*l + 275. Suppose -180 = z*k - 61*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + 2*u - 2. Let p be n(-2). Suppose 3*o = o + p. Suppose -o = -x + 6. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2114*k - 234090. Calculate l(-111).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide (23\/(920\/992))\/((-2)\/(-1850))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3584.081 weeks?\nAnswer: 2167652188800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 5*w - 3*w)*(4*w + w - 3*w)*(-7 + 1 - 12) + 0*w**2 - w**2 - 3*w**2 + (-2*w - 3*w + 4*w)*(2*w + 2 - 2) to l*w**2 + k + v*w and give l.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 47*j - 216. Determine i(41).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + 4. Let p be 2\/5 - 6\/m. What is the nearest to p in -1\/3, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {h: 1, z: 2, r: 1, o: 1, y: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*1*(-3 - -1). Suppose -3*z - 5 = -5*r - 1, 0 = -3*r - 2*z + b. Suppose 0 = -n + 2*n - r, 2*n + 41 = 5*s. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 - 6*k + 5. Let m be l(1). Sort -4, m, 3 in decreasing order.\nAnswer: m, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 703.959121 - -0.070879. Let r = u + -707. Let d = 0.03 - r. What is the closest to -1 in d, -5\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s - 16. Let q be h(-3). Let i be 1\/q + ((-5)\/(-2))\/1. Let p(w) = w**2 + 3*w - 13. Let d be p(i). Solve -m = 5*z - 15, z - 17 = d*m + 3*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/9 and -64\/205?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -131\/5. Which is the fourth smallest value? (a) -62 (b) 1\/3 (c) s (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p. Let j(d) = 2*d - 3. Let s be j(-3). Let m = -6 - s. Let h(i) = 0*i - m*i + 4*i. Calculate h(c(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 52 = 4*u, -9*q - 5*u - 15 = -6*q. Sort q, -4, 15 in descending order.\nAnswer: 15, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15978079319 + -4.\nAnswer: -15978079323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 276f?\nAnswer: 2768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 16*b**2. Let y(f) = 12*f + 12. Let d(a) = 23*a + 22. Let h = 321 - 327. Let q(t) = h*d(t) + 11*y(t). Calculate x(q(i)).\nAnswer: 576*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75238 and 1802.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 7503024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, f: 1, b: 1, o: 1}. Give prob of picking 1 o and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1118 and 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -3 + (-3*sqrt(432)*-1 - (sqrt(432) + -4 + (sqrt(432)*1)**2 + sqrt(432) - sqrt(432)))).\nAnswer: -48*sqrt(3) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9051385.\nAnswer: 5, 7, 258611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 679866 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**17\/f**16)\/((f*f**15)\/(f\/((f**(-11\/6)*f)\/f))) assuming f is positive.\nAnswer: f**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 549 + -1648\/3. Let o = -3.9 + 4.07. Which is greater: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356382329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11791.837231 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1127675689 from 0.63.\nAnswer: 1127675689.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, r: 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: Is 153 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/((-1)\/2). Let s = 7 - w. Let q(v) = v**3 - 15*v**2 - 15*v - 2. Calculate the remainder when q(16) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.14 - 1.86. Let c be ((5 - 1)\/(-4))\/(-1). What is the nearest to 1\/3 in w, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 15*t**2 + 14*t + 93. Determine a(-6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0 + 1\/21*p**3 - 5\/84*p**4 + 0*p**2 + 85*p - 1\/70*p**5 + 1\/42*p**6. Let m(v) = 0. What is v?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14591210 is divided by 1028.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 28*t**2 + 305*t - 7415. What is k(27)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = 0, -3*o - 4*f = -22 + 266. Let q = o + 0. What is q rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, x: 6, d: 1, s: 1, f: 1}. Give prob of sequence xjdf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 times -0.1?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*h - 2*t, 29*t = -3*h - 35 + 37 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 13. Let q be p(9). Let j(f) = -11*f + 4. What is the units digit of j(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8)*2\/(-5) - 451\/(-82)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 8, w: 5, d: 4}. What is prob of picking 1 w and 1 z?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9974711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + g + 1)*(g**3 - 3*g**3 + g**3) + (4 + 2*g**3 - 4)*((4 - 5 - 1)*(-g + 4*g - g) - 3*g - 2*g + 3*g + 5*g - 3*g - g).\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 21*f**2 + 31*f - 69. Let g(h) = h**3 + 4*h**2 - 21*h - 23. Let t be g(-7). Is 56 a factor of n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.196 - -7978.\nAnswer: 7978.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 9. Let q be (834\/(-18))\/(2 - g). Let j = 46 - q. Which is the closest to -0.1? (a) 4\/9 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -113, 475, 0.4, 11 in ascending order.\nAnswer: -113, -3, 0.4, 11, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:56 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 66*o**3 - 5*o**2 + 214*o - 213. Calculate v(1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -57. Let t = n + -14. Calculate the smallest common multiple of t and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2. Let l(m) = -2*m**2 + 2*m + 8*m**2 - 16*m. Let z(b) = -b**2 + 3*b. Let w(n) = -3*l(n) - 14*z(n). Give -2*a(h) - 3*w(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-90)*-12*25\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.14, -77913?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - s - 5*s - 9*s + 4*s - s + (4*s + 2 - 2)*(-4 + 6 + 0) - s - s - 3*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18251 - -31012. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 1770*l**2 + 208860*l - 8215160.\nAnswer: 5*(l - 118)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1*-2)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 2 (c) 1\/4 (d) 0.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 11*v + 496 = 0. Suppose -2*c + v = 3*x, 2*c + 0*c = -4*x + 328. What is the greatest common divisor of 32 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129)\/((-13545)\/210)*1\/((-1)\/9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phkg when four letters picked without replacement from {p: 4, k: 2, h: 1, g: 9}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 8*v - 42. Calculate the smallest common multiple of v and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 9:19 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 371.4 + -369.4. Sort 0.07, o, -2\/15, -21 in ascending order.\nAnswer: -21, -2\/15, 0.07, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135731, -135743, -135755?\nAnswer: -135767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100002201021 (base 3) to base 12.\nAnswer: 17b36ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 1. Let t(o) = o**2 - o - 2. What is 3*f(c) - t(c)?\nAnswer: -4*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/61 - -273\/244. Suppose 0 = 8*f + 7 - 15. Is u greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 1. Let r(d) = 3*d**3 - 4*d**2 - 8*d - 11. Let y(w) = r(w) - 4*u(w). Let i be y(-4). Calculate the greatest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 1228*a = -1229*a + 4, 0 = -4*c + 3*a + 38 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + x**4 + x**3 - x - 2*x**4 + x**3 to s*x**4 + u*x**2 + r*x**3 + t*x + w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6089 is divided by 674.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25243698 is divided by 518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -1606, 19 in decreasing order.\nAnswer: 19, 15, 2, -1606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 470818 less than 470818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-39 + 31 - (0 - 2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**(2\/39)*(b*b**9*b*b)\/(b*b*b**(-4\/3)))**(-48) assuming b is positive.\nAnswer: b**(-7008\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 0.617524922.\nAnswer: 1.117524922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven tenths of a hour?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12836040 divided by -2940\nAnswer: 4366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(2\/(-12)). Let x = -13 + 33. Suppose x = 2*b + v*b. Let f(k) = k**3 - 6*k**2 + 4*k - 2. What is f(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 19. Let g = -5 - j. Suppose -f = 3*f - g. Solve 4*z = -5*p - 30, -f*z - 6 = -3*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (1 + -5 + 0)) + -1. Let q be r*55 - -1*(-3 + 2). Calculate the highest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 13*g**3\/3 - 4*g**2 - g + 1. Suppose 8*r - 18*r + 83 = 113. Is 20 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (869 - 15)*(-3)\/(3\/(-10)). Suppose 4*m + 2848 = z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10323349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1290 and -29\/270.\nAnswer: 11610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 2 - (-950)\/2. Suppose 0 = 3*l - 119 - r. Calculate the greatest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*t - 0*t. Suppose 2*l - 5*o = -0*l + 14, -5*l + t = -4*o. Let w be 15\/(-35) - (-31)\/l. What is the greatest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 6.8. Let q = -14 + 10. Sort q, k, -3 in increasing order.\nAnswer: q, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24930 + -24924. Calculate the remainder when 25 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 14*v**2 + 13*v + 20. Let r be l(15). Let p be (-4)\/r - 58863\/245. Let y = -239 - p. What is the third biggest value in -0.5, 1\/2, -5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1. Let q(c) be the first derivative of 25*c**2\/2 - 25*c + 29. What is -25*i(p) + q(p)?\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 9380.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 351*a. Let p(s) = -26*s**2. Calculate r(p(g)).\nAnswer: -9126*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 336355*r + 3 + 336332*r + r**2.\nAnswer: r**2 - 23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + 0.33. Let m = 0.4 - l. Let b be -1 - 3*1\/(-5). Is m at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255 + -246. Is l smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 + 45*c**3 - 43*c**3 - 25*c**5 + (2*c**4 - c**4 + 2*c**4)*(61 - 61 - c) + (3*c - 3*c - c**3)*(-3*c**2 + c**2 + c**2) + 3*c**5 + c**5 - 2*c**5.\nAnswer: -22*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 - -1)*2\/6 and (-882)\/56*2\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 2*q + 8 + 7 + q**2 + 7 to the form s*q + z + v*q**2 and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*x = -62, 5*f + 2*x = f + 136. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, s: 3, q: 6}. What is prob of picking 1 u and 2 s?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1986 and 14?\nAnswer: 13902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570232 > 2570231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {f: 2, b: 4, v: 2, q: 1, i: 4, x: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -66*(-9)\/(-6)*-1. Suppose -4*q + m + 1 = 0. Calculate the remainder when (7\/(-4))\/((-8)\/224) is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 4*h - 4*v - 27, 3*h = v + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 250 + -8 + 1 + -4. Suppose -2*p = 5*z - 127, 4*p - o = -0*p + 5*z. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 + g. Let k be v(-4). Let u = 115 - 205. What are the prime factors of (4\/(-6))\/(k\/u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = -l. Let k(s) = 2*s**2 - s**3 - 14*s + 23*s - 10 + 0 - 6*s. Let u be k(-3). Solve 5*p + 3*i - i - u = 0, l*p + 3*i = 21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2017661 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5\/5 + 6*o**3\/5 - 3*o\/5.\nAnswer: -3*o*(o - 1)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -8. Solve 2*x + o = 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -777 (base 12) to base 9.\nAnswer: -1451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**2 - 2\/9*m**3 + 1\/135*m**6 + 3*m + 14 + 1\/15*m**5 + 4\/27*m**4. Factor a(c).\nAnswer: 2*(c - 1)*(c + 1)*(c + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139 less than 4139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12241*l**2 + 32600 wrt l.\nAnswer: 24482*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -264.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**2\/2 + 2*f + 8. What is the first derivative of c(y) wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 24*o - 16. Let c be j(7). Suppose -2 = -4*y + 2. Put c, y, 2 in descending order.\nAnswer: c, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1825, 7288, 16401, 29170, 45601?\n\"Answer: a**3 + 1819*a**2 - a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19254435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (10 + (10 - 26))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 953, 2337, 3721, 5105, 6489?\n\"Answer: 1384*p - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-153)\/(-102) - 35\/10. Put 48, d, -5, 2, 3 in decreasing order.\nAnswer: 48, 3, 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let v(b) = 17 + 10 - 11*b - 4*b + 23*b + 4*b**2 - 2*b. Let i(q) = 2*q - 1. Let o(z) = -3*i(z) + v(z). Give o(y(d)).\nAnswer: 16*d**4 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/3, 0.1, 2, -2, 7\/25?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -14. What is the remainder when 4\/(-3)*d\/4 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -406*v**3 + 1 - 399*v**3 - 403*v**3 + 7*v**2 + 7*v + 1209*v**3. What is l(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -850*t - 641. Is s(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - p + 2 = 3*p, 0 = -4*k + p + 13. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*j = -15102, -3*m - 2*j = -6*m + 22653. List the prime factors of m.\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7814 + -2764. Let d = r + -2573. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 985352.8 days?\nAnswer: 85134481920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/z**(4\/5)*z*z)**(-13\/2))**(4\/7))**9 assuming z is positive.\nAnswer: z**(-702\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*(1 + 0 + sqrt(1700) + 1) + (3*-2*sqrt(1700) - (sqrt(1700) + (-2 + sqrt(1700))*-4 - sqrt(1700)))))**2.\nAnswer: 17280*sqrt(17) + 553104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166 + 40. Let p = 226 + a. Suppose 0 = -5*f + o + 205, -2*f = -f - 3*o - 55. Calculate the highest common factor of p and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16863 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 251*d**7\/42 - d**4\/12 - 37*d**3\/3 - 677*d. Find the third derivative of v(m) wrt m.\nAnswer: 15060*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -134 - (-104 + -25) - 105?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/(516\/(-72)))\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 6942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c. Let g(s) = c*s + 2*s**2 - s**2 + 2*s. Calculate g(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -516 + 1118. Suppose -101*s + 94*s + a = 0. Is s a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let j(t) = 149*t. Give f(j(m)).\nAnswer: -149*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1. Let i(d) be the third derivative of -29*d**4\/24 - d**3 + 5*d**2 + d - 22. Give i(b) - 5*v(b).\nAnswer: -29*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -13*a + 4*a. Suppose 4*r - 8*r + a = 0. Suppose 5*o - b = -5, o + 4*b + 1 = 21. Solve 0*y + r*y = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 1. Let u(p) = -2*p**3 + 2. Suppose -3*a = -0*a - 18. Suppose -130*m - 56 = -126*m. Determine a*u(g) + m*t(g).\nAnswer: 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-2 + 4 + 5*sqrt(432)*-1 - ((-4 + -1*sqrt(432))*-1 + 3))**2.\nAnswer: 576*sqrt(3) + 27657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 14*t**2 - 7*t - 13. Let a be n(5). Suppose a*v - 555*v + 99 = 0. Solve -v*y + 32*y = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13457 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -3*l**5\/100 - l**4\/10 + l**3\/10 + 3*l**2\/5 - 11*l. Factor a(t).\nAnswer: -3*(t - 1)*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2427750 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*x = 162*x + 252 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7843 - 7843. Solve v = 19*n - 12*n + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -383447, -767051, -1150655, -1534259?\n\"Answer: -383604*u + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(3*k**2 - k**2 - k**2)*(-3 + 5 + 0)*(16 + 20 - 72) in the form j*k + w + g*k**2 and give g.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9498789683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 i, and 1 f when four letters picked without replacement from {r: 2, b: 1, e: 4, i: 1, l: 2, f: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -9)*(-2)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 847152 and 93906?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 256992 (base 12) to base 16\nAnswer: 95afe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4086 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1660\/1348329 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*j**2 + 42*j**4 - 18*j**2 + 130*j**4)*(48 - 29 + 27) as q*j + w*j**4 + b*j**3 + a*j**2 + o and give w.\nAnswer: 7912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 2088.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 615*v + 4410. Let t(w) = -15*w - 107. Let b(l) = 4*r(l) + 165*t(l). Let n(q) = q**2. Determine b(n(p)).\nAnswer: -15*p**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 0*p + 0*p + 3*p. Suppose 2 = q - 13. Let c(d) = -q - 2*d**2 + 15. Determine b(c(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71117, 71125, 71133?\nAnswer: 71141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 2*a + 15, -3*y - 4*a = 298 - 265 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m + 5*k = 22145, -8888 = -2*m + 4*k. Suppose -m = -13*c + 9138. Round c to the nearest ten.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334555.48*-0.1.\nAnswer: 33455.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.5. What is the nearest to 0.1 in 5, d, -5\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -1385?\nAnswer: 1385.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 20 = -5*f. Let m(a) = -13*a + 4. Let s be m(-4). Suppose s = -0*j + 4*j. Calculate the remainder when j is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 508560.9 hours?\nAnswer: 1830819240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 9 - 12)*(-o + 0 + 0*o - 1) - 4 - 2*o + 4 in the form v + m*o and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -14 + 76*s**3 + 21 - 15 + 0*s + 14*s**2 - 2*s. Let y be z(6). What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 5*q + 12. Let o be b(-4). Suppose -5*v + o + 30 = 0. Calculate the lowest common multiple of 23 and v.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -110, -106, -102, -98?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 498.7482ml in litres?\nAnswer: 0.4987482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250488 divided by 1176?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-198)\/(-24)). Let x = -7 - -9. Let t = -1 + x. Which is the second biggest value? (a) -1\/4 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 17 = -147. Suppose 60 = 8*b + 4. Calculate the remainder when x is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(0*b**2 + 3*b**2 + b**2) + (b + 0 + 0)*(3*b - 3*b + b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 3960 = -38*a. Calculate the remainder when a is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 15*c - 22 = 0. Let j be (-559)\/c - (-11)\/(968\/16). Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 3*o**2 + o. Let f be z(-3). Find the common denominator of ((-34)\/5)\/(2\/(-2)) and -14*-26*f\/24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*l - 35 + 8, 11 = g + 5*l. Is (-1)\/g + 16235\/30 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 47.29285ug?\nAnswer: 0.00000000004729285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:41 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/3262 and 19\/2275.\nAnswer: 1060150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 99 = -8*o. Calculate the remainder when (-2572)\/(-32) + 27\/(-72) is divided by (2 + o)*(-8)\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.12 + 157.12. Let j = t + -159. What is the second smallest value in -0.3, j, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.84 - 25.84. Let a = -41 + 41.15. Let m = a + -0.45. What is the second smallest value in z, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -18.1. Let y be ((-1)\/(9\/(-6)))\/4. What is the biggest value in y, z, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8714.361 decades in years?\nAnswer: 87143.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.770304mm?\nAnswer: 0.000003770304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -9. Let i = 5 + t. Solve -5*p = -j + 11 - 30, j + i = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -17.096. Let c = 8595593.90399897 - 8595594. Let r = u + c. Round r to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188796756?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**5\/5 + w**3 - 17*w - 47. What is the first derivative of f(d) wrt d?\nAnswer: -4*d**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Suppose 0 = -i*q - q. Suppose q*l = -l + 3*z + 30, -l - 4*z + 23 = 0. What is the highest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496573 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1158.6 * 0.009\nAnswer: 10.4274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(18 - 450\/20).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:01 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 + 16*y - 46. Calculate v(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (5*((sqrt(17) - sqrt(51)\/(sqrt(12)\/sqrt(4))) + (1 + sqrt(17) + 4 - sqrt(17))))**2.\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-10) - (-16)\/40. Let p be (d\/(-25))\/((-6)\/(-10)). What is the second smallest value in -0.3, p, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-3))\/((-2)\/3). Suppose 5*c = j + 21, c - 9 = -j + 6*j. Let z = 3 - 2. Sort j, g, z in ascending order.\nAnswer: g, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -18, -2, -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1976*v + 1874*v = -13092 + 2382 for v.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*a**3*m**3 + 56*a**3*m + 22233*a**3 wrt m.\nAnswer: 21*a**3*m**2 + 56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*u = 382, -d + u + 13 = -176. Suppose d = -7*w + 12*w. Suppose 0 = -4*o + 2*y + 120, -w = o - 2*o - 3*y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(114) + 1*(sqrt(114) + -1*sqrt(114)))\/(2*sqrt(864) + sqrt(864)))**2.\nAnswer: 19\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 17*o**2 + 20*o + 1. Let n be k(18). Let v = -45 + n. Let m(c) = c**3 + 7*c**2 - 8*c - 4. What is m(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38*((-8)\/(-4))\/4. Calculate the greatest common divisor of 38 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -52. Let o be 10 - (y - (8 - 5)). Solve -4*v = -p + 4*p + 5, 3*v + 3*p + o = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 13. Let o = 36 - 22. Let c = o + -19. Let d be v(c). Sort d, -3, 1.\nAnswer: -3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*i + 16 = 2*v, 0 = -3*v + 3*i + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160782763?\nAnswer: 61, 2635783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-37)\/(-7) - (-20)\/(-70). Suppose 0 = -4*i - f*t + 46 + 179, 4*t - 288 = -5*i. Suppose 0 = -3*a + i + 111. