diff --git "a/data/dm_maths/full_data_1/10503_11255.jsonl" "b/data/dm_maths/full_data_1/10503_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10503_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -2*b + 8 = 2*b. Let r be 5 + -2 + -2 + b. Let g(z) = r + 4*z**2 - 3. Let u(k) = -k. Determine g(u(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {e: 1, f: 3, j: 1, g: 1, y: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:41 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a, 0 = -4*w + 412*a - 411*a + 19. Put 2, 34, w, -4 in decreasing order.\nAnswer: 34, w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/15 + 21\/55. What is the closest to 30 in q, -5, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -132861.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (9 + -4 + 5 + -9 - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81 * 0.03.\nAnswer: -2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 414 - 412. What is the third smallest value in r, -2, 2\/41?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:53 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 + 15*n**3 - 69*n**2 - 351*n - 270 = 0. What is n?\nAnswer: -6, -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 2*z - 1. Let q be c(1). Suppose 4*u - 41 = 5*p, u + q*p + 13 = 42. Let k = 372 + -318. Calculate the remainder when k is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153)\/(-34)*(-8)\/36*(-5)\/((-30)\/(-312)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 96. Let k = g - -44. Differentiate -3*q**2 + 9*q**k - 2*q**2 + 4*q**2 + 3 wrt q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10*k + 3188 = -14*k, 5*k = 3*l - 1918. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 + 15 - (5 + -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 513, 2, -3 in increasing order.\nAnswer: -10, -4, -3, 2, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3053076 is divided by 763266.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -44, 75, 256, 505, 828?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*m**6 + 20*m**3 + 27*m**2 + 4 wrt m?\nAnswer: 1920*m**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 9 + 53)*(-u + u + 2*u)*(-5*u + 4*u + 0*u)*(3 + 1 - 2) + 4*u**2 - 4*u**2 + 2*u**2 to k*u**2 + r*u + l and give k.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, v: 1, b: 1, r: 1}. Give prob of picking 1 b and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13467*w**3 - 35175*w**2 - 4719*w + 43923 = 0.\nAnswer: -1, 121\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f**2)*(3*f - 3*f + 2*f)*(-1 - 10 + 7) + f + 8*f**3 - 13*f**3 + f.\nAnswer: -13*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*q - q + 1435 = 0, 3*d = -4*q - 861. Suppose 361 = -2*r - 3*i - 455, 0 = -5*r + i - 2074. Let h = d - r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(32\/(-58)) - (-13)\/52.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h. Suppose h = -3*w + 7 + 8. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 4*f + 4. Let x be (-7)\/21 - (-62)\/6. Let o be x*(-12)\/(-3)*1\/(-10). Sort 4, o, f in decreasing order.\nAnswer: 4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, 29\/1153, 4\/9, -1, 4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by 52\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {x: 2, k: 6, f: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 1734, 5794, 13688, 26694, 46090?\nAnswer: 73154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 65. Let b = 104 + u. What are the prime factors of b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:17 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v + 5. Solve r + 4 = -3*l, 0 = -2*r + v*r - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455 (base 9) to base 15.\nAnswer: 19e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:33 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1900) + -5 + sqrt(1900))**2.\nAnswer: -120*sqrt(19) + 7609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 5*y - 2. Let m be f(-7). Suppose u + 0*u - m = 0. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*q + 1344, 3*q = 5*p - p - 1827. Suppose -3*g - p = -6*g. List the prime factors of g.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2422 is divided by 962?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - 1*sqrt(209)*-5) + sqrt(209) - sqrt(209) - sqrt(209)) + sqrt(209) - sqrt(209))\/(sqrt(11) + (-4*sqrt(891) - sqrt(11)) + sqrt(11)).\nAnswer: -sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/480)\/((1\/((-945)\/(-18)))\/6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*z - 244*z + 56*z + 1071 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462 by 7.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 18 + 9*v - 10 + 0*v + 8*v**2. Let m be t(9). Suppose c - 2*g = 19, g - 3*g = -m. What is the highest common divisor of c and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -7 in increasing order.\nAnswer: -7, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 497*g - 2190*g**3 + 19*g**2 - 20*g**2 + 2191*g**3 - 1 as r + h*g + j*g**2 + w*g**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/1909?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*z - 5*z - 26, -4*u - z - 9 = 0. Suppose 3*b - 10 - 2 = 0. Let y(h) = b*h - 4*h + h. Determine y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 18, 20910 in increasing order.\nAnswer: -0.2, 18, 20910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691933?\nAnswer: 11, 62903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 17*q**2 - 21*q + 55. Let a be h(19). Do a and 379 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 115021769 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {d: 7, y: 5, c: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r = -16. Let t(l) = -l**3 + 4*l**2 + 5*l - 5. Suppose -4*s - 6*f = -f - 9, 9 = -3*f. What is the remainder when t(r) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(3))**2 - sqrt(3)) + 2 - (sqrt(75) + -2)**2)*-1.\nAnswer: -23*sqrt(3) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -295 + 0?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 1258440*k - 13842598.\nAnswer: -2*(k + 11)*(k + 629209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -352.3 + -55373\nAnswer: -55725.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -1 + -3 - (7 - 1). Sort -39, -4, 6, x.\nAnswer: -39, x, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(4\/(-2))*(-42)\/(-140).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 14 = -3*i. Let o be 6\/(1 + 2 + -1) - i. Let x be (-3)\/((-2*(-2)\/o)\/1). Solve 2*p + 5 = -x*s, -p = 5*s + 2*p + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-1 + 4\/(-7380)*-1851). Round o to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/34 - (-13563)\/(-1683)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -74577924\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -385075000 rounded to the nearest 1000000?\nAnswer: -385000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvfb. Give prob of picking 1 b, 1 v, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -12801*t**2\/2 - 5*t - 192. Let g = -14 + 9. Let i be o(g). What is i rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 8*d - 7*d as u + h*d and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0 - -9) + 35)*6. Suppose -4*m = -4*q + 166 + 50, -5*q + 2*m + w = 0. What is the remainder when q is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 17*w - 826 = 0. Let g = w + 194. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-33\/4))\/((o**36*o*o)\/o) assuming o is positive.\nAnswer: o**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 477 and -2.\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 = -9. Let x be 3 + 19 - l - 3. Suppose -85 = d - 6*d. Calculate the greatest common divisor of x and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from peeppppeeppepp.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2654.\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -1.8004?\nAnswer: 8.8004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-32))\/((-1)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4525, -2007, -8541, -15077?\nAnswer: -21615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 4:44 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 16335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6 and (28\/(63140\/(-143)))\/((-69)\/12 - 1).\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/23291 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 3*o**2 + 2. Is d(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1206571 - 17354.95.\nAnswer: -1223925.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - v = -1451, 0 = 2*p + 42*v - 38*v + 1446. Let f = 741 + p. Solve 31 - f = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 2*h - 577, -2*y = -h - 1145. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.7 - 2.8. Let n = 6.1 + g. Is 0 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 1a?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m + 908 = 3*l + 841, 5*m + 7*l = -97 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -3*u - 12, -10*u + 14*u = 4*h + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.2. Let w = h - -1.1. Let m be ((-19)\/114)\/(2\/4). Which is the biggest value? (a) -0.5 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12482 - 4537. What are the prime factors of n?\nAnswer: 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2637 is divided by 866?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 25 - 9685*g**2 - 22.\nAnswer: -9685*g**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 90*j + 285. Calculate v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 37, 72, 123, 196?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(0 - (-3 + 2)). Let h = -10 - a. Solve -5*p - 56 = 5*r - 11, h*p - 3*r = -8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7197.378ml to litres.\nAnswer: 7.197378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 2 + 6*g - 2*g + g**3 + 2*g**2 - 3*g. Let w be l(-2). Suppose m + 4 = 5*p + 5*m, -4*m + 4 = w. Solve -4 + p = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*q - 261. Suppose s - 3*h = -2, 2*h - 10 = -s - h. Suppose 3*j - 26 = -2*y, s*j - y - 2*y = 63. What is the remainder when q is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/25 + (-6)\/(-10). Solve -3*p - 2*r + 2 - q = 0, 0 = 5*r + 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 12, -p = 2*v + 2*p - 3. Let f = 13 + v. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvi when three letters picked without replacement from biivwiwiiibiwiii.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 5. Let r = -1 - -4. Let v = -6 + r. Let i(b) = -b**3 - 3*b**2 + b - 1. Let q be i(v). Let x(y) = -y + 6. Give q*t(w) - 3*x(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3844171?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 7*z - 5. Let u be b(-5). Let m = 11 - u. Solve -3*f - c + m = -4, -2*f = 3*c - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6234114 (base 7) to base 16\nAnswer: b6a6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1634*s - 1182*s = 36608 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.6523km in nanometers?\nAnswer: 277652300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, 15 in increasing order.\nAnswer: -1, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85672588.\nAnswer: 2, 17, 727, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 230 = -2*m, -5*m = -3 - 7. Let r = -4 - -6. Suppose 4*p - r*x = 4 + 38, -2*p + 31 = x. Calculate the greatest common factor of h and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/316)\/(13890\/(-926)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 3 - (4 + -10)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 9. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.58039t in grams?\nAnswer: 57580390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**3 + s**2 + 5. Let g(w) = -w**3 - 1. What is 5*g(v) + n(v)?\nAnswer: -13*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.08 or 1.8?\nAnswer: -6.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004518 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8298 - 7*y**2 - 8298.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (61 - 35) - (4 + -2)) + 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2431256439?\nAnswer: 3, 53, 2593, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:51 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/4*335\/180 and 139\/252.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 6, u: 4}. Give prob of sequence zcc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 12*l - 4*n + 24, -2*l = -2*n + 6. Let t(p) = -3 - 5 + 7. Let o(s) = 4*s - 5. Let r(g) = -o(g) + 4*t(g). Give r(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*t + 15. Suppose 0 = 2*v + 1 - t. Suppose 60 = v*x - 20. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(126)\/sqrt(3) - sqrt(42))\/(sqrt(12) + sqrt(12)*-1 + sqrt(12)))\/(sqrt(7) - 3*sqrt(175) - (sqrt(7) - (sqrt(70)*2 - sqrt(70))\/sqrt(10))).\nAnswer: -3*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 646176 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - 2*t**4 + 6*t**4 + (7 - 2 - 3)*(-3*t**4 + 0*t**4 + 5*t**4) + 2*t**4 + 3*t**4 + 3*t**4.\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 8 = -3*d, 635*d - 1313 = f + 417*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n + 51*n - 88*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-20) + (-7 - 266\/(-35))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 997 (c) 273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**3 + 4. Let z(o) = 1. Give -q(f) + 4*z(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2\/5, -2, -53, -204, -1\/7, 51?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10652, 21365, 32078?\nAnswer: 42791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3324 and 144684.\nAnswer: 40077468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064 * -5.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/16)\/(69\/138))\/(243\/(-108)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, o: 1, g: 1, m: 4, s: 4, a: 4}. What is prob of picking 1 g, 2 k, and 1 m?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from {l: 4, u: 3, d: 2, v: 1, o: 9}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -1.9, -0.03543, 3, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 11958. Let o be c(0). Let f = 22091 + o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 359 - 313. What is the greatest common divisor of q and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -6 (b) 1 (c) 706520\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/6)\/5*-314. Find the common denominator of -15*(v\/(-162) - 3) and -27\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) -0.2 (b) -2\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16591, -16593, -16595?\nAnswer: -16597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -212622, -427415, -642208, -857001?\n\"Answer: -214793*r + 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/3)*p*p\/(p*p\/(p*p**(1\/5))*p)*p*p)**(1\/6))**15)**(5\/2) assuming p is positive.\nAnswer: p**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156321 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: What is prob of picking 1 k and 1 n when two letters picked without replacement from {n: 2, x: 3, k: 4, l: 1, p: 7, t: 1}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -911*z + 20. Let h(u) = 939*u - 23. What is -5*f(c) - 4*h(c)?\nAnswer: 799*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 11*j**2 - 6*j + 65. Give a(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -17. Suppose u = -t*u. Solve i + u*i + 17 = 4*g, 5*g - 16 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-36*m - 947891*m**2 - 8*m + 947898*m**2).\nAnswer: -7*m**2 + 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -3, -1\/8, -17.9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = 5. Suppose -2*b = 2*i + 3950, -z*i = -5*b + 2068 + 7767. Let k = -21732\/11 - i. Calculate the common denominator of -69\/16 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.3, 1, -8445?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6156.963mm in centimeters?\nAnswer: 615.6963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 90\/(-9) + 6\/(-2 + 4). Which is smaller: -130\/17 or q?\nAnswer: -130\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.75+-97.8\nAnswer: -118.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -639, 0, -1, -4, -5, 2\/321?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.73 + -0.27. What is the third biggest value in i, 1\/4, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5720)\/1170)\/((11\/11)\/9)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 3*n - 11 + 33, 4*a + 12*n - 200 = 3*a + 46*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1013000 (base 4) to base 16\nAnswer: 11c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.01 + 0.01. Which is the second smallest value? (a) f (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08625 + 9179.\nAnswer: 9178.91375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-24))\/(813\/2168)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112601132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653?\nAnswer: 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrebrbeb. Give prob of sequence er.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812 + 336 - 4998*z + 476 - 4293*z.\nAnswer: -9291*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 3*q - 18, -5*h + 10 = 5*q. Let x(m) = m**2 - 2*m + 3. Let a be x(3). What is the units digit of (a\/(-4))\/(h\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 74?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 3. Let g(p) = -p**2 - 14*p + 119. Let q be g(6). Give v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (410\/(-2))\/5 - 3. What is the least common multiple of 14 and v*((-4)\/4 + -1)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/136 and -81\/92?\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a + 21 = 52. Let f be 488\/(-48)*3 + (-1 - a). Which is bigger: -33 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*o - 17 = 0, 2*l + 10 = 3*l + 5*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12048915 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/210)\/(1\/(-9))*6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:14 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.163 - 0.863. Let d = 2 + -2. What is the closest to 2\/5 in d, s, -3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -36. Let d = 10799 - 97189\/9. What is the nearest to 1 in x, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 6*s - 4*s - 12, -3*f = -2*s. Let r(q) = -q + 7*q - 2*q + 10*q**2 + f. What is the remainder when r(-3) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 12931680*a - 12931680*a.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001148529 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/4 - 4*r**3\/3 - 2*r + 29. Let t be (5 - 1)\/(-8)*(3 + 3). Give p(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 - 12220*o**2 - 1476077*o - 1463858 = 0.\nAnswer: -12098, -121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 + 474*d**4 - 10323*d**3 - 726516*d**2.\nAnswer: -3*d**2*(d - 93)**2*(d + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/19? (a) -2 (b) -2\/3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27445, 55221, 82997, 110773, 138549?\nAnswer: 166325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -549, -564, -615, -702, -825, -984?\n\"Answer: -18*i**2 + 39*i - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 3*d**2 - 26 + 4 + 198*d to the form f*d**2 + c + l*d and give l.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (3 - 13 - -23) - -6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 52 = -2*q, 0 = q - 3*i + 197 - 226. Suppose -s = -13 - 6. Calculate the remainder when s is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20132, 0.1, -4\/57, -2.\nAnswer: -2, -4\/57, -1\/20132, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x**4 + 0*x**5 + 13\/3*x**3 + 0*x**2 + 0*x - 4\/3*x**6 - 14. What is the third derivative of n(c) wrt c?\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**(-1\/12)*(p**2)**(1\/2)*(p*p**(2\/3))**30*(((p*p**(-8)\/p)\/p)\/p)\/(p\/p**(2\/19)) assuming p is positive.\nAnswer: p**(22841\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 20 - 375 - 4*u + 91 + 89 + 121.\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {r: 6, s: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4556146?\nAnswer: 2, 7, 325439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*j**2 - j**3 - 43*j + 185*j**2 - 92*j**2 + (-6*j**2 + 2*j**2 + 2*j**2)*(1 - 2*j - 1).\nAnswer: 3*j**3 - 2*j**2 - 43*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266297 is divided by 53256.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 28612480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 574.2653t?\nAnswer: 574265300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1178 and 23839?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 791*d - 46720. Give l(59).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -571 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 5*w + 135 - 2*w**2 + 6*w. Let m = 851 + -851. List the prime factors of r(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142967440?\nAnswer: 2, 5, 7, 11, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 6*x = -8*x - 39, 6*x - 45 = -177 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 10*d - 3. Let w be j(-9). Suppose w*t - 278 = 4*t. Let r = t - -330. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:26 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4049614.\nAnswer: 2, 47, 67, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532380931.\nAnswer: 4787, 320113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17674, 26345, 49884, 95725, 171302, 284049?\n\"Answer: 1239*d**3 - 2*d + 16437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 145. Let g = 579 - 604.3. Let k = g - p. Which is the second biggest value? (a) k (b) 4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + 4. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2642589338?\nAnswer: 2, 43, 30727783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 618517370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6546211.2 minutes to days.\nAnswer: 4545.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.022 + -6.8213\nAnswer: -6.7993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 - o**2\/2 + 5*o - 2. Let p be i(0). Let m(j) = -j + 7. Let y be m(4). Does y = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2174 - -2306. Calculate the remainder when 387 is divided by c.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*b - 52 + 39*b + 48 + 6 to h*b + l and give h.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqe when three letters picked without replacement from {x: 2, e: 8, q: 9}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 - 74. Suppose -5 = i - 0*i + 3*b, -3*i + a = -4*b. Let u(v) = v**3 - 4*v**2 - 4*v + 4. Calculate u(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/180 - 7*d**4\/72 + d**3\/3 + 402*d**2. Factor i(g).\nAnswer: (g - 6)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 788, 5662, 18676, 43898, 85396?\nAnswer: 147238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - -350. Let n = r + -278. Suppose 2*m = -3*m + n. What is the remainder when m is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(1*sqrt(7)) + -1)**2 + (5*sqrt(9)\/sqrt(3) + -2)**2.\nAnswer: -22*sqrt(3) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 110 = -3*r, -3*a = -4*r - 75 + 221. Solve 47*t - 28*t + r = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.3, 2, 6, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6813213400 to the nearest one million.\nAnswer: -6813000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24820432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 141, 559, 1253, 2223, 3469?\n\"Answer: 138*p**2 + 4*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1565\/17432?\nAnswer: -1565\/17432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {l: 2, k: 1, w: 2, b: 1, t: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591 = 4*h - 473. List the prime factors of h.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(14) + -5*sqrt(224))\/(sqrt(2) - sqrt(4)\/sqrt(2)*-3).\nAnswer: 57*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -10. Let j = -5545 + 116423\/21. Let y = j + 12\/7. Which is the nearest to 2\/5? (a) 1\/3 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145)\/(-58)*24\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18060 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/40 - 19*a**5\/60 - a**4\/8 + 8*a**3\/3 + 7355*a**2. Give s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 188608.4 weeks?\nAnswer: 1320258.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 8. Let p be y(6). Suppose -2*r = -p*r + 6. Let q = 41 - 36. Solve -r*j - 2*a + 19 = -0*j, q*j + 10 = 5*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u - 102 = 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.01 (b) 626 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 6\/7 (b) -1\/5 (c) 27 (d) -14.243 (e) 0 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 5 (c) -12 (d) -0.1 (e) 8\/7 (f) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44981856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 - (1 + -9 + (52 - 45))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/24 + (-1)\/(8\/(-82)). Let t = 17 - n. Suppose -123 = -t*b + 51. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*a**2 + 18*a**2 - 20*a**3 - 151*a**2 + 35*a**2.\nAnswer: -20*a**3 - 38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 4327*x - 2161*x - 2167*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, v: 1}. Give prob of picking 1 v and 2 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 10*p - 17. Give r(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqa when three letters picked without replacement from ejggeeqjejggeaqqeeq?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let t be ((-2)\/(-3))\/(7*(-2)\/(-84)). Suppose 7 = h + 4*o, 11 = t*h + 10*o - 11*o. Sort h, 5, d in decreasing order.\nAnswer: 5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-114)\/(-18) - 7)\/((-8)\/(-43)). Let p = -313\/84 - n. Which is the second biggest value? (a) 0.14 (b) -0.2 (c) -4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.4, 3, 0.2, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -98\/3. What is the nearest to n in 4, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 21 = -2*v + 3*q, 2*v + 2*q - 14 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 + 2 = 0. Let m = -26 + 50. Let g = m + -26. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110112210200012 (base 3) to base 10.\nAnswer: -6668654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/10 and -43\/2132.\nAnswer: 10660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from fbsxvbzx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*n - 1583875 = -394*n. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 + 8*h**2 + 2 - 5*h + h + 0*h**3 - 10 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f + 153. Determine i(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8 - 4 + 89*d - 2*d + 1. Let z(c) = 173*c - 22. Let n(i) = -5*k(i) + 3*z(i). Is n(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27196 + -27437.696. Let u = z - -4.026. Let m = u + 236. What is m rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8408591 - 20\nAnswer: 8408571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2 + 4*b - 5*b + 4. Let a = 55 - 61. What is q(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlxuoxuxoozzsxuuooss. What is prob of picking 2 u, 1 o, and 1 z?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -11522530302?\nAnswer: 11522530302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167136, 668561, 1504270, 2674263, 4178540?\nAnswer: 6017101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o + 17*o = 8*o + 432. Solve 5*t + 4*h = -4, 4*t + 14*h = o*h - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 639372, 639323, 639232, 639099?\n\"Answer: -21*v**2 + 14*v + 639379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 52*p + 23. Let h be f(-8). Let w be (h\/(-2))\/(30\/40). Let x = w + -55. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36489661?\nAnswer: 13, 23, 122039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 12, l: 3}. Give prob of picking 1 l and 1 a.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*24\/(-66)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 0, 5, 29843, 1\/6, -0.04 in ascending order.\nAnswer: -0.04, 0, 0.03, 1\/6, 5, 29843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/528*-976*-1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 - 272*a**2 + 41*a + 2716. Give v(-68).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 11*b**2 + 9*b - 2. Let g be q(-10). Suppose f - g*f + 140 = 0. Solve 0 = 5*t + 5*y - f, -3*y = 4*t - 19 + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*c + 1543*c - 493*c.\nAnswer: 356*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f**3 - 9*f**3 + 13*f**5 + (0*f**3 + 3*f**3 - 5*f**3)*(f**2 + 0*f + 0*f) + (-2 + 3 - 3)*(f - 4 + 4)*(f + 0*f + f)*(12*f**2 - 12*f**2 - 4*f**3).\nAnswer: 27*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 7:23 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-10)*(4 + 1). Suppose h*t = t. Suppose t = -4*y + y + l, 2*l - 7 = -y. Put -1, y, 0 in increasing order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**7\/168 + k**6\/60 + k**5\/80 - 10*k. Factor v(p).\nAnswer: p**3*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 137\/(-9) - (-20)\/90. Calculate the common denominator of 103\/24 and s\/35*131\/36.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11150123 - 5?\nAnswer: 11150114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + (sqrt(242) - (5*sqrt(242) + -3))))**2*4.\nAnswer: -4224*sqrt(2) + 62096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/2)\/p))**(13\/7)*(p\/((p**(2\/7)*p)\/p))**(1\/6))**(1\/25) assuming p is positive.\nAnswer: p**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c**2*p**2 - 15*c**2*y + 30*c*p**2*y + 13*c*p**2 + c*y wrt c.\nAnswer: -14*p**2 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*y - 18 = 0, -8*y - 115 = -155 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15730, -31462, -47194, -62926?\n\"Answer: -15732*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/175 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:15 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 53*v**2 - 19767*v - 747. Determine d(373).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/462 and -157\/577500.\nAnswer: 577500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -3*j - h - h, 2*j = -4*h + 92. Calculate the least common multiple of 40 and j.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(10\/5)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 + 49*d\/2 + 47.\nAnswer: (d + 2)*(d + 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 8. What is the fourth smallest value in g, -5\/4, -3\/4, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (3469995 + (-3)\/(-1))\/1. What is x rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 517*y**3 + 2139*y - 3527. What is the first derivative of u(d) wrt d?\nAnswer: 3102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t + 8. Let g(w) = 11*w - 13. Let l(p) = -5*g(p) - 8*q(p). Let f be l(13). Put -1, f, 1 in ascending order.\nAnswer: -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/30)\/(29\/(348\/56))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 10*b**4 + 42*b**3 - 112*b**2 - 24*b = 0.\nAnswer: -6, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1844531 (base 9) in base 13?\nAnswer: -2a24c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-7) - (-51398)\/5803. Let j(c) = -c**3 - c**2 - c. Let m(q) = 4*q**3 - 5*q**2 + 2*q - 8. Let l(r) = -3*j(r) - m(r). Calculate l(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 624*a + 9979. Determine z(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 609150 and 2842700.\nAnswer: 8528100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - 10. Let v be a(-8). Let k = 29 - v. Calculate the remainder when 57 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 15*u - 12. Let c be t(13). Suppose -c*z = -12*z - 7908. Suppose 0 = -5*q - 779 + z. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 6*s**2 + 3*s - 5. Let o be l(-5). What is the second derivative of -5*c**5 + 5*c**5 + 4*c**o - 3*c wrt c?\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.086*7\nAnswer: 0.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-3))\/(35\/7))\/(2\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -5, 3\/4.\nAnswer: -5, 2\/15, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 9*a**2 - 16*a + 6. Let o be v(-7). Let d = -14 + o. Let h(w) = -w. What is h(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1462283 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -8, 2 in descending order.\nAnswer: 6, 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-25))\/(83\/(2490\/(-36)))*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -107*r**3 - r**2 + 2*r + 40. Let f(c) = 534*c**3 + 6*c**2 - 11*c - 199. Let n(w) = 2*f(w) + 11*u(w). Find the third derivative of n(y) wrt y.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (1 + 0 - -12). What is the remainder when 4 + 4\/(-2) + 9 is divided by (d\/(-10))\/((-1)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -10.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -603468.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = 3*y + 2*u, 5*y - 4*u + 40 = 0. Let c = y - -8. Let t(r) = -r**3 - r + 3. Let j be t(0). Sort c, 6, j in descending order.\nAnswer: 6, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*w - 11 + 5*w**2 + 80 - 67 as n + u*w**2 + a*w and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904379 is divided by 153?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = 32. Let f = 245 + -237. Let u(m) = 22*m - 24*m - c + f. Let a(n) = -n + 25. Give u(a(b)).\nAnswer: 2*b - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28084.657*8.\nAnswer: -224677.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2449472 to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61659509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1773390?\nAnswer: -354678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166940, -333878, -500816, -667754, -834692, -1001630?\nAnswer: -1168568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1854788, -3709574, -5564360, -7419146, -9273932, -11128718?\nAnswer: -12983504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -10, 4, 26, -6, 93 in ascending order.\nAnswer: -10, -7, -6, 0, 4, 26, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1086 >= 42469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 10:55 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 513.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(3 + 0 + -4). Solve q = -k*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3951*i - 3963*i. Solve -i*m + 2143 = 2158 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3115 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*s - 536 + 893. Let d(w) = 15*w**2 + 9 + 2 + 6 - 17*w. Let z(l) = -5*l**2 + 6*l - 6. Give s*z(m) - 6*d(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -3*s**5\/2 - s**4\/4 + s**3\/3 + s**2 + 3*s. Let x be v(3). Let p be (x - -2)*-1 + 3. Round p to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 8*l**2 + 7*l + 4. Determine j(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*q + 40\/3 + 14\/3*q**2 - 2*q**3 = 0. What is q?\nAnswer: -2, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 11228, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0493 - -51.1493. Let h = -51 + r. What is the closest to h in -1, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70911772?\nAnswer: 2, 17727943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80119 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 3}. Give prob of sequence nt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = q + 7. Suppose p - 6 = -q*p. Suppose 3*t**p + 18 + 12*t + 4*t - 31*t = 0. What is t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {n: 1, p: 9, y: 4}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 5*v + 3. Suppose 10*h - 15*h - 545 = 0. Let d = h - -106. Let b be o(d). Solve 2*x + b*q - 5 = -3*q, 3*x = 2*q + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*f = 67 + 53, -4*f = 4. Let s = 2.7 - -0.3. What is the third biggest value in s, j, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eer when three letters picked without replacement from {g: 2, p: 1, k: 7, r: 2, e: 2, i: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -5680\/19 (c) -2 (d) 5 (e) 3\/2 (f) 4 (g) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*w**2\/7 - 78*w\/7 + 684\/7 = 0. Calculate w.\nAnswer: -19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -82. Suppose 0 = -4*t + 3*t + 11. Calculate the smallest common multiple of a and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 4*p + 7. Suppose 21 = -2*y + 3*c, 3*y - c + 0 = -21. Let a be u(y). Sort a, 4, -1 in descending order.\nAnswer: 4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -240\/13 + -53\/26. What is the common denominator of (-286)\/42 - 4\/(-6) and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1 + sqrt(117) + -5 + sqrt(117))**2.\nAnswer: -108*sqrt(13) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayyyyayyyayyyyyy. Give prob of picking 3 y.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 524318863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-eight sevenths of a week?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -6*p - 9. Let n(x) = -x**2 + 10*x + 121. Let v be n(p). Suppose -3\/2*i**3 - 21\/2*i**v - 27\/2 - 45\/2*i = 0. Calculate i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -11\/6*l**6 - 5 + 0*l**5 - 5*l**2 + 0*l + 0*l**4 + 0*l**3. Find the second derivative of q(y) wrt y.\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18603 - -18604. Sort -15, -3, d, 10, 2 in ascending order.\nAnswer: -15, -3, d, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*l**5 + l**4*u + 2*l**2 - 4*l - u wrt l.\nAnswer: 13860*l**2 + 24*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*w - 59*w - 173*w - 16*w + 3 in the form v + f*w and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27250 = -7*q + 16129. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inokitn. Give prob of sequence ok.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 270358?\nAnswer: 1351790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-22) + (-159)\/(-33). Let k(a) = s - 814*a**3 - a + a**2 - 1 + 5*a**2. Let g be k(4). Round g to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1022, 3851, 8496, 14951, 23210?\nAnswer: 33267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -159\/1540 and -36\/42725?\nAnswer: 13159300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/7 and -3\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2071017192 take away -100557?\nAnswer: -2070916635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -111.1. Which is the third biggest value? (a) m (b) -1 (c) -0.05 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 0, 4*o + 0*s - 5*s = 36. Let f be -1 + (-12)\/(o\/3). Let c(p) = -6*p + 3. Let z be c(f). What is the greatest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**1*p*p\/(p*p**(-11\/5)) assuming p is positive.\nAnswer: p**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -16 (b) 3\/5 (c) -4 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806228742?\nAnswer: 2, 3, 11, 37, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 6. Let z(c) = -c**2 - c + 1. Let k(r) = m(r) - 2*z(r). What is k(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/9 + 116\/(-36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 105 = 2*a. Let m = -177\/5 + a. Which is greater: 0.2 or m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5446, -21728, -48820, -86686, -135290?\nAnswer: -194596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 113.543 centuries?\nAnswer: 11.3543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 137500 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*u + u. Suppose 0 = -u*n + 15 - 3. Suppose 48 = n*q - 0*q. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a - 2*s + 8, -2*a - 5*s = -24. Let o = 13\/36 + -1\/9. Find z, given that o*z**a + z + 1 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 5) to base 2.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110419*a = -110424*a + 10, -56 = -2*o - 2*a for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 2*c = 2*x + 10 - 112, -98*c + 5392 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 9, 4, -177381?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/8, -5, 54\/425, 0.6 in ascending order.\nAnswer: -5, -3\/8, 54\/425, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 2*r**2 - 6*r + 6. Let u be z(3). Let o be -2 + 3*(-4)\/u. Let v be -1 - (1\/(-1) + 3). Is o bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209*b**3*i - 36*b**3 wrt i.\nAnswer: 209*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33689148 divided by 16844574?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -7*d**6\/120 + d**5\/30 - 7*d**4\/6 - 37*d**2. Find the second derivative of m(v) wrt v.\nAnswer: -42*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -2*u**7\/735 + 17*u**6\/105 - 64*u**5\/105 + 335*u**2 + 2. Suppose s(d) = 0. Calculate d.\nAnswer: 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/11 - 2048*k**3\/11 + 56178*k**2\/11 - 36468*k + 752976\/11 = 0. What is k?\nAnswer: 3, 7, 18, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 50 - (-201 + 162).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4.2. Let i be 0 + 3*(-3 + 8). Suppose z + 2*z + i = 0. Which is the smallest value? (a) 4\/3 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34, -26, -14, 2, 22, 46, 74?\n\"Answer: 2*t**2 + 2*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 255.8 and 34.6.\nAnswer: 8850.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151639 = -5*b - 110719. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852185 is divided by 40262?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*u - 12. Let y(c) = 3*c - 4. Let v be y(u). Suppose -5*w + 5*d = -145, w + v*d = -0*w + 59. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24469849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8, 24.7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.1273 or -35646?\nAnswer: -1.1273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -437 + 1112. Let f = -275 + g. Let r = f - 400.0227. What is r rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/93708 and 16\/1233?\nAnswer: 93708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let l = 18 - 15. Let c(g) be the third derivative of -2*g**2 + 0 + 0*g + 0*g**l + 1\/8*g**4. Give y(c(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/222 and -37\/429.\nAnswer: 31746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from zzmuuwjjuj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -46 + 21 + 22 + i. What is g(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 13*l**3\/3 + l**2\/2 + 2*l - 15. Let x be m(-1). Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -26759*b + 45. Is m(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122061 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13176 and 4087260.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-35))\/((-69)\/75 + 1). Suppose -3*w + 2132 = j*f, -4*w = -15*f + 16*f - 440. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 3*d + 2. Let k = -7 - -4. Let s(v) = -2*v**2 + 4*v - 3. Let b = -6 + 10. Suppose -b*r - 4*u + 8 = 0, 5*r + 19 = u + 5. Give k*j(l) + r*s(l).\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.122501035885 + -0.7\nAnswer: -1.822501035885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -27. Suppose -5 = -5*f + 20, -x = -y - 4*f. Suppose y = -2*r + 2 + 20. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 - 4 = 0. Let g = 69 + -71. Let t be (g + (-7)\/(-4))\/((-1)\/(-4)). What is the second biggest value in -4, t, a, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 + 40 - 7 - 131*x + x + 3*x - 2*x + 4*x - 2*x - x + (-2 + 4 - 1)*(2*x + x - 2*x).\nAnswer: -127*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 27*z**3 - 13*z**2 - 7*z. Let v(d) = 14*d**3 - 7*d**2 - 4*d. Let r(a) = -4*c(a) + 7*v(a). What is the third derivative of r(t) wrt t?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-882)\/135*2055\/(-274).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 2*u - 36488*o + 36487*o, -o = 4*u - 55 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6dc689 (base 14) in base 10?\nAnswer: 3760577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 663287.\nAnswer: 3\/663287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 6, 84 in increasing order.\nAnswer: 6, 46, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1044213 (base 5) to base 9.\nAnswer: -27558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000518743 rounded to 5 decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 39. Suppose 165 = 80*k - 155. Let g(v) = v + 40. Give k*g(m) + 5*x(m).\nAnswer: -m - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6769455 and 404409?\nAnswer: 155697465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -629936105*o**3 - 6470667*o**2 + 6?\nAnswer: -3779616630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51731 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r - 4*z + 27 = 0, -5*z + 6 = -3*r. Solve 0 = o + 2*m + r, 3 = o - 5*o - 5*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 5*b - 3*b**3 + 16 - 15*b**3 + 4*b**3 - 5.\nAnswer: -14*b**3 - 6*b**2 - 5*b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/5 + h**4\/12 + h**3\/6 - h**2\/2 + 2*h. Let k be n(1). Suppose -147 = -k*w - 32. Solve -5*s - w = -8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9276478 is divided by 206.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -258, -389?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158570 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/1*36*702\/(-3240).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 24 = -3*r, -3*u - r - 4*r = 29. Let c be (-21)\/u + -3 + 1. Solve -16 = -c*a + 2*p, -a + 14 = 4*p + p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004019 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72245.\nAnswer: 5, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 227 = 97 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (0 - -39 - 152510\/2020)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 3*h = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from ddaavplzl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1, 1\/4, 2\/3 in descending order.\nAnswer: 1, 2\/3, 1\/4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 3. Let s be k(6). Suppose 3 = s*j - 6. Sort j, -3, -1 in decreasing order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*o + 4*l + 425, 3*l - 2217 = -5*o. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/60 - 19*p**3\/3 - 584*p**2. Determine m(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = 6*q + 169. Suppose 138 = 3*y + q. Suppose 4*c + y = 3*z - 0*c, 4*z + 3*c = 72. What is the highest common factor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2179 = -5*f - t, 4*t + t = 2*f - 850. List the prime factors of f.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwlwwwwlw. What is prob of sequence ww?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 * 0.3.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31774 * -5.\nAnswer: 1.5887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 10*z - 6620. What is r(55)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2. Suppose -6 = -3*g + 3*s, -6 = 2*g - 7*g + 4*s. Let q(l) = -l. Let b(n) = n**2 - 3*n. Let r(i) = g*b(i) + 6*q(i). Determine r(t(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b. List the prime factors of (b - 2)\/(3\/(-18)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3226 divide 3216715572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 32*h + 29*h + 30*h - 90*h + 11. Let f be p(-8). Sort 0.4, f, 0.2, 7 in descending order.\nAnswer: 7, f, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3789*d + 1. What are the prime factors of k(2)?\nAnswer: 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -10. Let c = -19 + y. Let g be 6*((-6)\/c)\/(-1). Sort -5, g, 5 in descending order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*r - 408*r + 102*r + 103*r - 10*r**4 - 1 + 104*r to q + c*r + m*r**4 + h*r**2 + a*r**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 32. Let h = -16 + u. What is the remainder when 17 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -305*n + 524 with respect to n.\nAnswer: -305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 733, 1463, 2191, 2917, 3641?\n\"Answer: -a**2 + 733*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Let k = 61.8 + -53. Let p = k - 3.8. What is the nearest to -0.2 in p, -3\/2, v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/15 and (-102)\/63 - (5 - 5).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 2*m**2 - 4. Determine c(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/55 and -101\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/(-9)*(0 + -1) + (-91439)\/55205 and -19\/27.\nAnswer: 24435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2816 is divided by 1407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (12\/(-42) - (-6)\/21). Suppose -3*q = j*p - 2, 3*p = 4*p - 4*q - 12. Solve -p*m - 4*o = -5*o + 5, 4 = m + 5*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -35, -0.4, 19039, 0.2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -1*(-10)\/(-5). Let o(g) = 1. Let y(q) = -q - 1. Let w be 2262\/22 + (-8)\/(-44). Let a = 101 - w. Give a*y(f) + p*o(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/12 + 1\/3*22. Let b(x) = -x**2 + 5*x + 29. Let y be b(d). Which is bigger: y or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -o + 5. Suppose -73 = -4*n - o. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/4 or -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/821?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -514, -4216, -14324, -34060, -66646, -115304, -183256, -273724?\n\"Answer: -537*k**3 + 19*k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/182 + (-24)\/(-156). Let m = 0.14 - 0.14. Let a = m + 10. Is j < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2222 and 52074388?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - 2\/(-56). Let i = -2 - 2. Let w = 5683\/3 - 1895. Which is the closest to w? (a) j (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-48))\/2*(-38)\/494.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*p - 48*p - 17*p)*(-1 + 1 + 1)*(-6*p + 3*p + p) + 0 + 0 + p**2 + (-2 - 6 + 4)*(-3*p**2 - 3*p**2 + 5*p**2) + p**2 + 2*p**2 - 5*p**2.\nAnswer: 77*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*b - b - 4*b in the form f + y*b and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 + -5b?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**2 + 8 + 48*c - 15 - 20*c**2 - 44*c + 7.\nAnswer: -c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6)*2\/4*12. Let h(r) be the first derivative of 7 - 3\/2*r**6 + 0*r**4 + 0*r**2 + 0*r**5 + 0*r - r**s. What is the third derivative of h(w) wrt w?\nAnswer: -540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591800 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 7*g**2 + 3. Let l be n(7). Let a(w) = 24*w - 8. Let y be a(l). Let x = 112 - y. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -2*m**3\/3 + 39. Let i(h) be the second derivative of 2*h**3\/3 + 2*h. Give i(o(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 82. What is the common denominator of (-4)\/((-96)\/279) + -1 and -11*(-1)\/(-8)*(c - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1623847114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**3 - 39*l**2 - 46*l - 127. Determine w(-9).\nAnswer: 1502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-15))\/((4\/(-10))\/(408\/(-204)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*s**3*w*z + 16*s**3*z**3 + 17083*s**2*w**3*z**3 + 18*s**2*w*z**2 + 1999*s*w**3 wrt z.\nAnswer: 96*s**3 + 102498*s**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*a + 197*a + 33555808 + 1566513 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-179)\/(-2))\/(1\/(-2)). Let q = 359 + u. Suppose d = -4*d + q. What is the greatest common factor of d and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y - 12. Let o be n(-1). Solve 0 = o*z - 3 - 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 866 - 833. Is g\/22*240208\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(16) + sqrt(800)\/sqrt(2))\/(sqrt(32)*-2)*-3 + 3.\nAnswer: 6 + 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 47, 61, 77, 95?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/35 or 2?\nAnswer: 48\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3 - 2*p)*(-60 - 103 - 64).\nAnswer: 454*p - 681","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -137*j - 825. What is v(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -930204*v + 291696 with respect to v.\nAnswer: -930204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/96)\/((-4)\/(-16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 + 11*n**2 + 5*n - 3 = 0. Calculate n.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssss. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24405 is divided by 62?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 12 + -23 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - 3*m**3 + 2 - 2 + 2*m**3 + (10*m + 88*m - 21*m)*(-2*m**2 + m**2 - 6*m**2) to the form z*m + v*m**2 + k*m**3 + p and give k.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*o + (-2 + 3 - 3)*(-5*o + 4*o + 0*o) - 3*o - 2*o - o + (-2*o + 8*o - o)*(1 - 4 + 4)*(-6 + 2 + 2).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m)**(1\/2)*(m\/m**(1\/4))**(2\/105) assuming m is positive.\nAnswer: m**(123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 - -540?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124181 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5821 (b) -2\/11 (c) 3 (d) 49 (e) -3 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 873548657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 10. Let v be g(3). Let u(q) be the first derivative of 3*q**2\/2 - 46*q + 15. Let i be u(12). Which is greater: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86407 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5584147 is divided by 516.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/2, -11, -0.3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 + 3 + (1 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5676 + 113.2824. Let y = 122 - v. Round y to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-15) - 10\/(-50). Let m = -8 + 6. Let z be ((-25)\/1)\/((-195)\/(225\/15) + 12). Which is the second biggest value? (a) f (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guuuuguuuuuguu. Give prob of picking 2 u and 1 g.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(720) + -2*sqrt(720))*-3)**2.\nAnswer: 233280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6872*w = -4*r + 6875*w + 7, 3*w = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/52)\/((-10)\/8). Let d be (-1 - -2)\/(1 - 2). What is the third biggest value in w, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 12:29 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228942 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 27819?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b. Let o(k) = -k. Let s(h) = 4*o(h) + y(h). Let w be -1 + 2 - (-1 + 1). Determine s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 7*j + 19. Let k be y(-9). Put -4, k, 2, -2 in decreasing order.\nAnswer: 2, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 1 + 16. Let f = u - 13. Let b = -0.2 - -0.1. What is the closest to b in 3, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10261 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:20 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 240840158.\nAnswer: 2167561422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u - 3*u - 6*u - 4*u + 5. What is the remainder when 98 is divided by w(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 7\/300*k**5 - 1\/6*k**3 + 1\/30*k**4 + 1\/180*k**6 + 0*k + 0 - 2*k**2. Let a(n) be the first derivative of d(n). Factor a(r).\nAnswer: 2*(r + 1)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00083255893 to six dps.\nAnswer: -0.000833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from lnglnqnnngnnn.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1164 and 12?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27009*l - 13760*l + 12796*l.\nAnswer: -27973*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 9:57 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 1)*(-29*k - 40*k + 26*k)*(-3 - 1 + 5)*(-3 + 3 - 2)*(2*k - 4 + 4).\nAnswer: -1204*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ce + -5?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**2 - 7*v + 99. Let q(c) = 7*c**2 - 9*c + 127. Let d(w) = -9*p(w) + 7*q(w). Let k(b) = -3 - 2 + 11*b**2 - 2. What is 7*d(t) - 2*k(t)?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4698)\/3915)\/(1 - 5751\/5750).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 15*t - 6. Let a(z) = -z**2 + 8*z + 3. Let j(l) = -3*l - 1. Let p be j(-4). Give p*a(v) + 6*q(v).\nAnswer: v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*v - 1139*v + 2743*v.\nAnswer: 922*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 111. Let s be (-35)\/h*10 - (-1)\/(-2). Suppose 0 = 14*o - s*o + 147. What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + 0 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5047002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(17\/7)*j*j**(-1\/7)\/j*j*j**1*j assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 11011213322213?\nAnswer: -11011213322213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567622.4 milligrams to kilograms.\nAnswer: 0.5676224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3e043 (base 16) to base 11\nAnswer: -163937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151123 is divided by 779?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g)**(1\/18) assuming g is positive.\nAnswer: g**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 31*g**2 + 111*g - 42. Give s(27).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797317?\nAnswer: 17, 46901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28367766 a multiple of 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let a(b) = 9*b - 1. Let l(k) = -a(k) - 2*c(k). Suppose 1 = -4*f + 5. Calculate l(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1317*w + 1457*w**2 + 734*w**2 - 1317*w in the form y + g*w + h*w**2 and give h.\nAnswer: 2191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -6 - 0) + 2 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*-6 - (2 + (sqrt(17) + -1)**2))*-2.\nAnswer: 8*sqrt(17) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t**2 - 3 + 3 - 12*t**2.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 5 (c) -0.48 (d) -2\/9 (e) 33 (f) 33\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14 + -21 - (-2 + -1). Let u(g) = g**2 + 10*g - 61. Let i be u(-13). Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539437 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/264 and 29\/369567.\nAnswer: 2956536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-24)*-1*(-8 + 10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/11)\/k)\/k**(-1\/14))\/(k**(-2\/5)\/(k\/(k*k\/(k*k**(-8))*k*k))) assuming k is positive.\nAnswer: k**(-8247\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -812*i**3 + 225*i**2 - 4815709*i wrt i?\nAnswer: -4872*i + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*b = 4*t + 2, -2*t - b - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200616?\nAnswer: 2, 3, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126043 a multiple of 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6114796 plus -0.1?\nAnswer: 6114795.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 176 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(192)*-1 + 5 - sqrt(192) - sqrt(192)) + -5)**2.\nAnswer: -2880*sqrt(3) + 15952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let c(d) = 59*d. What is c(h(b))?\nAnswer: 59*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyiww. Give prob of sequence cw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.57089mm in kilometers?\nAnswer: 0.00003257089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 261 - 237.4. Let h = 29 - i. Let m = 5 - h. Which is the smallest value? (a) m (b) 3\/8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzxxppxppmnpg. Give prob of sequence mg.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 2*d**7\/7 + 17*d**3\/2 - d**2 + 3*d. Find the first derivative of h(g) wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.7 - -6.7. What is the third biggest value in -2\/5, -4\/5, 2\/7, g?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10861881 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372700 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 26 = -3*u. Let y be (-7 - 10) + (-22)\/(374\/(-221)). Put u, -60, -1, y in increasing order.\nAnswer: -60, y, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**3 - 2*y**2 - 5*y. Let g(w) = -8*w**3 - 3*w**2 - 6*w. Let f(v) = -5*b(v) + 4*g(v). Let c = 0 - -1. Does 3 divide f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1385*z - 1368*z - 233682. What are the prime factors of z?\nAnswer: 2, 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-4 - -3) + -5) - (-33 + 30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 99.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 57, 66, 71, 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 + 3.09999641. Round b to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.1, 0.2, -1329, 4, -0.24?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102.2 and 99?\nAnswer: 10117.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 50*i + 65. Calculate the remainder when 197 is divided by n(49).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 22 - (0 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*c + 6, -10*c + 2*l + 2 = -9*c. Calculate the greatest common factor of c and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 16 + 36)*(-108 - 179 + 287 + 2447*u).\nAnswer: 61175*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**6 - 235109*v**4 - 8*v**3 - 175*v**2 + 41619 wrt v?\nAnswer: 120*v**3 - 5642616*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**5\/42 - 31*r**4\/14 - 72*r**3\/7 - 2*r**2 + 3*r - 698. Factor z(t).\nAnswer: -2*(t + 36)*(5*t + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 7. Let w(n) = -1. Let f(i) = 2*a(i) + 6*w(i). Let c = -31 - -27. What is the tens digit of f(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*a = -568*a - 6*z - 24, 28 = -4*a - 4*z for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 2160*d**2 + 231105*d - 470890.\nAnswer: 5*(d - 2)*(d + 217)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 a factor of 412634150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 94, 100, 120, 160, 226, 324, 460, 640?\n\"Answer: s**3 + s**2 - 4*s + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1612506, -80, 1 in increasing order.\nAnswer: -80, 1, 1612506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 23*x - 28. Let n be a(-17). Let q = n + -66. Let w = 36 + -14. Calculate the lowest common multiple of q and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(23 + 7)*(-3)\/(-327).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160.1 + -10.1. Let z = j - 149. Let l be ((-2)\/4)\/((-1)\/10). Put 2, z, l in ascending order.\nAnswer: z, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 less than -110325?\nAnswer: -112116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 + -58. Let d be 18\/99 + p\/22. Suppose -6 = -2*f - d*k, 15 = -f + 6*f + 4*k. Solve o + 4*y + 6 = -y, -6 = -3*o - f*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*a**3 - 93*a**3 - 21*a**3)*(2*a**2 - 3*a + 3*a) + 6*a**5 + 3*a**5 + 7*a**5.\nAnswer: -448*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1610769*l**2*s - 70*l*s - l + 4*s + 410 wrt l?\nAnswer: -3221538*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, -0.2, 11 in decreasing order.\nAnswer: 11, -0.2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0733 - 4.0633. Let o = 0.01 - u. Let c = -3 + 2.9. Do c and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, t: 3, d: 2}. What is prob of sequence dtd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by -3.\nAnswer: 104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - d - 19, -3*o - 26 = 3*d + 1. Let y be 32\/o - (-8)\/20. Calculate the remainder when 15 is divided by y\/(-2) - 1*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 + 927\/5. Which is the second biggest value? (a) -2\/31 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (4 - (136 - (0 - (16 + -31)))).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119390715.\nAnswer: 3, 5, 53, 113, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 - 2. Suppose w + 30 = 4*w. Calculate the lowest common multiple of w and q(2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 s when four letters picked without replacement from {s: 4, c: 1, b: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7*u + 1399 = 3*u, -3*p + 2*u = -1403. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2355.27 - -2220.1. Round z to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 90?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35925 or 2\/3?\nAnswer: 35925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, k: 3, z: 2}. What is prob of picking 4 p?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 + -457 + -2 + 3 + -37.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942.066 milliseconds in seconds?\nAnswer: 1.942066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131 - -140.1. Let g = 1783.83 + -1786.83. Sort g, a, -1\/4.\nAnswer: g, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.5 (c) -0.19 (d) 6225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 937\/6 - 455\/3. Solve 0 + v*j + 1\/2*j**3 + 3*j**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441780019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 1. Suppose 8*d - a*d + 68 = 0. Factor -4*m + 25 - d + 4*m**3 - 8*m**2 + 0*m.\nAnswer: 4*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -37, -4, -7 in increasing order.\nAnswer: -37, -7, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**2 + 8*u - 4. Let t(x) be the first derivative of -13*x**3\/3 + 15*x**2\/2 - 7*x - 1. Determine 6*t(i) - 11*v(i).\nAnswer: -i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 169*o - 1506. Give s(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11035, -22007, -32925, -43789, -54599, -65355, -76057?\n\"Answer: 27*q**2 - 11053*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*i + 307 + 198 - 90 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(3*sqrt(405) - sqrt(5)))\/(4*sqrt(120)\/(sqrt(12) - 3*sqrt(12))) + -2.\nAnswer: -2 - sqrt(2)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c + 30. Suppose -9*t = -c*t - 51. Let o = t - 14. Solve -3*y + 5 + o = i, 0 = 4*y - 2*i + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/3 = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 12142200 to the nearest 100000.\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*f**3 - 406 + 406 + (3*f + 31*f - 9*f)*(f**2 - 4*f**2 + 5*f**2).\nAnswer: 111*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b - 27*b - 3669564143 + 3669564143 - 270*b**2.\nAnswer: -270*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122821933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5 + 3)*((0*i + 0*i - i)*((2 - 2 + 2)*(4 - 1 - 2) - 2 - 2 + 3) - 4 + 1 + 5 + 4*i).\nAnswer: -30*i - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 6*f + 5*n + 17, 3*n + 10*n + 101 = -16*n - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1230442241 - -233?\nAnswer: 1230443024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 6 + -2 - (-6 - -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 12 = 0, n - 10 = i - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-112)\/113 + 1)*-52. Let p = v - 12859\/2260. Let z = -23\/4 - p. Is 1\/3 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/17 + -25\/34. What is the common denominator of (126\/(-11))\/2 + 3 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 6138*k**2 - 6644*k**2 - 2*k as g + m*k**2 + f*k and give m.