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -24. Let o(f) = f**2 + 3*f + 6. What is the least common multiple of 12 and o(d)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 12*y**2 + 2*y - 12. Calculate o(-5).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Solve -j = f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*o**3*y + 196*o**3 wrt y?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 963190 to the nearest 1000.\nAnswer: 963000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 7*a - 1. Suppose -5*d - 30 = -4*s, -9 = 3*s - 5*d - 34. Is n(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**4 - 5*x**2 + 5*x - 19. Let w(p) = 6*p**4 - 8*p**2 + 8*p - 29. Let v(h) = 8*u(h) - 5*w(h). Find the first derivative of v(y) wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 times 0.07?\nAnswer: 14.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0232612388+-3156\nAnswer: -3155.9767387612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 2, -3\/4, -11\/3, -74\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5893831929, -5893831927, -5893831923, -5893831917, -5893831909, -5893831899, -5893831887?\nAnswer: -5893831873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1526223 divided by -16411\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -30*m**2 - 5. Let h(j) = -j**2 - 9*j + 3. Let u(o) = -4*o**2 - 33*o + 11. Let s(n) = 11*h(n) - 3*u(n). Determine s(r(b)).\nAnswer: 900*b**4 + 300*b**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.948 - 28. Let v = -0.152 - t. Which is the fourth biggest value? (a) 4 (b) v (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57636*g**3 + 57630*g**3 + 57374*g**3 - 172272*g**3.\nAnswer: 368*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -u - 2 + 15, 5*u = -10. Suppose -c*q + 28 = -12. Solve 2 - q = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -3*(-11)\/3. Let d be o - 9 - (1 + 3). Let h(j) = -4*j + 4. Let l(t) = -t**2 - 5*t + 5. Determine d*l(a) + 5*h(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1517526ml in litres?\nAnswer: 0.0001517526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30212420 (base 5) to base 15\nAnswer: 4b8c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2442? (a) -9 (b) 0.02 (c) -3 (d) 0 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-20)*(8\/(-6))\/((-34)\/255).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*c - 802*c = -407*c - 152 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/4, -5, -1\/35, 21, -3\/28?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 2*g - 9. Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 2\/5 (c) 7 (d) 1\/4 (e) -0.063 (f) 3\/5 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - (2 + 1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191\/14 + 97\/7. Calculate the common denominator of k and 109\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 135*u + 200. Let y be i(-66). Solve -5 = y*c - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 1661, -0.3, 2\/5, 4\/7, -8?\nAnswer: 1661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174 + -52. List the prime factors of a.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15598.97 to the nearest one hundred.\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*f + 59*f - 46. Let x = f + 55. Suppose -3*s + 6*s + 4*q - 98 = 0, 0 = -3*s + q + 73. What is the remainder when s is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.266 - 0.106. Let m = z + 0.94. What is m rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihhi when four letters picked without replacement from iihhhihihhhh?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 378 in -2, -5, -1, 2046?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -110. Let x = -31 + a. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)*0\/2. Let c(q) = z*q**2 - 8*q + q - q**2 - 4. Is c(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*s = 10, 5 = s + 3. Solve 25*b - g = 24*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:53 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*r + 11 = 3*r, -2*o - 18 = 2*r. Let c be o\/3 + (-80)\/30. List the prime factors of (c - -4)\/4 - -154.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -595*k + 7511. Determine s(11).\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.104 (b) -6 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*g**3 + 27*g**3 - 491725 + 491725.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1573 + -62606492057\nAnswer: -62606492057.1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-107)\/(-2675))\/((-1)\/(-25))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a**3 - 16*a**2 + 17*a - 10. Let m(z) = 3*z**3 - 5*z**2 + 5*z - 4. What is -2*c(p) + 7*m(p)?\nAnswer: p**3 - 3*p**2 + p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 844 - 454. Does 26 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -101100010?\nAnswer: -101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/(126\/(-30)))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 1\/2, 5, -236 in descending order.\nAnswer: 5, 3, 1\/2, -2, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53937463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*b + 2 = 0, 117 - 119 = -3*q - 2*b. Calculate the lowest common multiple of 14174 and q.\nAnswer: 14174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1062.484 kilometers?\nAnswer: 1062484000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/387 and -71\/387?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2664)\/(-2442))\/((-45)\/(-11))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4\/5, 1\/3, 1\/10 in increasing order.\nAnswer: -13, -4\/5, 1\/10, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let u(q) = 8*q**2 + 5*q - 5. Let p be 2\/(-2) + 3 - -3. Let i(w) = -39*w**2 - 24*w + 24. Let o(j) = p*i(j) + 24*u(j). Give o(y(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*b = -3, -1800*r - 9 = -1797*r - 2*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 983, 984, 985, 986?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5244 + -33405?\nAnswer: -24121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 252 = 4*c, 36 = -5*c + 2*u + 351. Suppose 68*v = c*v - 35. Let b(j) = -j**2 - 5*j + 11. Let f be b(-7). Does v = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - 97*o - 3270. Calculate z(-26).\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(15\/(-360)). Suppose -c*l = -7*l - 20. Suppose 31 = 3*o + 4*n, 2*n + 2*n = l. What is the least common multiple of 33 and o?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70182013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634671135?\nAnswer: 3, 5, 7, 569, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -992 - -991. Let d(q) = -6*q + 3. Let y = 5 + -2. Let h(u) = -2*u + u - 2 + y. Determine z*d(v) + 4*h(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/81 (b) 10 (c) -399\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 759 + -762. What is the nearest to 1.5 in 3\/7, 12, 0.4, r?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722737*n**3 + 366052*n**3 + 356727*n**3.\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 0*o + 2*o + (-5 - 1 + 4)*(-2*o + o + 3*o) + (-3*o + 0*o + 5*o)*(4 - 2 - 1).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4752 and 43472.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9888 and 60?\nAnswer: 49440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4*v**2 + 199*p**4*v + 45*p**3*v - 2*p**2*v**2 - 8*p**2*v - 896*v wrt p.\nAnswer: -48*p*v**2 + 4776*p*v + 270*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, a: 7, l: 5}. Give prob of picking 1 d and 3 a.\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 5*k**2 + 7*k - 14. Let p(d) = -d**2 + d. Let b(w) = 5*p(w) - q(w). Suppose 0 = 2*l - 3 - 3, 2*s - 9 = -3*l. Is 14 a factor of b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4977\/(-2)*(19 - 590\/30)?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2228277000 rounded to the nearest 1000000?\nAnswer: -2228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -2*v + 7, -3*v - 4 = 3*r + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021101.9 minus -43.3?\nAnswer: 2021145.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02738139 to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = 3*t. Let c(v) = v**3 - v**2 - v + 2. Let g be c(t). Suppose 0 = -5*u - g*r - 20, 15 = 5*u + 2*r - 5*r. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 635311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 25023151*c - 25023151*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrh when three letters picked without replacement from ccrhrchr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - 3*h**5 + h**5 + (-3*h**4 - 2*h**4 + 4*h**4)*(-h + 3*h + 0*h).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(6)\/sqrt(3)) - 2*sqrt(6655))\/((sqrt(275)*2 - sqrt(275))*-2))**2.\nAnswer: 441\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2 + 7*i - i**3 + 5 - 2*i - 1. Suppose -2*v = -u + 5, -2*v + 4*u + 45 = -7*v. Calculate s(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 710656*m**3 - 6*m - 93078164?\nAnswer: 2131968*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27610657 divided by -27610657?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 193567853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 33*c - 9. Let q(a) = -33*a + 7. Calculate 4*h(p) + 5*q(p).\nAnswer: -33*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 0.8, -0.11, 26, 0.1.\nAnswer: -0.11, 0, 0.1, 0.8, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 6.7. Let z = -1364 + 1359. What is the second smallest value in 0.4, -2\/7, v, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 139520 and -0.2.\nAnswer: 139519.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40203 is divided by 13356?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-99 + 4) - (1 + -7)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 7)*523\/3. Suppose 0*a = 3*n + a - r, 0 = -n + 4*a + 183. Suppose 0 = -m + 6*m - 125. Calculate the highest common factor of n and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15989 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -6*t + 5*s - 7, 5*t + 692*s = 691*s + 33 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247963887 to the power of 1\/4, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48\/(-10)*(-80)\/6 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42393 - 42394.7007. Let u = 13 - 11.3. Let z = m + u. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + j = 1, 0*j = 4*x - j + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*n - 180*n + 4699 = -313*n - 21141 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59893100 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24854 and 1061?\nAnswer: -26370094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12337*d + 14489*d = -148488 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9 + 133 - 2*v + 2*v + 101 - 4*v. What is the lowest common multiple of 63 and n(45)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 16*w**2 - 1206*w - 118. Give x(76).\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22598058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6010, -12103, -18196, -24289?\nAnswer: -30382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(1 + 2 + -4). Suppose 2*t - 2*d = x + 25, -82 = -4*t - d. Let a = t + -12. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9311 = 108*u - 7537. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 49889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g*g**(-1\/13))\/g*g)\/g)*g*g*g)\/g**(-5)*(g\/(g\/(g*g\/(g\/g**(6\/5))*g)))\/(g*g**12) assuming g is positive.\nAnswer: g**(-47\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 9. Suppose -4*w = w. Let t be s(w). Is t smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - -a1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 25*p + 30.\nAnswer: -5*(p - 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -27dc?\nAnswer: -27d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 4739664*c + 18958648.\nAnswer: (c - 9479324)*(c - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 311*h**2 - 14091*h - 2820. Give o(-256).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -34*a**3 - 2685*a**2 + 80*a + 61. Calculate v(-79).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5522269 + 5522269 - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 17265160?\nAnswer: -17265160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g + 3. Let a(h) = -h**2 + 13*h + 7. Let r(y) = -4*a(y) + 9*b(y). Let i be r(1). Suppose 0 = i*q - 34 + 19. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 326*o - 332*o. Solve o*t - 22*t - 20 = n, -2*n + 5*t - 20 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c*c**(14\/3))*c*c\/c**(-1\/9) assuming c is positive.\nAnswer: c**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*w - 48*w - 703*w in the form n + s*w and give s.\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1772 or -1548?\nAnswer: -1772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -262, -361, -456, -547, -634, -717?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327880 divided by 163940.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406729 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105.7 + 106. What is the fourth biggest value in i, 4, -2\/11, 5\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - (-11)\/4. Let s be 1\/2 + 3\/(-6). Let x = p - s. What is the highest common divisor of 9 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 104, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 13, 4, -6, 9, -2.\nAnswer: -6, -2, 4, 9, 13, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/89))\/(x*x\/(x\/(x\/x**(15\/8)*x))*x) assuming x is positive.\nAnswer: x**(-817\/712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 i when three letters picked without replacement from {p: 9, e: 2, k: 1, i: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -878 (base 10) to base 5\nAnswer: -12003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39682*t*x + 80571*x with respect to t.\nAnswer: -39682*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2004, 2025, 2078, 2181, 2352?\nAnswer: 2609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 70542063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8*56\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75033 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + 5. Let n(a) = -17*a + 28*a - 11*a - a**2 + 2. Give -5*n(i) + 2*w(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 130645.557 rounded to the nearest one hundred?\nAnswer: 130600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -24*g**2 + 21 - 3*g**2 + 293*g**3 + 59*g - 294*g**3. Determine v(-29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - (-20 + 11) - -14.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2901, 11453, 25621, 45399, 70781, 101761?\nAnswer: 138333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(405)*-1.\nAnswer: -9*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q + 246. Let p = q - 1135\/9. Let n = 6 - 6.1. Which is the nearest to 0? (a) 0 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 137\/3*l**3 + 0*l**2 + 26*l**5 + 0*l - 14 + 0*l**4. Find the third derivative of b(g) wrt g.\nAnswer: 3120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 12 + u - 5*u.\nAnswer: -4*u - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 1417, 2122, 2809, 3472?\nAnswer: 4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1977, -1959, -1937, -1911, -1881, -1847, -1809?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, f: 2, v: 1, p: 2, q: 1, g: 1}. Give prob of sequence wgfw.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10457409.517495222178 - 4.482399777822. Let h = -10457390 - x. Let g = 24 - h. What is g rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 22 = -4*d - 2, 2*d = -10. Let z be 26\/4 + 3\/(-6). Suppose z = 5*h - 2*h. Solve -b = 2*v - h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37493664353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.07861 + 9505846768\nAnswer: 9505846768.07861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 - 141211552*v + 2492587802281088 = 0.\nAnswer: 35302888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (4 + (-4 - 1) - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (0 + sqrt(2) + -2)) + 0 + sqrt(8))**2 + sqrt(18)\/(sqrt(108)\/sqrt(108)) + 1.\nAnswer: 13 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9b86a (base 12) to base 14\nAnswer: -55562","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 46*k**2 + 12*k**2 + 2*k - 12*k**3 + 19*k**2 + 4*k**4 + 15*k**2 in the form j*k**2 + g*k + b*k**4 + f + v*k**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 5:20 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d\/(d*(d*d**4\/d)\/d))))*d**5*d**2\/d**(-2\/11))\/((d\/d**(2\/5))\/d*d\/(d*d**(-2)\/d*d)*d)**4 assuming d is positive.\nAnswer: d**(43\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 11, -0.1, 0.07, 1, 4\/9 in decreasing order.\nAnswer: 11, 1, 4\/9, 0.07, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -280383 or -1962680\/7?\nAnswer: -1962680\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -69. Calculate the remainder when 11 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183522691*t**3*w - 138*t**2*w - 213454*t**2 wrt t?\nAnswer: -1101136146*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o. Let l(a) = 6*a + 18. Let c(u) = -l(u) - 4*z(u). Suppose -60 = 5*y - 5*d, 17*d - 20*d = 5*y + 44. Let h be c(y). Solve h = 3*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2 - 10*w = 0 for w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 - 7*b**4 + 3*b**4 + (5*b**2 - 4*b**2 - 4*b**2)*(5*b**2 - 3*b**2 + 0*b**2).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (0 + -3 + 2 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021197851 to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 10094.\nAnswer: 2\/5047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.7166343 + 367.2834403. Let d = j + -376. What is d rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 439 and 439 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i + 7*i + 0 + 1. Let y be d(2). Let m(r) be the second derivative of -r**3\/2 - 5*r**2\/2 + r. Let v(l) = -2*l - 3. What is y*v(f) - 3*m(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*d + 6 = 0, -5*f - 7*d + 27 = -4*d. Suppose f*i + w - 63 = 369, 5*w + 15 = 0. List the prime factors of i.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -2)*(1 - 1). Suppose -4*t = -5*o - t, f = -5*o - 5*t. Suppose 4*r + 786 = -2*b, o*b = -3*b - 4*r - 1177. Round b to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3249 and -109\/78.\nAnswer: 84474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - p - 41, -3*t + 0*t - 3*p = -39. Calculate the remainder when 106 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 - 1.1. Let g = -6 + 1. Which is the closest to -1\/2? (a) g (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 1, k: 1, q: 1, o: 1}. Give prob of picking 1 u and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) -49.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {q: 5, t: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*v + 108 = 0. Let c be 4\/10 - (-12)\/(-5). Let p = v + c. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l + 36*l = -15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156330 and 1171510?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*o - o = -22, 3*f = -o + 5. Let p be (-6)\/4*(-4)\/2. Suppose p*q = -q. Solve q = -f*n - n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5389590 rounded to the nearest ten thousand?\nAnswer: -5390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 40. Suppose -p*c + 15 = 0, 5*w - c = 4*c + 10. Suppose 0 = -4*f + 1 + w. Calculate the remainder when 9 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24086?\nAnswer: 2, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227227771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 + h + 1. Let s be z(-2). Suppose -i - s + 25 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -62. Let h = x + -12. Let f(l) = l**2 + 25*l + 36. Is f(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 102*d - 498. Let y be t(5). Let b(s) be the second derivative of 0 + 0*s**2 + 1\/2*s**3 + y*s - 1\/4*s**4. What is the second derivative of b(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12614 + -12606. Let q(s) = 3*s**2 - 9*s. What is q(o)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605296.\nAnswer: 2, 37831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 8:45 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Suppose 0 = 2*z - 5*z. Solve x*u - 2 + z = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*h + 75322 + 6022 = 377*h + 189*h for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -13, -19, -27?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -26*999\/(-1755)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.39 - 1.5. Let j = w + 3.11. Sort -1\/8, j, 0.\nAnswer: -1\/8, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -580980000 to the nearest one million.\nAnswer: -581000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 5312*p - 5312*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2600 and 1901250?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - -1.99. Which is the biggest value? (a) 3 (b) 1\/4 (c) -0.8 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1) + (38 - 24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + f**2 - 11*f + 1. Let z be n(3). Let o be 40\/7 - (z\/(-7))\/2. Solve -o*g + 9*g = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + f**2 - 1. Let t be z(-1). Let k be ((-2)\/(-2))\/(6\/(-16)). Let x = t + k. Which is smaller: x or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.118, -1\/2, 2\/13, -0.2 in increasing order.\nAnswer: -1\/2, -0.2, -0.118, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 382 - 380. Solve 3*o + 2*h = -0 - 17, 5*o + 23 = s*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(2 + -5 - 36). Let j = o - -56. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmsmkggkmk. What is prob of sequence ksmk?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 74\/33, 119\/16, 2 in decreasing order.\nAnswer: 119\/16, 74\/33, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14772772 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**2 - 10. Let j(o) = -3*o**2 - 2. What is -a(u) + 6*j(u)?\nAnswer: -27*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 1\/3 (c) -0.8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n + 3, 2*h = -3*n + 25. Let d(f) = f**2 - 8*f + 2. Let u be d(8). Suppose 3*p = 3*c + 516, 4*p - h*c = u*p + 353. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3\/9 + 3290*p**2\/9 + 2198*p\/3 - 1098 = 0.\nAnswer: -3, 1, 1647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2400, 4797, 7194?\nAnswer: 9591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 430\/8 - (-1)\/4. Let h = 0 + z. What is the greatest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 39*r = 34*r - 5, 4*r = 2*j - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 91?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38520\/1605*2*(-2)\/(-1248)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175152 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 7) to base 2\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*l**4 - 460\/3*l - 1384\/9*l**3 - 2762\/9*l**2.\nAnswer: -2*l*(l + 1)**2*(l + 690)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342792 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 68\/9*x**2 + 14*x - 2\/3*x**3 + 52\/9 = 0. What is x?\nAnswer: -1, -2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-12))\/((-6)\/(-27)). Solve 4*d + 4*y - 8 = 0, -o*d + y = 2 - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.919212 micrometers to nanometers.\nAnswer: 919.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99222?\nAnswer: 2, 3, 23, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1881*c + 3820*c - 1914*c.\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -884 - -1350. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*i + 37740, 2*q + 0*i = -5*i + 18864. Let o = q + -16900. Let b = o + 44675\/6. Find the common denominator of 7\/6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 50?