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 9*j**2 + 8*j - 15. Let i be m(-10). Which is the closest to -0.2? (a) i (b) -0.11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 5 (c) 0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jzjcc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27499050203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 8:15 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 402239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 4*b**2 - 2*b + 1. Let m be p(2). Suppose -22*z + m*z = -86. Calculate the remainder when z is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*m - 13, 8*m + 2*p = 3*m + 31. Suppose m*t + 4*y - 1 = 27, 0 = 2*t - 4*y. Find the first derivative of 1 + 4*w**t - 7*w**4 + 0*w**4 wrt w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/273 and -141\/70.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 - 169. Which is the second smallest value? (a) -1\/4 (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94942163 to the power of 1\/2, to the nearest integer?\nAnswer: 9744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 36. Let l be (v\/(-6))\/((-3)\/10). Suppose 16 + 36 = 5*p + i, -p = 5*i - 20. Solve -l*h = -0*h - p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -333 - -336. Suppose 4*q - v*q = 528. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3 + 13425*j**2 - 13425*j**2 + 4*j = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -453, -972, -1705, -2658?\nAnswer: -3837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 4. Let b be g(10). Calculate the remainder when 55 - 2\/((-4)\/b) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620361 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j - 1. Let i be 15\/40 + ((-268)\/32 - -2). Let s(d) = 19*d + 2. What is i*s(m) - 13*n(m)?\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:15 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 375636.6 millennia in months?\nAnswer: 4507639200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (2\/(-8) + 19680\/(-1152)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2662 - -8686. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*y - 4124953 - 2676689 = 368136. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1389)\/(-21) - (-12)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118787 (base 12) in base 10?\nAnswer: 284503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814380284341 + v + 814380284341.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 16) in base 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, 283, 1366, 3565, 7234, 12727, 20398?\nAnswer: 30601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -8)*(2\/7)\/((-10)\/(-56))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 10*u**7\/7 + 13*u**4\/4 + u**3\/3 + 44*u + 190. Find the third derivative of s(q) wrt q.\nAnswer: 1200*q**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 5. Let u be z(4). Let k = u + -9. What is the units digit of k + -4 + 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 146. Is 10 a factor of s(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021000 + 1102002?\nAnswer: 2200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from ruxururrr?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2720\/(-3400))\/(2\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b + 4*b**3 - 34*b + 1 - 41*b**3.\nAnswer: -37*b**3 - 11*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**7\/210 + q**6\/180 + q**3\/3 - 3. Let x(a) be the third derivative of s(a). What is the third derivative of x(v) wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2518.006 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*m = -100*m - 3*s + 21, 2*s = 2*m - 461 + 475 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1288, 1296, 1310, 1330, 1356, 1388?\n\"Answer: 3*j**2 - j + 1286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 210.98 from 0.0894972.\nAnswer: -210.8905028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 709136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 773951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-11 - (9 - 22)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-165))\/((-4)\/12)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -11*b + 2. Let c(d) = -11*d + 2. Determine -2*c(r) + 3*j(r).\nAnswer: -11*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*i + 120 = 439*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1060*g + 19135. Calculate d(-18).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 5. Let o = -0.6 - -1.6. What is the second smallest value in -5\/4, o, m?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + (8 - (10 - 8)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 274028896. Let z = -15619674341\/228 - l. Let i = z + 2084\/19. Calculate the common denominator of -53\/7 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 - 3*v. Let u(j) = -j**2 - 1. Let q(f) = -g(f) - 3*u(f). Suppose 0*l - 4*l = y - 21, 10 = 3*l - 5*y. Determine q(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 3*c + 1. Let y be b(-2). Let z(t) = 7*t**2 + 1. List the prime factors of z(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + o**2)*(0*o - 2*o**2 + 0*o) + (-187*o**2 - 71*o**2 - 101*o**2)*(8*o**2 - 5 + 5).\nAnswer: -2874*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 6 - (9 + -24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 596 - 589. Solve 0 = g*k - 11 - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 22. Is 11 a factor of i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -26. Let s = -311 + 328. Is a < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100200 (base 3) to base 15\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.57*5\nAnswer: 7.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.760597 tonnes to kilograms.\nAnswer: 9760.597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 7*y - 26. Let o = -8 - -4. Let f = -5 - o. Which is the nearest to f? (a) 0.1 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -91. Let y be -3 + (0\/4 - 3). Put 1, y, v in descending order.\nAnswer: v, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 29 = 3*g - 0*b, -41*b + 127*b - 86 = -0*g - 2*g + 78*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 34\/(-15))\/((-66)\/55). Suppose -4*v = -0*v - 8. Which is the nearest to 0? (a) v (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*z = 83*z - 3*t - 24, -27 = -z + 6*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**6\/120 - b**5\/15 + b**4\/3 + 5*b**3\/6 - 12*b**2. What are the prime factors of r(7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 5*f**3 - 29 - 47.\nAnswer: -f**3 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1 + 8\/(-6). Let v(i) = -8*i + 83. Let r be v(10). Suppose -4\/3 + c*j - 2\/3*j**4 + 2*j**2 - 2\/3*j**r = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 11. Let j be 1\/5 - (-3072)\/40. Let x(v) = 36*v - j*v + 39*v. Determine s(x(t)).\nAnswer: -4*t + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 - -11?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*v - 337*v = 5*j + 10, -3*v = 2*j + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2046.4 and 1.\nAnswer: 2047.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 3831*w**2 + 154092*w - 157920.\nAnswer: -3*(w - 1316)*(w - 1)*(w + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246*(-16)\/(-528) - 8\/1.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 82, -255, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 5215?\nAnswer: -5233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)\/sqrt(6) - sqrt(8)) + -4.\nAnswer: -4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - g - 24. Is 33 a factor of r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1702, -7165, -16398, -29401, -46174, -66717?\nAnswer: -91030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8261032*h**5 - 961*h - 346830 wrt h.\nAnswer: -165220640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1930335246, 1930335248, 1930335250, 1930335252?\nAnswer: 1930335254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 n, and 1 g when four letters picked without replacement from pppnfgjipfipijp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 10 = -4*c. Solve -2*u = -c*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 o when four letters picked without replacement from okokkoxnxxxoixxkx.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -26*z - 132. Let d be h(-5). Let p(x) = 7*x**2 - 13*x - 6. Let s(j) = 3*j**2 - 6*j - 3. Let a(g) = 4*p(g) - 9*s(g). Determine a(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 + 6) - (-5 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886714.9m to millimeters.\nAnswer: 886714900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9*0.3585\nAnswer: -3.2265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 11:00 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.092 + -0.092. Which is the fourth smallest value? (a) 0.4 (b) v (c) 2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -7. Suppose 7*z - 1 = 8*z. Is z bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 k when four letters picked without replacement from katakkaataak.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = -29*x + 420. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1064*s + 263. Is o(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034074335 rounded to four dps?\nAnswer: -0.0341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111100110110 - -110011010010111?\nAnswer: 1001010111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -2\/3*b**3 + 0 + 0*b + 12*b**2. Let d(o) = o - 5. Calculate 4*d(k) - 5*f(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80458940?\nAnswer: 2, 5, 1973, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18646599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s + 160. What is y(-20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -4, 2\/7, -2\/3, -6\/31 in increasing order.\nAnswer: -4, -2\/3, -6\/11, -6\/31, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66132 rounded to 3 decimal places?\nAnswer: 0.661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255283 is divided by 63807.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/1*(-71)\/((-1491)\/(-42)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3))\/sqrt(12) - (0 + (sqrt(2)*-2)**2) - sqrt(300)\/sqrt(6)*-1.\nAnswer: -8 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 6*j**2 + j - 5. Suppose -51*z = -47*z - 24. What is the least common multiple of 3 and q(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2240.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/191979 and 64\/11565?\nAnswer: 959895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 5*z + 2. Let d be q(-6). Let i be 4\/(-6) + 505\/15. Let m = d - i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231942576 divided by -4832137?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -21011?\nAnswer: 21001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1837 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-2)\/(-11))\/(31\/682). Let m(u) be the first derivative of 0*u**2 - 2\/3*u**3 + 0*u - 17 + 7\/2*u**h. What is the third derivative of m(p) wrt p?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0629 rounded to 2 decimal places?\nAnswer: 4.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17697740 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*a = 25, -31*a + 4 = 2*t - 27*a. Sort 1, 0, -22, 2, t in decreasing order.\nAnswer: t, 2, 1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.2. Let u = 53803 - 53802.8. Let n = -1.1 + 0.1. Put n, d, u in decreasing order.\nAnswer: u, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = -7*l + 5*w - 5, -3*l + 4*w + 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -715, 1\/5 in ascending order.\nAnswer: -715, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 56*v - 60*v + 0 + (-3 + 1 - 5)*(0 + 0 + 2*v) as u + t*v and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 10*k + 14. Let y be x(-10). Find the second derivative of -4*b - 6*b + 3*b - 7*b**2 + y*b**2 wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -0.4 (c) 1\/3 (d) 0.2 (e) -3 (f) 10\/97\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 436, -3, 0, -1 in decreasing order.\nAnswer: 436, 2, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 4*i**2 + 6*i + 7757. Let x(f) = f**3 - f**2 + 2*f - 1. Calculate m(s) - 3*x(s).\nAnswer: -2*s**3 - s**2 + 7760","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*12\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20680 and 517.\nAnswer: 20680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 283*o - 17 + 30 - 285*o.\nAnswer: -568*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 47*x**2 - x + 19. Let l(r) = -5*r**2 + 9 - 11*r**2 - r**3 - 6*r**2. Let c(w) = 9*l(w) - 4*n(w). Calculate c(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 11. Let s = y - -30. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:20 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 10. Suppose -c*m + 4*m - 33 = 0. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001010 - 1010101?\nAnswer: -110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s + 169. Let d(i) = -11*i - 168. What is 3*d(l) + 4*v(l)?\nAnswer: -l + 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/3 - 142936*q\/3 - 7564372\/3.\nAnswer: -4*(q + 53)*(q + 35681)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15271465 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -y + 4*y. Let n = -6 - y. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llrr when four letters picked without replacement from {l: 7, p: 4, r: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9784, 9795, 9808, 9823?\n\"Answer: v**2 + 8*v + 9775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012054 rounded to 4 dps?\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74888.12408 - 74892. Round s to 2 decimal places.\nAnswer: -3.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137916012?\nAnswer: 2, 79, 991, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 367066 or 367008?\nAnswer: 367066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 271, 557, 853, 1165, 1499?\n\"Answer: j**3 - j**2 + 282*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 26*y**2 - 24*y - 69. Let l be c(27). Let g(b) = -b**2 + 11*b + 14. What is g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -3. Let g be (-1 - 2)\/(i\/6). Suppose 4*f - g*n + 1 + 1 = 0, -4*n + 18 = -f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m**3 - 4*m - 4. Let f be v(6). What is f rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1)*s*s)\/(s*s\/(s\/(s\/(s\/(s*s**(2\/25))*s))*s))*(s\/(s\/(s**(-2\/5)\/s)))\/((s*s*s\/((s\/s**(-2\/3))\/s))\/s) assuming s is positive.\nAnswer: s**(89\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5248 + 5131 = 13*g - 0*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 7. What is the remainder when 7 is divided by l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 32*k**3 + 84*k**2 - 72*k.\nAnswer: 4*k*(k - 3)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582907 is divided by 94.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.14, -4, 0.02529, -0.06?\nAnswer: 0.02529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -4*k + 4, 62*q - 58*q = -5*k - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 times 0.7?\nAnswer: 66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 28 = 3*z, z - 7 = -4*b + 5. Suppose 1915 = m + b*y, 0 = m - 0*m - 2*y - 1909. What are the prime factors of m?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/548490 + -26884069\/4420280910. Calculate the common denominator of g and 20\/11.\nAnswer: 88649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/638460 and -139\/127692?\nAnswer: 638460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/6*(5\/2 - 1). What is the greatest common divisor of r and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190530 + -4.\nAnswer: -190534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 8 = 11*l. Suppose 6 = 5*u + 2*v, -3*u - 2 = -2*u + 2*v. Solve p = -l + u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 + 3)*(14 + 12 - 22)*(8*u - 15*u**2 - 8*u) to w*u + l*u**2 + k and give l.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a97 (base 11) to base 9.\nAnswer: -10087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 4112 = -13508. Is r smaller than -881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/((-17 + 24)\/(-42)). What is the closest to -1\/4 in g, 1, 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/14 - 165\/105. Let y = i + -2. Is -4*y\/32*1678 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1526807 and -1526810 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9798094 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11963 + 17167. List the prime factors of z.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 4*r + 7. What is the units digit of i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -20*z**2 + 4*z - 3. Let m(y) = -22*y**2 + 5*y - 4. Determine -4*m(a) + 5*n(a).\nAnswer: -12*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30542.\nAnswer: 2, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 - 12 = 0. Let w(u) = -u**3 + 6*u**2 + 8*u - 3. Let a be w(7). Suppose k - 20 = -a*k. Solve l*h + k = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47717 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -364*t + 704*t - 341*t - 2 - 3 + 40*t**2 to the form h*t + g + d*t**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {v: 1, i: 1, u: 1, o: 1, q: 2, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/45)*x**(-29) assuming x is positive.\nAnswer: x**(-1307\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j + 6*j. What is the units digit of 0 + (1903 + 0 - (j + -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*a - 2)*(-a + a + a)*(-1266 + 3*a + 1267 + 4*a)*(1 + 7 - 7 - 6*a).\nAnswer: 126*a**4 - 3*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 17*n**3 + 19*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146080*t**3 + 7*t**2 - 30*t - 272.\nAnswer: 876480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -93. Let o = f - 57.7. Which is the fourth smallest value? (a) 3 (b) -2\/5 (c) 5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92122930 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**6\/15 - 3*a**2\/2 - 20*a - 30. Let j(w) be the first derivative of u(w). Find the first derivative of j(h) wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 - 14 = i, -5*z + 17 = 2*i. Suppose 5*y = s + 21, 0*y - 3*y = z*s - 7. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 383540, 767079, 1150614, 1534139, 1917648?\n\"Answer: -u**3 + 4*u**2 + 383534*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76814?\nAnswer: 2, 193, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)*d*d*d**(-1\/4)*d**(-4)*d*d**(-1\/2))**(-2\/9))**(-2\/5) assuming d is positive.\nAnswer: d**(-41\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 100633?\nAnswer: 100632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 11, -5, -0.1 in decreasing order.\nAnswer: 11, 5, 0.4, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 837 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: Let z be (16\/6 - 2)*3. Let o(k) be the third derivative of 0 - 7*k**z + 1\/30*k**4 + 0*k - 2\/15*k**3 - 1\/300*k**5. Factor o(m).\nAnswer: -(m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2525208?\nAnswer: 2, 3, 7, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 42*a + 14*a.\nAnswer: 45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*f**2 - 374*f**2 - 16 - 4*f + 124*f**2 + 123*f**2 to the form d*f**2 + j*f + q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7\/4)*v**(33\/2)*v*v)\/(v*v*v\/(v\/(v*v**10))*v*v\/(v**(19\/2)\/v)*v))**(-5\/4) assuming v is positive.\nAnswer: v**(-185\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5756 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6116 - 50*u + 6116.\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4295 and 68720?\nAnswer: 68720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12930 + 12930.14535. What is h rounded to 3 decimal places?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q + 46 = -3*z, 0 = -2*q - 3*z + 92. Calculate the common denominator of 79\/82 and (q\/(-24))\/(48\/(-432)).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.095 - -18.095. What is the closest to 0 in -0.4, -672, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1272*y**3 - 216*y**3 + 206*y**2 + 3*y - 207*y**2)*((2 - 2 - 2)*(-1 + 1 - 2) + 0 + 3 - 2).\nAnswer: -7440*y**3 - 5*y**2 + 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 4:35 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - (48 + -42 + -77)) + -88.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a = 10. Suppose 4*f - 49 = -n, -a*f = -n - n - 71. Let i(h) = h - 10. What is the remainder when i(f) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76954705 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 350*g*m**3 - 151252*g*m**2 + 101*g - 2*m**3 - 1659492*m wrt m?\nAnswer: 2100*g*m - 302504*g - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -2)\/(0 + -1). Let t(z) = -3*z - 12. Let c be t(-5). Solve -6\/7*m**c + 6\/7*m**4 + 0*m - 2\/7*m**5 + j + 2\/7*m**2 = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.08164 months to years.\nAnswer: 1.92347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 - 4\/16. Let h = 3\/3640 + 3631\/10920. Factor 0 + b*o + 2\/3*o**2 - h*o**3.\nAnswer: -o**2*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 215, 653, 1461, 2753?\nAnswer: 4643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 116669*g + 7. Let j be 3\/(2*(6\/(-4))\/3). Let p be d(j). What is p rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, b: 1, y: 2, q: 1, x: 1}. Give prob of sequence fq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.113 - 0.013. Let d = n + -7.1. Sort d, -10, 0.3 in decreasing order.\nAnswer: d, 0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgg when three letters picked without replacement from {g: 2, q: 6, a: 2, c: 1, b: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -51.5. Suppose 2*w + 3 = 5*w. Suppose 0*k - 5*k = -10. Which is the closest to 2\/7? (a) k (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315296 and 27175872.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(1\/23)*(v\/v**(-1))**(-1\/25) assuming v is positive.\nAnswer: v**(-21\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37428.51 kilograms?\nAnswer: 37428510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, 1 p, and 1 q when four letters picked without replacement from qzhhhppppqczppzzpphp.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 3*n - 4*n)*(-9 - 5 - 1)*(-91 + 23 - 28).\nAnswer: -2880*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 179384412 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 55*t - 1304. Determine o(-31).\nAnswer: -1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -124, 6, -1, 0.\nAnswer: -124, -5, -1, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/j**(1\/8))\/j*j)\/j**(2\/9)*(j\/j**3)\/j**(1\/7) assuming j is positive.\nAnswer: j**(-247\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 178133 smaller than 1603192\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 q when four letters picked without replacement from {e: 2, q: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1dc415 (base 15) to base 6\nAnswer: -51134132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcwwccwwwcwcw. Give prob of picking 4 w.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-104)\/6*(-966)\/184 is divided by 68?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.099 + 6.216. What is the second biggest value in y, -5, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 40*w**2 - 4*w + 23. Let c(s) = 40*s**2 - 4*s + 19. Calculate -6*c(z) + 5*p(z).\nAnswer: -40*z**2 + 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2, -1\/4, 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76798 and 5366056.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -23. Let j(o) = -35 + 3*o**3 - 5*o**z + 37 + 5*o - 4*o**3. Let f be j(-6). Let t(w) = -w**3 + 8*w**2 - w + 3. Give t(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/782453 and -50\/1006011.\nAnswer: 7042077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/3 + 3341*p**2\/3 - 23240*p = 0. Calculate p.\nAnswer: 0, 21, 3320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/12)*v)\/v)\/(v*v\/v**20*v*v*v)*(v**12)**(-7\/5))**(5\/11) assuming v is positive.\nAnswer: v**(-103\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 - 3.22. Let k = n + 0.08. Let w = 4.04 + k. What is the third biggest value in 5, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5500817 and 17437?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.11, -3.512, -1\/4 in increasing order.\nAnswer: -4, -3.512, -1\/4, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-360)\/(-3520)*-8*-66\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 5*z = -10*q, -3*q - 4*z - 31 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.121 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8160*y - 86. Let s be i(-9). Is -4 - ((-15)\/(-12)*4 + s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 2. Suppose -3*p + o = -4. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045047 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*j**5 + 160*j**4 + 772*j**3 + 124*j**2 - 864*j - 144 = 0. What is j?\nAnswer: -2, -3\/2, -1\/6, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -2887?\nAnswer: 2894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 - 25*d**3 - 97*d**2\/2 - 24*d.\nAnswer: -d*(d + 1)**2*(d + 48)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1572, 2832, 4102, 5388, 6696, 8032?\nAnswer: 9402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u + 4. Let z(t) = -t**2 - 6*t + 4. Let w be z(-6). Suppose -w*l = 3*y + 35, -4*y + 2*l + 9 = 41. Let v(h) = -5*h + 2. Calculate y*v(i) + 4*g(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/308)\/(44\/4466*29)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -443552212*i**2*m + 952466624*i**2 wrt m?\nAnswer: -443552212*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 1 - 7. Suppose -o - 105 = -a*q, -3*q - 21 = 4*o - 141. Let k = -19 + q. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132720680.\nAnswer: 2, 5, 223, 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 5*q = -108. Calculate the lowest common multiple of 8 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:25 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13222 (base 4) in base 13?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, 1, -0.2, -2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltytjttyoylttl. What is prob of picking 2 y and 1 j?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -54 + 2. Let y = h + 26. What is the derivative of -3 + 2 + y + 2*f + 8*f wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*b - 16, 5*h + 8 - 23 = -2*b. What is the second derivative of -2*u + 4*u**2 - 10*u**3 + 1 - 9*u**3 - b*u**2 + 0*u**2 wrt u?\nAnswer: -114*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-4 + 4 - l**4) - 3 + 3 - 2*l**4 + (-2*l + 1 - 1)*(-3*l**3 + 2 - 2) - l**4 - l**4 + 0*l**4.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49324 and 354.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q - 141 = 27 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3279 and -240 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2 + 0 + g + 9*g**2 + 1. Let l(y) = 2 + y - 5 - 3. Let i be l(7). Determine c(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -3*sqrt(99) - sqrt(99)) + -3)*-2 + ((-3*sqrt(99)*4)**2 - (sqrt(99) - (3*sqrt(99))**2)*1).\nAnswer: 21*sqrt(11) + 15149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + j**5 - j**3 + 0 - 8 - 3 + (-j**4 + 0*j**4 + 3*j**4)*(3*j - 3*j - 3*j).\nAnswer: -5*j**5 + 2*j**4 - j**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 81, -2.6, 38\/3?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 958\/9. Are -17\/2 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 - 880\/264.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:22 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-8)*(2610\/45)\/(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245 + 250. Sort -0.028, 1, q in decreasing order.\nAnswer: q, 1, -0.028","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + -14254?\nAnswer: -14324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 365385271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 1:39 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1564 + -792. What is the remainder when f is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7998 is divided by 449?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1948 and -169\/42.\nAnswer: 40908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -954771.21 + 0.5?\nAnswer: -954770.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 434 = -5*n, -422 = -8*n + 3*n + h. Suppose 4 = -3*r + n. What is the greatest common divisor of r and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgi. Give prob of sequence gi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 250363906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2206 - -2281. Solve 77 - w = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59705088041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.023?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/n*n*n**(-2\/3))**27\/(n**(-1\/4)*n**1)**12 assuming n is positive.\nAnswer: n**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -10, -25, -46, -73?\n\"Answer: -3*x**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1234 - -1233.4. Let o be 2\/4*2*-5. Sort -1\/4, d, o.\nAnswer: o, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1210, 2464, 3718, 4972, 6226?\nAnswer: 7480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 48*n**2 + n + 1. Let d be k(-1). Let j = d + -45. Solve x + 5*v = j, 3*v - 11 = 2*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.81 rounded to 0 decimal places?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3 - 141?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 14, 1, -1, 2, -5 in increasing order.\nAnswer: -5, -1, 1, 2, 14, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(78)\/sqrt(6) + 5.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 218771 = 781229. Round r to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -1895 + 1893 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4000 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 23*z**3 - 2*z**2 + z. Let b be o(1). Suppose 5*s + 0 - 18 = -t, 2*t = -3*s + b. Solve -4*i - t = -0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 26 = 12. What is the fourth biggest value in l, 0.5, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 1, s: 1, o: 1, q: 1}. Give prob of picking 1 o and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9952365 is divided by 3856?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0, 31 in descending order.\nAnswer: 31, 14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1077*0.3\nAnswer: 323.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 812321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82.5 + 83. Suppose 0*f - f = -2. What is the closest to f in s, -4, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(((r*r**0)\/r)\/r*r))**26*(r\/(r\/(r*r**(2\/17)\/r*r*r)))\/(r*r**(1\/19)*r) assuming r is positive.\nAnswer: r**(16817\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, 1 n, and 1 a when four letters picked without replacement from {g: 2, n: 1, a: 2, z: 1, d: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w - 9. Find the third derivative of -5*y**2 - 5*y**3 + 8*y**w - 2*y**6 - 3*y**3 wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4343949439 to the power of 1\/2, to the nearest integer?\nAnswer: 65909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2280, 4458, 6636?\nAnswer: 8814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((0 - 8) + (-4 - -7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*t**4 + 24*t**2 + 2481*t wrt t.\nAnswer: 564*t**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*r + 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275 = 26*f + 59*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(13\/5)*d)\/(d\/(((d*(d*(d*d**12)\/d*d)\/d*d)\/d)\/d)*d) assuming d is positive.\nAnswer: d**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-329)\/(-94))\/(1\/446) is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 + 98*j - 3. Let r(p) = 22*p**2 - 493*p + 16. Determine 2*r(a) + 11*t(a).\nAnswer: -11*a**2 + 92*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5866.\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3192930*n**2. Let x(w) = 2*w. What is x(y(t))?\nAnswer: -6385860*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -k + 12, -3*a - k = 10 - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 - (-1 + (-7 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuauuauuaaaau.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17676 and 21?\nAnswer: 123732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(196)*-3)\/sqrt(7))**2.\nAnswer: 12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8)\/w)\/w**(-2\/7)*((w\/(w\/w**(1\/3)))\/w*w)**10)**(-2\/77) assuming w is positive.\nAnswer: w**(226\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*c + 9886, 0*c + 2*c = 3*d + 6569. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1062\/885*(301\/(-168) + 2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*v + 73148 = 992066. What is the greatest common divisor of v and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 594978*g + 866048.\nAnswer: 594978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1054, 1364, 1674, 1984?\n\"Answer: 310*w + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.5 (c) -1\/8 (d) 2 (e) -10997\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 d when four letters picked without replacement from drdrddyyr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 2*d. Let y(z) = -4*z**3 + 2*z - 1. Let f be y(1). Let s be (1\/f)\/(-1) + -1. Sort d, -1, s in ascending order.\nAnswer: -1, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1481620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4771433*p*z**3 - 8097377*p - z**3 wrt z.\nAnswer: -14314299*p*z**2 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/(-9))\/(12\/18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 1)*(-4 - 1 + 6) - 3 - 1 + 2)*(-1 - 35*j**4 + 6 - 7).\nAnswer: 35*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from fffhhfpr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -8 + 11 + -10 + 7 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - 47*i**2 + 25*i + 14. Let b be l(-24). What is the nearest to 1\/4 in -34, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8415896 + 18515621. Suppose 4*p = 2*s + d + 16100287, -26200003 = 2*s - p. Round s to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.22 and -0.2671.\nAnswer: 0.325862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813119 to the power of 1\/2, to the nearest integer?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 218221125 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417493 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -23, -45, -67?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45669 - 22863. Is g a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 632, 636, 642, 650, 660, 672, 686?\n\"Answer: u**2 + u + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 2. Let j = -1 + -1. Let n be l(j). What is the common denominator of 330\/18 - (-3 + n) and -3\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 + 2*g**4 - 4*g**4 + (3*g - 4*g - 2*g)*(4*g**3 - 3*g + 3*g) + (2*g**3 + 3*g**3 - 3*g**3)*(-2*g - 2*g + 2*g).\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.336 and 0.3.\nAnswer: 0.4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 10*i**2 + 8*i + 13. Suppose h = 2*h - 9. Let l be q(h). Suppose 64 = 3*y - 2*z, 0 = -y - 4*y + l*z + 108. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -847.114 rounded to zero decimal places?\nAnswer: -847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v - 3*p, 2*p + p - 12 = 0. Sort -3, -2, v in decreasing order.\nAnswer: -2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60804 divided by 163?\nAnswer: -60804\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2927*l - 941*l + 10*l**2 - 976*l - 1010*l.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 5) + 46 - (455 + -321).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*w = -w - 10, -w + 20 = 2*l. Let f = l + -4. Is (9\/f)\/(6\/664) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*f + 82*f = -26. Solve 7*l - 8 = 2*l + q, -3*q - 7 = f*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1765)\/(-10) - (-12)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**3 - 11*q**2 + 11. Let p(b) = 4*b**3 - 6*b**2 + 6. Determine -6*n(g) + 11*p(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + w**2)*(-2 - 3*w + w + w).\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -254 + 14?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0, -2, 1, 0.3, 2\/215?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29302.949098 - 29303. Let c = -0.0506 - g. What is c rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s - 6 + 1 + 11 + 4 - 2*s to r*s + c and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 319993 to the power of 1\/2, to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -176*q**2 + 0*q**5 + 1\/30*q**6 + 1\/12*q**4 + 0 + 0*q - 251\/6*q**3. Find the first derivative of i(c) wrt c.\nAnswer: 12*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 1816080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + 3*d + 32. Let m(o) = -6*o**3 + 7*o + 65. Let n(w) = -7*i(w) + 3*m(w). What is the first derivative of n(r) wrt r?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39062513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o + 20 + 28 - 20 + 14. Let u be b(6). What is the greatest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -301763, -2000.\nAnswer: -301763, -2000, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 7:24 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30690 and 213315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12306 + 21*o**3 - 12249 + 24555 - 49*o**2.\nAnswer: 21*o**3 - 49*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 34*s**2 - 41*s - 207. Let h(w) = w**2 - 2*w + 1. Let x(b) = -5*h(b) + p(b). List the prime factors of x(-6).\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2536 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*x + 2*r, x - 4 + 8 = 4*r. Suppose -2*v + 6*i + 22 = i, x = 2*v + 4*i + 14. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5261 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 16\/(-40) - (-97)\/5.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6996 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r. Let x be h(1). Let j(p) = -3*p + 3. Let z be j(x). Let w(i) = 2*i**2 + 0*i + z*i**2 + 1 - 2*i. Calculate w(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s + 10*s + 3*s. Let a(m) = m. Determine b(a(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m + 5. Suppose 0 = -5*d + 265 - 40. Suppose -d = 4*b - 9*b. Calculate the greatest common factor of m and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-15) + (-8)\/70. Suppose d + n = -2 + 9, 3*n - 15 = 0. Sort d, 0.3, b in descending order.\nAnswer: d, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1053*a**5 - 1016586*a**4 + 424893*a**3 + 648540*a**2 - 57900*a = 0?\nAnswer: -2\/3, 0, 10\/117, 1, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07518847 rounded to 5 decimal places?\nAnswer: -0.07519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k - 4*k + k)*(3 - 2 - 2)*(4*k + 6*k + 9*k) to the form v*k**2 + b*k + a and give v.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156895406*k**2 - 997395729*k wrt k?\nAnswer: 313790812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33361998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.09 * -157.\nAnswer: -8806.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f - f**3 + ((-2*f + f**2 + 2*f)*(0 + 6 - 5) + (-7*f - 21*f + 0*f)*(4 + 1 - 4 - 6*f))*(3*f + 9*f + 4*f).\nAnswer: 2703*f**3 - 448*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 6*g - 5. Suppose 0 = g*m - 961 - 12874. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -22. Let i = -10 - -15. Let d(r) = -r**2 + 1 - 1 + 4*r - r**3 - i*r - 2. Let j(g) = -5*g**3 - 5*g**2 - 4*g - 9. Give a*d(u) + 2*j(u).\nAnswer: -u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 + 139. Let n be (4\/k)\/(16\/168*-7). Which is the closest to -0.1? (a) 1 (b) -2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x - 4*x**2 + 3*x - 1 - 2*x**2 - x**3 + 5*x**2. Let t = -1 + 0. Determine c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3937859 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-27))\/4*(-16)\/(-16)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (706\/(-353))\/((-2)\/8*4\/7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**3 + 3219*y**2 + 854973*y - 2593971 = 0.\nAnswer: -573, -503, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6076, 1, -11, 3 in descending order.\nAnswer: 3, 1, -11, -6076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1188 divided by -396.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69027.08461 - 69022.8. Let l = q + -4.7046372. Let p = l - -0.42. What is p rounded to 6 decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/7 - 13247*z**3\/7 - 863992*z**2\/7 - 2448400*z - 13418496 = 0.\nAnswer: -28, -9, 13312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, -1, 0.996, 4, -0.5, 62, -0.27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135556813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 569 - 569.00198. Round d to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.038*0.07.\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*n = -337*n + 2*m + 28, 195*m + 900 = 59*m - 89*m for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15970688309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2531.2 + 2970. Let x = b - 438.7998057. What is x rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22433006*a**2*u**2 + 28359600*a*u**2 - a wrt a.\nAnswer: -44866012*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(150\/1680*-7)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 22763?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(3\/(-24) + (-35)\/40). Sort -1, -10, i.\nAnswer: -10, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from sddnaayi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 121 = -270. Suppose 0 = 19*u - p*u - 784. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g - 35. Let j be s(6). Calculate the highest common factor of 11 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121369, 121306, 121133, 120796, 120241, 119414, 118261, 116728?\nAnswer: 114761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-168)\/588)\/((-3)\/336). Solve 4*a - 55*m = -60*m - b, 5*a = -m - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 835*h + 92 - 189.\nAnswer: 835*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2410 + -2406. Let n(s) be the first derivative of 1\/3*s**p - 8\/3*s**2 - 14 - 4\/9*s**3 + 16\/3*s. Suppose n(h) = 0. What is h?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -44 (c) -2\/137 (d) 8 (e) 0.1 (f) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 4*v - 15, -u = 3*v - 8. Is (-4 - -93)*(-1)\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778111 is divided by 230?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, q: 6}. What is prob of picking 4 x?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/12*18 - 4. Let b(j) = -27*j**2 + 69*j**i - 23*j**2. Suppose 7 = -n - 3*t, -n + 4*n - t = -1. Calculate b(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829628629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -9. What is the remainder when 6 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*v + 5*o + 592 + 703, -2*v - o + 2*o = 125 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(363) + 2 + sqrt(363))**2 - (-1 + sqrt(363) + -5)) + (-3*(-1 + sqrt(363)) + 5)**2.\nAnswer: -2487 - 891*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 12*g**2 + 24*g + 7. Determine z(-15).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:06 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 + s**2 + s - 1. Let v be a(1). Let h(l) = l**2 + 8*l - 2*l**2 - 12*l + 9*l + v. Let m = -9 + 15. Give h(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1328\/7*l + 2\/7*l**2 - 190 = 0. Calculate l.\nAnswer: -1, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 6, 17, 4 in descending order.\nAnswer: 17, 6, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36438 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {m: 1, w: 1, e: 2, i: 1, j: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 876\/(-21) - 4\/14. Let d = 30 - y. Suppose -3*x + 4*f = x - 24, -3*x + f = -22. Calculate the highest common divisor of x and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4684 and 4690 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 9317334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (60855\/12)\/(77\/(-56) - -2)?\nAnswer: 2, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqpp when four letters picked without replacement from {q: 3, p: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/9*-33 - 3. Let z(p) be the second derivative of -3*p + t*p**4 + 4\/5*p**5 + 0 - 31\/15*p**6 + 0*p**3 + 0*p**2 - 5\/3*p**7. What is f in z(f) = 0?\nAnswer: -1, -2\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 430*f**3*m**3*u + f**3*m*u**2 - 2*f**3*u - m**4 - 3*m**3*u**2 - 7106*m**2*u wrt m?\nAnswer: 2580*f**3*u - 24*m - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16059, 16049, 16033, 16011, 15983, 15949?\n\"Answer: -3*m**2 - m + 16063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-65) - (-324)\/(-78).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 79*n**3 - n**2 - 4*n + 11. Let d be h(6). Let s = -10369 + d. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1739*s**2 - 328*s**2 + 1300*s**2.\nAnswer: 2711*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258 - 81 - 91 + 11633*b - 86.\nAnswer: 11633*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6725\/20748 - -3\/6916. Find the common denominator of -67\/57 and g.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 160.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040178 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17477179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 a, 1 i, and 1 r when four letters picked without replacement from nrirrrrrqqtiarrrrqi?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21178 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3780 and 97\/143280?\nAnswer: 3008880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**3 - 4*i**2 - 18*i - 4. Let k(v) = -13*v**3 + 9*v**2 + 35*v + 9. Let a(p) = 9*j(p) + 4*k(p). Find the second derivative of a(y) wrt y.\nAnswer: 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**7\/126 - a**6\/45 + a**5\/60 - 12*a. Factor h(t).\nAnswer: t**3*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 974924856 and 14496?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 8. Let a be 4\/(4 + (o - 0)). Suppose -5*f = a*s - 51, 2*f + 17 = -4*s + 95. What is the least common multiple of s and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-85)\/(-90) + 0 - -2 and 1\/12*(-3201)\/(-44).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/(-10) - (-4)\/(-10). Let n be (-11)\/(-9) + 2*(-2)\/b. Which is smaller: n or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6624)\/621*(-11)\/(77\/3)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -14?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/25 and 61\/68601815.\nAnswer: 343009075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1) - 51276\/25641. Let v = a + -179527\/170940. Calculate the common denominator of v and -11\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/8 + 30489*t + 1859158242.\nAnswer: (t + 121956)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-27)\/(-60))*(-6)\/5. Let n be ((-3)\/q)\/(20\/(-40)). Which is the fourth smallest value? (a) n (b) -4 (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-2\/7)\/q*q))**(-10)\/(q*q*q\/q**1)**(-1\/51))**(-23))**(-14\/13) assuming q is positive.\nAnswer: q**(-16192\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 25 + 3)*(3 + g**3 - 3) as z*g**3 + k*g**2 + q + h*g and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1001?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-4 - 32\/(6\/3). What are the prime factors of (-584)\/c + 4\/(-20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 63.6. Which is the nearest to -1\/3? (a) 1 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/19 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2. Suppose u = 3*t - 2. Suppose 2*h + 2*o - t = h, 5*h + 5*o = 10. Let y(q) = -q**3 + 4*q**2 - 4*q + 2. Calculate y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15442 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135897003*b**2*n**3 - 2*b**2*n**2 + 7*b**2*n - 1652*b**2 + 14*b*n - 3*b wrt n.\nAnswer: 815382018*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 7. Let d(g) = -g**3 - g**2 - 2*g. Let i be d(0). Suppose i = -32*q + 29*q - 12. Calculate y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68557 - -281040. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + -7 + 7 + -2)\/(1\/(-896))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -19 + (9 - -6) + 22 - 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/10)*i\/i**(-8))**(1\/3) assuming i is positive.\nAnswer: i**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 12 + 21)*(-10*r - 4*r - 3*r).\nAnswer: -680*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10900 rounded to the nearest one hundred?\nAnswer: -10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and (12\/((-768)\/1496) + (-3)\/(-8))*-3.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1044400 + -4202?\nAnswer: -1104102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26504725.904+0.511\nAnswer: -26504725.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 2*l + 4 + 2*l - 4 + (-3 - 4 + 5)*(3*l + 2*l - 6*l) - 2 + l + 2 + 7*l + 4*l - 7*l + 3 - 3*l - 3 to p*l + a and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228209252 is divided by 677?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(2\/95)*v\/v**0*v**3 assuming v is positive.\nAnswer: v**(376\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ittitiinitiitttitii. What is prob of picking 3 i?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*q**3 - 1 + q**3 + 1148*q**4 - 1155*q**4 wrt q.\nAnswer: -28*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*n - 10 = 0, -6*n + 4*n - 18 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5254?\nAnswer: 2, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/21720 and 1\/139008?\nAnswer: 695040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45671 at least as big as 2.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**3 + 45*i**2 + 19*i - 43. Calculate t(-8).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.89 + -3.96. Let j = v - 23. Round j to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 10. Let n be q(-5). Suppose -3*c - 10 = -n*c. Let u = -20 - -22. Solve -5*w = -c*v + 10, 0*w - 6 = -v + u*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let h(d) = -d**2 + 6*d - 2. Let w be h(4). Let n be ((-4)\/2)\/(4 - w). Which is the closest to l? (a) 0 (b) n (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a342 (base 12) to base 4.\nAnswer: -32131202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 7. Suppose 5*u - 128 = x. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32694 + 4?\nAnswer: -32690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1*(11 - 12)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 635*a - 9433. Give v(15).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200323\/325140 + -3\/5419. Let u = 1\/20 - g. Determine s so that 0 - 8\/3*s**2 - 8\/9*s + 2\/3*s**5 + 20\/9*s**4 + u*s**3 = 0.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -i - 3*i + 83, -2*i = 5*h - 157. Suppose -h*l + 12 = -27*l. Find p, given that p**l - 3\/2*p - 3\/2*p**4 + p**3 + 1\/2 + 1\/2*p**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 0 + 4 + 39?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 104*g + 7749. Give p(-83).\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -167444*u - 11051296. Give g(-66).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40741827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 0.6. Let g be 11 + (12\/80*-4)\/((-8)\/(-120)). What is the closest to g in 3, -2\/7, k, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5522 - -5521.99995208. What is m rounded to 6 decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + 8\/16 + (-224)\/24. Let i(n) be the third derivative of 0 + 1\/24*n**4 - 12*n**2 + 0*n - c*n**3. Give i(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - i + 31. Let l be y(0). Suppose -l = -4*u - 3. Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wme when three letters picked without replacement from {y: 1, n: 1, w: 2, m: 1, e: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r + 6*r)*(-r - 7*r - 13*r)*(0 + 2 - 8) - 3*r**2 + 6*r**2 - r**2.\nAnswer: 506*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-4)\/d))\/d*d**(-2\/3))**(-2\/57)\/((d*d\/d**(3\/4))\/d**(-7))**(-42\/13) assuming d is positive.\nAnswer: d**(117827\/4446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1. Let n(j) = -j**2 + 8*j + 37. What is n(c) + 5*u(c)?\nAnswer: -c**2 + 8*c + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 83a4 - -11?\nAnswer: 8405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times 0.5672?\nAnswer: 0.073736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from wpwwhyyw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 + -58547?\nAnswer: -58581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 5*j**2 - 6*j. Let d be i(-6). Suppose -2*n - 2*w + 8 = -d*w, 4*n - 12 = -2*w. Sort -4, n, -2, -1 in descending order.\nAnswer: n, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4960 and 22940?\nAnswer: 183520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztyy when four letters picked without replacement from {d: 8, t: 3, z: 4, y: 2}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w - 25. Let u be q(4). Calculate the highest common factor of u and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + k + 26. Let f(y) = y**2 - 14*y - 120. Let w be f(20). What is i(w)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 125790740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:35 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2901556 + 4494178\nAnswer: 1592622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let r(b) be the first derivative of -b - 1\/6*b**3 + 0*b**2 + 2. Let v(y) be the first derivative of r(y). Calculate u(v(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 5*r**2 - 8*r + 6. Let m be q(-4). Let j be m + 12 + 11\/(-5). Which is the third biggest value? (a) -1\/4 (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8874 + 23187. Let o = -14230.89 + s. Let h = o - 82. Round h to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490506619 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: Let s(r) = -5*r - 20. Let l(j) = -2*j - 7. Suppose 3*k = 3, 0 = 2*d + 3*d + 2*k + 83. Let y(q) = d*l(q) + 6*s(q). What is y(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n + 33. Let g(v) = -v**3 + 12*v**2 - 12*v + 16. Let x be g(n). Solve -2*f + 3 - x = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -311 - -1255\/4. Calculate the common denominator of d and (-4)\/12 + (-290)\/(-192).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 352 + -121. Let n = c + -147. What is the greatest common factor of n and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483200 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + t + 2*t - t - 2*t + 0*t - 2*t - 1 + 1 + 3*t + t - 2*t + (3*t - 2*t + t)*(1 + 3 - 3) + 0*t - 3*t - 5*t to y*t + v and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 347, -3\/4, 0.2, 16, 2\/15 in increasing order.\nAnswer: -3\/4, 0.1, 2\/15, 0.2, 16, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2224\/5 + 445. Sort 1\/2, 4, -4, l in decreasing order.\nAnswer: 4, 1\/2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + 3*b**4 - 4*b**4 + (0*b + 3*b - b)*(2*b**3 - 5*b**3 + b**3) - 4*b**4 + b**2 - b**2)*(440*b + 2846 - 2846 + 325*b).\nAnswer: -7650*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326316915?\nAnswer: 5, 7, 11, 349, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 4235562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -14 + 7 + 16 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 15) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 10, c: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 11. Let n be w(1). Solve -32*j + 31*j = -n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38630.\nAnswer: 2, 5, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 23, 23, 19, 11, -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.225728cm in millimeters?\nAnswer: 92.25728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22358828, 22358824, 22358818, 22358810?\n\"Answer: -k**2 - k + 22358830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*i + 66. Suppose -3*y = -i - 1. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258401 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: Find the common denominator of 3\/86120 and 13\/624370.\nAnswer: 2497480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(1 - 1 - 1) + (1 + 1 - 3 + (2 - 2 - 2)*(-2 + 0 + 1))*(69 + 1233 + 44))*(o + 3*o - 2*o).\nAnswer: 2688*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/297 + (-40774)\/(-1566)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 118, 135, 176, 253, 378, 563, 820, 1161?\n\"Answer: 2*c**3 + 3*c + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = b - 1. Let o(r) = r**3 + 6*r**2 - 3*r - 3. Let w be o(b). List the prime factors of (w\/(-6))\/((-2)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 3. Let w be v(8). Suppose -2*q = -3*q + w. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*b + 63, -3*w + 2*b - 126 = -8*w. Let z be w\/32 - 3\/4. Solve -2*h = 2 - z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.94 - 0.06. Let p = n + 11. Which is the nearest to 2? (a) p (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7254 is divided by 303.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52735040?\nAnswer: 2, 5, 223, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i. Let j(s) = -244*s**2. Determine v(j(z)).\nAnswer: 976*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*s = 55*s + 16667. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 9*f + 36. Calculate q(13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -4*f + 20, -s - 9 = 26*f - 28*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 309*z**2 - 3190*z + 2. Determine f(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 407709237557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 241595256 and -452?\nAnswer: 241595708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 467797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 take away 33542192?\nAnswer: -33542192.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 6*m**2 - 142*m + 444. Determine x(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5771039.65 to the nearest ten thousand.\nAnswer: -5770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 + 7. Let x(o) be the first derivative of 2*o**3\/3 - 41. Give n(x(l)).\nAnswer: -12*l**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**9\/113400 - v**8\/16800 + v**7\/4725 - 21*v**4 + 2*v - 22. Let u(t) be the third derivative of a(t). Factor u(n).\nAnswer: -2*n**2*(n - 1)*(n + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032638+-144.4\nAnswer: -144.432638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 455.9998935 - 456. What is i rounded to 6 dps?\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + sqrt(847))*-3 + 0)**2*-5.\nAnswer: -38295 + 1980*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d - 5. Suppose 393*x - 784*x = -378*x + 65. Let z(m) = 6*m - 3. Give x*z(a) + 3*c(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -14*v - 10 + 67. Put -49, 0.1, v, -4, 2 in decreasing order.\nAnswer: v, 2, 0.1, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 + 0?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 327 and 1295901?\nAnswer: 1295901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-64)\/112)\/(5\/35). Sort i, -1, -194 in ascending order.\nAnswer: -194, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.64 - -0.14. Let w = -2.076 - q. Round w to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ee9c + -5?\nAnswer: ee97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**2 - 91*v + 188. What is f(11)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -17 (c) -2 (d) 1\/6 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02211082923 rounded to 5 dps?\nAnswer: 0.02211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3159.6 - 3160. Which is the third smallest value? (a) -293 (b) v (c) -0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4801 = 2*m, 3*z + 0*z - 4807 = 4*m. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 789991 + -459104. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24 + -26 - (-15935 - -1). Suppose 20*q = 6*q + n. Is 34 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -379.88653 to the nearest integer.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Suppose 3*k + 143 = 5*f + 7*k, 2*f - k - 52 = r. Suppose -3*a + f = -0. What is the least common multiple of a and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 7*s - 12*s + 8*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -50, 2\/21, 0.3?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245\/(-140) + 31\/4 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 74. Determine q, given that v - 4\/9*q + 2\/9*q**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-7))\/(0 - (-2)\/140). Calculate the greatest common divisor of 480 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 968, 3835, 8614, 15305, 23908?\n\"Answer: 956*p**2 - p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-12072))\/(6\/119307). Let s be 1517\/(-2012) - 3\/(-4). Let k = s - f. What is the common denominator of -115\/14 and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = q + 39, -5*h - 93 = 3*q. Let t be -5 - ((1 - 6) + q). What is the greatest common factor of 252 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*g - 1799 = 6*g - 8903 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153610*v**4 - 67*v**3*y + v**2*y + 263123*v*y - 19*v wrt v?\nAnswer: -1843320*v**2 - 402*v*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-3*sqrt(84) - sqrt(84))\/sqrt(12))**2 + 3 + (sqrt(7)*2)**2 + (4 + 2 + sqrt(7) - sqrt(7)).\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = -k - 4*k, 3*k + 5*i + 25 = 0. Suppose 0 = 5*c + g - 28, 2*c - 18 = -k*g + 3*g. What is the remainder when 4 is divided by (8\/(-12))\/((-2)\/c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13232 - -121300?\nAnswer: 201132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -261488*-1.9\nAnswer: 496827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14974 = -728*s - 493*s - 273*s - 159824 for s.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 229728 and 24?\nAnswer: 229728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 810962687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1507 times 1.9487\nAnswer: 0.29366909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1701109.95 rounded to the nearest 10000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-21*(-18)\/315)\/((-69)\/4370)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 594.98 to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17150375 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 - -114.08. Which is the nearest to -0.1? (a) m (b) 1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -637, -1261, -1883, -2503, -3121, -3737, -4351?\n\"Answer: x**2 - 627*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 1, r: 1, e: 1, g: 1, o: 2}. What is prob of sequence gma?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759101647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -1, -0.1, 21.\nAnswer: -113, -1, -0.1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 46. Suppose 0 = u - 3 - k. Factor 2*w**3 - 7*w**2 - 4*w**3 + u*w**2 + 50*w**4 - 44*w**4.\nAnswer: 2*w**2*(w - 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 2*r + 3*r**2 + 13*r**2 - 3*r. Suppose -4*x - 6 + 14 = 0. Let t be x\/3*3\/2. Determine n(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 times 0.18\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -35465716\nAnswer: 5\/35465716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.13 - 10087599319\nAnswer: -10087599321.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2160*l**2 + 2111*l**2 - 8409*l**2 + 2137*l**2 - 12 + 2155*l**2 to the form r*l**2 + d*l + o and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-199)\/(-5) + (-4)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0*w**3 + 1\/2*w**4 - 1\/20*w**5 + 4*w + 0*w**2 + 0. What is the third derivative of k(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -12 + 0 + -3 - -18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 2, o: 1, h: 4, f: 1}. Give prob of sequence bkfo.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 - 10*o + 8 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 157*k**2. Let d(r) = -249*r + 131. Give d(s(n)).\nAnswer: -39093*n**2 + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-35)\/21)\/((-3)\/54). Solve l = 2*q - 5*s, q + 3*q = 4*s + 36 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6719060 is divided by 3359495.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 199*x - 1059. What is k(6)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-696*j**3 + 618*j**3 + 984*j**3)*(2*j**2 - 2 + 2 + 1).\nAnswer: 1812*j**5 + 906*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22196999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -57.\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 11) to base 4.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((((s\/(s**(-10)*s))\/s)\/s)\/s))\/(s\/(s\/(s**(-11)\/s))*s))**(-5\/9) assuming s is positive.\nAnswer: s**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.033973 rounded to two dps?\nAnswer: 13.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/16 - 2 - 42\/(-112). Let f(z) = -4*z - 5. Give f(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53639384, 53639402, 53639418, 53639432, 53639444, 53639454, 53639462?\n\"Answer: -h**2 + 21*h + 53639364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0. Let l = w + -0.2. Let o be (15 - -14) + 11266\/(-387). Which is the closest to -10? (a) 3\/4 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/41, -0.03259?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3761877 and 0.2.\nAnswer: -3761876.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/2)\/(2 - 2 - -2). Let b be (-28)\/(-21) + k + (-10)\/(-6). Solve -2*p - 12 = -b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -712562 (base 8) in base 16?\nAnswer: -39572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o - 8. Let u = -4 - o. Put u, -2, 2 in ascending order.\nAnswer: -2, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8985*d**2*m + 19*d**2 - 23 wrt m.\nAnswer: -8985*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.033 in -4, 96, -57?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 9*y**2 - 11*y + 10. Let f be 80\/24*3\/1. Let c be g(f). Solve 0 = 5*t - 6 - 4, 5*h + 5*t - 25 = c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 4, f: 3}. What is prob of picking 2 f and 1 m?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6600 is divided by 1319.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863*u**3 + 0 - 2 + 3 + 3*u.\nAnswer: -863*u**3 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*d = 48*d + 100 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/540 and 29\/350220.\nAnswer: 3151980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 381692 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*d - 288. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 15\/(-18)*-12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -2 + -2 + 2. Let s = f - 1. Let c = 3 + -3. Solve s = -m - 2*j + j, 4*j + 4 = c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23016871.\nAnswer: 139, 165589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -131, -134, -137, -140?\n\"Answer: -3*a - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/4081)\/((-44)\/(-25652))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z**2 - 2. Let h(s) be the second derivative of 0*s**3 + 0*s**2 + 3 + 5\/12*s**4 - 23*s. Calculate h(w(n)).