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from wldiossi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 8:46 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 - 140. Suppose a*p + 17 = 30. Solve p = 2*u - u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 6043 = -4184. What is the remainder when l is divided by ((-3)\/9)\/((-5)\/645)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/5892 and -58\/36007485?\nAnswer: 144029940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19417247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Let f be 494\/14 + 12\/(-42). Let k be ((-42)\/f)\/((-4)\/5). Which is the closest to -2? (a) -3 (b) k (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*c**2 + 60\/13*c + 608\/13.\nAnswer: -2*(c - 38)*(c + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 662 and 7282.\nAnswer: 7282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004431 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 9. Let p be f(-6). Suppose 3*l + 5*v - 9 = 0, 0 = 4*l + 3*v - 1. Let z = l - p. Calculate the remainder when 11 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443270522 - 0.1?\nAnswer: 443270521.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -46370979?\nAnswer: -46370979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 115.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -16. Suppose 4*j - c*u - 52 = u, -5*j - 3*u = -33. Solve j + 1 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Suppose m + 3*k + 18 = y*m, -30 = -5*m - k. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-69)\/((-253)\/(-11))*13?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13.62? (a) -3\/4 (b) 3\/7 (c) 0.1 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000265471008 to seven decimal places.\nAnswer: -0.0002655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 + -5. Is -2\/73 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.2478 - -0.2478. Let j = -2.091 - -31.821. Let t = j + k. What is t rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*k + 6. Suppose -k*v + v = -4. Let o(x) = 80*x**3 - x**2 + x - 1. Is o(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1487262 * -6\nAnswer: -8923572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 993?\nAnswer: 993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9476954ng to tonnes.\nAnswer: 0.0000000000000009476954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 304 = 4*y, -4*o = 17*y - 12*y + 305. Suppose 0*v + 5*u + 32 = 3*v, u = -2*v + 4. Let b = v - o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 8*s + 4. Let x(t) = 2*t**2 - 17*t + 9. Let l(n) = 9*c(n) - 4*x(n). List the prime factors of l(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-15 + -9) - 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faa when three letters picked without replacement from aafqv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33552 and 10296.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a1e35 (base 15) to base 2.\nAnswer: 1101100010110001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 7*p**2 + 7*p. Let s(x) = -x**2 + x. Suppose 2*k + 9 = 5*k. What is k*o(l) - 21*s(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (45\/(-625))\/((-2)\/149) - 5 and -43\/30.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500523 is divided by 702.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 23*u - 12 + 20.\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - 4*sqrt(1815))\/(-2*sqrt(33)\/sqrt(11))*-1.\nAnswer: -43*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k**3 - 952*k**2\/3 - 556*k\/3 + 144 = 0. What is k?\nAnswer: -1, 4\/9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -517\/2 - -258. Let m = -4\/29 + -38\/145. What is the smallest value in 0, m, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 11 + 25 + (-8 + 3 - -66).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (1023161 - (1 - -3)). Suppose -7293160 = -3*k - d. Round k to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 16 - 28 - 2*y)*(2 - 5 + 1)*(2*y - 3*y + 6*y) to the form c + z*y**2 + w*y and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 14*w + 6 - 4*w + 10. Let l(v) = -v**3 - 4*v**2 + v - 18. Let p be l(-5). Let y(m) = -2*m - 3. Calculate p*x(z) + 11*y(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:35 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuru when four letters picked without replacement from {u: 2, r: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 42*k**2 + 55*k - 510. Let w be s(43). Solve 3*h + 3*d = d + w, 4*h = d - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618*0.0056.\nAnswer: 3.4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336 - 8*s - 650 + 314.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32301934?\nAnswer: 2, 7, 2307281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 9*n**2 + 11*n + 4. Suppose 11 = -l + 4. Let t be s(l). Calculate the greatest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11357*v + 3. Let x be r(-1). Suppose -44*o = -46*o + x. What is o rounded to the nearest 100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (146 - 167) + (-1 - -16)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.732 less than 10637553?\nAnswer: 10637553.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -653, 9622, 19897, 30172, 40447?\n\"Answer: 10275*n - 10928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f + 40. Suppose -5*w = y + 14, -5*w + 35 = 5*y - w. Let p be a(y). What is the highest common factor of p and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 29 = -4*f, -31 = -4*j + 5*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/22624 and 131\/9696.\nAnswer: 67872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(7\/4)*l**6*l**(-2\/19)\/l**(2\/7) assuming l is positive.\nAnswer: l**(4447\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 14137200 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -999.7, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3*(44730\/84)\/(-355).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*(-1806)\/516.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 36*x + 102 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 448.92 - 449. Sort -0.4, g, -0.5, 1.3 in descending order.\nAnswer: 1.3, g, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + -4*(-2 + sqrt(704)*2)))**2 + 2.\nAnswer: -41472*sqrt(11) + 1624934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-8))\/((2772\/11)\/7).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**1\/k)*k**(-7))\/(k\/k**(-2\/7)*k*k*k*k**3*k))**33 assuming k is positive.\nAnswer: k**(-3300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10846 is divided by 138?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 less than -15816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1718\/3 - 573. Which is the nearest to -43? (a) -4 (b) m (c) 0.5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:24 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -23587\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -5.2.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - a - 3*a = 48, -2*m + 16 = -4*a. Suppose -4*t + 32 = -5*v, 4*t - 2*v - m = 2*t. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:19 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 9*t - 16. Let z be t\/10 + (-142)\/10*1. Is 17 a factor of 3 + (-3 - (z + -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50702164.\nAnswer: 2, 107, 118463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -261?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -6*j + 345. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -1 - ((5 - 2) + -5). Let s be -73*1\/(b\/(-57)). Suppose 5*k - 5*u + 710 = 2445, 4*k - 3*u = s. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, -61, -187, -383, -661, -1033, -1511, -2107?\n\"Answer: -2*k**3 - 17*k**2 - 3*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*z**2 - 7*z - 6 wrt z?\nAnswer: 16*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3040945006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7.9 + 119014\nAnswer: 119021.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + 370\/30 - 2\/6. Let p = -91\/6 + 775\/51. Do p and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 57. Let a be 35*n*16\/(-20). Let w = a + 20. Let u(y) = y. Let r(t) = 6*t + 2. What is w*u(k) + r(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -426484*l. Let w(p) = 104*p. Determine y(w(a)).\nAnswer: -44354336*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x + 50. Let r be w(14). Suppose -46*l + 41*l + r = 0. Solve l - 8 = -4*o + a, -2*a + 2 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.5 (c) -59.8 (d) -1.127 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.98083892 to three decimal places.\nAnswer: -9.981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3682*n*s**2*w*x - 2*n*s*w**2*x + 6*n*w*x - 102*n*x - 9*s**2*w**3 + 27*s**2*w*x + 13*s*w**3*x + 2*s*w**3 - 5*s*x wrt s.\nAnswer: -7364*n*w*x - 18*w**3 + 54*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -67*s**3 - 95*s**2 - 484*s + 3. Let x(k) = 17*k**3 + 24*k**2 + 120*k - 1. Let o(c) = 3*q(c) + 11*x(c). What is the second derivative of o(f) wrt f?\nAnswer: -84*f - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/(-20) - 1\/2. What is the biggest value in g, 4, 1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(2\/(-12))\/(3\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2\/5 + 51*o\/5 + 198\/5 = 0. What is o?\nAnswer: -11, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3466918.\nAnswer: 2, 7, 13, 43, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (72\/28)\/((-225494)\/(-4340) + -52)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4057, -16236, -36535, -64954, -101493?\n\"Answer: -4060*h**2 + h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/4, -0.5, -0.4, -5, -0.008?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 63269 (base 10) to base 15\nAnswer: 13b2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 16107 = 5*g - 16122. Calculate the lowest common multiple of 1324 and g.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495, -1299, -2611, -4431, -6759, -9595?\nAnswer: -12939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -882, -0.2, 54.\nAnswer: -882, -0.2, 8, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -15 + -11 - -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11022 and 706926?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - f**2 + 1. Let r(l) = -7*l**3 + 224*l**2 - 8. Let m(g) = -r(g) - 8*x(g). Suppose m(c) = 0. Calculate c.\nAnswer: -216, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2909*w - 7871*w = 114126 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 14. What is the lowest common multiple of g and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 7.3. Let f = -1.5 + 3.8. Let w = j + f. Sort w, 2, -3 in descending order.\nAnswer: 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1520?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 > -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4059*c**2*u - 2*c**2 - 587*c + 26*u + 660289 wrt c?\nAnswer: -8118*c*u - 4*c - 587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 77 + 250 - 29 = 0. Solve 0 = -4*t + 2*n + d, 12*n = 5*t + 11*n - 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z - z + 16*z as i*z + v and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -3 (b) 0.28 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 (base 16) in base 15?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 7*j**2 - 10*j + 2. Calculate g(3).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:59 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -2\/2909, -17, -4 in increasing order.\nAnswer: -17, -4, -1.9, -2\/2909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2606 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1319 - -11711. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -8. Suppose -2*g + 2*k - 10 = 0, 18 = -4*g - 0*g + q*k. List the prime factors of (-6 - g)\/((-1)\/(-15)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 470*r**2 - 348.\nAnswer: 940*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)\/g)**(-46\/7)\/(g**2\/g**(-1)) assuming g is positive.\nAnswer: g**(83\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**3\/3 + 1586. Let i(d) = 5473*d. Calculate f(i(u)).\nAnswer: -29953729*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -85*z**3 - 3*z**2 + 2*z + 6. Suppose 2*v = 5*k - 4, 0*v + 3*k + 20 = -2*v. Let c be a(v). Round c to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) - (-1 + sqrt(972) + -1)) + sqrt(972))**2.\nAnswer: 72*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 22 = -z + 4*o, -3*z + 5 = -o. Let f = -152 + 162. Suppose 0 = -z*n - f + 28. Calculate the least common multiple of 1 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228955 is divided by 640?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 - 188.3. Put k, 0, -0.1 in increasing order.\nAnswer: k, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21013709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001 + -1000111111010110011110?\nAnswer: -1000111111010111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulbf when four letters picked without replacement from kueukbuukuefblu?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55318371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 735\/180 - (270\/40 + -6)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*q + 51 = -50, 2 = q. What is the remainder when p is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5966\/615 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1364*g = -1360*g - 9728. Is 76 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + u = 796, -5*y + 1710 = 3*u - 2266. Suppose -28 - 162 = d - 5*f, 0 = -4*d + 3*f - y. Let b = -14 - d. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/20 + -1 + -2)*4 + 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = -6*d + 37*d. Let k(h) = 2*h + 6. Let y = 3 - 3. Let r be k(y). What is the greatest common divisor of r and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/((6\/21)\/(3\/21))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from {y: 5, w: 3, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 14 - 2, 2*w - 3*g = -2. What is the remainder when 18 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 10:24 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 2*s**2 - s**2)*(-10*s + 8 - 12*s + 20*s).\nAnswer: -2*s**3 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5314962 + 5\nAnswer: 5314967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2248188 (base 9) to base 10\nAnswer: -1213217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -230.1, -5, -332?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 128*u**2 - 3. Let n = -56 + 59. Suppose 0 = 2*x - d - 5, -n*x = -2*x + 4*d + 2. Is y(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*h + 4 + 3, j = 2*h - 3. Let l(w) = 3*w**2 + 1 - 7*w**2 + 4*w**2 + w**2. Calculate l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4005 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107978274 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose 0 = -3*x - 5*t - 9, -q*x + 3*t + 13 = -x. Suppose 4*a - f = 56, 5*a - 57 = -x*f - 0*f. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000129406 to 7 decimal places.\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2. Let c(u) = -4986861*u**2. Calculate c(n(l)).\nAnswer: -19947444*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r - 2*r - 103*r - 86*r - 2*r + (2 - 6 + 2)*(4*r + 0*r - r) - 5*r + 3*r + 4*r)*((-r**3 + 2*r - 2*r)*(0*r - 3*r + 5*r) - r**4 + r**4 - r**4).\nAnswer: 588*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 3*w = 78, 8*q - 4*w = 10*q + w - 34 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -553c0 (base 13) in base 8?\nAnswer: -455525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.42916 months to years.\nAnswer: 1.20243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 171, 349, 529, 711?\n\"Answer: j**2 + 175*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 12\/7 - (-46)\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(17)*3.\nAnswer: -6*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460130?\nAnswer: 2, 5, 11, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205710 is divided by 7086.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*m**2 - 169?\nAnswer: 148*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(24)\/(-2*sqrt(192)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 71*w**2 + 3*w + 1. Is b(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 0*i**3 + 6\/5*i**5 + 0*i**4 - 9 - 3\/2*i**2 + 0*i. What is the second derivative of z(u) wrt u?\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-104) + (-5)\/(-12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240337, 480697, 721083, 961507, 1201981, 1442517, 1683127?\nAnswer: 1923823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -45\/88 (b) -0.1 (c) 14.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*j = -9, 0 = 3*o - 5*j - 0 + 16. Solve o = -4*y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - 76*f**2 - 6*f**2 - 2 + 6*f**3 + 4*f**2 + 25*f**2 to v*f + g*f**2 + n + x*f**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)*u\/((u\/(u*u*u**(1\/5)))\/u)*u*u)\/(u**(-3)*u*u*(u*u*u\/u**(1\/7)*u)\/u) assuming u is positive.\nAnswer: u**(316\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1608041362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 50*u**2 - 112*u - 373. What is the remainder when 388 is divided by w(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 169149 + 21?\nAnswer: 16916a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/4)\/((-2)\/1). Solve 3*c - 5*d + 1 = -6, -3*c = n*d + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 26. Let m be (-1)\/((-24)\/j - 1). Solve -5*w + m = 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526424432 a multiple of 944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)*k*k\/k**(-1\/5))\/(k**(-2\/7)*k*k)**49)**(-41) assuming k is positive.\nAnswer: k**(116973\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1876437 is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 136*l**2 + 47*l + 224. Let y be u(-5). Suppose 2*c - m = y, 5*m = 2*c + 9*m - 3374. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**10\/q*q*q**(-17)*q assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1672*c**2 + 81*c - 81*c + 1503*c**2 + 496*c**2.\nAnswer: 3671*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 960 and 16278.\nAnswer: 2604480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 11917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1\/4))**(27\/2)*i*((i\/(i*i**(8\/7)\/i))\/i*i)\/i*i**(-7))**(-3\/8))**32 assuming i is positive.\nAnswer: i**(-501\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {n: 1, m: 2, w: 4, v: 5, y: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18357 + 775 = 4*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445, -296, -147, 2, 151, 300?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d - 14*d**4 - 11*d + 9 + 4*d + 18*d**2 - 13 + 5 as i*d + f*d**3 + y*d**2 + s + n*d**4 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a week?\nAnswer: 32256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgzttgdlq. Give prob of sequence zq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -334207.2.\nAnswer: -1671036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0 (b) -0.4 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 4. Suppose 0 = 2*n - n - 7. Let z be r(n). Suppose -5*d - 2 = -z*d - 3*k, -5*k = -20. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3011 - -1908. Let l be 1\/(-4 + 3) + d. Let n = l - -7747\/7. Find the common denominator of -43\/8 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x - 48 = 3*r, 0 = 3*x - 5*r + 88. Let a be (-3)\/1*96\/x. Find the second derivative of 15 - 15 - 9*t**5 - a*t wrt t.\nAnswer: -180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181445 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + (-2 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d + 5*d + 5342*d**2 + 8696 - 5341*d**2)*(-3*d**2 - 1 + d**2 + d**2) in the form r*d**4 + z + y*d + h*d**2 + i*d**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(7)) - (sqrt(35)\/sqrt(5)*3)**2) + sqrt(56)\/(sqrt(648) + sqrt(648)*3 + sqrt(648)).\nAnswer: -61 - 89*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/2*(-2)\/(-8). Let i be (-4)\/((-5*n)\/5). Suppose -i = -3*r - 5. Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 547*r + 976*r + 327*r**3 + 2*r - 73929*r**2 - 1 + 73925*r**2 + 0 wrt r?\nAnswer: 1962*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1236*b - 605*b - 629*b. Let u(s) = -2*s**2 - s**2 + 2*s**2. Calculate w(u(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1502290 to the nearest 10000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 69438 = 196725. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105279661967574 - 105279707474551.0000295. Let l = 45506987 + x. Let k = -10 + l. What is k rounded to six decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 15, -3\/232, 3, -0.2 in descending order.\nAnswer: 15, 4, 3, -3\/232, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*x + 8 = -8, -5*x = -3*n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4973*f - 4973*f - 52*f**3)*(-2 - 2*f**2 + 2 + (-f - 1 + 1)*(f + f + 0*f)).\nAnswer: 208*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1.6 (b) 0.3 (c) 2\/19 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from lrqql.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-35 + (-23 - -37))) + (0 - 0) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**6\/30 - v**5\/20 + v**4\/12 + v**3\/6 - 11*v. Let p(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + m + 136, -3*m - 93 + 25 = -2*h. Suppose -h = 3*u - 10. Let i = 19 + u. Solve -1 - i = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aluauiplaiiv. Give prob of picking 2 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/8 - 195\/(-20). Suppose 0 = -w*g - 5 + 113. What is the highest common divisor of 192 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -m - 2*n, 30 = 3*m - 2*n. Let b be ((-6)\/m)\/(2\/(-92)). Suppose 0 = 2*o - b + 9. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*v + 71 = -v, -3*q + 51 = -v. Let k(o) = 10*o - 4. What is the remainder when k(5) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 67 = 4*f + f, -y + 49 = 3*f. Let l be (-6)\/(-15) + 24\/f. Suppose -20 = l*u - 104. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265864.238 rounded to the nearest one hundred?\nAnswer: 265900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18 = -0*r - 2*r, 2*i - 2*r = 6. Let x be 1 + (-7 - -4) + i. Suppose 2*g = 3*a + 89, 2*g + 2*a - 94 = x*a. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580.924615 rounded to the nearest 10?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 188 = -13*c. Calculate the remainder when (-4 + (-77)\/(-14))*280\/3 is divided by c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 498648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*v = -0*f - 30, -4*f = -v + 57. Let b be (-48)\/8*(-1)\/2. Sort f, -2, b in descending order.\nAnswer: b, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*o - 704, 4*p - 4*o + 176 = 5*p. Suppose -22287 = -p*u + 159*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*r**2 - 108*r**2 + 7*r**3)*(-2*r**2 + 4*r**2 + 0*r**2) + (-4*r**3 + 3*r**4 + 4*r**3)*(3 - 2*r - 3) + 3*r**5 + 2*r**5 - 3*r**5.\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*z**3 - 1396*z**2 - 3491*z - 22*z**3 - 1550*z - 276*z**2 - 315*z**2 wrt z.\nAnswer: 12*z - 3974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -6. Calculate the remainder when 19 + 2 + (-8)\/4 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1185 and -8526.\nAnswer: 10103310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 6. Let z be g(4). Let h = -6 - z. What is the nearest to 1 in 1\/10, -3\/4, h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/133362 and -95\/12.\nAnswer: 266724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.9 - -0.9. Let p = -2 - n. Put p, 0.1, 1 in decreasing order.\nAnswer: p, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14510 + -8346. What are the prime factors of t?\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/(2\/(-5)). Solve -y*x = -x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krrk when four letters picked without replacement from rkrkr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30161505281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17839 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1920140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 321\/24 - 9\/24. Is 13 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1177? (a) 3.9 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2201 - -22?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/((-6)\/25) - 3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 40, 47, 46, 31, -4, -65?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s**2. Let h(o) = 5*o + 8. Let v(y) = -68*y - 102. Suppose -c = -3*n + 5, 38*n - 20 = -2*c + 34*n. Let q(g) = c*v(g) + 51*h(g). Give q(r(w)).\nAnswer: 119*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 11 = -u - 4, -2*u = 5*l + 19. Put -4, 3, l in decreasing order.\nAnswer: 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40905 divided by 15\nAnswer: 2727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 71.08456 days?\nAnswer: 6141705984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 535.03 + 13.65. Round p to the nearest integer.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-204)\/16 - -2) + 2\/(-8). Is u smaller than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 175, 517, 1027, 1705, 2551?\n\"Answer: 84*s**2 - 78*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25 = -2*h, 3*h + 3*x = 1 + 5. Calculate the highest common factor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111139890 divided by 145.\nAnswer: -766482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-92)\/12 + (-2)\/(-3). Let c(a) = -112*a. Let x be c(d). Suppose 212 = -4*r + x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479532397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**2 - 13*q**2 + 1 - q**3 + 9*q + 26*q**2. Let g be o(4). What is the third derivative of -6*k**6 - 16*k**2 - 11*k**5 + 11*k**g + 5*k**6 wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151998 and 104622?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29923 is divided by 908.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Suppose 0 = k - c*i - 20, -k - 2*k + 21 = -2*i. Solve 0 = k*d - d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-4258.\nAnswer: 851.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3372 = 3*o. What is the common denominator of -55\/12 and (-3)\/(-15) + o\/(-180)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u**2 + u + 4. Let m be z(-4). Suppose -2*l + m = -2192. Suppose 2*x + 3*p + p = l, -p + 2361 = 4*x. Round x to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 47. Solve 4*t - 6*t = n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6002 + -5888. Which is bigger: -12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7426 less than 7426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 619 = 2*h, 0 = -c - 3*h + 109 + 509. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12437823 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 z = 0.7194 - -0.2806. Let d(a) = -a**3 + 5*a**2 + 7*a - 6. Let o be d(6). What is the nearest to o in z, 2\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 8 + 17. What is the remainder when y is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -0.7, 149?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, q: 3}. Give prob of sequence eq.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.67? (a) 5 (b) -0.4 (c) -0.2 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 144117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -147 - -147. Suppose -s - 3*s + 12 = 0, 2*t + 2*s - 10 = m. Solve 4*q = -5*b - 4 + 6, -t*b - q + 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300, 7, 0.5, -7\/69 in ascending order.\nAnswer: -300, -7\/69, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 284434*h**2 - 28*h**5 + 50*h**3 - 284128*h**2 - 7*h - 15*h - 306*h**4 = 0. What is h?\nAnswer: -11, -1, 0, 1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p**2 + 5*p - 12. Let s = 25713 - 25710. Calculate g(s).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-5) - 12\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4382 and 38.\nAnswer: 4382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -264.03 and 0.03.\nAnswer: -7.9209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpgxllpllxpplx. What is prob of picking 2 x?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -95819, -95813, -95807, -95801, -95795?\n\"Answer: 6*r - 95825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11 - 5 - 36*q - 9*q**2 + 28*q**2 - 18*q**2. Let n be r(37). Solve -2 = -4*x + 2*k + 10, -x + 5*k = -n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*n + 6. Suppose -n*f - f = -189. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 256.678 millilitres?\nAnswer: 0.256678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 + d - 1. Let k(u) = -11*u**2 - 8*u + 2. Let x(n) = -n. Let m(p) = -k(p) + 5*x(p). Let s(g) = 2*m(g) - 5*z(g). Give s(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -0.15, -1\/8, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 12 + -50 + 19\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -35012941?\nAnswer: -35012945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8043*k - 80455. Determine h(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n - 484 = 78*n - 73*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*x + 1091, -4*q + 0*q + 892 = 4*x. Calculate the greatest common factor of 25 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 3*i**2 + 2*i - 1. Let h be n(-3). Let m = h - -21. Suppose 4*t = t + 5*b + 20, -t + 8 = -b. What is the lowest common multiple of t and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -15*t + 20*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q + 1. Let m = 22 - q. Calculate the highest common divisor of m and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18 and -472.5.\nAnswer: -454.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -142.\nAnswer: -5\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93658372.9 + -93657239.062199. Let y = -1145.8378 + l. Let m = y - -12. What is m rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z*z**(-3))*z)*z\/z**22*z*z assuming z is positive.\nAnswer: z**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 17. Let p(a) = -4*a**2. Determine p(i(t)).\nAnswer: -16*t**4 + 272*t**2 - 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - 27 - (14 + -21 - 15).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**4\/12 + 614*c**2. Let b(i) = -7*i + i + i. Determine y(b(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -363.43273 times 0.9\nAnswer: -327.089457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/(14\/56)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*o - 72, j - 3*o - 48 = -2*j. Suppose -19*p + 264 = -j*p. Let a be (p\/(-9))\/(4\/(-18)). What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -124820*g. Let o be w(-1). Let k be o\/(-130) - (-2)\/13. Round k to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/15*2\/6*-3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24594 divided by -50.\nAnswer: -12297\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 1:26 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + (0 - 708\/(-9)). Let k = -56 + o. Let i(j) = -k*j**2 + 7*j**2 + 26 - 24. Let w(f) = -f. Give w(i(p)).\nAnswer: 16*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*g**2*m + 10*g**2 - 9*g*m + 8763*m wrt g?\nAnswer: 10*g*m + 20*g - 9*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126999289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-9) - (-140)\/(-720)) + 3\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 44279 - 52706 = 0. Is 45 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**32)\/(m*m\/(m**(-12)*m)))\/(m\/(m\/(m**(-2\/53)\/m))*m*((m*m*m**(1\/15)\/m*m*m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(-36593\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -41*d**2 - 2*d. Let v(x) = -85*x**2 + 50*x + 25. Let j(h) = -7*h**2 + 4*h + 2. Let k(n) = -25*j(n) + 2*v(n). Calculate k(u(p)).\nAnswer: 8405*p**4 + 820*p**3 + 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7898142.\nAnswer: 2, 3, 7, 173, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 31*s**2\/2 + 961*s\/4.\nAnswer: s*(s + 31)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 993 and 61375675?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/6)\/(-17)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2369909\/270 - -63848\/27. Let f = 6406 + u. What is the common denominator of -63\/25 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, -0.0585, 0.4, 2\/7 in descending order.\nAnswer: 0.4, 2\/7, 0.23, -0.0585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1673 - 1659. Solve 3*m + u = -o, 4*m + 6 = 3*m - o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-51))\/(658\/72709).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (17 - 22 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30205 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00077345 rounded to 5 dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/28*0)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/32 + 3315\/(-40). Let o = 173 + t. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0)*51\/24*-4. What is the fourth biggest value in s, -2, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114e (base 16) to base 6.\nAnswer: 32302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2892*f**4*o - 2*f**4 - 49*f**3*o + 45*f**2*o - 4*f**2 - 213912 wrt f.\nAnswer: 69408*f*o - 48*f - 294*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7) + 0 + (sqrt(7) + -1)*4.\nAnswer: -4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(3 + -2)*(2 + 25\/(-10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + 0*v**4 + 0*v**4)*(2*v - v + 2*v) + (0 - 2*v + 0)*((2*v**2 + 2*v**2 - 3*v**2)*(6*v**2 - 11*v**2 - 19*v**2) + 0*v**2 + 0*v**2 - v**4).\nAnswer: 53*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27952 and 0.1.\nAnswer: 27952.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*o - 40, 3*i = 4*o + 13 + 16. Suppose -3*a + 24 = 2*u + u, u - 22 = -i*a. Let g = a + 7. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 23. Suppose 2*m + 2 = 3*v + 6, -3*v - 2 = -4*m. Calculate the remainder when u is divided by 111\/9 + m\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 76\/(-152)*(-316)\/(-2). Let q = n + 264. What are the prime factors of q?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**3 - 61670*j**2 + 347804115*j + 4663245207240 = 0?\nAnswer: -10443, 8552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 2098 + 2098.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -13*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) 2\/5 (c) -7 (d) -0.4 (e) 2 (f) -2 (g) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o**(-2))\/o)\/o)\/o)**(35\/3)\/(o**(3\/31)\/(o**(-23)*o)))**(-1\/12) assuming o is positive.\nAnswer: o**(6395\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -35 - (-37)\/((-32856)\/(-29288))?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - -9 - 48) + (0 - -4) + 1 + -38?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 80. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**6\/1440 - v**5\/480 + v**4\/48 - v**3\/6 - 2*v. Let d(a) be the second derivative of j(a). Find x such that d(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124 - 135?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 1. Let f(v) = 15*v**2 - 5*v - 2. Let d(s) = f(s) + 6*p(s). Let g be d(-3). Calculate the greatest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/4 + 1681*p\/2 - 2825761\/4 = 0. Calculate p.\nAnswer: 1681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151893195 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1) + -3 + 11. Let p(i) = i**2 - 4*i + 4. Let q be p(2). Suppose 2*o - 10 - 2 = q. Solve -2*l + 3 + o = 3*y, 0 = -2*y - l + v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**7\/3360 - 13*d**6\/1440 - 7*d**5\/60 - 5*d**4\/6 - 70*d**3\/3 - 75. Let z(x) be the third derivative of o(x). Factor z(w).\nAnswer: -(w + 4)**2*(w + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4455 + 4480. Sort 4, d, -6, -5, 3 in decreasing order.\nAnswer: d, 4, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 2. Let o be u(-8). Let l be (o\/(-12))\/(6\/(-8)). Put -1, 1, l in decreasing order.\nAnswer: l, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 4*t**2 - 2*t**2 + (-2 + 2 + t)*(-5*t + t + 3*t) + (-14*t - 3*t + 0*t)*(-t + t - 2*t) to x*t**2 + q + f*t and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 9*r - 10 + 60 = -18, 4*y = -3*r - 94 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3dc + -169cd?\nAnswer: -16dba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1144, 2304, 3476, 4666, 5880, 7124, 8404?\nAnswer: 9726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744844167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 + (-10)\/(-42)*(117 + -132)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16738901 is divided by 5579602.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/3825 and 13\/342?\nAnswer: 145350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.17, 5, -0.6338?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 11*p = -160. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(1176\/1190))\/((-205)\/(-574))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/3 - 205658*n - 1233956\/3 = 0.\nAnswer: -2, 308489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 7. Let n be j(-15). Let z = n - -55. Suppose 0 = 6*d - z*d - 459. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - y + 5589 - 2762 = 2794, -2*y + 79 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9766 + 3530. Let h = 109236 + q. What is h rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1. Let o = 2 - -1. Let v(p) = -2*p + 14. Let d(m) = o*f(m) + v(m). Let n(s) = -s + 6. Give -6*d(x) + 11*n(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58791.\nAnswer: 3, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.89 + 5.04. Let v = 2.85 + l. Is 3 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**2 - 6*u - 27. Let y(b) = 7*b**2 + 12*b + 55. Let l(j) = 9*r(j) + 4*y(j). Let d be l(9). Solve 15 = -f - d*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 22 + -7 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + (-5 - -8) + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 - (6 + -6 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 335 + -328. Let k(i) = i**3 - 7*i**2 + 7. Give k(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (76\/(-64) + 0)*-20 and 32\/21*4 - (-9)\/(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 4*l**2 + 4*l. Suppose -9 - 3 = -3*b. What is the tens digit of f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 7 - -16) + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -6, -5.82116 in decreasing order.\nAnswer: 1\/4, -5.82116, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2331*s - 12 = -2333*s. Which is the nearest to 9? (a) -5 (b) s (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103314 + 1352*b**2 + 51654 + 319*b**2 + 51660.\nAnswer: 1671*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247231825?\nAnswer: 5, 157, 62989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 2 - w**3 + 0*w - 6 - 2*w - 4*w**2. Let p be n(-4). Calculate the greatest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-2 - 0) - -2. Suppose -3*q + 2 = g - 2*g, 5*q + d = g. Let k be 4\/(-14) + (-46)\/g. Solve -a - k = 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001100010 (base 2) to base 3.\nAnswer: 21011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43429, -43457, -43513, -43603, -43733, -43909, -44137, -44423?\nAnswer: -44773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1386)\/(-110))\/(-7))\/(12\/10).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - -197. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 9*d - 8. What is w(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*s + 4*s, -4*g - 2*s = -16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p + 8*p**2 - 11*p)*(3*p**3 - 6*p**3 + p**3)*(-2 + 3 - 2).\nAnswer: 16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2392 + -2394. Sort -0.2, -517, l in descending order.\nAnswer: -0.2, l, -517","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + p**2 + p**2)*(9*p**2 - 21*p**2 - 37*p**2) to the form z + d*p**3 + o*p**4 + b*p**2 + l*p and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 4*x**2 + 6. Let u be h(-4). Solve -2*n - 2 = -u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4881 - 4866. Suppose -4*j + 288 = 4*z, 3*j - 5*j - 72 = -z. What is the remainder when z is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1045\/27 or 39?\nAnswer: 1045\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (-14 - (-39 + (11 - 1)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 + 0 = 0. Solve -d + 0*w = w - 3, 0 = -5*d - t*w + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*35\/135)\/((-40)\/360).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 5*y**4\/24 + y**3\/3 - 9*y**2. Suppose -o = 3*k + 10, -6 = -k - o + 3*o. Calculate u(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -20*o. Let u(p) = 46 - 134 + 42 + 46 - 4*p**2. Determine u(y(d)).\nAnswer: -1600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981983489?\nAnswer: 1259, 779971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 6*y. Let d(m) = m**2 - m. Let l(t) = -5*d(t) + p(t). Give l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359299 is divided by 9209?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(9) + sqrt(54)\/sqrt(6) + sqrt(9))\/sqrt(3).\nAnswer: 2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(2448) - sqrt(1275)\/sqrt(3)).\nAnswer: -17*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - -1*1*sqrt(3)) + (0 + sqrt(3))**2*6 - (-3*(sqrt(48)\/sqrt(4) + sqrt(3)))**2.\nAnswer: -225 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 3. Let y(p) = -p**3 + 8*p**2 - 7*p + 4. Let v = -582 + 585. Calculate the lowest common multiple of v and y(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + j + 0*j - j + 0*j + (-3 + 3 - j)*(-3 + 0 + 2) - j - 2*j + j)*(-2 + 2 + 1 + 0 - 5 + 4 + (-4 + 5 - 3)*(0 + 0 - 1) + 2 - 1 + 1).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/99 and (-836)\/912*(-3)\/(-9).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*z**2 + 10*z**2 - 2*z**2 + (z + 1 - 1)*(7*z - z + 0*z) - 5*z**2 + z**2 + z**2.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 5*x**2 + 2*x - 6. Let s be q(5). Suppose 0*w - 5*h = -5*w + 5, -4*h + 36 = s*w. Put -6, 3, w in decreasing order.\nAnswer: w, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - z**2 + 7*z + 1. What is c(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/42 and 26\/36033?\nAnswer: 504462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3180 and 111\/608440.\nAnswer: 1825320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 108670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -3, -1\/3, -2\/5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6534\/63 + 4\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 5:06 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/(-48) + -4)*16 + 0\/(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/473314 and -65\/1225048.\nAnswer: 20825816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -0.2, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 644 = 5*n. List the prime factors of n.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 2:17 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -636*i - 32. Let p(v) = -v - 2. Let w(s) = h(s) - 16*p(s). Let z(f) = -f. Calculate w(z(j)).\nAnswer: 620*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -81912156.2 to the nearest 100000.\nAnswer: -81900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oclollkeeoekr. Give prob of picking 1 r, 1 l, and 1 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 4*r + 1. Let m be w(3). Suppose 2 = 2*i + 18. Let a = m - i. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171.2007 + -163.981888. Let g = 7.22 - p. Round g to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 5610?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lflxxxxllxxxxflx. Give prob of sequence flfx.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10188765 and 108363.\nAnswer: 2643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219498443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(2\/15))\/s*s)**(-6\/11) assuming s is positive.\nAnswer: s**(-64\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -9. Let s = 59.3 - 59. Which is the closest to -0.3? (a) s (b) j (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-40)*3)\/((-30)\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3638 - 3620. Calculate the remainder when 2317 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 9*f**2 - 9*f + 8. Let z be j(-6). Let m = z + 66. Let s = 435 - m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q + 4. What is the remainder when 25 is divided by z(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5109 - -0.47091. Let f = 0.2 - 0.24. Let h = z - f. Round h to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 7777 + 7777 + 2*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 5*c**2 - 2*c - 19. Let v be s(-6). Suppose 0 = 2*o - 1 + v. What are the prime factors of (51 - 4 - -2)*(-24)\/o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x - 219. Let o = 624 - 607. Let q be w(o). Solve 0*d = -q*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/11652087 and -25\/234?\nAnswer: 908862786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1618*m**5 - 2*m**4 + 6*m**2 - 5*m + 23692 wrt m?\nAnswer: 32360*m**3 - 24*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 21*y**2 - 9*y + 2. What is the tens digit of l(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 60*p + 225.\nAnswer: 3*(p - 15)*(p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 120 = -10*p - 70, 2*z - 5*p + 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 186 - 166. What is the second smallest value in 3, -0.2, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 29*q + 74 = 32*q, 4*q - 77 = -5*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9)*v*v*v*v\/(v*v**(-15))*v*(v**(-5\/4))**21 assuming v is positive.\nAnswer: v**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3421055343182 and 3.7.\nAnswer: 3421055343185.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 6*x + 12. Let k be (1222\/(-4))\/((-3)\/x). Let p = -1181\/2 - k. Find the common denominator of -29\/12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 times 146798\nAnswer: 12184234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760 = -4*x + 2*l, -2*l - 48 = -2*x + 334. Calculate the common denominator of 13\/90 and (3 + (-763)\/x)\/(-1).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 3*s - 3. Let x(o) = -2*o**2 + 5*o - 5. Let h(n) = -6*x(n) + 10*z(n). Let v(u) = 3*u. What is h(v(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -20. Suppose 4*z = 2*n + p, -2*z + 3*n + 4 = -5. Let t(o) = -o + 8. Determine t(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*d + 69*d - 12*d in the form t + i*d and give i.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97\/42 + 15\/7. Let o be (-14)\/3 + 2\/(-6). Which is the third biggest value? (a) o (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + ((-14)\/8)\/(4\/(-32)). Let v be ((-4)\/21)\/((-8)\/d). Which is the closest to v? (a) 5 (b) -2\/11 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397914 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.2 + 10.2. Put 4, b, 1 in increasing order.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.79784 and 115.976249?\nAnswer: 110.178409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19564 and 12688714?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -93, -218, -393?\n\"Answer: -25*o**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v**2 + 1160*v + 87. Calculate the remainder when o(103) is divided by 65.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (93\/(-297) + (-448)\/(-72) + -6)*(3 + -4)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(2\/7))**(-26\/3))**(-21) assuming l is positive.\nAnswer: l**416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 - 5*o**3 + 2*o**3)*(14*o - 2*o - 3*o) - 3*o**4 + 0*o**4 + o**4 + (3 - 1 - 1)*(o**4 + 3*o**4 - 5*o**4) - 3*o**4 - 2*o**4 + 4*o**4.\nAnswer: -67*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 - (4 + 0 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(80)*-1)*-4)**2.\nAnswer: -384*sqrt(5) + 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/15 - u**3\/3 - 4*u**2. Let k be (-4)\/(-22) + 80\/44. Let d(c) = 5*c**2 + c + 3. What is k*d(a) + 3*h(a)?