\nAnswer: 1125*n**4 + 300*n**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-250)\/(-100)*12\/10. Suppose -a*f + 17 + 64 = 0. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 10) to base 13\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) -1 (d) 0.4 (e) -1\/665 (f) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(320)*-1 + sqrt(320) + -5)**2 + -5.\nAnswer: -640*sqrt(5) + 10285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by 282.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.457 * 5.\nAnswer: -2.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2186*y**4 + y**3 - 58433*y.\nAnswer: -26232*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 = 7*h - 397. Solve 3*w - h = -0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 2, t: 5}. Give prob of picking 2 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o - 3. Suppose 12 = -o*k + 7*k. What is the third derivative of -3 + 2 + 2*u**2 - k*u**5 + 1 wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944400 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -71, -182, -381, -698, -1163?\n\"Answer: -5*n**3 + n**2 - 21*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/8 and -47\/228?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55031 is divided by 6475.\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p - 1346898 = -1347442 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/10 + (60\/(-45))\/((-10)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqr when three letters picked without replacement from {t: 3, i: 3, z: 1, q: 1, r: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, 6, -6 in ascending order.\nAnswer: -10, -6, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -40798, -19, -5.\nAnswer: -40798, -19, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20034422 (base 5) to base 13.\nAnswer: 57337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 7.4. Let o = d + -0.5. Let c = 4 + -3.8. Sort o, -4, c in descending order.\nAnswer: c, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i + i**3 + (-2*i**2 + 0*i**2 + 0*i**2)*(-1 + 1 - 2*i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 162338.6\nAnswer: -324677.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**6\/48 - 205*y**5\/6 + 1546*y**2 - 2. Factor d(x).\nAnswer: -5*x**2*(x + 820)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18718 + -18675. Calculate the remainder when 6274 is divided by d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 4*h**2 + 8*h - 4. Let i = -14 - -8. Let v be l(i). Suppose 0 = 3*k - 17 - 13. What is the highest common divisor of k and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -6, -2\/13, 37416, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -173*c - 19. Let v be g(-15). Suppose 10*y = v - 26. List the prime factors of y.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*i + 46*i - 201026. Let p = -6212 - i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6\/(-76)*1\/(-6)*4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 0*q - 43*r + 40*r = -27, -49*r = 3*q - 45*r - 73 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (616\/(-231))\/((-2)\/(-3)). Let a be (58 - t) + 8 + -5. Calculate the greatest common factor of a and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48370, -96741, -145112, -193483?\nAnswer: -241854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -10 + 38. Let y be (-2)\/u - 300\/70. Calculate the smallest common multiple of 20 and 12\/(y + 1)*-3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -40. Let v = 8 - 8.1. Which is the closest to v? (a) g (b) 1\/3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/200018*26*2.\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 0.1. Let u = 28 - 27.2. Let p = 1.3 - u. What is the nearest to 0 in f, 1\/3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = 3*o. Let f = -3 + 20. Suppose 5*w - o + f = 0. Put -5, 4, w in descending order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, and 1 s when three letters picked without replacement from {x: 3, n: 1, l: 1, s: 2, f: 3, a: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 7*o. Let q be m(-6). Suppose -q = -u - 4. Let y(l) = -4*l + 4*l - u - 2*l. Calculate y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406708651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + -105. Solve -4 = u*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -1.02. Let n = 581 - 581.6. Which is the nearest to p? (a) n (b) 4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 932363171 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561726 is divided by 2621.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -4*p - 68. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p*x**3 - 49*p*x - 2*p + 165 with respect to x.\nAnswer: 9*p*x**2 - 49*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 7*h**2 - 7*h - 8. Let a be c(-6). Let p(y) = -y**3 - 5*y**2 - 4*y - 2. Let i be p(a). Let r = 24 + i. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5932, -11862, -17610, -23170, -28536?\nAnswer: -33702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, g: 5, n: 2}. What is prob of sequence og?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -3, 6, 19?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05813 - 17?\nAnswer: -15.94187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1092 - -2245\/2. Let x = n + -29. Determine h, given that 1\/2 + x*h**2 - 2*h = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210135 (base 7) to base 14\nAnswer: d21c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*r**3 + 18*r**3 - 8 + 16*r**3 - r**3 - 1 + 2 + 6*r**3 + 2*r**2 + r**3 - 2*r**2 + (r**2 + 3*r**2 - 2*r**2)*(-5 + r + 5).\nAnswer: 11*r**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44\/3 + -97\/6. Let h = -3.44 + 3.04. Which is the smallest value? (a) h (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -304*l**3 + l**2 - 3*l - 4. What is the tens digit of h(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1021.24 and 1?\nAnswer: -1021.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 32 = -3*n + 7, -2*n = -k - 39. Suppose 0 = -x + 55 - 13. Suppose b = 4*b - x. Calculate the least common multiple of b and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2. Let t(l) = -14983*l**2 + 12*l. What is t(d(f))?\nAnswer: -59932*f**4 + 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1355, 1, -27, -73 in increasing order.\nAnswer: -1355, -73, -27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 2*q - 1 - 156*q**2 + 182*q**2 - 556*q**4 + 2 wrt q?\nAnswer: -13344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4354*f**4 + 148026*f**3 - 340*f**2.\nAnswer: 2*f**2*(f + 34)*(2177*f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Let u = i - -2. Suppose 3*c + 4*s - 24 = 11, 40 = 4*c + u*s. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-1\/23))\/y*y))\/(y**(-3\/14)*y))**26 assuming y is positive.\nAnswer: y**(-3107\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -25 + 13 - 17\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2\/9 (c) -0.3 (d) -2 (e) -886\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 11*x - 4. Let w be l(-11). Let v be 1*(5 + (w - -1)). Suppose 15 = -f - 2*f, 3*f = v*j - 97. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*i + 81*i + 149*i + 9210 = -13*i for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 59589, 476560, 1608293, 3812166, 7445557, 12865844, 20430405?\n\"Answer: 59563*u**3 + 3*u**2 + 21*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 21 = 41. Let z be (r*1)\/(6\/(-10200)). What is z rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14649581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 973 + 222. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a + 2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*-328022\nAnswer: 656044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 + 0.8. Let n = -5364 + 5365. What is the smallest value in 0.06, a, -1\/4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24111776 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 j(x) = 3*x**2. Let m(q) be the first derivative of -q**2\/2 - 7. Give m(j(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 14. Let h be c(7). Let n(g) be the second derivative of -g**3\/2 - 4*g**2 - 7*g. Is n(h) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 6. Let g(o) = -14*o**2 - 77. Let h = -321 + 321. Suppose -5*a + 0*d - 4*d = 401, 4*a + 3*d + 320 = h. Calculate a*j(b) - 6*g(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*g**3 + 4*g**3 - 3*g**3)*(-2*g + 3 - 3)*(-1 - 8 - 3) to the form j*g**2 + p*g**4 + t + c*g**3 + o*g and give p.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -383340*s**2 + 3853*s + 3?\nAnswer: -766680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:30 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 1\/2*u**2 + 6*u + 18. Let q be v(-5). Are q and -1\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*u + 3*o + 27, u + 3*o - 19 = 0. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5521 divide 757260360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.26 + 16. Let n = -16.06 - -16. Let j = s - n. What is the closest to 0.2 in 3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -971505.6 and 10.6999?\nAnswer: 971516.2999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23 + (3 - (3 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -i + 44, -150 = -5*k - 130*i + 136*i. Let c(v) = 13*v**2 - 2*v - 2. Let w be c(2). Suppose -49 = -5*r + w. Are r and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1734*r - 5*z = 601*r + 459*r + 547*r - 244, -3*z - 8 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 737478732.1 + -737478725.519999554. Let n = m + -6.58. What is n rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 >= 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 9*j**2 + 5. Suppose -5 + 32 = 3*m. Let a be n(m). Suppose 0 = -135*c + 134*c + 3. Solve a*k = c*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**7\/1260 - 253*o**4\/24 + 213*o**2. Let k(g) be the second derivative of x(g). Let u(v) = v + 11 + 4 + 0*v. What is u(k(m))?\nAnswer: 2*m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 216\/515 - 2\/103. Solve 6\/5*t**3 - 2\/5*t**4 - 6\/5*t - m*t**2 + 4\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0993 to three decimal places.\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-3)\/(-2)*-1. Suppose -4*m + 3 - 51 = 0. Let a = j - m. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c = -209*c + 6172902. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -819792209 by 1.\nAnswer: -819792209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 33. Let d = 2 + x. List the prime factors of (-3)\/(-12) + 117\/d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 9*a**2 - 4*a + 6. Determine i(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 1, d: 2, k: 6}. Give prob of picking 1 b and 1 k.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22270723\/473 + -47084. Calculate the common denominator of 17\/6 and p.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 662062 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50325949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.93 - -30. Let f = 1 - 0.9. Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + n = -8, -3416*k + 36 = -3413*k - 3*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 170082.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 356*r**2. Let z(c) = 282*c + 6. Let x(v) = -46*v - 1. Let f(s) = 6*x(s) + z(s). What is f(q(j))?\nAnswer: 2136*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3668802 + 3668817.59231. Let f = b + -15.6. What is f rounded to 4 decimal places?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4085643?\nAnswer: 3, 79, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/s**(-4)*s*s*s*s**38*s*(s**5*s)**11 assuming s is positive.\nAnswer: s**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*a + 9, -4*a + 48*m - 47*m = -23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131922079*l**4 + 1207199*l - 124.\nAnswer: -1583064948*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 847 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -37, 404, -2 in ascending order.\nAnswer: -37, -3, -2, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 2*y**3 + y**2 + 68*y**3. Is t(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + o - 1. Let u be m(2). Suppose 16*s = -36*s + 52. Put s, -7, u in decreasing order.\nAnswer: s, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -9*s + 3*p + 3, 4*p + 20 = 4*s. Solve 0 = 3*y + s*x + 6, 0 = 5*y - 3*y - 3*x + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 1, t: 10, x: 2}. What is prob of picking 2 t?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*x**2 + 3 - 2 + 0*x**2 - 31*x**4 wrt x?\nAnswer: -124*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.574*-0.7804.\nAnswer: -1.2283496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = 58. Suppose -107 = 4*j + k, 3*k + 2*k - 5 = 0. Let s = r - j. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763876163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1841*w + 7321*w - 1822*w - 2*w**3 - 1823*w - 1835*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.71 - 0.71000047. Round l to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s - 36. Suppose 5*u = -5*z + 638 - 88, -2*z = -4*u - 202. Suppose -s*p - 35 + z = 0. Solve p*y = 7*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = -d + 10*d. Solve 5*a - 4*j + 33 = d, a = -4*a + 3*j - 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72, -7, -198, -555, -1132, -1983, -3162, -4723?\n\"Answer: -9*m**3 - 2*m**2 - 10*m + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 + 235 = 51*m. Let h = -20 - -35. Calculate the remainder when h is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 4*c**3 + 9*c**3 - 2*c - 7*c**3.\nAnswer: -2*c**3 + 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 + 12*z**3 + 7*z**3 + (z**2 + 2*z**2 - 4*z**2)*(-2*z + 0*z + 3*z) + (4*z**3 - 4*z**3 + 2*z**3)*(17 + 8 - 1).\nAnswer: 63*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*j - 149 = 13, -126 = -3*v + 3*j. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:45 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11*(-16)\/(-1056)*2022 is divided by 101.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-1) - (9 + -8). Let t = o + -5. Suppose 0 = 3*i - t*i + 879. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152492 divided by 11.\nAnswer: -152492\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**5\/5 + 1782*o**4\/5 + 178107*o**3\/5 + 813672*o**2 + 1487700*o = 0.\nAnswer: -475, -87, -30, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 4. Let y = 135\/7 - z. Is 2\/7 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20420 and 40840?\nAnswer: 40840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 h, and 2 e when four letters picked without replacement from {c: 4, b: 4, h: 2, e: 4}.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2902612 divided by 11\nAnswer: 2902612\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2076, -8515, -19336, -34539, -54124, -78091, -106440?\n\"Answer: -2191*c**2 + 134*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(0*n + 0*n + 3*n).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 17. What is the remainder when 23 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(-2*sqrt(5)*-6 - sqrt(5)).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/60 + p**4\/8 + p**3\/2 + 5*p**2. Give c(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103160 and 6171547?\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/13, -640, 1 in descending order.\nAnswer: 2, 1, 2\/13, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 7:33 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 10:42 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2616.659ml?\nAnswer: 2.616659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 5*d - 15, -27*s - d = -25*s - 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 67 = -109. Suppose -5*q = -10, 4*q + 3 - 1 = d. Suppose -w*l + d*l = 192. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1737498*q - 2205 + 1737498*q + 2004*q**3 wrt q?\nAnswer: 6012*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -87\/2. Let w = 0.05 - 7.05. Let u = w - -6.7. Sort q, u, -1\/8.\nAnswer: u, -1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8840*w**3 + 16*w - 17*w - 8979*w**3)*(-5 + 2 + 1)*(4*w - 2*w - 4*w)*(0 + 3 + 0).\nAnswer: -1668*w**4 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76624556819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 524 = 4*z, -z + o + 649 = 4*z. Calculate the remainder when z is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -0.025?\nAnswer: -7.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 10*n**2 - 33*n + 381. Calculate z(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 6*i. Let y(o) = -o**3 - o. Let z = 53 - 45. Suppose -z = -2*h - 6. Give h*c(p) - 6*y(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 - u**2)*(0*u + 2*u - u)*(-3 + 2 + 2)*(-215*u - 22*u + 7*u).\nAnswer: 460*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -37*m + 160. Let v(n) = -2*n**2 + 2*n + 5. Let t be v(-2). List the prime factors of x(t).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 2*q)*(0 + 2*q + 0 - q + q + 3*q + (5 - 4 - 3)*(3*q + 5*q - 5*q))*(-5*q + 0*q + q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 - 20200110020002?\nAnswer: -20200110021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 8*d + 10. What is z(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027649856 rounded to 6 decimal places?\nAnswer: -0.000276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1008\/(-27)*(-5 + 1 - -61504). Round l to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 39*m**2 + 72*m + 14. Let r be u(-41). Calculate the greatest common divisor of r and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3695 take away 260?\nAnswer: -259.6305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.39 and 0.28.\nAnswer: -6.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*l - 212, 198 = -9*l + 11*l + 3*a. Suppose 0 = -13*s + 18*s - 30. What is the highest common divisor of s and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1052*n - 2*o - 11 = -1051*n, -6 = 5*n + 3*o. Let k(q) be the second derivative of -2*q**3\/3 + 5*q**2\/2 - q. Let h(c) = 3*c - 4. Give n*h(a) + 2*k(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -211635, -846306, -1904089, -3384984, -5288991, -7616110, -10366341?\n\"Answer: -211556*j**2 - 3*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -17*q - 1. Let n = 14 - 16. What is the remainder when a(n) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 176 = 4*z - 3*d, -202 = -5*z + 2*d. Suppose -5*o + 6*o = 4*i + 20, -3*o + 3*i = -z. Suppose o = r + k - 3*k, k = 4*r - 76. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2122553 - -4?\nAnswer: 2123001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/193, -2\/7, -5, 0.72, -2\/23 in descending order.\nAnswer: 0.72, -4\/193, -2\/23, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/104041 and 19\/267.\nAnswer: 312123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59.016 - 0.016. Is j greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/60 - 3*j**5\/20 - j**4\/8 - 11*j**3\/6 + 29*j**2. Is p(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 12. Let q be (-1 + 6\/4)*(63 + -53). Give g(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddnnd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 911, 3828, 9121, 17144, 28251, 42796, 61133, 83616?\n\"Answer: 59*y**3 + 834*y**2 + 2*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (21 - 15 - (2 + 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000499022 to 6 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 47 + 26*s + (1 - 1 - 3)*(1 - 2*s - 1) to a*s + w and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(11))*-5 + 2).\nAnswer: -30*sqrt(11) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 - -18.3. Let w = -15 + m. What is the second biggest value in 2, 34, -2\/5, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 24*o**4 - 108*o**3 + 162*o**2 - 81*o = 0.\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (11 - (4 + -2 + -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-12 + 26) - (-3 + 1) - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.1, 3, 1, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 240 = 4*w - 6*r, 4*w = 5*r - 248. Let y = w + 67. Let z = -3 + 6. Solve -y = 5*g - z*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 123, 146, 191, 264, 371, 518, 711?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 2923?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 2. Let o(d) = 4*d - 11. Let s(a) = 11*l(a) + 2*o(a). Let u be s(-3). List the prime factors of u\/(-12)*-1*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 75 = 18*d. Let g be (-5 + 0 + d)\/(-3). Let h be -2 + 2 - -5 - 2. Solve -h*w - w - 8 = g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3a?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845952 divided by 13218.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 28*t - 14. Let h be v(1). Solve -5*x - 26 - 4 = -5*l, 4*l = 2*x + h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 215 = 214. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvvvvvvwwvvv. What is prob of sequence wwvv?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3387343 (base 10) to base 5.\nAnswer: 1331343333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 12*k - 15. Let o be -13 + 4 + (-1 - 9\/(-3)). Calculate r(o).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -138. Let y = 60 - u. Which is the fourth biggest value? (a) 0 (b) -0.1 (c) -0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10634046 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, b: 1, c: 2, x: 1}. What is prob of picking 1 x and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23461881341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (25 + -41 - -13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrjqrjmr. What is prob of sequence rj?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:11 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 4*g + 69. Let r be f(0). Suppose 79 = 5*c + r. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/464271 and -19\/31.\nAnswer: 14392401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7222 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - m - 4*m. Let f(k) = 7*k - 2. Suppose 1 = -4*v + 1. Suppose 2*c - h - 4 = 0, v = 3*c - 4*h + 6*h + 1. Give c*f(q) + 5*a(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -811, -3232, -7257, -12886?\n\"Answer: -802*u**2 - 15*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c. Let w(q) = -q. Let m(i) = 2*i + 34. Let j be m(-8). Let f be (4\/6)\/(j\/27). Give f*l(z) + 2*w(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**6\/6 + 5*n**5\/4 + 5*n**4\/4 - 15*n**3\/2 + 3*n. Solve c(a) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 18768*b**2 - 370*b. Let s(q) = q**2. Determine r(s(l)).\nAnswer: 18768*l**4 - 370*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27976340*v**6 + 3*v**2 + 4425*v - 228.\nAnswer: -3357160800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43, 0, 2\/3, 48, -2\/3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**3 + 0*t**2 + 28\/15*t**6 + 0 + 0*t**4 - 7*t + 0*t**5. What is the second derivative of q(c) wrt c?\nAnswer: 672*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2 = -3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -4*l - 28. Let u = l + 46. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 2*x**2 + x. Let j be h(1). Let z be (-3)\/j*(-3 - -11). Calculate the highest common divisor of 60 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - o - 2*o + 6 - 2*o. Let g be p(5). Let a(m) = -6*m. Let q be a(-5). Calculate the highest common divisor of g and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345124?\nAnswer: 2, 13, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0166435 and 0.077.\nAnswer: 0.0012815495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -19\/120*u**6 + 0*u**5 + 3*u**2 - 71\/24*u**4 - 7 + 0*u + 1\/6*u**3. What is the second derivative of n(y) wrt y?\nAnswer: -114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/5*(-11)\/220\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + p - 5, -10 = -2*x - 0*p - 2*p. Let f = -25 + 46. Let l = f + -7. Solve -2*y + 2*r + 10 = 0, -4*y + x + l = -r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:31 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e (base 16) in base 15?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**2\/2 + 13*u + 1. Let n(i) = -14*i**3 + 2*i + 1. Let h be n(-1). What is the units digit of v(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013599334 rounded to 6 dps?\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*o - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-1) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -2. What is the lowest common multiple of (-168)\/60 + (-1)\/5 + 5 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + -9. Let a = 0 - c. Suppose 2*f = -s + a, -3*f - 6 = 5*s - 33. Solve 0 = 2*x + 5*g + 11, 2*x = -x + g + f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 483 - -154541?\nAnswer: 1549c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 368, 1493, 3388, 6071, 9560?\n\"Answer: 3*q**3 + 367*q**2 + 3*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 4*m - 4. Let o = 7 + m. What is the second smallest value in 3, -0.3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 11*g - 25. Give v(7).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1029 + -1024. What is the nearest to 6\/7 in 2, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72299 - 72299. Factor 0*p**2 + 3\/2*p**3 + 0 + 1\/2*p**4 + q*p.\nAnswer: p**3*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 49845. Let h(t) = -39*t**2. What is o(h(w))?\nAnswer: -1521*w**4 + 49845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 7*x**2. Let a be j(-7). Suppose 57*t - 56 - 229 = 0. Let d be 13*3\/(0 + 3). Solve a = 2*n + d - t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - (-100)\/12)*(-168)\/(-140).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98175294 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 0)*(-3*u**3 + 6*u**3 - u**3)*(-1 + 1 + 7*u) - 5*u**4 + 8 - 8 as r*u**2 + i*u + o + a*u**4 + q*u**3 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18696 + 390647. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*q - 170, 515 = 4*z + 2*q + 151. Solve z*o - 71*o + 36 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 974061386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118148976 divided by -428076.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmj when three letters picked without replacement from {j: 6, t: 6, r: 4, m: 3}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d + 11. Suppose y - 2*y = -3. Suppose y*p + 32 = 4*j - p, 2*j - 4*p - 16 = 0. Is l(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**5\/10 - 101*i**4\/6 - 100*i**3\/3 - 2*i + 75. Factor x(w).\nAnswer: -2*w*(w + 1)*(w + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5))**7*(f\/(f\/f**(-1\/7)))\/(((f*(f*f**(13\/5)\/f)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(-1251\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 81 = -i, -417*y + 841*y + 99 = 418*y + 3*i for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-40))\/((-1)\/(-6)))\/((-80)\/((-93840)\/207))\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*f**3 + 190921*f - 190921*f.\nAnswer: 73*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 7 - -5 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 56 = 4*j - 4*u, -4*u = -j - 1. Let n = -22 + j. What are the prime factors of 147*(-1)\/n*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*v - 252*v - 48 = 0. Put 3, -7, 5, v in descending order.\nAnswer: 5, v, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 + 6*v\/13 - 8\/13.\nAnswer: 2*(v - 1)*(v + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 698480 divided by 4?\nAnswer: 174620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 7, y: 6, i: 1, a: 2, w: 2}. What is prob of picking 2 y?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 451609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000 + 22?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*a + 2060 = 0, 2*w - 2*a + a - 1030 = 0. Let l = w - 498. Calculate the remainder when 22 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2. Let b(z) = -6*z**2 - 2. Let v(a) = 8*a + 31. Let w be v(-4). Determine w*b(f) + s(f).\nAnswer: 5*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.04, 5, -2.\nAnswer: -2, 0.04, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 490559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*w - 20212 = 0, 0 = 4*p - 0*p + 5*w - 80863. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 26 + 25 - 51.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4765, 4793, 4821?\n\"Answer: 28*w + 4737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -666*h**4 - 27*h - 87*h**2 - 32*h**3 - 37*h**2 - 61*h + 670*h**4.\nAnswer: 4*h*(h - 11)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*x + 6*x. Let m = x + 11. Let n(p) = -p + 3 + 2*p**2 - 1 - 2*p. Calculate n(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*v - 53 = 0, 6*n = 2*n + 5*v + 50. Calculate the smallest common multiple of 24 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 - 11*i**3 + 14*i**2 + 34696*i wrt i?\nAnswer: -40*i**3 - 66*i + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 2*n**2 + n + 2*n**2 + n**3. Let g(j) = -6*j**3 - 7*j**2 - 7*j. Let u(c) = 4*c - 4. Let m be u(1). Suppose 0 = -x - m - 5. Give x*l(z) - g(z).\nAnswer: z**3 + 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 11*r - 23. Let d(i) be the first derivative of -6*i**2 + 24*i - 11. Let y(o) = 4*d(o) + 3*w(o). Is y(-7) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 2*r**2 + 2*r - 1. Let j be v(-1). Let q(u) = -102*u + 12. List the prime factors of q(j).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 119.\nAnswer: -4.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.77811 to 1 decimal place.\nAnswer: -50.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t - 9. Let v be k(4). Let c = -52 - -90. Suppose -g = g - c. Calculate the greatest common divisor of g and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47412 and 4159964?\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*g + 2*u = 75*g, 40 = 4*g + 4*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1758, -6, -26, 27.\nAnswer: -1758, -26, -6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from cormcchcomrcmmc.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 37856.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2 + 65796*w + 5832081 = 0.\nAnswer: -21843, -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**4 - 6 - 2*r**3 - 2*r**2 + r**2 + 5 - 3*r + r**3 to the form h*r**4 + k + u*r**2 + a*r + w*r**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - -150?\nAnswer: 16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 6 - -13 - 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(2736) + -3 + sqrt(2736))**2 - 1*sqrt(152)\/(sqrt(32)\/sqrt(4)))*6.\nAnswer: -131437 + 1722*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 294\/1525 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1553 - -86. Calculate the greatest common factor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 12*q**2 - 9*q - 3. Let s = -20 - -9. Let f be z(s). Let p = -0.4988 - -0.8988. Sort p, 3\/2, f in decreasing order.\nAnswer: 3\/2, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -5, 2 in increasing order.\nAnswer: -5, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45.1 - -47. Let l = d + 0.1. What is the third smallest value in l, -5, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrererere. Give prob of sequence erer.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -50, -70, -86?\n\"Answer: 2*q**2 - 30*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1298641 - 6501359. Round l to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5570*m + 7798. Let d(k) = -2*k + 2. Determine 15596*d(j) - 4*h(j).\nAnswer: -8912*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72156 is divided by 5541?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -422687 - -315?\nAnswer: -422372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r. Suppose 6*g + 51 = 4*p + 9*g, 34 = p + 5*g. Let a = -8 - -10. Let z(j) = p*j**2 + 7*j**2 + 0*j**a - 15*j**2. Calculate z(m(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3*u**3*z**2 + n**3*u**3 + 38*n**2*u**3*z - 2987*n*u**3*z**2 + 2*n*u**2*z - 12*z wrt z.\nAnswer: 8*n**3*u**3 - 5974*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -4*g + 5*p, -6*g + 2*g - 4*p - 12 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -280*b - 52840. Give v(-188).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 57?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**5\/5 - 26406*q**4\/5 + 105669*q**3\/5 + 765914*q**2\/5 + 126768*q = 0?\nAnswer: -26410, -3, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.43895ml in litres?\nAnswer: 0.00543895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 - 262. Find the common denominator of 3\/b*-9*(-9)\/(-2) and 119\/10.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33\/7 + -885\/112. Calculate the common denominator of 5 + (-558)\/(-28)*(-4)\/24 and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - 3 - 28\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 812.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v - 5. Let w be s(-1). Let h(k) = -2*k**2 + k + 32. Let j be h(w). Calculate the highest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4190982 by 19.\nAnswer: -220578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0399598649 and -0.9.\nAnswer: -0.9399598649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 202 - 202.3. What is the biggest value in -0.1, 5\/2, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 2240 = 218*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 bigger than 344856\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k**2 + 119*k + 39. Calculate the remainder when 598 is divided by v(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 76 = 4*w, 2*w - 5*i - 28 = -4*i. Suppose 0 = -5*o + 7*o - w. What is the remainder when 37 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/3)\/((-12)\/74808*-2).