\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.5 - -25. Let p = 0.441 + -1.541. Let z = p + b. Put -1\/3, 0.2, z, -1\/5 in decreasing order.\nAnswer: z, 0.2, -1\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1479?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63367*b**3*n + b**2*n**2 - 22*b + 120820*n**2 - 3 wrt b?\nAnswer: -190101*b**2*n + 2*b*n**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*o - 44 = 0, -5*h + 5*o - 11 + 76 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451526.3 millilitres to litres.\nAnswer: 451.5263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**2\/x))\/x*(x\/(x\/x**9))\/x)\/(x**(-2\/17)\/(x**8\/x)))\/(((x*x\/(x*x**(-3)))\/(x**8\/x))\/((x*x*x**6*x)\/(x**(-3\/2)*x))) assuming x is positive.\nAnswer: x**(871\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 223. Let i = s + 103. What is the closest to 0 in i, -2, -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 4 - 4 - 3*z + 1 - 5*z. Let g be r(-5). Calculate the least common multiple of 7 and g\/12 + 16\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-6)\/((-144)\/(-30)). Sort 32, m, -5 in decreasing order.\nAnswer: 32, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35434 + 12?\nAnswer: 35450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/319 and -33\/4553.\nAnswer: 50083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87758\/3899 at least as big as 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78907\/14124 + 4\/1177. Let l be (-64)\/(-112) + (-9486)\/112. Let m = -84 - l. Calculate the common denominator of g and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 5:02 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194 - 169. What is the highest common divisor of u and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - k + 3*k)*(-3483 + 1742 + 439*k + 1741) as w + q*k**2 + t*k and give q.\nAnswer: 1317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s + 29. Let k be y(-3). Factor -919*f**2 - 921*f**2 + 1838*f**2 - k*f**3 + 0*f**3.\nAnswer: -2*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11432 by 5716.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccn. What is prob of picking 4 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*w = 1 + 11, 0 = 4*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*a + 76*a - 5*u - 40625 = 0, 2*a - 4*u = 16262. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 933.73433 to the nearest integer.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2617 + -1?\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -64*u**3 - 82*u**2 + 6*u - 127. Let w(d) = 9*d**3 + 11*d**2 - d + 18. Give -2*q(k) - 15*w(k).\nAnswer: -7*k**3 - k**2 + 3*k - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440000 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 32. Let s be (-1 - -5)\/(10\/115). Let p = c + s. Calculate the least common multiple of p and 4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + sqrt(1700) + -2))**2 + sqrt(153)\/(-2*sqrt(9)) + -1*sqrt(425) + (-4*sqrt(204))\/sqrt(12).\nAnswer: -99*sqrt(17)\/2 + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -379, 3, -1991 in descending order.\nAnswer: 3, -1, -4, -379, -1991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 2*a + 4. Let w be x(-6). Suppose -n = -1 - 0. Suppose 3 = d, 2*d + 3*d = 2*h - n. Calculate the greatest common factor of h and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h - 3. Let t be j(-1). Suppose 4*z - 6*k = -k + 5496, -t*z + 6825 = 5*k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3590, 3610, 3630, 3650, 3670, 3690?\nAnswer: 3710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:24 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/3 + 19188886*b + 57566660\/3 = 0. Calculate b.\nAnswer: -1, 28783330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3203748315 to the nearest integer?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5 - 40*k**4 + 44*k**3 + 1568*k**2 + 2834*k + 1352 = 0.\nAnswer: -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 5666.\nAnswer: 113.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -4, -1\/5, -7 in decreasing order.\nAnswer: -0.09, -1\/5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2256*n - 95 = 2253*n, -4*f - 54 = 2*n for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 563*i + 6. Let b be k(4). Suppose -2*o = 2*g - 14442, 3*o + 2*g + 21683 = 6*o. Let y = o - b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -27*v + 3 - 26*v - 30*v + 16*v. Let p be h(-1). Calculate the highest common factor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w**2 + 17. Calculate k(2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 1231688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249007 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2*sqrt(190) - sqrt(190) - sqrt(190)))\/(sqrt(1210)*1) + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k + 8. Let m(n) = -7*n + 5. Let b(h) = 5*l(h) - 8*m(h). Let f(a) = 9*a. Give f(b(x)).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32*57\/34048)\/(9\/8).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7293 is divided by 693.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 403854 and 36714.\nAnswer: 403854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 217*b + 1692. Calculate k(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 112\/21 - 4\/(-6). Let o(l) = l**2 - 4*l + 3. Let u be o(q). List the prime factors of u\/10 - (-70)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 47*b + 13. Determine y(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 p when four letters picked without replacement from {k: 5, p: 7}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hloqyyflf. Give prob of sequence oy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20220211 + 122002201?\nAnswer: 220000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 13. Let o be p(-3). Solve 5*c - 24 = 3*j + 1, o = j + 5*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1787*i + 80892 = 477 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 13. Let h = -5 + f. Is (h - -5) + (0 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*5\/(-420)*25\/5*7\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 + 8) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3)*0)\/(1\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -503*683\nAnswer: -343549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 10:23 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36024557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20392152*c**2*s + 164*c*s - 3*c - 1265*s wrt c.\nAnswer: 40784304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 7*q - 6. Let c be m(6). Suppose -5*u + 6*u = -5. Let k be (-1)\/(u\/((-5)\/2)). Which is bigger: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 73 + 69 - 69 + s**2. Let l be p(0). Let f = l + 158. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s*s\/(s**(-3\/4)\/s))\/s)**32)**(3\/13)\/(s*s\/(s\/s**(-2\/3))*s**(-4))**10 assuming s is positive.\nAnswer: s**(2798\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1. Let q(w) = w**2 - w - 1. Suppose 0 = -3*k + 3*c + 3, 0 = 5*k - 0*k - 3*c - 5. Determine k*g(v) - q(v).\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = -50. Let i be (3\/(-25))\/(5\/r). Which is the nearest to 0.1? (a) 0.3 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/3)*h*h\/(h\/((h*h*h**6*h*h)\/h))*h**(1\/7)\/h**(-3\/7) assuming h is positive.\nAnswer: h**(236\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 - -100101?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1256 + 20794*d - 20796*d - 1306 + 2512.\nAnswer: -2*d - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/10)*t)\/t)\/t*t*t\/(t*t*t*(t\/(t*((t\/(t*t**(2\/11)\/t*t))\/t)\/t))\/t)*t**(-6)\/t*t*t**(-4))**35 assuming t is positive.\nAnswer: t**(-9457\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 1, f: 1}. What is prob of sequence vk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 3*o**2 + 2*o - 2. Let v be h(2). Let p be (-25)\/v - (-6)\/12. Let r = p + -9. Put r, 1, 0.7 in descending order.\nAnswer: r, 1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*h - 230 = 3*n, 2*n + 3*h = -97. Let i = 59 + n. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*i + 258 = 244, 0 = -5*i + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f. Let y(z) = 402175*z. Determine a(y(o)).\nAnswer: 1608700*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3956\/707493?\nAnswer: 3956\/707493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a + 0*a - 3*a)*(-3*a - 2*a**3 + 3*a) + (-3*a**2 + 2*a**2 + 5*a**2)*(11*a**2 + 30*a**2 - a**2) as j*a + o*a**4 + r*a**3 + i + d*a**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -18, 5, -2\/12913?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*f + 10, 5*f - 23 = f + 5*w. Let r(b) = 0 - f*b - 3 + 1. Determine r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 1.4. Let f = r - 2.7. Let u = 2.00015 + f. What is u rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2. Let b = 12 - 10. Let j(v) = 3 - 2 + 3*v**b - 1. Determine j(u(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8265 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 4*12\/(-8) + 4. Let z be 0\/(24\/(-16)*s). Put 3, -3, -1, z in increasing order.\nAnswer: -3, -1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*d**3 + 63\/2 + 251\/4*d + 31*d**2 = 0. Calculate d.\nAnswer: -1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 2*d - 8, v + 2*d - 1441 = -1437 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 1) + -6 + -1 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 5*h**2 + 8*h - 5. Let o be i(6). Suppose 3*b + 1 = o. Suppose b*w - 2 = w. Let f(x) = 3*x - 3. Let u(r) = r - 1. Give w*f(p) - 7*u(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (7 - 7) + 5 - 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h - 141. Suppose 70 + 44 = 3*k. Calculate the remainder when u(14) is divided by k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35340 and 75392.\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugbb when four letters picked without replacement from uubbgubgubbpgwb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Let w be a\/(-2) + 166\/2. What is the remainder when -1*3\/(-6)*w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1411*h**5 + 107*h**4 - 92552*h - 1?\nAnswer: -28220*h**3 + 1284*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567 a factor of 175126012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 162.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/4 + 13*s**4\/4 - 41*s**3\/4 + 47*s**2\/4 - 9*s\/2 = 0. Calculate s.\nAnswer: 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/1)\/(34\/(-85)). Solve o = -b - 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k**3 - k)*(0 - 12 + 29).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 23 = -4*y, -y - 3*z = -6*y + 28. Let f be 1 + 0 + (2 + 6 - y). Let l(n) = 2*n - 3. What is l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1156, 2292, 3442, 4612, 5808, 7036?\n\"Answer: p**3 + p**2 + 1126*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 8. Let r be u(-7). What is the remainder when 0 - (-5 + r\/3) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 35*s**2 - 17*s**2 - 20*s**2. Let i(h) be the third derivative of -h**5\/60 - h**2. What is l(i(u))?\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-8))\/n*n**1)**28\/((n**(1\/6)\/n)\/n*n*n**(-11))**28 assuming n is positive.\nAnswer: n**(490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from heeegeeghggeee?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*s - 28 = -8*s, 16 = -2*t + 3*s. Let y be (-3)\/t*(4 + 1). Let c = 293588 + -293588. Solve c = -x + y - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10859*y = -10986*y - 1673 + 8658 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3861\/54 - 31 - 3\/(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: efb (base 16) to base 10\nAnswer: 3835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26408561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2 - m + 1. Let b be z(2). Sort -1\/4, 2, b.\nAnswer: -1\/4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(180) - sqrt(180))\/sqrt(10))\/(sqrt(42)\/(sqrt(7)*1)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7642, -15273, -22904, -30535?\n\"Answer: -7631*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 51. Give i(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 547\/346061 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/12 + i**4\/4 + i**3 + 15*i**2. Let n(m) = -11*m**2 + 13*m + 13. Calculate -6*n(a) + 13*p(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87308a - 3?\nAnswer: -873092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0144 * -0.5.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = -5*r, -2*g + 3*r + 88 = 0. Calculate the remainder when g is divided by ((-58 + 2)\/(-4))\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2821 divided by 1\nAnswer: -2821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*j + 40, -4*r - j + 5 = 2*j. Let v(n) = -n + 9. Does 4 divide v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 19b?\nAnswer: -1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s. Let n be y(2). Let z be 0*(0 - n\/(-4)). Let w = z + 8. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16391 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n - 6. Let p be ((3 - 3)\/7)\/(5 + -1). Suppose p = -5*c + 11*c + 24. Let g(w) = -4*w - 5. What is c*g(m) + 3*h(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j = 46. Let a(z) = -z - 8. Let t be a(-8). Solve -5*i = -t*i - 5, -5*u - j = 2*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*s = -3 - 3, 3*s = -c - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-6) + 3*2. Suppose 2*d - d = -m*s + 10, 18 = 4*s - 3*d. Let r = 0.8 + -1. Is s != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 10 - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 29*q - 37. Let y be i(-16). Let h be ((-12)\/(-9))\/(4\/(-6)) + y. Let l = -91 - h. Do l and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 at least 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 8\/2) + (-2828)\/(-505). What is the fourth smallest value in w, -3, 0.5, -0.07?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1009*j**2. Let t(i) = -43*i**2 - 45*i - 150. Let v(w) = 6*w**2 + 6*w + 20. Let h(k) = 2*t(k) + 15*v(k). Calculate h(b(z)).\nAnswer: 4072324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/2 + 36*n + 767\/2 = 0.\nAnswer: -59, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 3084.9 and 0.528547.\nAnswer: 3085.428547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n. Let l(f) = -f - 5*f + 2*f - 9*f - f. What is m(l(s))?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 55*x**2 - 6380*x + 15. What is t(116)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0. Let k = 19 - 18. What is the nearest to c in 1\/11, -3\/2, k?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 151*r - 295. Let k(j) be the second derivative of -5*j**r + 0 - 4*j + 0*j**3 + 0*j**4 + 3\/20*j**5. Find the first derivative of k(t) wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -2*n**7\/35 - n**6\/60 + 343*n**4\/24 - n**3\/6 + 20*n**2 + 3*n. Find the second derivative of r(b) wrt b.\nAnswer: -144*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 45. What is the units digit of 227*(g - 2 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + z)*(-3 + 0 + 4) + 2*z + 2*z - 3*z + 3*z - z + 0*z - 7*z - 2 + 0 + 9*z.\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) + 4 + -5. Let o be 2\/(3\/2 - t). Suppose -123 = -r - m, m + 111 = r - o*m. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(500) + -2 - (-1*sqrt(500) - sqrt(500))*1 - (-5 + 0 + sqrt(500) + sqrt(500) + (sqrt(500) - sqrt(500)*1*6))) + -1)**2.\nAnswer: 120*sqrt(5) + 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121645*j + 121483*j - 162 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 1.68*3.1\nAnswer: 5.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2508, -5333, -8470, -11919, -15680, -19753, -24138?\nAnswer: -28835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 79300*g**2 + g. Let m(w) = -3*w + 49. Determine m(u(k)).\nAnswer: -237900*k**2 - 3*k + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 3 - (3\/(-2))\/((-27)\/(-18)). Solve -1\/4*k**j + 1\/4*k - 7\/4*k**2 + 7\/4 = 0 for k.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46028 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(-2*z + z + 2*z) - 4*z + 2*z + z + 0*z - z + 2*z - 2*z + 0*z - 2*z + 18*z - 19*z - 30*z + 2*z + 1 - 1 + (-3*z + 3*z - 2*z)*(-5 + 2 + 1).\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -2, -35 in ascending order.\nAnswer: -35, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)*r**(-1\/3)*r*(r\/(r**(1\/3)*r))\/r**0*((r**(-1))**(12\/11))**12 assuming r is positive.\nAnswer: r**(-454\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3531070 and 1360?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14905823 divided by 1?\nAnswer: 14905823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -20*x**5 + 4*x**4 + 65432*x**3 + 1177448*x**2 + 2902140*x + 1790100 = 0.\nAnswer: -45, -17, -9\/5, -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 11*t**5\/20 - 29*t**3\/6 - 3*t - 5. What is the second derivative of y(g) wrt g?\nAnswer: 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 7797.\nAnswer: 54579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(0 - 2*y + 0) + (-142 + 18*y + 142)*(-2 - 2 + 5).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 14*c**2 - 12*c - 31. Suppose 7*o = 2*o + 15, 4*n + o - 55 = 0. Determine y(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, 22, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9\/2)\/g**(-6\/5))**11 assuming g is positive.\nAnswer: g**(-363\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-10))\/r**(-5)*r**(-4)*r**(1\/4) assuming r is positive.\nAnswer: r**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 222003222?\nAnswer: -222003210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2105, -2431, -2757, -3083, -3409, -3735?\nAnswer: -4061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**2. Suppose -2*r = r - 3, -23 = -4*k + 5*r. Suppose -k*h = -3*h - 12. Let t(q) = 2*q**2 + h*q**2 + 0*q**2 - 3*q**2. Calculate t(z(n)).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, 0.3, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/((y\/y**(-1\/5))\/y))\/y))**11 assuming y is positive.\nAnswer: y**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 887, 898, 919, 956, 1015, 1102, 1223, 1384?\nAnswer: 1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18975781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 286 + -859\/3. Which is the nearest to g? (a) 1 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54235, 53743, 52401, 49783, 45463, 39015, 30013, 18031?\nAnswer: 2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 673241478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.039583, -1, 2\/17, 0.3 in decreasing order.\nAnswer: 0.3, 2\/17, 0.039583, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -0*x - x. Let n be (2 + 7\/(-3))\/((-2)\/96). Suppose -12 = -2*w + n. What is the greatest common divisor of w and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*j = -1058 - 4504, -j = -z + 1391. Suppose -z = -5*l + 2*a, -l = 4*a + 45 - 345. What is the smallest common multiple of 24 and l?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8.4, 1, 8, 1.267 in increasing order.\nAnswer: -8.4, 1, 1.267, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41139.\nAnswer: 3, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1\/7, 4\/2383, 171.45 in descending order.\nAnswer: 171.45, 2\/9, 1\/7, 4\/2383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.247679 to 3 dps.\nAnswer: -0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -2*r. Suppose 0 = -j + r - 0. Solve j*a - 1 = 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in millimeters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 504 + -943. Let i = 467 + s. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - h + 2. Let o be g(-2). Let d(c) = -7*c + 9. Let p(n) = -11*n + 13. Let w(m) = 8*d(m) - 5*p(m). What are the prime factors of w(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*t - 75*t. Solve t = 18*b - 15*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 - (-7 - -12 - 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.04, 0.5, 6\/7, 2\/13?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -77, -1\/2, -0.3?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6426 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 18, 25, 36, 51, 70, 93?\n\"Answer: 2*h**2 - 3*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 c when four letters picked without replacement from {c: 5, f: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166 and 652214.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grzzgrzrrazrzuzryg. What is prob of sequence arg?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2. Let y(d) = 4856*d. Calculate y(q(t)).\nAnswer: -14568*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 430, 3464, 11690, 27700, 54086, 93440, 148354?\n\"Answer: 432*n**3 + 4*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23*((-2)\/(-14) + 0) and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 3*u - 23*v + 26*v - 22, 5*u - 19*v + 633 = -0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16348082*k**2 - 11002626*k.\nAnswer: -32696164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*k**4 - 3*k**4 - 3)*(0*k - 2*k - 2*k).\nAnswer: -8*k**5 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, 5, -0.03, 12, 65?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 23. Let q be 138\/10*(-10)\/15 + (-12087)\/(-1343). Which is the second smallest value? (a) f (b) 7\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9*a. Let k(r) be the third derivative of -287*r**5\/15 + 3359*r**2. Calculate t(k(b)).\nAnswer: -10332*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**6 + 24*u**3 - 2*u**2 + 582*u.\nAnswer: -480*u**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 777\/1223, 0.4, -1\/5.\nAnswer: -19, -1\/5, 0.4, 777\/1223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 * -0.53.\nAnswer: -0.1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o**(-7\/5)\/o*o*o)\/o)*o)\/o)\/o*o*o*o**(2\/9))\/(o\/((((o*o**4*o*o)\/o)\/o)\/o*o*o))**(-6) assuming o is positive.\nAnswer: o**(-1187\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 11*u - 10. Let w be x(12). Suppose -8*h = -7*h + w. Which is the closest to 0? (a) h (b) -5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 + 45*i**2 + 30*i - 12. Let g(n) = 7*n**3 + 91*n**2 + 55*n - 22. What is -6*g(b) + 11*m(b)?\nAnswer: 2*b**3 - 51*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p = -75*p + 2*j + 10, -5 = j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/24 + 13*k**5 + 775*k**4\/24 - 16*k**2 + 7*k. Factor q(b).\nAnswer: 5*b*(b + 1)*(b + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + (1 + 0 - 2)*(0 + 1 - 3) + 3 - 4 + 9 - 12 + 11 + 7)*(4*s + 6*s - 5*s).\nAnswer: 75*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -13.9. Which is the second smallest value? (a) -2\/9 (b) q (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2823, -4210, -5593, -6972, -8347?\n\"Answer: 2*o**2 - 1393*o - 1432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {h: 3, b: 6, c: 1, v: 1, p: 1, g: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1507\/304 + 23\/38. Find the common denominator of q and (87\/(-18))\/(((-330)\/(-9))\/(-10)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*x + 6. Is x at most as big as 2\/2069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 12:29 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 287 = -16*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770 = 31*k - 17*k. Suppose 0 = 46*i - k*i + 88785. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/40313 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/22)*(f**(-8)\/f)\/f*f**3\/f**(-1\/12) assuming f is positive.\nAnswer: f**(-919\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3546 - 20?\nAnswer: -3566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 27*w**3 - 2*w**2 - w - 4. Let m(j) = j**3 - 1. Give -4*m(t) + q(t).\nAnswer: 23*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -871*h**2 - 2*h - 28. Let a(p) = 2*p + 31. Calculate -a(y) - x(y).\nAnswer: 871*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/12 + (-1034655)\/(-414) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7209 - 0.5709. Let y = -22 - -22.65. Let g = w - y. What is the closest to -1 in 0.05, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 + -701c97?\nAnswer: -701cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*q**3 - 4*q**2 - 60 - 69*q**3 + 62.\nAnswer: -112*q**3 - 4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 - (-455)\/20. Calculate the greatest common divisor of 33 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/23 - 118422*o\/23 - 118420\/23 = 0 for o.\nAnswer: -59210, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/(((-18000)\/32)\/225)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -0.25 (c) 9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 31117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25547 less than -0.5?\nAnswer: -25547.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -48 (b) -2 (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40547, -81074, -121601, -162128, -202655, -243182?\n\"Answer: -40527*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f - 41337*f**2 + 3*f + 5*f.\nAnswer: -41337*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -52*j - 215. Let w be p(-6). Solve -k + w = 99 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 27, -5, 3, 28 in descending order.\nAnswer: 28, 27, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 - 8*a - 1. Let d be o(-7). Let j = 207 - d. Calculate the greatest common factor of 65 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 k when three letters picked without replacement from kkikkmcckkmkmki?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 1\/12*p**4 - 3*p + 0 + 3\/20*p**5 - 1\/28*p**7 - 1\/4*p**2 - 1\/60*p**6 - 1\/4*p**3. Find n such that x(n) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/120 + f**5\/5 + 9*f**4\/8 + f**3\/6 - 19*f**2. Let b be v(-6). Calculate the highest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 16, -1\/22, 6, 2\/51, 4?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*k - 15876 = -20*k. Let l be 4\/(-8) + (k\/4)\/(-9). Suppose 4*r = 2*b - 144, -5*b - 2*r = -3*b - 168. Calculate the greatest common divisor of l and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -300456*l**4 + 1194*l**2 - 113 wrt l.\nAnswer: -7210944*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44094 divided by -13.\nAnswer: -44094\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 387755608.79937 - 387757918. Let k = 2315.1 + g. Let q = k + -5.9. Round q to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313326 divided by -13.\nAnswer: -24102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let r(k) = -25225*k. Give u(r(q)).\nAnswer: 25225*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 24 - 56 + 12*k**2 + 32. Let s(c) = c + 1. Let w be s(4). Let n(p) = -3*p + 0*p + 0*p + w*p. What is n(x(q))?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -34*k + 8. Let h(f) = 16*f - 5. Let v(s) = -5*h(s) - 3*u(s). Find the first derivative of v(t) wrt t.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -36*i**3 - 70*i**2 - 42*i + 104. Let b(p) = -13*p - 5*p**3 - 10*p**2 + 15 - 6*p + 13*p. Let w(j) = 44*b(j) - 6*c(j). Determine v so that w(v) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**6\/42 - 3*q**5\/35 - q**4\/14 + 2*q**3\/21 + 3*q**2\/14 + q\/7 - 1. Factor f(t).\nAnswer: -(t - 1)*(t + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -3. Suppose -3*i - 3*o + 12 = 0, 36 = 5*i + o + 12. Let p be (-2)\/(-5)*i\/8. Which is the closest to g? (a) p (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/819? (a) 0.2 (b) -0.5 (c) -0.17 (d) 0.266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 92135.41um?\nAnswer: 9.213541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13804)\/(-24) - 5\/30. Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57702, -57649, -57596, -57543?\n\"Answer: 53*r - 57755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 + 2787 = 4*b. Let s = -724 + b. What is the remainder when s is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvbbbbfbfvxrrbbx. Give prob of picking 1 b and 2 f.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 35. Let w(g) = -19*g - 4. Let m be w(-3). Suppose -o - m = -3*q - 3*o, 0 = 4*q - 5*o - 86. Let j be i(q). Solve 3*x = -0*x - j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvyvpyp. What is prob of picking 2 p?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1442.8 + 1444. Let d be (-8)\/(-6) - 305\/240. Is d bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 - (38 + -67 + 45).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**2\/2 - 5*m - 2. Let o be d(-4). Let t be (0 + o)\/(2\/(-12)). Solve 5*a + 5*x - 15 = 0, -t - 3 = 5*a - x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 4, 3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Let z(q) = 3*q - 2. Let l(u) = -10*u + 7. Let o(n) = 2*l(n) + 7*z(n). Let y(d) = 2*a(d) + 3*o(d). Let j(b) = 2*b. Determine y(j(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.2, 4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - (-1 - 10) - -32) + (-16 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -138096358.96407 + 2?\nAnswer: -138096356.96407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 687 + -671. Let l be (2 + s\/(-12))\/((-16)\/(-6)). Factor 1\/4*h - l*h**3 + 1\/4*h**2 - 1\/4.\nAnswer: -(h - 1)**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-11))\/((-50)\/275). Let o be 12\/(-9)*1*3. Let a = -2 + 1.9. What is the biggest value in o, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07594 + -3.91706. Let w = a - 0.007. Suppose -6*h + 30 = -h. What is the closest to -0.1 in h, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4 - 249*x**3 - 7703*x**2 - 14655*x - 7202 = 0.\nAnswer: -26, -1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/67)*z**(2\/27))\/(z*z*(z\/(z*z**(-25))*z)\/z*z*(z\/z**(1\/2))\/z) assuming z is positive.\nAnswer: z**(-99119\/3618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7616 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 15. Suppose -100 = -v*f + 4*y, 5*f - 54 = -3*y + 46. Let b be 1\/7 + 1104\/112. Calculate the highest common divisor of f and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**2. Let w = 207 + -203. Let o(j) = 13*j**2. Determine w*o(d) + 5*q(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31240.3 - 107\nAnswer: -31347.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - 51*p = 42. Solve 0 = -2*v - 2*z + p, -3*v = 6*z - 2*z - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 2. Let n be f(4). Suppose 6 = -n*w - w. Is 8 a factor of w*(-3)\/(-18)*-24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26739 divided by -1669.\nAnswer: 26739\/1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1121 + (-30)\/(5\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33200360 to the nearest integer?\nAnswer: 5762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + k**2 - k - 1. Suppose 187*p = 189*p - 4*q - 18, -q - 4 = -p. Let f(t) = 49*t**3 + 35*t**2 - 35*t - 35. Determine p*f(i) + 35*c(i).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9106130 to the power of 1\/2, to the nearest integer?\nAnswer: 3018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 50*v**2 + 261*v + 135. Let r be m(44). Solve 8 - 3 = r*k - f, -2*k = -5*f + 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 159475?\nAnswer: -159472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 3 + -2 + 4. Suppose 0 = f*o - p + 6*p - 8, -4*p = 0. What is the third derivative of 3*y**5 + 6*y**2 + 3*y**5 - 4*y**o - 5*y**2 wrt y?\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/1275 and 9\/250.\nAnswer: 12750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7296 = -14*k. Let t = k - -396. Put 2, -3, t in ascending order.\nAnswer: -3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 1016*x**2 - 90.\nAnswer: -1016*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v + 108856 + 25702 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/720 - a**5\/90 + 7*a**4\/144 + 5*a**3\/18 + 24*a**2. Suppose p(i) = 0. What is i?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -691\/4, -1 in decreasing order.\nAnswer: -1, -5\/3, -691\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -750 by 47.\nAnswer: -750\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59\/4 of a millimeter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*l - 58, -5*s = l - 0*l - 127. Solve 2*p - s = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13 - 13 + 0 + 25*t. Let v(r) = 7*r. Suppose k - 30 = -4*k. Let b(g) = -g. Let q(n) = k*b(n) + v(n). Give q(z(a)).\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 19*z = q - 2*q + 11, 3*q = -4*z + 5 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s*s**(2\/11)*s*s*s*s)*s)\/s*s)\/((s**7*s)\/s))\/(s*s**3*s*s\/(s*s**(2\/13)*s*s)*s) assuming s is positive.\nAnswer: s**(-1863\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (3 - (0\/(-1) - -2)). Suppose 2*n = -0 + v, -n + 10800001 = -k. Round k to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3549830*h - 3. Let m be z(3). Let j = m + 7250513. What is j rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2486\/4068*9\/(-66)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64716 and 64128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614246 is divided by 25545?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y - 3*m = -18, -5*y + m = -12. Suppose 0 = 3*j - 2*a - 50, 4*a + 20 = 2*j - j. Factor -j*u - 1 + 2*u**3 - y*u**3 - 3*u**2 + 13*u.\nAnswer: -(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -12 (b) 114 (c) -9 (d) -2\/13 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**5 - 148*n**4 - 828*n**3 + 436*n**2 + 2224*n - 1680 = 0?\nAnswer: -30, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 6*n**2 - 7*n + 9. Let r be c(-7). Let j = -8 + r. Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -1366*y**2 + 24*y - 4*y**4 + 10*y**3 + 22*y**3 + 1314*y**2 = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5017.095 * 1.\nAnswer: 5017.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:08 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 - 6*f + 10. Let w(a) = -a**3 - 5*a**2 - 4*a + 7. What is -5*b(l) + 7*w(l)?\nAnswer: -2*l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17932559.\nAnswer: 17932559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**(-4\/5)\/((r\/r**7*r)\/(r*((r\/(r\/r**(1\/3)))\/r)\/r)) assuming r is positive.\nAnswer: r**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvppwvpwppy. What is prob of sequence yywp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/25)*z*z**13\/z)**(-2\/33) assuming z is positive.\nAnswer: z**(-64\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -2 - 1\/2*2. Suppose -5*h + 56 = 2*h. Let i be 6*h\/36*15. What is the second biggest value in -2, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -30632*b - 9036419. What is z(-295)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7675 < -7726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2*s)*(1 - 3 + 0) - 3*s + 2*s + 0*s)*(-1 + 1 + 2)*(-4 + 164*s + 184*s - 371*s).\nAnswer: -138*s**2 - 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + 3. Let r be 5\/45*-3*-9. Suppose 2*b = -2*u + 29 + 7, r*u - 5*b = 38. Solve 0 = -4*y - 0*h + h - u, -o = 4*y - 4*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -3*w - 4*h, -h = 5*w - 3*h - 328. Suppose 3*c = -c + w. Suppose -14*n = -173 - 457. Calculate the remainder when n is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*-2*-2)\/(sqrt(405)*2).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 + 6 = 0. Let j(t) = -2*t**2 - 3*t + 6. Let u be j(o). Solve z - 4*z = -u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8048.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4 - 0. Let w = 8 + y. Solve 7*l + 3*z + 6 = 4*l, -3*l = w*z + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**3\/2 - 2*n**2 - 4*n - 1. Let x(l) be the first derivative of d(l). What is x(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 + 3*b**2 + b. Suppose 3*y = -5*l + 4*y - 8, 2*l + y + 6 = 0. Let q be i(l). Let k(w) = -83*w - 9. Is k(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**2 - 3*d - 3. Let q(k) = -22*k**2 - 8*k - 8. Let u(v) = 3*q(v) - 8*z(v). Let g(l) = 156*l - 2. Give g(u(b)).\nAnswer: -312*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2\/(-4)*-2. Suppose 0 = -d - j + 37, -d = -l*d + j + 68. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2170 is divided by 267.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c - 19. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9670, -18927, -28186, -37447, -46710, -55975, -65242?\n\"Answer: -o**2 - 9254*o - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2834286223 and 0.042.\nAnswer: -2834286222.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z = -o - 24, -2*z + 4*o = -26. Sort z, -4, 2, 3 in descending order.\nAnswer: z, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*a + 1553 = 3*f, 0 = -2*a + 2. List the prime factors of f.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 3*k + 3. Let c be o(3). Let r = -121 + 144. Suppose 0 = z - r + 20. Solve -15 = -5*l, -4*p + z*p = -c*l + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 20*k**2 - 35*k + 20. Let s be b(-18). Suppose -2*t = 4*f - 8*f + 4, -2*f = -2*t - s. Determine g, given that t - 5\/4*g**2 + 1\/4*g**3 + g = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a. Let y be f(-3). Let q(i) = -y - 8 + 11 - 2*i + i. Let x be q(-8). Solve -4*c = c + x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 118*n - 2596. Let a be s(22). Let x(w) = 3*w - 24. What is x(a)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*1)\/(-1 + 2). Let u be (-62)\/12 - c\/12. Let l(q) = 6*q**3 + 8*q**2 + 8*q + 8. Let a(b) = -4*b**3 - 5*b**2 - 5*b - 5. Give u*l(p) - 8*a(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((126\/(-4))\/63)\/((-3)\/106).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 (base 7) in base 14?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2684 by 1075.\nAnswer: 2684\/1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190683 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21868382?\nAnswer: 2, 3023, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3 = 2*b, -3*x + 1088 = -2*b + 1083 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 3*b - 4*b + 5*b)*(-b**3 + 3*b**3 - 4*b**3).\nAnswer: -2*b**5 + 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-112)\/42*(-2 + (-1 - 111))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -19*f**3 + 100*f**2 + 123*f + 21. What is b(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 3) to base 5.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/3 + (-54)\/81. Let r be (i\/8)\/(2\/(-4)). Let h = 37 - r. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 - 10\/(-4). Suppose -3*c - n - b + 1 = 0, -1 = -c - n. What are the prime factors of (c + 2\/6)*-21?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and (2\/(-1))\/((-11)\/66).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 48510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t + 4. Let a be d(0). Suppose -a = -2*p, 0 = -2*y - 0*p - 4*p + 14. Solve 7*m = y*m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -2\/7, 0.36, 0.48, 2\/7?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b + 2. Let x be t(2). Let o = -55 + 65. Suppose 2*d = o*d - 224. What is the highest common divisor of x and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404136 is divided by 1018?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 1078.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 18*v**2 - 22*v - 1. Let f = 68 - 85. Is 9 a factor of h(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19644 divided by 4?\nAnswer: 4911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 9. Let x(r) = -4*r**2 - 8*r + 266. Give x(q(g)).\nAnswer: -36*g**2 - 240*g - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 288551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 11*y**2 + y + 12. Let m = -24 - -13. Let h be b(m). Calculate the greatest common factor of h and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -16 + 0*m + 2*m + m**2 - 1. Is t(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 298*m - 1790*m + 41.\nAnswer: -1492*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taaa when four letters picked without replacement from uttaadtataatthu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**5 - 60*o**4 - 17*o + 1 wrt o?\nAnswer: 40*o**3 - 720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22*2.79\nAnswer: -61.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -6. Let b be x\/(-10) - 26\/(-10). Calculate the highest common divisor of b and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**4 - l**3 + l**2 - l. Let s(u) = -12*u**4 + 7*u**3 + 2*u**2 - 7*u. Let x(m) = 5*c(m) - s(m). Find q such that x(q) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 169 - 81)*(1 - 4 + 1)*(6*k**2 + 2*k**2 + 7*k**2)*(-16*k - 5*k**3 + 16*k).\nAnswer: 750*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j*n**4 - 15*j*n**3 + j*n + 10*n**4 - n**3 + 10013*n**2 - 2 wrt n.\nAnswer: 96*j*n - 90*j + 240*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (179 + -3)*((-2)\/(-10) + 792\/(-43560))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5005 or -5000?\nAnswer: -5005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -347703 (base 10) to base 11.\nAnswer: -218264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3 and ((-2)\/(-12))\/(78\/116).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/8, -2\/3, 33, -4\/7, -3.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g. Let x(r) be the first derivative of r**5\/30 - r**3\/3 - 10. Let d(t) be the third derivative of x(t). What is d(w(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 687807328 divided by -3306766?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v + 343214 - 343502. What is the remainder when -8*(1 + (-194)\/4) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 63 = a - k, -4*a + k + 73 = 0. Suppose -4*w = -j - a, -2*w - 4*j = 1 - 5. Solve -3*g = -w + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1965125 - 2?\nAnswer: -1965127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 723253.916 to the nearest one thousand.\nAnswer: 723000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/107 - 56\/2889. Let d = 28 + -33. What is the nearest to -0.2 in 0.1, k, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2752 - 6*o + 6301 - 2716.\nAnswer: -6*o + 833","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19*6181\nAnswer: 117439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 2*b - 17*b + b + 6 + 14*b as i + w*b and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452593.\nAnswer: 499, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttssdpuudjuttutp. What is prob of sequence spj?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 128873*n**2 + 424*n - 843. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238*b**4 - 175*b**3 + 3282*b**2?\nAnswer: 5712*b - 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-6 + 12)) + (1 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-47 - -52) + (-28)\/6. Sort b, -2\/13, 0.009.\nAnswer: -2\/13, 0.009, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(104) - sqrt(104)))\/sqrt(8).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -48, -58, -72, -90, -112?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 555, 2257, 5117, 9153, 14383, 20825, 28497, 37417?\n\"Answer: 3*k**3 + 561*k**2 - 2*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 61*z - z**2 + 7*z**2 - 4*z**2 in the form f*z + i + p*z**2 and give f.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6*q = 3*r - 7, 4*q = 3*r + 13. Suppose -2*j = -h - q, -2*h - 18*j + 20*j = 0. Solve 0 = h*v - c - 3*c + 20, 2*v + 3*c = 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**7\/420 - j**4\/24 + j**3\/3 - 4*j**2. Let n(r) be the first derivative of g(r). Determine n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p**3 + 13*p**3 - 7*p**3)*(-2 + 0 + 4).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27825\/8 or 3478?\nAnswer: 3478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**7\/42 - 14*o**5\/15 - 392*o**3\/3 + 599*o**2. Differentiate f(p) wrt p.\nAnswer: -20*p**3 - 112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by -3?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0003 - -289.9997. Let l = p + -290.00000123. What is l rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {x: 1, k: 1, h: 9, w: 5, i: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 13 - (1 + -1) - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1104, -2210, -3316, -4422, -5528, -6634?\nAnswer: -7740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*11.1\nAnswer: -0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.2 + 0. Let v = x + -8. Let z = 0.2 + -0.7. Which is the biggest value? (a) -3 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 135*p - 140*p, -k - 2*p = 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 555118*w**4 + 181062*w**2 wrt w?\nAnswer: 13322832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 143*r + 100*r.\nAnswer: 236*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1858*c - 2 = 1859*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(117) + -1)*6)**2*-3 - ((sqrt(39)\/sqrt(3) - sqrt(13)) + 1 + 2 + (0 + 5 + sqrt(52))**2).\nAnswer: -14444 + 2572*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 98\/2 - 23\/((-46)\/4). Calculate the greatest common divisor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 206428 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*d + 8, 2104*d = 2101*d + 13*x + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(3 - 2)*-2. Put -5, k, 5 in decreasing order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*g**3*z**5 - 2*g**3*z**3 + 10*g**3*z + 4*g**2*z wrt z?\nAnswer: -480*g**3*z**3 - 12*g**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1077, 1034, 991, 948, 905?\n\"Answer: -43*b + 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j + 401*j**2 - 794*j**2 + 399*j**2 + 11 + 4*j - j**3 - 3. Suppose -3*p + 3*f - 1 = -37, -f = 0. Suppose 0 = 5*o - 3*o - p. Give i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 89. What is the remainder when 81 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/14)\/((-36)\/(-28)). Let u = x + 133\/72. Suppose -2*l + 7*l + 2*g - 17 = 0, 5*g = -l + 8. What is the closest to 1 in l, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/120 - u**4\/24 + 2*u**3 - 4*u**2. Let x be k(0). Let y be 49 - (0 + 1)*1. What is the greatest common factor of x and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**2 + 5*m - 20. Let g be i(1). Solve -4*f - 16 = 0, 3*d - 4 = -5*f + g*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -31. Let n be ((-1)\/(-15))\/(b\/2). Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 36. Suppose 5*t + 312 = h*t. Calculate the highest common factor of 26 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2\/3, 14, -26, 5, 2, -20.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 3*z)*(29*z**4 + 4 - 4) - 1 - 3*z**5 - 1 + z**5.\nAnswer: 56*z**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 6. Let t be l(-1). Solve -8*d = -10*d + t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 19 = -2*b, 2*b - s = -1 - 12. Let q = b + 7. Calculate the remainder when (-4 + q)*74\/(-8) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1*sqrt(104) + sqrt(104)) + ((-1*sqrt(104) - sqrt(104)) + sqrt(104))*-1)*1)\/(sqrt(72)\/sqrt(144) - -6*(sqrt(8)*-3 - sqrt(8))).\nAnswer: -4*sqrt(13)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*(sqrt(108) - 3*(sqrt(108) + 0)) + sqrt(108) + 2*(sqrt(108) + 2 + sqrt(108)) + sqrt(108) + -1) + 3)**2.\nAnswer: -2880*sqrt(3) + 27873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262555 is divided by 5662?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/9 + 1238*v**2\/9 + 208270*v\/9 + 5047450\/9 = 0. Calculate v.\nAnswer: -295, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 >= 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -258119179 divided by -6\nAnswer: 258119179\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:01 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 20*u + 116. Let i be v(-8). Let q be (-12 - -7) + 1*i. Is -49 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/((-33)\/165).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 4*x - 16, -4*x + 165 = 4*f + 153 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + l = -7737, -73*l + 5 = -74*l. List the prime factors of z.