\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:26 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45b96 (base 15) to base 10.\nAnswer: -221991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 less than or equal to -397844\/2527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-44) + (-12)\/(-5)*2435\/16071.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 1 = 4*s + 3, 2*s - 766048*v = -766054*v - 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-540)\/(-1431))\/20 - 0*(-3)\/6\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1611*-44.76.\nAnswer: -72108.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9598380, 9598376, 9598372, 9598368, 9598364?\n\"Answer: -4*i + 9598384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s - 27. Let o be d(-8). Solve 0 = -o*y + y - 16, 18 = 5*a - 2*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 28*i**2 + i + 37. Let q be k(-28). Solve -x - q = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*r = -3*m + 27, 33 = m + 2*r. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*c = 634*c + 112 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -133? (a) 3 (b) -5 (c) 3.58 (d) 3\/4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 512.7 (b) 5\/21 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877636958?\nAnswer: 2, 11, 173, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*x - 6, -4*p - 4*x + 9*x - 12 = 0. Solve 2*g - 15 = 3*g + 5*v, g + 1 = p*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/9*(462\/56 - 9)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 789, 2605, 6109, 11859, 20413, 32329?\nAnswer: 48165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 151*b**2*j + 377*b**2*r + b*j*r wrt j?\nAnswer: 151*b**2 + b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6890 - -6856 - ((-1 - -1) + -2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*n - 40. What is the least common multiple of 18 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) + sqrt(171) + 5 + sqrt(19))**2 + -4*sqrt(19)*4.\nAnswer: 34*sqrt(19) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 2, f: 1, j: 1}. Give prob of picking 1 j, 1 r, 1 f, and 1 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(2\/25)\/a*a*a)))\/(a**(-1\/15)*a))**(-22) assuming a is positive.\nAnswer: a**(-242\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 185*c**3 + 7*c**2 + 29*c. Let q(g) = -61*g**3 - 2*g**2 - 10*g. Calculate -2*j(y) - 7*q(y).\nAnswer: 57*y**3 + 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 19. Let k be 0 - (-3748)\/(-240) - (-4)\/6. Let a = k + 15. Do a and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 1646 - 1806 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) 19 (c) -7 (d) 16 (e) -234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149.3 + -179. Let i = l + 30. What is the smallest value in 2\/17, 4, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153475111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 0.052679.\nAnswer: 0.368753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -0.1, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435866661?\nAnswer: 3, 48429629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g - 20 = 0. Suppose -3*o - 11 + 17 = 0. Suppose 4*b = 2*c - 20, 2*b - o*c - 4 = 6*b. Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*l + 4*m, 5*m = 3*l + 2*m - 12. Solve l*o + 3*b = 3, -3 = -o - 7*b + 4*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 9*f**2 - 4*f + 4. Does 11 divide x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26425)\/6795 - (-217)\/72.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -83, -74, -65, -56, -47, -38?\n\"Answer: 9*c - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 0.1, 5, 4, 0.5, 0.05, -3 in descending order.\nAnswer: 51, 5, 4, 0.5, 0.1, 0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(2\/13))\/m)**30\/(m*(m*(m**(-9)*m)\/m)\/m*m)**(1\/4) assuming m is positive.\nAnswer: m**(1411\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 2049b64?\nAnswer: -2049b5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3 - 1) + 0)*17\/(-68)*4. Determine y, given that 0*y**r + 2\/9*y**5 + 0*y**2 - 4\/9*y**3 + 2\/9*y + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**3 - 5*n**3 + 35*n**3 + 4 + 3*n - 4*n.\nAnswer: 43*n**3 - n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/60*1*-2893*(-3 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*i**2 + 0 - 1\/4*i**4 + 1\/4*i**3 - 1\/4*i**5 + 0*i.\nAnswer: -i**2*(i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5668 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2 - 25040*a - 125225 = 0.\nAnswer: -5, 25045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3\/6 - 39*z - 3. Let x(q) = 27*q**2 - 22*q**2 - 17*q**2. Calculate s(x(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 2*h + 170 = 0, -546*h - 34 = -4*w - 552*h for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k + 5. Let b be h(9). Let l = 67 + b. Solve -3*i - 7*p = -2*p + l, 4*i + p + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.79 + 0.33. Let g = 0.12 - a. What is the second smallest value in -3, -2, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 + 828\/7. Which is the nearest to 0.1? (a) -2 (b) j (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/3 - 185*m**3\/3 + 2066*m**2 - 53788*m\/3 + 84280\/3 = 0. Calculate m.\nAnswer: -215, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Let o = -2593\/10 - -259. Is o != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1\/3, -139\/623, 1.8, 3.\nAnswer: -5, -1\/3, -139\/623, 1.8, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kku when three letters picked without replacement from kkuk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 15\/(-2) - -1)\/((-2)\/12). Solve 5*a = -52 + o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 21 = 4*n. Suppose -11*t - n = -12*t. Suppose f - 6*f + 10 = 0. Solve -3*m = -d - 10, 0 = -f*m - d + t*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*k = 674 + 278. Let n(o) = 2*o**3 + o**2 - 3*o - 2. Let f be n(-2). Is f >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + -5*-1*sqrt(128) - (sqrt(128) + sqrt(128) + 1)*6*-6).\nAnswer: -3696*sqrt(2) - 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.881 + -0.881. What is the closest to 0.1 in n, -5, 2\/245?\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -158)*(-24)\/(-32). Let c be f\/21*(-7)\/2. Solve 4*x - c = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 1:35 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -327*c*l**3*o**3 + c*l**3*o + 9*c*o**3 + 19*l**3*o**2 - 99*l**2*o**2 + 2*l wrt o.\nAnswer: -1962*c*l**3 + 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(136) + sqrt(136) + (sqrt(136) - 1*sqrt(136))))\/(sqrt(96)\/(sqrt(48)\/sqrt(4) + sqrt(12))) - (sqrt(17)*1 + -5 - (-1*sqrt(833))**2).\nAnswer: 11*sqrt(17) + 838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636064410 rounded to the nearest one million?\nAnswer: 1636000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) -2\/7 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 14*q + 5 + 2 - 6. Suppose -17*b = 15*b - 27*b + 5. Determine u(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 376?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = -o, 0 = -4*o - 2*c + 7 + 13. Let h = o + -3. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1215*-0.11.\nAnswer: 133.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 51. Suppose 0*l + s*l = 774. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10647)\/252 - 4\/(-16)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 55 - 10. Suppose -262*x = -269*x + 63. Is y smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2547*d**2 - 244509*d\/4 - 18 = 0. Calculate d.\nAnswer: -1\/3396, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 7:12 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 40384 and 40337 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229\/318 + 6\/53. Let f = -377 - -3395\/9. What is the closest to f in -4, b, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:22 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**4 + 1375*m*q - 215230*q with respect to m.\nAnswer: 16*m**3 + 1375*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z + 28. Determine i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1722 and 18.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 5*w**2 - 25 + 49 - 12.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(55)*-1)\/(-2*sqrt(891)))**2.\nAnswer: 125\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - ((-336)\/(-42) - 7).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 1439. Let v(d) = -141*d + 317. Give w(v(y)).\nAnswer: -141*y - 1122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 6 = -2*f, 4*f + 14 - 17 = 5*h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81137840.\nAnswer: 2, 5, 7, 144889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -40*i**2 + 153*i - 9. Let t(g) = 23*g**2 - 76*g + 5. Calculate -7*t(j) - 4*x(j).\nAnswer: -j**2 - 80*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 532410?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155318913.\nAnswer: 11, 67, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30467 + -21655. Find the third derivative of 43*w**4 + 8794*w**2 + 18*w**4 - m*w**2 wrt w.\nAnswer: 1464*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 117164*a**2 + 468704*a - 468720.\nAnswer: -4*(a - 2)**2*(a + 29295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5001 + 75.0987\nAnswer: 74.5986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 y when four letters picked without replacement from vvvvyvvyvvvyvv.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16573 = 16576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x**(-1)\/x)*x))\/x)\/(x\/(((x**(-32)*x)\/x)\/x)*x)*x**(1\/3)\/x**6 assuming x is positive.\nAnswer: x**(-137\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 101*l + 88*l to the form b*l + d and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 176299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 8. Let g be m(-5). Let f = -43 + g. Let k be f*(110\/(-25) + 4). Solve u + u + k = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 7:09 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j + 1192 = -1784. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964711 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-3) + (-5 - (-42)\/9). Put -4, 3, q in descending order.\nAnswer: 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + 380\/(-50). Let w = n - -20. Let k(v) = 2*v - 19. Let y be k(w). Solve 5 - 3 = -d + g, -y*g = -15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919763877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 947835, 1895669, 2843501, 3791331?\nAnswer: 4739159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1085 (c) 2 (d) 14 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11462?\nAnswer: 2, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 10\/5 - (-5)\/10*-8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1272\/427595?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7563 is divided by 4455.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let y = -3 - h. Let l = 6 - 8. Which is the closest to l? (a) -2\/11 (b) y (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/4 + ((-2373)\/(-12) - -2). Suppose 3*w = r + 2004, 201*r - 2662 = -4*w + b*r. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*z - 6, -5*k - 12 = -3*z - 3. Suppose -2*h + 3*g = 31, z*g = -h - 4 + 11. Let c(j) = j**3 + 9*j**2 + 9*j + 4. What is c(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 677 - 647. Suppose -10*y - 1920 = -d*y. Calculate the remainder when y is divided by 46.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/72 + 0 - (-12)\/54.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 96*w + 94*w - 1858, 0 = -3*x + 2*w + 2789. Suppose 3*u - 30 = -3*f, -u + 4*f - 5 = -0*u. Suppose u*d + 280 = x. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 9*x. Suppose 3*w + 94 + 1889 = x. Let r = -460 - w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*l - 48*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38\/75 - -4\/25. Suppose 5*r + 3*a = -35, 2*r - 5*a + 15 = 1. Let t = 25\/3 + r. What is the closest to -1 in s, t, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(5\/6)*r**(-15))**(1\/22)\/(((r**(-5\/3)*r)\/(r**(-1\/2)*r*r))\/(((r\/(r\/((r**(2\/7)\/r*r)\/r)))\/r)\/(r*r\/(r**(-1\/4)*r)))) assuming r is positive.\nAnswer: r**(-659\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -52*(8 - 4 - 7). Suppose -83*b = -84*b + r. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 61867.18 decades?\nAnswer: 618.6718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/8 - 5067*h**2\/2 + 34212375*h\/8 + 34252923\/4 = 0. Calculate h.\nAnswer: -2, 3379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*z - 1235*z**3 + 85*z.\nAnswer: -1235*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d - 5. Let v(t) = 13*t - 3. Let z(q) = -10*q + 2. Let j(k) = -3*v(k) - 4*z(k). What is 3*j(c) + m(c)?\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epppeeh. Give prob of picking 1 e, 1 h, and 1 p.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-11 - -16)*14\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.32*0.46226\nAnswer: 0.1479232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/10 - 46*o**3\/3 - 359*o**2\/2 + 2*o - 1. What is the derivative of f(j) wrt j?\nAnswer: 6*j**2 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 7*k**2 + 7*k + 5. Let j be m(-6). Let y = -71\/59 + 12307\/10325. Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(3*(-2 + sqrt(1539)) - (sqrt(1539) - 6*(-1 + sqrt(1539))))*-4 + 4)**2 + 4.\nAnswer: -29952*sqrt(19) + 1578649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**2\/a)*a*a**0*a)\/(a\/((a\/((a**(-1\/4)\/a*a)\/a))\/a)*a**4*a)*((a\/(a\/(a**(-2\/3)\/a)*a))\/a**5)\/(a\/(a\/(a*a**0)))**(-10\/13) assuming a is positive.\nAnswer: a**(-1505\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22798213 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s - 12. Let d(x) = 4*x + 11. Let a = 11366 - 11363. Give a*q(n) + 4*d(n).\nAnswer: n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -251 - 38?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 - 6*o - 2. Give x(-4).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(5\/3)*b))\/(b\/(b*b*b\/(b\/(b\/(b**(-1\/3)*b))))))**(2\/115)\/((b**(1\/10)*b*b*b\/(b\/(b*b\/b**2)))\/((b**(-5)*b*b)\/b**(-2\/13))) assuming b is positive.\nAnswer: b**(-44419\/8970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*k + 12 = -138, 60 = -2*c - 2*k. Let b = c + 30. Let -6\/7*x**3 + b - 2\/7*x**2 + 0*x = 0. What is x?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.04889 rounded to 1 dp?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8598 + 782.9402. Let w = q + -784. Let v = -2.5 - -3. Which is the third smallest value? (a) 0.2 (b) w (c) v (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 14. Which is the smallest value? (a) m (b) 4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 3*k - 3*k - k - 3 + 3 + (k + 4*k - 3*k)*(-4 + 5 + 0) + 0*k + 3*k - 2*k + (-2 + 2 + 1)*(2*k - 2*k - k) + k - 3*k + k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -3. What are the prime factors of (-3 - -8)*(-8)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1492779 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r - 17. Let g be m(3). Let o(w) = w**2 - 9*w + 51. Calculate the remainder when 143 is divided by o(g).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184101 (base 10) to base 11.\nAnswer: -116355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 565*p**2 + 538*p**2 - 544*p**2 + 4170*p**3 + 729*p**2 wrt p?\nAnswer: 25020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 593175 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 251856 = -3*t + 20658, -12 = -4*t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5263935511\/13643286930 - 12\/5227313. Let p = -5\/261 + x. Find the common denominator of p and -44\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(152\/84 - 37\/(-1554))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 62*y**2 + 171*y + 170. What is the remainder when a(-59) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*p = 98, 4*t + 4*p - 184 = 9*p. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1839 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*t**2 + 1\/5*t**3 + t - 2\/5 = 0. Calculate t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.207 + -98.2489.\nAnswer: -98.0419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 15\/46 (b) -1\/3 (c) 4 (d) 3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 4*l**2 - 2*l + 2. Let v be t(-2). Let n be (v - -3) + 11*1. Suppose -2*b = b - n. Is b smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 36, 2, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + u)*(-3*u - 3*u - u).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42\/43 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015644 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-147) - ((-10)\/6)\/((-2135)\/(-122)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 58989*u + 648814. What is o(-11)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49988?\nAnswer: 2, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1431 + -20414201?\nAnswer: -20412220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -g + 216, 4*g - 4*w + w - 839 = 0. Suppose 3*i + 5*v - 4*v = g, -2*v = -10. What is the remainder when i is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*j**3 + 32*j**2 + 4*j?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2152783 * -0.001\nAnswer: -2152.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 71.4+766019\nAnswer: 766090.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/175 in -3, 13, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.043 (b) 2\/13 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*h = 1 + 7, 4*h = -k. What is the third smallest value in k, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/20 - c**3\/6 + c**2\/2 - c. Let k(m) = m**3 - 9*m**2 - 11*m + 11. Let j be k(10). What is the units digit of z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.11 + 0.01. Let p = 504.1 - 502. Let v = p + n. What is the second smallest value in -4, 2\/9, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h**3 - 1\/2*h**4 + 0 + 0*h + 0*h**2 = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 - 229496?\nAnswer: -229531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let k(h) = -4*h - 2. Let b(v) = v + 1. Let l(q) = 3*b(q) - k(q). Let w(i) = 3*i + 2. Let c(a) = 6*l(a) - 15*w(a). Calculate x(c(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**4\/24 - m**3\/6 - m**2 - 7. Let r(x) be the second derivative of s(x). What is r(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3, 12, 0.04, -5.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-6)\/(-90)*-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65230 by 13046.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j - 37 + 37 + 1 - 2 + 3*j - 9*j + (j + 1 - 1)*(-4 - 2 + 5) to v*j + w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + 81*c + 65. Give t(-19).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - j + 6, 0*j + 2*j = 2*l. Calculate the remainder when 16 is divided by (-5 - (-28)\/(-12))*l\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.058, -1\/2, -0.2 in descending order.\nAnswer: -0.058, -0.1, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {x: 5, f: 3, s: 3, g: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 68a6e?\nAnswer: -68a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 5*x**7\/42 - x**6\/6 - 17*x**5\/4 + 35*x**4\/4 + 30*x**3 + 4*x - 192. Solve o(y) = 0.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2874151, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3125, 3105, 3111, 3155, 3249?\nAnswer: 3405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bym when three letters picked without replacement from {d: 1, y: 2, o: 1, h: 1, b: 2, m: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326787 (base 9) in base 10?\nAnswer: 1258171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 20 - 4, -c + 67 = -w. Suppose -4*b = -0*j + 3*j - c, -5*b = -15. Solve 5*m - 4*i = j, -2*m = 2*m + i - 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 16*x**2 - 17*x - 17. Let t be m(-15). Suppose -t*l = -l - 276. Let j be 1*15 + 4 + -2. Solve -5*h - j = z + 2, -l = 5*z + h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91 + 660*s**3 + 2760*s**3 + 821 - 2*s + 2832*s**3 wrt s?\nAnswer: 37512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/(l\/(((l*((l\/(l\/(l\/l**(-3\/2))))\/l)\/l)\/l)\/l)))\/(((l*l*(l**3*l)\/l)\/l)\/l**0) assuming l is positive.\nAnswer: l**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18120 divided by -60\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*n + 10*n + 30*n + 37*n + 4 - 1 to t*n + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 193578111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4711 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256811.\nAnswer: 67, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 1. Let y be (-3 - 0) + 6 + 7 + -45. Let i = y - -40. Let h be g(i). Solve 9*b - h*b - 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*o + 43041 - 35355 = 0 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1660*m + 32 + 17 - 49 in the form u + i*m and give i.\nAnswer: 1660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1\/3, -29\/12, 2\/35, -3 in decreasing order.\nAnswer: 2\/35, -1\/3, -29\/12, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4940\/(-1254))\/5)\/(9\/(693\/(-56)))?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11452 + -410?\nAnswer: 11042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 11*f**2 - 9*f + 9. Let h(c) = c**3 - 5*c**2 - 4*c + 4. Suppose 16*r - 13*r = 240. Let w = 84 - r. What is w*z(d) - 9*h(d)?\nAnswer: -d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 413.1 - 415. Put 5, -0.1, o, -1\/6 in descending order.\nAnswer: 5, -0.1, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 12*q**2 + 504*q + 32. Is b(-25) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129682968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {r: 7, x: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)\/r)\/(r\/(((r*r**(2\/7)*r)\/r)\/r)))**(-24) assuming r is positive.\nAnswer: r**(240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlxl when four letters picked without replacement from {w: 1, v: 5, l: 2, x: 1}.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10100110?\nAnswer: 10100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -5.\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -9, -86 in decreasing order.\nAnswer: -9, -14, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*3\/12. What is the nearest to -0.1 in b, 4, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 235, 1351, 4217, 9709, 18703, 32075, 50701, 75457?\n\"Answer: 146*o**3 - o**2 + 97*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q + 614*t - 618*t - 57 = 0, 2*q - 5*t = -70 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125 - -162. Let a = s - 33. Let z(y) = 5*y + 2. Calculate z(a).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11*h - 18. Let b be j(0). Suppose 234*q - 231*q = 15, 4*z - q = -69. Are b and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 8:24 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 j when four letters picked without replacement from oojojoojoj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 6.5 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1937523139 to the nearest integer?\nAnswer: 44017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161852869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u\/u**(-1))*u)*u)\/((u\/u**6)\/u))**(-8\/13) assuming u is positive.\nAnswer: u**(-56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.841708 litres to millilitres.\nAnswer: 1841.708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-39)\/48)*24\/(-36)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235 + 471. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 15*g**2 + 202*g - 3051. What is p(14)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936093, 1872220, 2808347, 3744474, 4680601, 5616728?\nAnswer: 6552855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (47 + 3)\/(8\/(-12)). Let j = w - -79. Solve -j*i + 16 = g, -3*i - 2*g = -i - 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1002, -3, 1, 2 in descending order.\nAnswer: 7, 2, 1, -3, -1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 11143352?\nAnswer: -11143343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, -2, 5, 46, 28, -1 in descending order.\nAnswer: 324, 46, 28, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -513 (b) 2.1 (c) 1\/4 (d) 1 (e) 0.5 (f) -59\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18517\/9 + -2053. Let l = 13\/3 - h. What is the closest to 0 in 1\/2, -9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/4)\/n)\/(n**(1\/14)\/n*n))\/(n*n\/n**(-20\/9)*n**28))**(-16\/9) assuming n is positive.\nAnswer: n**(32804\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 35985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, 5\/6, 32, -0.5, -2\/3, 1\/2.\nAnswer: -2\/3, -0.5, 0.38, 1\/2, 5\/6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 + a - 7. Let h = 2 - 4. Suppose -61*i = -68*i + 35. Let v(m) = -22 - i*m**2 + 2*m**2 + 4*m**2 + 20. Determine h*d(s) + 7*v(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 - 3) - 4 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.6, 7, -0.1 in decreasing order.\nAnswer: 7, 0.6, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*l = 52*l + 121 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -4*d, 56 = 3*d + 4*k + 22. Solve d = 8*r - 6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 168, 244, 314?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 10. Let s(k) = -2*k - 3. Let v(j) = -7*j - 11. Let c(l) = 3*s(l) - v(l). Give c(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -346 - -346. Let i(y) = 6*y**3. Let n be i(1). Solve -3*j + 5*g - n = a, -j - 2 = 3*g - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 42 - 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-19 - (3 - (31 + -20 + (7 - 16))))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -g + 18, g + g - 2*f = 20. Calculate the highest common factor of 36 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11489574 is divided by 182374?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 642046.1 to the nearest one thousand.\nAnswer: 642000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 218 and 88996756.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 316*k**2 - 316*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -44*l + 5. Let g be ((-3)\/(-3))\/((-5)\/35)*(-10 + 9). Let r(s) = 22*s - 3. Give g*r(j) + 4*n(j).\nAnswer: -22*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -365 - 16 - 2*p + 13 - 280 to k*p + v and give v.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1236 and 1751.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 72*j - 1501. Let b be q(-90). Solve 0 = 127*t - b*t + 40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-107 - (-109 + -30)) + (1 - (-3 - -3) - 15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2321 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 = 2. Suppose k = 3*c - 9, 2*k - n*k = 3*c - 15. What is the first derivative of -4 - c*a**4 + 9 + 3*a - 3*a wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4489*z**3\/9 + 13735*z**2 - 73803*z + 111909.\nAnswer: -(z - 21)*(67*z - 219)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 1 - 1)*(-3 + 3 - 1)*((-6*o**3 + 3*o**3 + 5*o**3)*(-1 + 0 + 3) + (2 + 3*o**2 - 2)*(2 - 2 + o)) as l*o**3 + x*o + i*o**2 + b + t*o**4 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 33*d - 32*d + 39*d - 1 + 12. Is k(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, a: 2, h: 5, o: 3, c: 1, s: 1}. Give prob of picking 1 o and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(76))\/(sqrt(4) + (sqrt(4) - (sqrt(4) - (sqrt(120)\/sqrt(5))\/sqrt(6)))))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let x(m) = m**3 + m**2. Let i be x(-1). Suppose 0 = -4*c + 5*k - i - h, -5*c = -5*k. Solve -4*f = 17 - c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - -83)\/(3\/2 + 6) and (-76)\/(-5)*(-3)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i)*(0*i + 3*i - 2*i) + 0*i - i**2 + 0*i - 6913*i**2 + 10021072 - 10021072.\nAnswer: -6915*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*1\/3*1\/(-1). Let s = o - -5. Solve z + 0*z - s = 4*w, 4*w + 7 = 3*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63305.343ms in hours?\nAnswer: 0.0175848175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n**3 - 6*n**2 + 10*n**2 - 4 + 0*n**3. Let t(o) = -12*o**3 + 5*o**2 - 4. Let w(c) = 4*t(c) - 5*u(c). Find the first derivative of w(f) wrt f.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(153))\/sqrt(9))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 + 1 + 19*n to the form f + t*n and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(28 - 17 + 32)*(r - 8*r - 4*r).\nAnswer: 946*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 18*r**2 - r + 5. Let i be x(9). Let t(h) = h**3 + 7*h**2 + h + 3. Let q be t(-7). What is the tens digit of (i\/q)\/(1\/33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(9\/2))\/h))\/(h**(2\/55)\/h))\/(h**(-21)*h**(-1\/12)) assuming h is positive.\nAnswer: h**(12241\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*x - 100*x + 40. Suppose x*p = 17*p + 12. Solve -i + k - 8 = -p*i, 3*i = -2*k + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 - t**2 + t + 1. Calculate x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 14 = -8. Let w be 7 + (12\/(-4) - (1 + v)). Solve -6 + 21 = w*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1477, 4329, 9083, 15739?\nAnswer: 24297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 1306525*a**2\/4.\nAnswer: a**2*(a + 1306525)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/17, -2.4, -2\/11?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57327301.9999892 - -57327280. Let h = -22 - f. Round h to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277.7 + 43.3. Let o = 321.4 - l. Which is the second smallest value? (a) 1 (b) o (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 0)\/((-11)\/((-1144)\/(-12))). Calculate the greatest common divisor of 1612 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/16 + -1)*-28. Suppose -5*y + q + 17 = 0. What is the units digit of (71\/(-4))\/((-4)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16 + 69 = 0. Is (2*-1)\/(2\/f) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9807512 to the nearest integer?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*m + 4 + 87 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83255691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 54 = 3*z, p - 4*p = -4*z + 15. Suppose -k + 19 - 6 = 0. Let c = k - p. Calculate the highest common factor of c and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7427028 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l = -1383 - 135. Solve l - 46 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1936*-11\nAnswer: 21296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from oooopoppopoopo?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103248 divided by -2.\nAnswer: -51624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -9 - (-2 + (-7 - -13))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477107 is divided by 885.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((1*sqrt(28))\/sqrt(7))\/(sqrt(4)\/sqrt(50)))**2.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*g**2 + 62*g**2 + 31*g**2 - 342*g + 64*g**2 + 342*g + (-2*g**2 + 4*g**2 - 3*g**2)*(3 - 3 - 1).\nAnswer: 134*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, j: 2, u: 2, h: 4}. What is prob of sequence uj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9456 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -118.74 times 0.1\nAnswer: -11.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2177185 - 335.9.\nAnswer: -331.6822815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 267) + 248 - (2 - (11 - (-3 + 2)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:11 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2982 or -2978?\nAnswer: -2982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 + 128. Put -1, a, -20 in descending order.\nAnswer: a, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 6, -0.04, 4, -3\/4 in ascending order.\nAnswer: -23, -3\/4, -0.04, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 14 - 44. Let u be (10\/175)\/(1 + 6\/j). What is the smallest value in 0.4, u, 34?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -358081\/141640 + 11\/3541. What is the common denominator of -107\/80 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 17. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*j - 3*a + 13, -4 = -3*j - 2*a. Solve -2*p + t = -8, 25 = 3*p + j*t + t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**4 - 1809834*z**3 - 1905517*z**2?\nAnswer: -48*z - 10859004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 q when four letters picked without replacement from {f: 3, j: 1, q: 16}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293.34 rounded to the nearest ten?\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**2*q))**(-20\/9) assuming q is positive.\nAnswer: q**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0 + 1\/6*q**3 - 2*q - 1\/2*q**2. Let n(w) = -3*w + 11. Let p(z) = 4*g(z) + n(z). Give p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - d**2 + 154*d - 952. Let v be q(6). What is the greatest common factor of v and 832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11444200871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 17 + 54*x**2 - 4)*(-x**2 + 2*x**2 - 4*x**2) as z*x**2 + u*x**3 + r + m*x**4 + q*x and give m.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**3 + 51*f**2 + 22*f - 16. Let n be u(-8). Let r(i) = i**2 + 3*i + 1. Calculate r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3 = -24725*n + 24722*n, -18 = -2*n + 2*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + -15 + 10 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x - 8. Let h = x - 0. Let c be 2 - (-8)\/3*(-3)\/4. What is the closest to h in -4, c, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 21 = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235937436.