\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-3 - (-426410)\/15) + (-10)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2294, -2298, -2302?\nAnswer: -2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 57\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 17 = -7*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*c - 6*c + 9*c - 9 wrt c.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 204\/(-17) - (4 + -26 - -10). Is -22\/3131 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12506 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**19*(p*p*p**(-39)\/p)\/p assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l**2 + 19 + 11*l**2 + 5*l + l**3 - 6*l**2 - 33*l**2. Let z be h(19). Calculate the remainder when (-1)\/((-2)\/z)*(-33)\/(-33) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 * 0.2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -18*a + 19. Give p(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 549 - -6124. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195942+-1.13\nAnswer: 195940.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1)*(5*w + 8 - 8)*(0 - 3*w + 0) in the form v*w + k*w**2 + u and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -53*k**3 - 10*k**2 + 22*k + 2. Let t(s) = -53*s**3 - 12*s**2 + 26*s + 4. Give -6*q(h) + 5*t(h).\nAnswer: 53*h**3 - 2*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*k + 1193 = 1178, 0 = -4*y + 4*k - 44 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 - 123 = -2*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - 3*l - 1 + 1 + 2*l + (-10 + 5 + 3)*(5*l + 0*l - 3*l) + 37 + 30*l - 37)*(-2*l + 3*l**2 + 2*l).\nAnswer: 81*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtmjtttjjtttt. Give prob of picking 4 j.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -750?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 0.3 (c) -0.3 (d) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 584024?\nAnswer: 584024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 - (4 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 + -17)\/2091*-629?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/200)\/(342\/10260).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2 + 4)*7\/21*5\/2 and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 - 1230*a + 7257. Determine c(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + (-6 - (-9 + 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 108*s**2 + 5 + 3 + 1.\nAnswer: -108*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*r + 4*x - 2, -2*r + 2 = -2*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2204663.\nAnswer: 220466.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 65 - 115. Let p be (-5)\/(g\/(-18)) + -1. What is the nearest to 2 in p, 1\/20, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7 + 15 - 17 - 25 - 26*q**2. Let t(f) = 9*f**2 + 12. Let g(h) = 6*l(h) + 17*t(h). Let b(n) = 2*n. Determine b(g(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 10 = 3*d. Suppose -d*l + 24 = -5*l. Let r = -5 - l. Is 5 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1855)\/(-106))\/(-35))\/((-47)\/(-8)*-2)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {y: 1, i: 1, h: 2, l: 5, q: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, f: 6}. What is prob of sequence ff?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100054 divided by 2.\nAnswer: -50027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/2 + (-2)\/(-4). Suppose 5 = 3*l - q. Suppose -3*t - l + 0 = 0, 3*f - 86 = 4*t. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25, 138, 253, 370, 489, 610, 733?\n\"Answer: r**2 + 110*r - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 + 3*z + 2. Let y be t(0). Find the second derivative of 16 + 13*u**y - 20*u - 16 wrt u.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 12*z - 169. Let d be x(35). Let f be (-2)\/15 + (-4 - (-9602)\/15). Is f < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233212 (base 4) to base 10.\nAnswer: -3046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(-4))\/d))**34\/((d**11*d)\/(d\/(d**(-4\/5)*d*d*d)*d)) assuming d is positive.\nAnswer: d**(-571\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -76851, -76855, -76859, -76863, -76867, -76871?\n\"Answer: -4*s - 76847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*((-2)\/4 - -1). Let a = 25 + -17. Let p be a\/6 - (-22)\/33. Calculate the highest common factor of p and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 0.5 (b) -2\/11 (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 4*f - 12, -5*t + 18*f - 19*f - 24 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 22 - 10 = 0. Suppose -4*t = -y*t. Factor 1\/4*p + t + 3\/4*p**2 + 3\/4*p**3 + 1\/4*p**4.\nAnswer: p*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2 - 10*f**3 + 8*f**4 + 10*f**3 + 9*f**3 - 2*f + 5*f**3 = 0. Calculate f.\nAnswer: -2, -1\/4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*i + 28, 22 = 3*i - i + 4*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 6:05 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -5, 1, -1\/3, 0.04 in increasing order.\nAnswer: -5, -1\/3, 0.04, 0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 11. Let t be n(7). Suppose -2*v + 69 = -3*p - 3, 5*v - 158 = 2*p. Suppose v = t*l - 34. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 2\/17, -7\/4, -1.71, 134?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3807 + -3798.8. Which is the nearest to 2\/5? (a) -4 (b) -2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127417.\nAnswer: 47, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnkvigg. Give prob of sequence gpv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 + 4*t**3 + 0*t**3 + (2*t - 3*t + 3*t)*(-4*t - 2*t**2 + 4*t) - 2*t**2 + 2*t**2 - 2*t**3 + 2*t**3 - 4*t**3 + 3*t**3 - 2405*t**3 - 1784 + 1784.\nAnswer: -2409*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t - 22*t**2 + 8*t - 5*t**2 in the form d*t + p*t**2 + q and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -120, 1156, 3282, 6258, 10084?\n\"Answer: 425*v**2 + v - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 44*r**2 + 15*r + 52. What are the prime factors of m(-7)?\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19264 = -4*a - 141*k + 139*k, 3*a = 5*k + 14487. Calculate the highest common divisor of a and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m = -7*m - 0*m - 75. Solve -29 = 4*j + 3*p - 8, -m*p = 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 230\/(-280) - -2*1\/8. Suppose -t + 4*t = -3. Let x be (-1)\/t*(-1 + 2). Which is the biggest value? (a) 7 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2203 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4bb844 (base 14) to base 4\nAnswer: -21330021310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18180 divided by -3636?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13280 divided by -2?\nAnswer: 6640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/105*77\/(-297).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/56 and 71\/280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3427, 3440, 3467, 3514, 3587?\nAnswer: 3692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103600 and 61932080.\nAnswer: 309660400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + -1*sqrt(78))*-2 - sqrt(78)) + sqrt(78) + sqrt(78) + (sqrt(78) - sqrt(78)*-1*-6))\/(sqrt(12)\/sqrt(2)*1*3)*1.\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -12 (b) -0.033 (c) 292\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:37 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215610*i**4*x**2 - 146*i**2*x**2 + 320*i*x**2 wrt i.\nAnswer: -5174640*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 1850*z**2 - 5615*z - 7460.\nAnswer: 5*(z - 4)*(z + 1)*(z + 373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-195350)\/(-8) + 4\/(-16)*-1?\nAnswer: 24419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -15*s + 708. Let d = s + -37. Are d and 20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5071000 is divided by 202839?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -27 - (-7 - 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 37b (base 12) to base 9\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/11)\/s)\/s)\/s*s*s**5*s*(s\/(s*s**(-4)\/s))**(2\/25) assuming s is positive.\nAnswer: s**(232\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 4:06 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6*(-567)\/252*-2*36\/240?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5*(128\/(-20) + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26911.\nAnswer: 17, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -0.004412, -1, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 6796, -5, -2.\nAnswer: -5, -2, 0, 9, 6796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.232448338 rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162472 is divided by 27065.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-161)\/69)\/(4\/(-60)). Which is greater: 17 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.187504 rounded to one dp?\nAnswer: -137.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u + 12. Let l(w) = 5*w + 11. Suppose 0*s - 5*s - 15 = 0. Let y(r) = s*z(r) + 2*l(r). Differentiate y(d) wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-7 - -14 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 8. Let s be l(-4). Calculate the least common multiple of (s + -2)*10\/(-12) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 14) + 6 - (3 - -1 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76624404.\nAnswer: 2, 3, 683, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271 + 152.72. Round d to the nearest integer.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, 2, 3?\n\"Answer: x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:00 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -510*v**2 + 885*v + 1311. Let b(x) = 15*x**2 - 26*x - 38. Let w(q) = -69*b(q) - 2*s(q). Let a(t) = 5*t**2 - 8*t. What is 7*a(p) + 2*w(p)?\nAnswer: 5*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4*l = 51. Let o = -37 + l. Let u(z) = -8*z**2 + 2*z. Let x(v) = -105*v**2 + 27*v. Let b(d) = o*u(d) + 4*x(d). Let t(a) = a. What is b(t(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3294, 124, 9.\nAnswer: -3294, -5, -2, 9, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 5*m - 3*m + 4*m. Suppose -2*k - 2*k + 12 = 0. Let i(f) = -3*f**2 - k*f**2 + 4*f**2 + 5*f**2. Give r(i(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/5*(-22800)\/(-3990).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699001667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 15 = 15*d - 17*d, 0 = -5*h - 5*d + 50 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3687122993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -4.828.\nAnswer: -4.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 30*m - 340. Give c(10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l + 187*l - 846 = 79*l + 72*l for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.406 - -31.306. Let j be (-1)\/(-10)*8\/(-2). Let z = 0.2 - -0.8. What is the nearest to z in j, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264145*o**3 - 264134*o**3 + 2*o**2 - 2*o**2.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1126763 (base 8) to base 10\nAnswer: 306675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-3 + 6\/3). Suppose -f = m + 7. Let b = -7 - m. Solve b = r - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 + 12 = 12*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**2. Let a(l) be the third derivative of l**4\/24 - 9*l**2. Determine a(m(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 843\/3 - (7 - (-1 + 8 + 5)) and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 3\/5 (c) -0.2 (d) 0.352 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (12 + -2 - 5)) + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 551541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8749 minus 5?\nAnswer: -8754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-21)\/(5 - 2) - 4. Let d = 6397\/12 - 1075\/2. Calculate the common denominator of d and 5760\/(-600)*(n - 8\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350 divided by 30817\nAnswer: -350\/30817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 7*g - 8*g = 20, 0 = -4*s - 5*g + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 70306*j. Let p(y) = -2*y**2. Calculate r(p(x)).\nAnswer: -8*x**4 + 140612*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 9:47 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1358 + -1353. What is the nearest to -272 in 3, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 2*i**6\/15 - i**4\/3 - 4*i. What is the third derivative of j(g) wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281401 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 6*n + 5. Suppose -9 = 3*u - 4*k, 5*u = k - 6*k - 50. Let j be x(u). Calculate the least common multiple of j\/(-4)*(30 - 14) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163744*d**2 - 95254*d**2 - 68482*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 31230340?\nAnswer: 31230321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 825*x - 2967 - 4580 + 122 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/50*125\/(-50).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 96954, 96548, 96138, 95724?\n\"Answer: -2*f**2 - 400*f + 97356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 88 = -4*a, 2*a - 95 = 2*x - 135. What is the smallest common multiple of x and 3759?\nAnswer: 3759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 12:28 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 891929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309 - -490. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/63 of a week?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 924\/9*(0 - -3). Suppose -2*t + 3*p = -0*p + 159, -4*p - x = 4*t. Let w be (-64)\/t - 4\/26. What is the second biggest value in 5, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 129\/7 - 64\/(-112)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0076713 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 22*f**2 - 2*f - 1. Let k(g) = -g**2 - 3*g + 5. Let v be k(-4). Suppose 2*x = v - 3. List the prime factors of b(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 23. Let d be ((-6160)\/(-75))\/(-16) - 5*-1. What is the nearest to 0.1 in -0.4, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15914557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4311 and 2979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -41488252?\nAnswer: -41488253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) - sqrt(144)*-1)\/(sqrt(6)\/sqrt(192)).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 7 - 1. Suppose -11*r = -15*r - 4. Suppose c + 3*p + 24 = -2*c, -2*c + 5*p + 12 = 0. Sort c, r, g in descending order.\nAnswer: r, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 31\/5 (b) 2036 (c) -4 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088980 is divided by 264?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2180 + 2220. Solve o*d + 3 = 39*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1201 - 557. Let s = -642 + k. Let -3\/7*n**4 + 54\/7*n + 9\/7*n**s + 0 - 12\/7*n**3 = 0. Calculate n.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 458 - 449. Solve -2*h + 8*p - 3*p + 13 = 0, h - k = 5*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 979598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2372*r. Let b(j) = 38546*j**2 - 19276*j**2 - 19271*j**2. What is f(b(a))?\nAnswer: -2372*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -1) + (-657)\/(-3). Let v(w) = w**2 + w + 73. Let q be v(0). Let n = y - q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 25, 15137, -2 in descending order.\nAnswer: 15137, 25, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*p**3*s**3 - 6*p**3*s**2 - 6*p*s**2 + 2*p + 10*s**3 wrt p.\nAnswer: 72*p*s**3 - 36*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l. Let o(g) = 126082*g - 2. What is z(o(i))?\nAnswer: 1134738*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 456, 494, 558, 648, 764, 906, 1074?\n\"Answer: 13*d**2 - d + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20022, -20021, -20010, -19983, -19934, -19857, -19746?\nAnswer: -19595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/(-45))\/(2\/50). Let a(p) = p**2 - 5*p - 1. Let j be a(6). Calculate the highest common divisor of f and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 = n, -3*t - 1 = 3*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -12*b**3 + b + 1. Let z = 52 + -91. Let f = z - -62. Calculate the remainder when f is divided by j(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1046520\/300 - (-4)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddxdx. Give prob of sequence xddd.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -8. Suppose -2*f + d = -1. Let u = 645 - 641. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76)*-3 - sqrt(76))*1)\/(2*sqrt(256) + (sqrt(4) - (sqrt(4) + 2*sqrt(4)*6))).\nAnswer: -7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -1 + -28 + 16?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -168, -480, -942, -1554?\nAnswer: -2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-9\/2)*n**(1\/14) assuming n is positive.\nAnswer: n**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, j: 4}. What is prob of sequence cjc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/85 and 12\/5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 27, 53, 103, 183, 299, 457, 663?\n\"Answer: w**3 + 3*w**2 - 8*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6182 (base 10) to base 6\nAnswer: -44342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4940 and 152475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -442 by -26794.\nAnswer: 221\/13397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 501 + -186. Let l be (o\/60)\/((-6)\/(-8)). Suppose 5*a - l*a = -938. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = d + 19*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6966 and 34911?\nAnswer: 3002346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-4)*3\/(-2). Factor -n*o + o - 4*o**4 + 6*o**3 + 0*o**4 + 0*o.\nAnswer: -2*o*(o - 1)**2*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/4 - 1) + -6 + 251. Is s < 247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*g - 210 = -109*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -62. Is p less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35468, 131454, 291432, 515402, 803364, 1155318, 1571264?\nAnswer: 2051202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (390\/52)\/((-8)\/(-64)*4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53\/5 - -51\/5. Let v be (-34)\/(-6) + (-2)\/3. Sort v, 0.2, m in ascending order.\nAnswer: m, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s**(3\/5)*s)\/s))\/s)\/((s*s*s*s**(-5)*s*s*s)\/s))**(-2\/7))**13 assuming s is positive.\nAnswer: s**(78\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 371 + -396 - (5 + -69)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 - 33 = m - 6*h, 0 = 4*m - 2*h - 507 + 453 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159361*k + 4726*k**2 + 7904 - 159361*k with respect to k.\nAnswer: 9452*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001112 (base 3) to base 13.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177848052?\nAnswer: 2, 3, 23, 644377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moavmlmovmoa. Give prob of picking 2 m.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5 = a, p = 3*a - 2*p - 3. Let i(t) be the second derivative of -t**3\/3 + 41*t**2\/2 + 20*t. Let z be i(20). Sort a, -5, z in ascending order.\nAnswer: -5, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -0.08, -22, 0.5, 0.11?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3 + 1, -4*h - 2 = 5*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 + -3?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 64*v + 68.\nAnswer: -4*(v - 1)*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c + 1. Suppose 0 = 3*m - 2*w - 25, m + 3*m - 26 = -w. What is the least common multiple of f(1) and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1142996400 divided by 523350\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -370, -347, -308, -253, -182?\n\"Answer: 8*z**2 - z - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1291 + 2531. Let h = w + -736. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*x - 5 = 0, -4*n + x + 4*x = -32 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.503284 != -456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 2}. What is prob of sequence bxb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/6)\/(15\/(-60)). Which is the closest to 0.1? (a) -1 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*g + 39*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m**2. Suppose 2*u = f - 13, -5*f - 3*u = -5*u - 49. Let i(t) = 0*t**2 + f*t**2 - 5*t**2 + t**2. Calculate k(i(w)).\nAnswer: -200*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.43119 tonnes?\nAnswer: 3431190000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 18*w + 5 + 18*w. Is u(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/153?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4825, 4827, 4829?\nAnswer: 4831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104443010 (base 5) to base 7.\nAnswer: 3660622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 2, t: 3, s: 4, x: 2}. What is prob of sequence ts?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185850, -371668, -557486, -743304, -929122?\nAnswer: -1114940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvttfujjstutvf. Give prob of picking 2 t and 1 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -2*p**5\/5 + p**4\/6 + p**3 + 3*p**2 - p. Let t(i) = 17*i**3 - 4*i**2 - 13*i - 13. Calculate -13*a(g) - 6*t(g).\nAnswer: 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 + 4. Let b be (12\/8 + -2)*-14. Let v be b\/(-21) - 116\/(-6). What is the highest common divisor of v and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, b: 1, i: 4, c: 1, v: 1, t: 2}. Give prob of picking 1 v, 1 c, and 1 t.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2039 - 332359\/163. Which is the third biggest value? (a) 2 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74391, 74392, 74393, 74394?\n\"Answer: u + 74390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 85*m**3 - 9*m + 2*m - 168*m**3.\nAnswer: -253*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 6*q - 3. Let u be a(-4). Let o = -45 + 40.5. Let n = o - -4.9. What is the third smallest value in u, 1.4, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3 + 3. Let t be 3\/(q - 0) - -2. Find the third derivative of -2*h - t*h**3 + 2*h - h**2 + 4*h**3 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - k**2 - k**2)*(-2*k - 3*k + 3*k) - 11*k**3 + k**3 + 0*k**3 + 4*k**2 - 2*k**3 - 4*k**2.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 82?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.04933ms in minutes?\nAnswer: 0.0016841555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 19*m - 35. Let n be z(-3). What is the highest common divisor of n and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h + 4*h**2 - 3*h**2 + h**2 in the form s*h + g + d*h**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -3\/2, 0, 6, 4, 1627?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -258476 at most -1\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 37 and 132073.\nAnswer: 132110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/84 and (-2 - 2) + (-147062)\/(-34776).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00323 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -28*h - 23. Let a(p) be the first derivative of 111*p**2\/2 + 92*p + 28. Let z(u) = -2*a(u) - 9*o(u). Is z(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*m + 239, -4*q = -q + 5*m - 717. Suppose q + 121 = 8*v. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*i + o - 64, -314 = 5*i + 6880*o - 6884*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1129 divide 1167166951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9322824?\nAnswer: 2, 3, 7, 211, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*b + 1982 = -322 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2332550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 934725 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m + 6. Let s(n) = 18*n + 13. Let c(h) = 5*p(h) - 3*s(h). Let k(u) = -3*u - 3. Let x(b) = 4*c(b) - 11*k(b). Give x(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 1, j: 1, t: 7, s: 7}. Give prob of picking 1 l and 2 t.