\nAnswer: 2, 277, 1115467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1. Let p(o) = 3*o**2 - 21*o - 1. Let t(f) = d(f) + p(f). Does 26 divide t(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 22*x - 4. Let o be u(2). Let r(c) = -o - 3*c + 0*c + 31. Is r(-13) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215394\/8 - -4*18\/96.\nAnswer: 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.252 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-85)\/2)\/(387\/(-48) + 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2328 = -8*f. Let b be (f\/(-4) - -5)\/((-2)\/20). Suppose -75 = 3*h - b. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzp when three letters picked without replacement from ipriiiitikizpppkppzi?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101200111 - -1022?\nAnswer: -101122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, -0.2, -1\/20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*n + 29*n + 65*n + 33*n - 16 + 5*n to s + w*n and give w.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-647340)\/(-40) - (1 + (-2)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0155968584 to 4 decimal places.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2378361 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 33764267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2757, 5527, 8253, 10929, 13549?\nAnswer: 16107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55964 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 5:55 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2220 - 10304240?\nAnswer: -10312010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*h = -h + 3475, -4*j - 2*h = -2790. Let x = -423 + j. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 2684680.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.95 + -1.95012. What is v rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (72\/15*280\/32)\/2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-15))\/(-116 + 129))\/((6\/(-15))\/2)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 1. Let s be r(-1). Let f(j) = -j**2 + 5*j - 4. Let y be f(4). Suppose 4*n + 2*g + 2 = 0, y*g = 2*n - g - s. Solve 0*x - 3*x - 6 = n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.72044 and -5?\nAnswer: -13.6022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/4 in 4, -0.4, -16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -30. Let l(x) = 22 - 4*x**2 + 3*x**2 + 2 + 15*x + 12. Let a be l(b). What is a rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2935ml in litres?\nAnswer: 0.0032935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4070*m - 15607. Give i(4).\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12\/8515 - -76731\/68120. Suppose c*u**2 - 1\/8 + 7\/8*u - u**4 - 7\/8*u**3 = 0. What is u?\nAnswer: -1, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -558, -938, -1302, -1644, -1958, -2238?\n\"Answer: y**3 + 2*y**2 - 393*y - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7681035.\nAnswer: 3, 5, 19, 26951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 3563822?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 23. Let g = m + 46. Calculate the highest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -438, -1235, -2558, -4401, -6758, -9623, -12990?\n\"Answer: p**3 - 269*p**2 + 3*p - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.20041 centuries to months.\nAnswer: 55440.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -17820730 to the nearest 100000.\nAnswer: -17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*g = -80*g + 2140 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4*m + 4*m)*(-3 + 3 + m**3) + (0*m - m + 4*m)*(2*m**3 - 2 + 2) + 5 - 86*m**4 - 4 + 77*m**4.\nAnswer: -m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*u - 54, -u - 81 = -3*c - 6*u. Suppose -2*w = w - c. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 3:57 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -5*t + 167. Suppose -3*i - 2*w = 34, 5*i - w + 27 = -t. What is the units digit of 2\/5 - 16\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - y - 1. Let z = 24 - 22. Let m(x) = -x + 0*x + 3116*x**2 - 3119*x**2 - z. What is 4*b(q) - 3*m(q)?\nAnswer: q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -792668 or -792669?\nAnswer: -792669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 6*o - 2 - 4*o + 3*o. Give j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -83\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25758564 (base 9) in base 12?\nAnswer: 42b34aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 443*r**2*v**2*x - 5*r**2*v**2 + 10*r + 2*v**2 - 598*v + 2*x wrt r.\nAnswer: 886*v**2*x - 10*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**6\/420 - j**5\/70 - j**4\/28 - j**3\/21 + 5*j**2. Let v(q) = 0. What is q?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 8 - 10. Let d be 6*(-1)\/b - -7. Round d to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6640000 rounded to the nearest 100000?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + 2 = -i, -3*f + 6 = -3*i. Suppose 3*g + 12 = 0, -155*o + 2*g = -154*o - 10. Solve f = -q + 3, -o*x - 5*q + 21 = -0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -3*p + 2*z, 2*p - 255 = -p - 3*z. Let k be (-16)\/12*p\/6. What is k rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1198, -2424, -3688, -5008, -6402, -7888?\nAnswer: -9484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 32 - (3 - 2 - 27).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 1 - 9. Let z = 5 + v. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3590 + 3595. Solve y*g - 8*g + 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.83401l in millilitres?\nAnswer: 29834.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(2\/39)*u*u))\/u)\/u)**(-5\/12))**(17\/6) assuming u is positive.\nAnswer: u**(10115\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 83.2?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 11. Let g be p(14). Let l be 72\/9*(g - 1). Determine i, given that 0*i**4 + 3*i**5 - 6*i**4 + l*i - 16*i + 3*i**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480) + sqrt(480) + (sqrt(480)*-1 + sqrt(480))*2 - 2*1*sqrt(480))\/(sqrt(490)*2*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 7*j**2 + 87178*j**3 + 4*j**2.\nAnswer: 87178*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 2*l - 2. Give f(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.4 - 43. Sort 4, q, -4\/3, 0.2.\nAnswer: -4\/3, 0.2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 271626?\nAnswer: 271628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -39. Suppose 3*o + 68 = 6*o + 4*z, -y = -o - 2*z. Suppose 19*x - 81 = o*x. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 1. Let y = -13 + 14. Let s be (10 - 11)*(y + 0). What is k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 354.5 (b) -26 (c) 1 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/15)\/((-1603)\/(-72135)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 870940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78957241?\nAnswer: 11, 61, 117671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 5*l**2 + 3*l. Let b be 14\/(-63) - (-29)\/9. Let g be d(b). Round g to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -0.1 (c) -4\/7 (d) -2\/5 (e) -2.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2 - -1*2. Let p be (-44)\/(-7) - (-2)\/(-7). Suppose -d*m + p = -566. What is the highest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**3 + 18*p**3 - 33*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3992 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69937 is divided by 23236.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v = 1013 + 793. What is the highest common factor of 1071 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from xpbppqxjxxex?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 874?\nAnswer: -5\/874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2\/9 (c) -72 (d) 0 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -3, -0.3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.091 + -0.054. Let q = -38.8043 + 38.7673062. Let u = c + q. Round u to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z - 48*z - 56*z + 188*z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 35*t**3 - 13*t + 11. Let d(x) = 17*x**3 - 6*x + 5. Let p(j) = 7*d(j) - 3*r(j). What is the remainder when 69 is divided by p(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4275576l?\nAnswer: 427.5576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + 27 + (-9554 - -9496)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*o - 5*j, 2*j - 5*j = 2*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-36)\/174)\/3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - (-2 - -4)*2. Suppose -g*t - 22 = 2*i, -3*t - 14 = 2*i + 8. Do -11 and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4382374 by -46621.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 0.073?\nAnswer: -1.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 18. Suppose 6*n + 262 = 310. What is i(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -4\/3, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35718 + 35717.5. Which is the closest to -1? (a) 349 (b) -11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24635, -24659, -24679, -24695, -24707?\nAnswer: -24715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 - 45*k - 1. What is y(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*g - 5086*g = 3438*g + 9504*g - 1090025 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5222, -10461, -15688, -20903?\n\"Answer: 6*z**2 - 5257*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2767750 or 8303248\/3?\nAnswer: 8303248\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1233?\nAnswer: 5\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4937\/399 + -217\/19. What is the common denominator of o and 115\/66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 4 (c) 0.2297 (d) 0.04 (e) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95610 and 788580.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 12 - 26 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:52 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2. Let h(z) be the second derivative of 11*z**4\/6 - 25*z + 1. What is h(g(j))?\nAnswer: 198*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrriprzvciiprpiprpcc. Give prob of sequence cc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -996347, -996162, -995977?\n\"Answer: 185*t - 996532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -28046241 < -28046243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8)\/((-3)\/45*63\/14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3946300 is divided by 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -740*z - 55. Let u be h(-1). Let i = 683 - u. What is the third biggest value in 2\/17, 72, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 111 = 21. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 16*g + 26 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2969, -2 in descending order.\nAnswer: 13, -2, -2969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 279*q**2 + 29*q - 738?\nAnswer: 558*q + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from qlaazva?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 + 2*q - 2. Let x(m) = -m**3 - 8*m**2 - 12*m - 32. Let n be x(-7). Give b(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/210*(-3)\/(-2). Let v be -1 - (26\/(-10) - -1). Let -1\/5*a**3 - 3\/5*a**2 - u - v*a = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boofoffobofoofob. Give prob of picking 2 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 108246450 to the nearest 100000.\nAnswer: 108200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1005 + -4?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5*c - 5 = 0, 0 = -11*d + 10*d - 2*c - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 979113479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 570*v**4 - 1104*v.\nAnswer: 6840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 721398, 1442650, 2163902?\n\"Answer: 721252*u + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**3 - 10*x**2 - x + 45. What is the remainder when 1106 is divided by b(-3)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -177\/2539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5093 and -49.435.\nAnswer: -5142.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 701527*0.3.\nAnswer: 210458.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-44)\/7)\/((-2)\/7). Suppose 3*a - 14 = x. Let s be a\/(-15)*1\/(-2)*10. Solve 0 = s*z + 6 - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**3 + 8*u - 8. Let l be 6\/(-1) + 0 - 2. Let v(x) = -x**3 + 3*x - 3. Give l*v(h) + 3*r(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 42. Let o be i(10). Let s be 60\/o*2\/3. Which is the smallest value? (a) -1\/2 (b) 3 (c) s (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -2\/61, -0.045?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 23, 20, 5, -28, -85, -172?\n\"Answer: -y**3 + 3*y**2 + y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15+-27266148.669543\nAnswer: -27266133.669543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:58 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*o + p + 18 = -163*o, -5*o - 18 = 2*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62420775 is divided by 95.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(5\/7)\/(((t\/(t\/t**(1\/8)))\/t)\/(t*t**(1\/5)*t)) assuming t is positive.\nAnswer: t**(761\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -124.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjxjjxejjxxxxexx. Give prob of picking 1 j and 2 x.\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 112*b**2 - 2188*b + 2296.\nAnswer: 4*(b - 41)*(b - 1)*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 + 16*m**2 - 10*m + 4. Let s(v) = -3*v**3 + 31*v**2 - 21*v + 10. Let o(x) = 5*i(x) - 3*s(x). Give o(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**8\/504 - 8*k**7\/315 + 2*k**6\/15 - 16*k**5\/45 + 4*k**4\/9 - 14*k**2. Let h(f) = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 168809*x - 1688085. Give t(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*r = -39, r = 5*i - 4*r - 50. Suppose 3*c - 27 - i = 0. Suppose -3*m + c = 5*j - m, j = 4*m + 20. Solve a - j = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -2*k + 16856, 4*k - k + 7224 = 3*o. What is the remainder when o is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0453522 and -6.04.\nAnswer: 0.273927288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(12\/5)*(-28)\/(-875)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21251273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 10*w**2 + 10*w - 3. Let s be t(9). Let l be s\/15*(0 - 5). What is the units digit of ((-5)\/10)\/(l\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 58*o + 744. Let i be m(-19). Which is the third smallest value? (a) -1\/4 (b) i (c) -2 (d) -121\/2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - a**2 - a - 5. Calculate the remainder when 128 is divided by s(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+-13.6\nAnswer: -13.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5503920 divided by -760\nAnswer: 7242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 5 = -i. Let a be ((-6)\/i)\/((-1)\/5). Suppose c - 85 = -a*r, 4*c - r = -c + 403. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 + 35c?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnncnnnncnn. Give prob of sequence ccn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 23*u**2 + 24*u + 3. What is a(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.97 + -4. Let i = v + 0.23. Which is the biggest value? (a) 0.1 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349636.3 kilometers to centimeters.\nAnswer: 34963630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(4*3\/72))\/(-13*14\/70)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86848 is divided by 14474.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 5*o**3\/6 + 2*o**2 + 12*o. Let j be h(-4). Is ((-1)\/(j\/868))\/((-1)\/(-4)) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8582 - 8576.929. Let f = -0.071 + p. What is the nearest to -3 in 1\/3, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 2. Let z(s) = 4*s**3 + 11 - 9*s + 11*s**2 - 4*s + 0. Let c(o) = -2*o**3 - 6*o**2 + 7*o - 6. Determine g*c(i) - 6*z(i).\nAnswer: -2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*g + 280675, 5*s - 272475 = -5*g + 78380. Is g a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-10)\/(-18) - (-3)\/9. Let s be 2 + 2 + (k - 3). Determine c, given that 56*c**5 - s*c**3 + 15*c**4 + 8*c**3 - 61*c**5 - 15*c**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 9*q**2 - 6*q - 9. Let l be n(8). Suppose 8*g - 43 = l*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/(-22)*(-5)\/3. Suppose -224 = -g*v + v. Suppose -4*t + 3*t - 4*f = -60, 5*f - v = -t. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1228 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 624*j + 146672. What is i(182)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -15*u + 2565. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001572 rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12024811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20334 - -23355?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + z**2 + z + 51. Let t(j) = 38*j - 2423. What is the least common multiple of l(0) and t(64)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-30) + 1\/12. Which is the second smallest value? (a) 0.1 (b) n (c) 0.13 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 18*s**2 - 43*s - 39. Let y = -16 - 4. Calculate the least common multiple of k(y) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.352 - 1278\nAnswer: -1277.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159\/4 + 40. Let k(o) be the first derivative of -o**3 + 0*o**2 + 2 + 0*o + j*o**4. Find the third derivative of k(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30178 and 3160.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/2 + (2 - 4). Let g be 3*((-364)\/(-12))\/7. Let p = g - d. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15353784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 33*y**2 - y**2 + 24*y**2 + 3*y**2. Let t(d) = d**2 - 6*d + 6. Let g be t(5). Is k(g) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(2 + (-11)\/4). Suppose 19 + 13 = t*n. Solve n*r**2 - r**4 - 8*r**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wttwlwwwlll. Give prob of picking 2 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 18*h. Let k(y) = 272 + y**2 - 272. What is k(l(x))?\nAnswer: 324*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77\/6 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.23 (b) 1\/2 (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202000201100 (base 3) to base 15.\nAnswer: 1343d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3490030270 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*(2 + 8). Suppose 3 = 4*x - p. Let j(s) = -2 + 0*s + 3*s + 5 + s**x + 2*s. Calculate j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j - 58. Let k be b(-12). Solve -4*h = -k*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167657515, -335315033, -502972551, -670630069, -838287587?\nAnswer: -1005945105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 271290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 15*w**2 + 18*w + 9. Let r be p(-13). Suppose -129*n = -r*n. Suppose -12\/5*x + 2\/5*x**3 + n + 2*x**2 = 0. Calculate x.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 10*d + 20. Calculate q(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161.8 + -161.6. Let h = -0.02 + -0.48. Which is the smallest value? (a) 1 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/(-3*(sqrt(2) - sqrt(32))) + -2.\nAnswer: -2 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-1716)\/(-78).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 11*h**2 + 65*h - 638. Give q(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7671*m + 61366. What is d(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/3)*n**(7\/5)*n**(-1\/2)\/(n\/(n**(3\/5)*n)*n) assuming n is positive.\nAnswer: n**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1090 divide 63855697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 526*c**2 - 3075*c - 594.\nAnswer: -(c + 6)*(c + 99)*(5*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5\/2 (b) -474 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3 + 3)*(18 + 28*w - 18) + 3*w + 3*w**2 + 9*w**2 - 14*w**2.\nAnswer: -58*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*d - 33 = 19, 4*d - 96 = -4*c. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32725971 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -510, -944, -1390, -1854, -2342, -2860?\nAnswer: -3414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:26 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -0.07 (c) -4\/3 (d) -78 (e) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*l - 0*l + 13, -3*s + 6 = 3*l. Let v(g) = -g**3 - g**2 - 4*g. What is the units digit of v(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 580?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*x**2 + 6*x**2 - 7*x**2)*(3 - x - 3)*(x + 4 - 4) to o + z*x**2 + m*x**3 + j*x**4 + u*x and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 4. Let u be h(-3). Let w(f) = 3*f - 6*f + 3*f + 2*f**u. Let g(q) = 3*q. Give w(g(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432)\/2900 - 112\/(-1624)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*v - v - 18, 0 = 5*v + 2*r - 21. Solve 0 = 2*m - m + v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/7 + 12417*j.\nAnswer: -j*(j - 86919)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, a: 5, h: 2, n: 2, k: 4}. What is prob of sequence hmm?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -1. Let w = z + 9. Solve 0 = -a + 3 - w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*n**3 + 20*n**2 + 26*n**3 + n**2 as v*n + g*n**3 + t*n**2 + r and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2364442.\nAnswer: 2, 71, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1. Let t = 368 - 351. Suppose -h - t = -0*w + 3*w, -3*h + 2*w = 18. Let z(q) = q - 2. Calculate h*s(b) + 3*z(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348407 by 1.\nAnswer: -348407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 106324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l*t*v + 9*l*t + l*v**2 + 6*t*v + 1705*v + 649 wrt v?\nAnswer: 2*l*t + 2*l*v + 6*t + 1705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*c = -22, 5*f - 3*c - 24 - 6 = 0. Let u(q) = q**2 - 4*q + 6. Give u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 1, s: 3, e: 2}. Give prob of picking 1 s and 2 d.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 74. Give c(29).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {p: 1, r: 1, g: 2, d: 2, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -21*f**3 + 7*f**2 + 7*f + 24. Let c(u) = 7*u**3 - 2*u**2 - 2*u - 8. Let q(d) = -7*c(d) - 2*w(d). Find the first derivative of q(h) wrt h.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56 - 1 - 0\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17160 is divided by 743?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.282 - 0.418. Let n = l + 31.4. Which is the closest to -1.8? (a) n (b) -3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*m + 43079 = 0, 2*j - 86125 = 4*m - m. Let r be 3\/8*240\/45. Suppose 4*s - j = 2*v + 70717, r*s = -3*v - 170708. Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4081 and 3773?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15475 - -17704. What is the least common multiple of 81 and u?\nAnswer: 60183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6837000 a multiple of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 138 + 52)*(7*c - 7*c - 40*c**3).\nAnswer: -4400*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 + -224.1. Let x = 17.6 + -2.6. Let c = x + g. What is the nearest to c in -3, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*n - 222*n = -429*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 7 = 2*h - 0*t, 0 = -4*h - 3*t - 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 6 - 4*y**2 + 3*y**2 + 4*y**2 - 3*y**2 - 3*y**2 + (2 + 3 - 7)*(3*y**2 - 2*y**2 + 0*y**2).\nAnswer: -5*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 2 + 40. Let t(p) = 3*p**3 + 4*p**2 + 4*p. Let b(n) = 3*n**3 + 4*n**2 + 3*n. Let r(y) = i*b(y) - 2*t(y). Factor r(z).\nAnswer: z*(z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -601d3 (base 15) to base 10\nAnswer: -304173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*u - 10 = 0, m - 5*u + 13 = -u. Which is the third smallest value? (a) -4 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221 (base 5) to base 10.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 558672703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40, -72, -92, -100?\n\"Answer: 6*b**2 - 50*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/46850 and 197\/3150.\nAnswer: 2951550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.3 != -1.063358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45.0000301 - 45. Round a to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**2 - 48*u - 4. Calculate v(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - -6. What is the second derivative of 13 + v*c - 13 - 2*c**4 wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -2\/13, 174, -379?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 256, 1, 3, -1 in ascending order.\nAnswer: -3, -1, 1, 3, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -73, -114, -159, -208?\n\"Answer: -2*k**2 - 31*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65.3, -5, 0.03.\nAnswer: -5, 0.03, 65.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-364)\/(-104))\/((-1)\/(-62)). Suppose 3*t = 90 + 3. What is the highest common factor of t and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1287 + -7 + 9)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -1 (c) 2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 46.\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 7*a**2 - 5*a + 12. List the prime factors of h(9).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221404 + 110702 + 110702 - 574*d**2.\nAnswer: -574*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.2 (b) -0.4 (c) 0.216 (d) 3 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a - 4. Suppose -1 = -2*m + 3*m. Let i(d) = -d. Let c(u) = m*l(u) + 3*i(u). Determine c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhvv. Give prob of sequence hhvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468897623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30363, 30363, 30361, 30357?\n\"Answer: -a**2 + 3*a + 30361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from {b: 3, u: 1, s: 5, p: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Suppose s = -2*z + 19, -4*z + 11 + 6 = -5*s. Suppose h - 6 = z. Calculate the least common multiple of w and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -314*u + 38. Let x(d) = 2*d + 7. Determine t(f) - 5*x(f).\nAnswer: -324*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-54))\/((-5)\/((-15)\/2))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 0 - 17*p + 4*p + 2*p**2 - 2. Let i(u) = -3*u + 9. Let f(s) = -7*i(s) - 5*x(s). Find the first derivative of f(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 710 - 3*c**2 - 715 to the form v + s*c**2 + x*c and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018922 rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2592 + 3299. Calculate the greatest common divisor of o and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h + 1. Let x(r) = -11*r + 1. What is -5*n(f) + 3*x(f)?\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -798194, -1596768, -2395340, -3193910, -3992478, -4791044?\n\"Answer: g**2 - 798577*g + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -10\/19, 1\/7, 0.11, -144, 6?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from pxxrcxrrdp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(144) - sqrt(144)) + sqrt(72)\/sqrt(8)*4)\/(-6*(sqrt(75)*-4 - sqrt(75))*-2).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 21 - 45 - 6*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -16*m - 17. Put 3, m, -2, -6 in decreasing order.\nAnswer: 3, m, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 6 + ((-45)\/(-3150))\/((-52)\/21225) and -187\/1092.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424, 34, -2274, -5500, -9644?\nAnswer: -14706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 3)\/(((-7)\/(-28))\/((-5)\/(-10)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3390 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(3))*-2 + -3)**2*-4.\nAnswer: -84 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 4:04 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 - 10*n + 6. Determine q(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -6059\/53596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/60 - 47*i**4\/2 + 566*i**3\/3 + 6234*i**2. Factor h(w).\nAnswer: -(w - 2)*(w + 566)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 153*s**2\/2 - 3171*s\/4 + 869.\nAnswer: (s - 316)*(s - 1)*(s + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 6 - 2 = 0. Let d be k*3*(-3)\/6. Let x = -3 + 3. Solve -3*a = -5*u - 6, -d*a = -x*u - u - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 5, 2, -3563 in increasing order.\nAnswer: -3563, -5, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 551 + -392. Let k = -89 + s. What is the remainder when k is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/8 - (-182)\/8. Let u(b) = 4*b. Let v be u(1). Let g = 4 - v. Solve -2*n + 2*r + 3*r + 13 = g, 0 = -5*n + 2*r + l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7*i = -9*i + 7128, 35523 = 15*w - 3*i. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = -x, 3*w + 26 = 5*x - w. Let h be x + 3 + -3 - -486. Suppose 5 = -3*a + h. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 2, 5 in decreasing order.\nAnswer: 5, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -9. Suppose 0*p + 2*p - 78 = 5*m, 4*p + 5*m - 186 = d. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 10. Let t(b) = 5 + 0*b + b - 4. Let m(h) = -17*h - 11. Let i(l) = 8*l + 5. Let n(y) = -7*i(y) - 3*m(y). Calculate k*n(c) - 4*t(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 2*a**7\/735 - 11*a**6\/210 + 37*a**5\/105 - 15*a**4\/14 + 12*a**3\/7 - 2*a**2 + 36. Factor b(i).\nAnswer: 4*(i - 6)*(i - 3)*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74)\/185 - 3\/(-20). Is -3.2 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/2)*(h*h\/(h**(-1)*h))\/h*h*h**(-1\/3)\/h*h*h**(1\/5))\/(h**4\/h**(2\/9)*h\/h**(-2)*h*h**(-3)) assuming h is positive.\nAnswer: h**(-127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82*f**2 - 12*f + 1607?\nAnswer: -164*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 6*j**2 + 36*j - 152. Calculate the lowest common multiple of 59 and l(5).\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 1. Suppose 5 = r + 4*r. Let f(m) = 1491*m - 28331. Let u be f(19). Let l(k) = 5*k + 2. Determine r*l(j) + u*y(j).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(28\/(448\/(-48)))*18\/6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 4 = 11*h. Which is the closest to h? (a) -2\/3 (b) 2\/13 (c) -1\/4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768.068 rounded to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, f: 6}. What is prob of picking 2 x?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 3*w**2 - w. Let z be y(2). Suppose -5*o - 4 = j, -j + 3 = 2*j. Let m = 2 - o. Solve -m*g = 4*f + 6, z*g + 5*f = -3*g - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183047 is divided by 2727.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2545410302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12923 + 24792 - 12376 + g**2 + 26*g.\nAnswer: (g - 13)*(g + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 743.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6 + (-40)\/(-90).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15906*d + 169372 = 1632724 for d.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/22 and 25\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*s - 12381 + 52329 = -21612. Put 0, -5, s in ascending order.\nAnswer: s, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Suppose 58 = 2*q + m*x, 0*q - q - 5*x = -43. Let o be (-23 + 0)\/((-1)\/8). What is the greatest common divisor of o and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 3\/16 (c) 54 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2098 and 0.401.\nAnswer: 841.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74*1*(-295)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 322310906 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w + 82. Let r be v(4). Solve 0 = 2*o - 24 + r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 66b?\nAnswer: -66e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326876 to the power of 1\/2, to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.6 - -11.41. Let t = -0.77 - 0.53. Let m = 1.6 + t. What is the fourth smallest value in 2, m, n, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/81 + ((-8400)\/567)\/(-16). What is the fourth smallest value in 1\/4, 0.4, 1639, r?\nAnswer: 1639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -224 in -2161\/2, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = 0. Suppose -3*i - 9 = 0, 4*h - 2*i + j*i = 3610. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 163922842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2\/5, -1, -4\/3, 2 in decreasing order.\nAnswer: 2, -2\/5, -1, -4\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20376967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 968 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(2\/7))**(-17))**(-9\/5))**(-2\/7))**(-2\/15) assuming h is positive.\nAnswer: h**(408\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*1*(0 + sqrt(605))*1.\nAnswer: 330*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 10.76, 9, -165.8, -2 in decreasing order.\nAnswer: 10.76, 9, 0.3, -2, -165.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, r: 6, l: 4}. Give prob of sequence rrgr.