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11175, 22292, 33361, 44394, 55403?\n\"Answer: 2*s**3 - 36*s**2 + 11211*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 20 = 30. Let i be -1 - -40*(1 - 0). Calculate the common denominator of k\/3*i\/(-8) and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33102032100 (base 4) to base 7\nAnswer: 46025430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -237, -367, -505, -651, -805?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = f. Suppose 0 = -f*g + 2*g. Is g greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in -1\/3, 4, -1\/2, 48?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s. Let v be q(1). Suppose -3*c = -c - v. Let a = 2 - 1. Calculate the least common multiple of a and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.15 + -0.15. Which is the closest to 0? (a) q (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -162851, -162849, -162845, -162839, -162831, -162821?\n\"Answer: y**2 - y - 162851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 17821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-1) + (2 - 5). Let m(d) = 3*d**3 - 5*d**2 - 7*d + 12. Let j be m(n). What is the derivative of 479*a + 27 - j*a + 11 wrt a?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**5 - 99145*k**4 + 2476115*k**3 - 12180315*k**2 + 16932420*k = 0.\nAnswer: 0, 3, 19, 19804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-21 - 1)) + (2 - 12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 257. Let s = -172 + z. Calculate the remainder when 126 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*i + 134*i + 144*i = 129*i. Is -2\/21037 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 412*k**2 - 8189*k.\nAnswer: k*(k - 19)*(k + 431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o + 6*o**2 + 2*o**2 + 17*o + o**2.\nAnswer: 9*o**2 + 31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101760 divided by 530.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by 72.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d - 128. Let v be (18\/156)\/(d\/88). Sort 4\/3, -0.4, v, -1\/2.\nAnswer: -1\/2, -0.4, v, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooc. Give prob of sequence oo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 2747\/134)*2\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -7*m**3\/3 + 3*m**2\/2 + 3*m - 2. Let n(w) = 8*w**2 - 4*w - 4. Give 4*j(d) + 3*n(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1013*-0.3.\nAnswer: -303.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 99 = 4*f + 2*i, -19*i + 3 + 1 = 4*i - 19 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 - 625*z + 74 + 33.\nAnswer: -625*z - 402","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -140 + -8?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -245*p + 31. Is o(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(-3)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33407.77m in nanometers?\nAnswer: 33407770000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**2\/2 + 3*g - 6. Let p(c) = -2 + 0 - 3*c + 2*c. Suppose 0 = 4*l - 10*t + 5*t + 10, -2*l + 5*t = 0. What is l*p(f) - 4*j(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 596 + 5*u - 596 as s*u + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 1, -149.7?\nAnswer: -149.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s - 2924 = 61*s - 164*s for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 120898242 to the power of 1\/3, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 664.\nAnswer: -1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 3*h**5\/10 - 3*h**2 + 2*h. What is the derivative of k(z) wrt z?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214838 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**2 + 3*q - 1. Let l be k(4). Let a = l + 163. Calculate the highest common factor of 180 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -7a?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -49. Let b(j) = -j - 4. Let v be b(-6). Does 12 divide v + (-64)\/36 + 1533\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97905434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjwp when four letters picked without replacement from bjbjjbjbbjjwbpbb.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 51*w**2 - 273*w - 441.\nAnswer: -3*(w + 3)*(w + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168919329 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**6 + 16924*w**4 - 10*w**3 + 99718*w**2 + 3.\nAnswer: 240*w**3 + 406176*w - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 8*p - 18 to the form d*p + o and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -13121?\nAnswer: 3\/13121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-6 + 18)) + 12 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 7. Let m be (-2)\/(-2)*h\/1. What are the prime factors of 4 + m + -1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4*sqrt(304)*-1 + sqrt(304) - (sqrt(304) + 0 + -5 + (1*sqrt(304) + sqrt(304))*-3))*5*4)**2.\nAnswer: 57600*sqrt(19) + 518800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22202123 (base 4) in base 14?\nAnswer: 11a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2 + 0 + 2 - 5 + 6 - 2 - 2 + (5 - 5 - 1)*(-5 + 4 + 3) - 1 + 0 + 0)*(-3*i - 3*i + 4*i) + 3*i - 3*i + 2*i to the form o + l*i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 836760 in decreasing order.\nAnswer: 836760, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 4:58 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 5*h - 4. Let y be n(3). Suppose -2*r = -v + 125, 4*v + y*r - 238 = 2*v. Suppose 3*k = v + 38. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/215006 and 47?\nAnswer: 215006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50774561 to the nearest integer?\nAnswer: 7126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(5) + -4*sqrt(5)*2 + 3*sqrt(45).\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Let b(k) = -k. Let s(i) = 4*b(i) + r(i). Let t(l) = 9*l. Calculate t(s(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 359. Let y(n) = 148*n. Determine y(t(s)).\nAnswer: -296*s + 53132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -1869?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 57*o**2 + 4847*o + 175. Determine y(-85).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 114. Put o, -1\/3, 2\/13 in decreasing order.\nAnswer: 2\/13, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*o - 1249 - 2416 = 2566 - 683 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 3*y + 5. Let a be j(4). Let k = -8 + a. Let p = -1 - k. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**5 - 200*o**4 - 1360*o**3 - 2560*o**2.\nAnswer: -5*o**2*(o + 4)**2*(o + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(14) + sqrt(14)*-1)*6)\/((sqrt(16)\/sqrt(2))\/sqrt(4)) + -5.\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 1215.\nAnswer: 1215.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 11:27 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14908818107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 23*u - 20 = -18*u, 11 = -3*b + 4*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3, i + 3*i + t - 9 = 0. Suppose i*g = 4 - 14. Let r = g + 10. Solve 0 = -r*v + 20, 0*v - 4*v = -5*d - 41 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = -4*x, -5*m + 0*m - x = -11. Suppose -4*r + 449 + 835 = 3*p, -m*p = -r - 867. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -27*h. Let i(l) = -2*l + 8*l - 5*l - 2*l + 7*l. Determine w(i(y)).\nAnswer: -162*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:52 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffo when three letters picked without replacement from {o: 1, f: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2. Let l(w) = -21856720*w. Give l(a(c)).\nAnswer: 21856720*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130108 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-10)*(82\/42 + (-426)\/1491)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1344620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 2*d**2 + d. What is the tens digit of o(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.7296 litres in millilitres?\nAnswer: 162729.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.5. Let k = 96.2 - 96. Let x = q + k. Which is the second smallest value? (a) 0.5 (b) -1\/6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 184, 494, 956?\n\"Answer: 76*k**2 - 70*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57.98104 - 57.78. Let t = -0.2 + j. Round t to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 - 0.1. Let z = -2 + k. What is the biggest value in 0.4, 0.1, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 25*r**2 - 216009590*r - 86403840 = 0?\nAnswer: -2\/5, 8640384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 2. Let w be l + 11\/(3 - 2). Find the third derivative of 15*d**2 + 3*d**3 - w*d**3 - 14*d**2 wrt d.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 668852537 and 302?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -12. Let f be (3290000\/3 - 0)*p. Round f to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1352 + 1356. Let c(l) = l + 2. Let b be c(-2). Put f, b, -1 in ascending order.\nAnswer: -1, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3592*x - 2*x**2 - 3554*x + 10577*x - 3480*x.\nAnswer: -2*x**2 - 49*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20329 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n**3 + n + 4*n**3 + 6*n**3 + (n + 0*n + 0*n)*(-11*n**2 - 41*n**2 - 187*n**2) as p + q*n**3 + a*n + x*n**2 and give q.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q + 72. Let r be z(-9). Suppose r = -9*c - 7*c + 64. Suppose -o = c*o - 28685. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6344575 divided by 37\nAnswer: -171475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z**2 + 4*z + 3*z**2 + 6*z**2 + 1)*(3*z**2 - 3*z**2 + 2*z**3).\nAnswer: 2*z**5 + 8*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 183, 168, 139, 90, 15, -92, -237, -426?\n\"Answer: -a**3 - a**2 - 5*a + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = -15*m + 21*m. What is the remainder when 222 is divided by m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -442086, -442096, -442108, -442122, -442138?\n\"Answer: -j**2 - 7*j - 442078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/(-78) + (-1)\/(-3))\/(-5). Suppose v = 31*o - 13*o - 35226. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/64*-4*1\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 1 (c) -5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -954600 rounded to the nearest ten thousand?\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2555 and 5915?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*d + 395*d + 19*d + 985*d - 4 to v*d + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2 - 5*p - 3. Suppose -z - 5*n = -0*z + 13, 7 = -z - 2*n. Let r be o(z). Let i = 38 + r. Let y(g) = -g + 7. Determine y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 3*i**4 + 23 - 180*i**4 + 116*i**4 + 121*i**4 + (2*i**2 + i**2 - i**2)*(2 + i**2 - 2) as u*i + p*i**2 + l + k*i**4 + b*i**3 and give k.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 7*s**2 - 5*s + 24. Give y(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 25 (b) -4813 (c) 2\/7 (d) 1\/50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + h - 15. Let w be q(-5). Let p(b) = 514*b**2 - 6*b + 2 - 516*b**2 + 2*b. Let g(x) = -4*x**2 - 9*x + 3. Let y(s) = w*p(s) - 2*g(s). Factor y(i).\nAnswer: -2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/75)\/(6*(-5)\/3450).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-105))\/(14\/(-735)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300234 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101 + 10?\nAnswer: -1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4 and 49\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 775*g. Let w(k) = 38*k**2. What is v(w(n))?\nAnswer: 29450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 7*r + w = -1, -3*w - 63 = -350*r + 362*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.11, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/b**(-5\/7)*b**(-24)*b*b**13)**(-1\/49) assuming b is positive.\nAnswer: b**(23\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5011 + 5052. Sort o, -0.3, -8.\nAnswer: -8, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 73*m**2 - 1313*m - 22. What is j(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + sqrt(475) + sqrt(475) - (1 + sqrt(2736) + (sqrt(19) - (sqrt(19) - (sqrt(19) + sqrt(19) + 2*sqrt(19)))) + 5).\nAnswer: -6*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*d + 107 = 147*d + 623 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -677, -849, -999, -1121, -1209?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 18, 65, 162, 327, 578, 933?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -9. Let l = 23 + k. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 14*m**2 + 17*m + 76. What is the hundreds digit of j(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1247 and 688.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 691272 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/448*8 + 1220654\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 799*h**2 + 153*h + 153. Let q(s) = 21*s**2 + 4*s + 4. Let u(r) = -93*r - 1298. Let f be u(-14). Give f*x(i) - 153*q(i).\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 13*b + 9*b - 7512, 0 = -3*h - 2*b + 22578. Does 57 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31233592067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.8 + 19.7. Let s = 14.5 - w. What is the closest to -3\/7 in -0.3, s, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*p = -112*p - s + 8, 3*p - s + 6 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4815 + 4734 + (3 - -152).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -108*a. Let y(d) = 6*d**2. Determine y(b(m)).\nAnswer: 69984*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + -4 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -39014 at least as big as -39014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n + m, -n - 2*m - 6 = -2*n. Factor b + 33*b**2 + 2*b + n*b - 9 + 21*b**3.\nAnswer: 3*(b + 1)**2*(7*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9481965*n - 175. Let o be m(-5). What is o rounded to the nearest one million?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -571.2 - -573.2. What is the biggest value in 3, -56, -10, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 92*o = -9*o + 425 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -134545, -538142, -1210785, -2152474, -3363209, -4842990?\n\"Answer: -134523*b**2 - 28*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 6*v. Suppose j - 1037 = 4*g, -4*g - 2*j = -v*g + 1022. Let s = -158 - g. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Let z(a) = 1446*a**2. Calculate z(b(q)).\nAnswer: 5784*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 988*v + 7*v**2 - 520*v - 426*v.\nAnswer: 7*v**2 + 42*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/88*(-36)\/14*(-26)\/(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 2*m - 14, 2*i - 4*m + 8 = 0. Let x = i + -2. Let c = 71 + -63. Solve x*q - 4 = c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 11*b - 40*b)*(-1 + 1 + 1)*(-4*b**2 + 5*b**3 + 4*b**2).\nAnswer: -180*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.541527t in micrograms?\nAnswer: 4541527000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137745 or -137750?\nAnswer: -137750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -3\/7 (c) -3\/2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 5 + 0 - 3 + 4*y**4 - 11*y**4 as g*y**4 + k*y**2 + u + h*y + r*y**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -276 in -1, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 6. Let q(z) = -2*z**3 - z - 7. What is 5*j(p) - 4*q(p)?\nAnswer: -2*p**3 + 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -61, -220, -479, -844, -1321, -1916, -2635, -3484?\n\"Answer: -z**3 - 44*z**2 - 20*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z**5 + 0*z**6 - z**2 - 70 - z**3 + 0*z**4 - 67\/7*z**7 + 0*z. Find the third derivative of p(q) wrt q.\nAnswer: -8040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 36 + 2*j + 7*j - 4*j + 0*j.\nAnswer: -2*j + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 5. Let j(v) = -5*v**2 + 45*v + 82. Let d(r) = -j(r) + 2*l(r). Differentiate d(o) with respect to o.\nAnswer: -2*o - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) 1\/5 (c) 4 (d) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 n when four letters picked without replacement from ngnngggnnnnngmggnng?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-102)\/85*5\/(-44))\/((270\/(-55))\/(-9)). Factor -1\/4*s**3 + 1\/2*s**2 - 1\/2 + p*s.\nAnswer: -(s - 2)*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199 by -158.\nAnswer: 199\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33368 (base 9) to base 16.\nAnswer: -569f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**3\/6 + m**2 - 9*m. Let s be z(0). Is 20\/9 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -132. Which is greater: 10 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332052 a multiple of 413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-8)*2\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, g: 11, q: 2, s: 5}. What is prob of sequence ssz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 273117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 6. Suppose x - 32 + t = 0. Calculate the greatest common divisor of x and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.257 - -0.143. Suppose -5*x + 30 = -3*q, 4*x - 12 - 29 = -q. Suppose 0 = -y + 5*t - 15, 7*y = 3*y - 3*t + x. What is the closest to y in 4, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 101385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -257\/3. Let p be (-2)\/(-6) + (-5)\/6. What is the nearest to f in 0.5, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1662400062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420961 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Factor -12*o**2 + 18*o**3 + 4*o - l*o + 2*o**4 - 10*o**4.\nAnswer: -2*o*(o - 1)**2*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1. Let l(v) = -v**3 - 9*v**2 - 15*v + 1. Let m be l(-7). Let t be b(m). Solve 3 = 4*u - t*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 9*r**2 - 3*r + 4. Let n be w(-5). Let d(m) = -m**3 + 11*m**2 - 24*m + 5. Let q be d(9). Let k = q - n. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**3 + 2*k - 2. Let v be w(1). Let i = 168 + -169. Let p = -4 - -3.95. Which is the smallest value? (a) p (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 1\/2, -13.3, 1\/9, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -998, -2001, -3004, -4007, -5010?\nAnswer: -6013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 3 + 2 - 64*p**2.\nAnswer: -64*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4121 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.816 + -11.139. Let n = u - 0.045. Let i = 39 + n. What is the second biggest value in 0.14, i, 0.4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 7580?\nAnswer: 60640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -781 + 3349 - 179 + 2168 + 6*g - 4*g to o + b*g and give o.\nAnswer: 4557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 4*u - 8. Let f be l(-6). Let j(a) = 3*a**3 - 11*a**3 + 2*a**2 + f*a**2. Let n(m) = -m**3 + m**2. Give 2*j(t) - 14*n(t).\nAnswer: -2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0.3. Let t = -47 + 45. Let g be (t - (-92)\/52)\/(15\/10). What is the closest to 0.2 in u, -2\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.285964 weeks in microseconds?\nAnswer: 172951027200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.935 + -2.435. Which is the nearest to -2? (a) 9\/25 (b) -14 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppt when three letters picked without replacement from {p: 7, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 8286 + 9234. List the prime factors of l.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035.685 weeks in seconds?\nAnswer: 1231182288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 924 + -928. Suppose 5*p + 19 = u, 7*p = -u + 2*p - 11. Let g(s) = u*s**2 - 1 + 4*s - 4*s**2 + s**2. Give g(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(204)\/sqrt(108).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1322*w + 144152. What is h(109)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21998*o - 22187*o + 43902*o to h + u*o and give u.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4999202 and 2444?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351900223 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18741.\nAnswer: 3, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 13 = 2*g, -9*d + 3869 = -g + 3923 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:16 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.1531693 take away 1642?\nAnswer: -1623.8468307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-360)\/48*64\/12. Let c be ((-84)\/(-35))\/((-2)\/(r\/6)). What is the highest common divisor of c and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:44 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**5 + i**2 + 1. Suppose -4*x = -0 - 4. Let h(r) = 18 - r**2 + 4*r**2 - 19. Let c(v) = x*o(v) + h(v). What is the third derivative of c(b) wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.263336706 to three decimal places.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50299\/20856 - -5\/1896. Let s be ((-10303)\/18)\/((-2)\/(-50)). Let d = 14316 + s. Find the common denominator of d and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/6795 and 9\/320.\nAnswer: 434880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 35 = 3*w, -5*w + 4*g - 9 = -0*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*3*(sqrt(98) - 3*sqrt(98) - sqrt(98)) - (-4 + (sqrt(98)*-1 + sqrt(98) - sqrt(98)) - (-1*sqrt(98) + 3))).\nAnswer: 5 + 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (418 - 198 + 112)*(2*z**2 - z - 9*z**2 - z).\nAnswer: -2324*z**2 - 664*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000125 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + v. Suppose -5*z + 8*z - 3 = v. Let w(s) = s**3 + s**2 - 1. Let t(h) = -2*h**3 - 5*h**2 + 2*h + 3. Calculate z*t(r) + 3*w(r).\nAnswer: r**3 - 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1\/6, -182, -0.4, 81, -5 in descending order.\nAnswer: 81, 2\/5, -1\/6, -0.4, -5, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -111, -175, -239, -303, -367?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -686 + 985. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12287, -4, 5, -4113 in decreasing order.\nAnswer: 5, -4, -4113, -12287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-6)\/(-70))\/(123\/(-574)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 3:33 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9130151 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*p - 311*p - 277*p + 754*p + 175*p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.102 (c) 3\/4 (d) 3 (e) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 341.\nAnswer: 10\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3977853, -15911412, -35800677, -63645648, -99446325, -143202708?\n\"Answer: -3977853*w**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:39 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/7, -44\/9 in decreasing order.\nAnswer: 8, -2\/7, -44\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 33*o - 9. Let m be k(2). Let h = 59 - m. Suppose 0 = -4*w - 20, -h*w + 85 = j - 6*w. List the prime factors of j.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5975 = 9*b + 5813. What is the highest common divisor of 882 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1074798 and 55\/12354?\nAnswer: 1074798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12152512 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -16*g**2 + 0*g - 3*g**4 + 128 - 56\/3*g**3. Factor v(a).\nAnswer: -4*a*(a + 4)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:06 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}