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.1279999 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223 + -36. Let j = -932\/5 + s. Let r(f) = f**2 + 4*f. Let p be r(-5). Which is the second biggest value? (a) p (b) j (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-711)\/(-12640)*32)\/((-3)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -313?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*v**4 + 57 + 3*v - 474 + 422 + v**3 in the form z*v**2 + q*v + s*v**3 + j*v**4 + c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, t: 1, y: 2, n: 1}. What is prob of picking 3 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114732761 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 7)*((0*v - 2*v + v)*(1 + 0 - 2) + 4*v - 3*v + v + 0*v + 2*v - 4*v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -18*r - 216. Let q be l(-12). Solve u + 26 = 5*c, -3*c - 9*u + 6*u + 12 = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -61 + (-1708 - -1768).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 13*d - 13. Suppose 3*h - 13 = -1. Suppose 11 = 2*o + 3*a - 2, -1 = o + h*a. Does 9 divide w(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 31570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqn when three letters picked without replacement from tnnmnjwnnjjjjtqq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 7*w**2 + 4*w + 8. What is o(4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*n - 10 = -146, -5*n = 20. Let a = -69 - b. Suppose 3*u - 2820 = -a*u. List the prime factors of u.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16 + -13 + (-1)\/(2\/(-8)). Suppose -h*s = -356 - 232. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a - 7*a - 11*a + 1 = 11*a - o, -a - 2 = -3*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 490456080.00000136 - 490456118. Let y = -0.64 + 38.64. Let a = y + z. Round a to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 890 + 1020 = 5*y - 2*o, 3*y + 4*o = 1120. Calculate the highest common divisor of 1596 and y.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blblllllllll. What is prob of picking 2 b and 2 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -845*f + 17. Let q(m) = 211*m - 4. Give -25*q(b) - 6*s(b).\nAnswer: -205*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/4, 4\/215, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + -1.97. Let x = -22.4 + 3.4. Let o = 22 + x. Which is the closest to 0? (a) o (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-16)*(-4)\/2*(-690)\/575?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/925740 and 43\/296?\nAnswer: 1851480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - c + 16 = 4*k, -c = 4. Suppose k*z - 35 - 69 = 0. Calculate the highest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 870563922 by 6.\nAnswer: 145093987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. Let j(i) = v*i + 7 - 6*i + 2*i + 3*i. What is j(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2159 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 + 2*s**3 + 13*s + 727 - 727 + (s**2 + 0*s**2 + s**2)*(-2 + s + 2).\nAnswer: 4*s**3 + 4*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 4*b + (-4 + 5 + 0)*(-3*b + 0*b + b) + 3*b - 4 + 4 + (3*b - 2 + 2)*((0 - 2 + 0)*(4 - 3 + 0) - 3 + 2 + 2).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 5 + (-45 - (-26 + -27))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + -125 + -7 + 7 + 13 + (7 - 5).\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -486, 236, 0, -4.\nAnswer: -486, -4, 0, 2, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by (2 - -85)*1\/(-3)*-1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 18*f + 53, -3*s - 2*f = -3*f + 20 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11320 divided by 2264.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3 = -m, 2*s = 5*m + 31957. Suppose s = 2*k + 3135. Let w = k + -2018. What is w rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 388699533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-375)\/100)\/((-3)\/2). Let k = 3 - 7. Sort d, 0.2, k in increasing order.\nAnswer: k, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 20, 31, 42, 53, 64?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t**3 + 2*t**2 + 8*t. Let z(w) = 4*w**3 + w**2 + 3*w. Calculate 3*r(p) - 8*z(p).\nAnswer: p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -578832 rounded to the nearest 1000?\nAnswer: -579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 1 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmfqfqqffqffbffqfm. What is prob of picking 1 q, 1 b, and 1 f?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25ac28 (base 14) to base 16\nAnswer: -13cc94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d + 6. Give u(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/3579492 and 79\/5160?\nAnswer: 35794920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 3*w + 6. Let n be u(5). Let o = 10802.9 - 10803. What is the nearest to 3 in n, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -4\/100927 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27.1*-0.62\nAnswer: -16.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1663 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - -1501975960087?\nAnswer: 1501975960086.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 + -51?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/4 (b) 228 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2414431 (base 13) to base 11.\nAnswer: 6344378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 743320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69120 = 1584*n - 1557*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25967235581 + 0.\nAnswer: -25967235581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 569426357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 + -1101111110?\nAnswer: -1111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/10 - 122*i**2\/5 + 1368*i - 111456\/5.\nAnswer: (i - 172)*(i - 36)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4513, -4236, -3489, -2038, 351, 3912?\n\"Answer: 39*z**3 + z**2 + z - 4554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -876 divided by -438?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gguc when four letters picked without replacement from {u: 2, o: 1, p: 1, c: 1, g: 2, b: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzccszcbzsozsccclozz. Give prob of sequence olb.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2075, 2078, 2091, 2120, 2171, 2250, 2363?\n\"Answer: j**3 - j**2 - j + 2076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27391066 is divided by 89513?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1523486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 797184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from vfvssqssfsqvusg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-4*x - 2*x + 7*x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 153926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1378 = 852. Let o be (-3)\/(-12) + u\/(-8). Calculate the greatest common divisor of o and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2118 - 527 + 2465 + 477 + 1756)*(0*x + 3*x - 5*x).\nAnswer: -12578*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4021*y**3 - 4015*y**3 + y**4 + 2 + y - 3*y**2 + 0*y as r*y**4 + q*y**2 + g + v*y**3 + c*y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -20*i + 138. Let t be g(8). Let n(w) = -w**3 - 15*w**2 - 31*w - 113. Is n(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-2*v + 4*v - v + (-v + 5*v - 2*v)*(1 + 1 + 0))*(-15 + 2 - 3).\nAnswer: -160*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -328186*t + 158157*t + 162607*t + 2972 wrt t.\nAnswer: -7422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -450*g**2*y**2 + 11*g**2 - 16*g*y - 124*g + y**2 + 2 wrt y?\nAnswer: -900*g**2*y - 16*g + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2.04. Let y = -2.96 - n. Let r = 7700 - 7700.1. What is the closest to 1\/2 in r, y, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(5\/2)*f**(-18\/11) assuming f is positive.\nAnswer: f**(-69\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 3*q, -6 = -3*q + 3. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30232\/15456 + (-2)\/4. Let k = 3\/1288 + v. Find the common denominator of -67\/45 and k.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1534)\/(-169))\/((6\/(-156))\/(2*(-3)\/12)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n + 85*n + 71 - 4031 = -74*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 7 + 5. Let v = 0 - y. Is v != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 3*u**2 - 7*u - 13. Let c be a(-4). Let x(t) = 101*t + 18. Let h be x(c). Round h to the nearest integer.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r - 101. Let h be b(12). Suppose 0 = 2*c + 5*w - 2237, h*w = -3*c + 5*w + 3328. List the prime factors of c.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*z - 35*z + 11*z + 0*z + z + z - 5*z + 4*z - z + (-2 + 5 - 4)*(-3*z + 3*z - z) - 2*z - 3*z + 3*z - 1 - 2*z + 1 as a + k*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1423727, -1423739, -1423751, -1423763?\n\"Answer: -12*l - 1423715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (sqrt(456)\/(sqrt(12)*2))\/((sqrt(60)\/sqrt(5))\/sqrt(6))).\nAnswer: -1 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -34.9 less than 15614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2928*s**3 + 1346523 - 1346523)*(3 + 1 - 3).\nAnswer: -2928*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -17) + -6 - -50.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -7, 5 in decreasing order.\nAnswer: 5, 4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:11 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9\/56, 2\/5, 1\/3.\nAnswer: -9\/56, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z = -3. Factor 2*h**2 - 3 - 2*h + z.\nAnswer: 2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, -1\/20, 3 in decreasing order.\nAnswer: 18, 3, -1\/20, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/15)\/(4\/18). Suppose -f = -0*f - m*w - 41, -w = f - 57. Find the second derivative of -f + 5*u - 8*u**5 + 53 - u wrt u.\nAnswer: -160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 62*b + 9. Is h(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntn when three letters picked without replacement from kktknntnnv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 6*y + 22. Calculate the lowest common multiple of 2544 and o(-4).\nAnswer: 17808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*c + 18. Suppose 0 = s - 5*d + d - 36, 4*s = 2*d + 116. Calculate the smallest common multiple of s and c.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6302 at least -6303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhy when three letters picked without replacement from hyyh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2\/3, 13, 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227\/143 + -1\/286. Let k be ((-4)\/(-88))\/(1\/(-2)). Let h = k - z. Which is the closest to -1? (a) -1\/3 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - q. Let t be h(1). Let s(p) = -8*p + 12. Calculate the smallest common multiple of s(t) and 15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 35*p - 26*v - 19 = 67*p - 29*v, 3*p - 4*v = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.9. Which is the closest to -0.4? (a) -3 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*s = 656*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -5 - 0\/4. Suppose 5*y + n*s - 20 = -2*s, 2*s - 4 = 0. Suppose -y*z = -2*d - 2, 2*z = -2*z - 3*d + 25. Which is greater: z or 17\/4?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4587435172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 + -20 + 125 + 0\/(-5)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 21*b. Let j be m(10). Let u(p) = -p**3 + 9*p**2 + 9*p + 12. Let d be u(j). Suppose 0 = 5*w - d*l - 5, l + 2 + 2 = w. Is w equal to 3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (805\/(-210))\/(6\/48) - (-8)\/3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19476471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/4 - 2*y - 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 take away 0.1978?\nAnswer: -24.1978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iissiissisii. Give prob of picking 4 s.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8\/27 + -94\/135. Let f = 0.76 + -4.46. Let t = 4.7 + f. Which is the nearest to 0? (a) 0 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 + -31. Suppose 3*l + 72 = w, -3*l - 44 = -2*w + j. Calculate the highest common factor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 5*z**2 + 5*z**2 + 2*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-17))**(-40) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17368 is divided by 2649?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/15*(15\/(-2))\/5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-23\/5))\/r)\/(r*r*r*r**(-18)*r*r)*(r\/r**(-10)*r)\/r**(-2\/3) assuming r is positive.\nAnswer: r**(316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(243))*1.\nAnswer: -27*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10681*x + 134 = -10655*x - 2*h, -3*h - 165 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -1. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975842 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 440386544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - a + 4*a - 17, 3*a - 7 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 273, 0, 1, -3 in descending order.\nAnswer: 273, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20121 - 10?\nAnswer: -20131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.861294695 to one dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*q + 1259, 5*q = 4*m - 2*m + 1257. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 4. What is the smallest common multiple of 2 and a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2. Let h(b) = 2*b - 13 + 19 + 15 + 5. Calculate p(h(q)).\nAnswer: 20*q**2 + 520*q + 3380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -570307 or -570306?\nAnswer: -570306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a tonne in kilograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 50 = -c. Suppose 0 = 2*d + 4*x, 4*d = -14*x + 13*x - 14. Sort c, 12, d, 2 in descending order.\nAnswer: 12, 2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442 and 242437.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:28 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*y + 4*y + 4*y - 18*y as i*y + v and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 9, w: 1, x: 1}. What is prob of picking 1 i and 1 k?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1400 and 21525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pounnnnunooopoppp. What is prob of sequence uopp?\nAnswer: 5\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/33885 and 157\/5715270?\nAnswer: 17145810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 + 12*k + 4. What are the prime factors of q(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxxxxxuxnxnnxuxxxu. Give prob of picking 2 x and 1 u.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-28)\/(l*l*l**(-9)*l**(1\/21)\/l) assuming l is positive.\nAnswer: l**(-421\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998 + 504 - 7*s + 5*s + 494.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -2*z - z - 4*w + 39, -z + 17*w = 42 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1082, -0.3, 0, 0.06?\nAnswer: -1082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-28) - (-54)\/((-3093552)\/(-1426))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91\/3 - 31. Suppose -x - 2*x - 3 = 0. Let r = -45.7 + 46. What is the biggest value in r, x, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -3*q**5\/20 + q**4\/12 - q**3\/3 + q**2\/2 - q. Let o be h(1). Put o, -1, -4 in descending order.\nAnswer: -1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -38 (c) -16 (d) -1062\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.90242 + 0.5.\nAnswer: 1.40242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 6:39 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 251\/123067 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (112\/(-504))\/(114\/(-72))*6\/(-8)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v + 45 + 49 - 11 + 109. Let q be n(-19). Solve 3*l - 2*k = 4, 0*k + 1 = q*l - 3*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 873 and 852727?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 25*a = 70. Solve -a*z + 8 + 17 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -b + 874, 2*b = 3*u - 0*b - 527. List the prime factors of 7\/(u\/110)*20.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3032087 or 3032076?\nAnswer: 3032087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5507 + -3617. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5218 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -2 + 17. Put y, -4, 4, -2\/7 in increasing order.\nAnswer: -4, y, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 226 + -169. Let j = -59 + d. What is the closest to j in 2, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6*g + g = 895, -6 = 3*g. Let y be 3 - (2 - -2) - -8. Suppose 4*j - s - y = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 59 - 59 + 35*y.\nAnswer: 2*y**2 + 35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -860 - -916.7. Which is the smallest value? (a) -0.4 (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-318)\/(-8))\/(1719\/(-3056)*8\/6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 681 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/6)\/((-4)\/(12\/(-15))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23333473 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (0 + (-15)\/5). Suppose -f*m = -2*m, -c + m = -11. Calculate the lowest common multiple of c and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + -4 + ((sqrt(153) + 0)**2 - sqrt(153)) + 3 + sqrt(272) + sqrt(17) + 1.\nAnswer: 5*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 2*v - 13, -3*k = 3*v + 12. Let l(y) = y + k + 1 - 9. Let t be l(8). Solve -5*o = t + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = 1, -2*n = -2*g - 8. Suppose -2*s + n + 3 = 0. Suppose -379 = -5*c + 2*u, -5*c - 2*u + 83 = -s*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14678, -14679, -14680, -14681, -14682?\n\"Answer: -r - 14677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*n**3 - 2*n**3 - 3 - 8*n**3 wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-13)\/(d**(-11)\/d)*(d**(-1\/4)\/d)**47 assuming d is positive.\nAnswer: d**(-239\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1134 (base 7) to base 3\nAnswer: -120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c1331 + ac?\nAnswer: -5c1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 - d + 3. What is the remainder when f(2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2451)\/(-76))\/43)\/(2*1\/72)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*o - 14. Let q = 16 - o. Suppose 0 = -3*c - 2*j - 1, -3*c = -4*j - 22 - 7. What is the remainder when q is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 8*i**2 - 29*i - 113. Let j be s(-4). Put 5, -2, j, -3, 15 in ascending order.\nAnswer: -3, -2, j, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 + 0*f**4 - 21*f - 2\/5*f**5 + 0*f**2 + 1\/3*f**3. What is the second derivative of k(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8021*s**3 - 14*s**2 - 76*s + 106909504.\nAnswer: -24063*s**2 - 28*s - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 1 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 not equal to 762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csf when three letters picked without replacement from {f: 8, c: 1, l: 4, s: 2}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451*14917.\nAnswer: 6727567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9534 to two dps.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 7*z + 75. Let o(w) = w**2 + 2*w + 25. Suppose 2*n = -3*y - 2, -3*n = -55*y + 59*y + 5. What is n*o(r) + 2*g(r)?\nAnswer: -3*r**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11)*3 - sqrt(11)) + sqrt(11) + sqrt(99) + 5)**2.\nAnswer: -60*sqrt(11) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -15918 (c) 0.1 (d) 0.05 (e) -2 (f) 5 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/12*(-18)\/4. Let q(a) = u*a + a + 2 - 6. Let d(s) be the second derivative of -7*s**3\/6 + 7*s**2\/2 + s. Calculate -6*d(y) - 11*q(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:37 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 258*o + 96. What are the prime factors of s(4)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 898 by 407.\nAnswer: 898\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from zznvnouwu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 29*v + 88 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16298147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*a + 751*a**2 - 285*a**3 - 748*a**2 - 165*a**3 wrt a.\nAnswer: -2700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9388300295 + 5?\nAnswer: -9388300290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5343 by -36.\nAnswer: 1781\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11) + 5*(sqrt(11) + sqrt(33)\/sqrt(3))).\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 190. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22121784*-0.3.\nAnswer: -0.066365352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6624 + -6600. Solve -31 = z - l for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:14 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 - 5*k - 11. Let j be t(7). Let d(r) = -r**2 - 3*r. Let c(p) = -p**2 - 4*p. What is j*d(q) - 2*c(q)?\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4045426 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42 + 11*v + 42)*(-48 + 21 - 117) as h*v + a and give h.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 3*a**2 - 5*a + 6. Let d be t(4). Let v be (d*-2)\/(13 - 11). Let g be (v - -2)\/(0 + -2). Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 12, -2*d - 64 = 2*d - x. Let k = d - -17. Suppose -271*c - 45 = -286*c. Solve c*s - 2*b = 0, -k*s - 1 = -b - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -265 - -387. What are the prime factors of r?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84) + sqrt(84)*1 + sqrt(84))))*4))\/(-2*(sqrt(192) - ((sqrt(192)*2 - sqrt(192)) + sqrt(192)))).\nAnswer: -11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 82*g. Let m(j) = 7937*j - 15946*j + 7976*j. Determine w(m(z)).\nAnswer: -2706*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -209.\nAnswer: -9\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 9:59 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6488517?\nAnswer: 3, 7, 31, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(7\/(-14)))\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319844.\nAnswer: 2, 3, 109987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, q: 3, f: 3, o: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 163 = -16*b - 59 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8066 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**2 + 3. Let g(w) = -8*w**2. What is g(o(x))?\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1970 by -6.\nAnswer: 985\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -2*w**7\/105 - w**6\/30 + 4*w**5\/15 + 2*w**4\/3 - w**2 - 112*w. Find m, given that h(m) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1976*z**2 + 8962*z wrt z.\nAnswer: -3952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 87, 81, 59, 15, -57, -163?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-8) + 4\/16. Suppose p*m - 19 + 4 = 0. What is the first derivative of 11 - 5*a**3 - 5*a**3 + m - 4 wrt a?\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 10) in base 14?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48152 is divided by 11869.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 74*b. Suppose -6*c = 4*c - 0 - 10. What is r(c)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287 divided by -20125\nAnswer: 41\/2875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f + 109*f + 101*f = 2119 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, 314, 1050, 2050, 3296, 4770?\nAnswer: 6454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 12*k - 9 = 14*k, 2*f = -3*k - 4. Sort -5, -2, 3, f in descending order.\nAnswer: 3, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -3.08. What is the smallest value in -5, h, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1421 - 1457 = l, -3*f + 2*l = 5. Let v(p) = -13*p**2 - 35*p + 13. Let d(k) = -4*k**2 - 12*k + 4. Determine f*d(i) + 2*v(i).\nAnswer: 2*i**2 + 14*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**4\/9 - 40*h**3\/27 + 64*h**2\/9 - 128*h\/9 - 56. Factor t(f).\nAnswer: 4*(f - 4)**2*(f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1215 + -1214.9999451. What is z rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023286 to five decimal places.\nAnswer: 0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*o - 29 = 0, 5*o - 1 = 5*x + 54 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4670 - -4714. Solve g*a - 40 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5, 0 = h + h - 5*i - 35. Suppose h*b - 58 = -3. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1531\/8 at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d + q - 40 = 0, 0 = d - 4*q + 6. Let j = 14 - d. Let r = j - 14. Solve -5*c = -r + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242434709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 14553390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -22*g**3 + 12*g**2 + 30. Let z(a) = 9*a**3 - 5*a**2 - 12. Let l(m) = m**3 - 14*m**2 + 18*m + 60. Let j be l(12). What is j*z(w) - 5*h(w)?\nAnswer: 2*w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2575 (c) -1\/10 (d) 0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8\/3) + -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -21753\/9533 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 365245919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 73\/(((9\/(-12)*-4)\/(-361 - -360))\/3)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -1 (c) 2\/13 (d) -8.3 (e) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 28*v**2 - 1. Let t be r(-1). Suppose -5*h = -2*h + t. Is -10 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 112*f. Let z(j) = j**2 + 5*j. Determine z(m(v)).\nAnswer: 12544*v**2 + 560*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.5 - -2.2. Let l = -8.7 + n. Let j = 3 - 6. What is the nearest to l in -2\/3, j, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71193636 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 least common multiple of 8207 and 9?\nAnswer: 73863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 25*s + 211. Determine j(-5).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -16. Suppose 0 = b - 1 - c. Let i = b - -3. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*r**3 - 17*r**3 - 22*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 20393817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 175\/(-70)*-1*4. Suppose 0 = -17*w + 19*w + g. Let b = -0.4 - 0.1. What is the second biggest value in -0.3, b, -4, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258781284\/5 or -51756257?\nAnswer: -51756257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20424 and 5514480.\nAnswer: 5514480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3560 by 40.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34485 and 726.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*s + 322*s - 4 - 733*s + (-2*s + 4*s + s)*(3 - 4 + 4) to the form t*s + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (64\/128)\/(2\/(0 - 128)). Let y = x + 42. What is the smallest common multiple of 31 and y?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/(-14)*(-16863)\/(-99). What is the greatest common factor of m and 1022?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 - 6*w**4 + 11*w**4 + 14*w**4 + w**2 - 14*w as q*w**4 + n*w**3 + j*w + a*w**2 + o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 4 = 14*z. Suppose 4*u - 12 = -4, 2*x + z*u - 104 = 0. What is the remainder when 189 is divided by x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6 and 11.\nAnswer: 28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, -97.6, -4\/3 in increasing order.\nAnswer: -170, -97.6, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (261 - 245) + (-1 + -6 - (-222 - -153))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2, -4, 0.06.\nAnswer: -4, -2, -2\/9, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/((-6)\/30)*-2*21\/1064?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 1, -32, -101, -218, -395, -644, -977?\n\"Answer: -2*j**3 + 5*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2755129.\nAnswer: 1\/2755129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22640877 not equal to 158486148\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*4*1*(sqrt(2736) - (sqrt(2736) - (sqrt(2736) + 0))*1)**2.\nAnswer: -32833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3) + (2 - (0 - 0)). Factor -p*j**2 + 2\/3 + 0*j.\nAnswer: -2*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68.6 - 64.6. Suppose 2*b + 20 = 4*b. Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*2*2 + (sqrt(176) - sqrt(176)*-6)*-3)**2.\nAnswer: 50864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 598753163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 16. Calculate the highest common factor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a - 5. Let t(d) = 21*d - 15. Let o(z) = -9*s(z) + 3*t(z). Let i(c) = -209*c. Calculate i(o(k)).\nAnswer: 1881*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 16*s**2 + 123*s + 119. Is u(-60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 649886 = -34*v - 7868. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -75, -2\/7, 17.46, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -191*h + 193*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 24656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 229339949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (1 - 5))\/((-1)\/(-1)). Let i(y) = -152*y - 2. Is 38 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j. Let a(z) = 4*z. Suppose 0 = 5*d - 2*v, -4*d + 4*v + 16 = -2*d. Give d*f(q) + a(q).\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffqnffnnqq. What is prob of picking 3 q and 1 n?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.4 - -6. Let n(f) = f. Let x be n(3). Suppose -3*o = 5*j - 10, -5*j - 2*o = -j - 6. Which is the smallest value? (a) z (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.9796 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -122*d**2 + 2*d + 240. Let x(f) = -49*f**2 + f + 96. Let m(h) = 5*k(h) - 12*x(h). Differentiate m(z) with respect to z.\nAnswer: -44*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 783*u + 3. Calculate s(-28).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 + 11304143113?\nAnswer: 11304142430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -9, -6 in ascending order.\nAnswer: -9, -6, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 72*i**2 + 77*i - 420. Give z(71).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 11:54 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*r + 8*r. Let w(h) be the third derivative of 5*h**4\/24 - h**3 - 2*h**2 - 8*h - 83. Give w(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 29*l**2 - 167*l + 473. What is w(3)?\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2177524.\nAnswer: 2, 37, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -267.0447 and -0.7.\nAnswer: 186.93129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0)*(-k + 0*k + 0*k)*(-3 - 2*k + 3) to d + b*k**2 + h*k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.2 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:37 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 18134688.\nAnswer: 54404064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/5)\/7 - 4\/(-10). Solve 2*h + 0 + 2 = x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/7747245 and 32\/422577?\nAnswer: 23241735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4912?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -10 - 32. Suppose y*s - 244 = 1502. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1103274 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 47. Suppose b*k = 9 - 6. Suppose 3*i = -2 + 11. Calculate the remainder when i is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/10 + (-1)\/20*-8. Which is the closest to 0? (a) u (b) -1\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15311, 15290, 15255, 15200, 15119, 15006, 14855?\n\"Answer: -d**3 - d**2 - 11*d + 15324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:34 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -883*n + 2. Is m(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 532 = -100*r + 96*r, 2*r - 260 = 4*s. Calculate the greatest common factor of r and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9374 is divided by 628?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)*w*w**21*w assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/18 and -97\/1794.\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) + sqrt(450) + 2 + sqrt(450))**2 - (sqrt(288) + -1)**2) + ((-2 + sqrt(12)\/(sqrt(12)\/sqrt(2)) + -3)*-5)**2.\nAnswer: -46*sqrt(2) + 4440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -48*t + 7652. What is the tens digit of m(31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 12 = 0, -29 = 67*m - 64*m + 5*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 57, 77?\n\"Answer: 20*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*y**2 - 2*y**3 + 7*y**3 + 13*y**2 to x*y**3 + j + b*y**2 + z*y and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-21)*w**(-21)\/w assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 12. Let l = 21 + p. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 92, 142, 198?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12962628 divided by 6481314\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6752416 - -0.02241.\nAnswer: -6752415.97759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 303*v - 302*v - 28 = 0, -c = -3*v + 42. Suppose 0 = -5*a + 8545 - 30325. What are the prime factors of a\/c - (-44)\/77?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 15. What is the nearest to 1 in 4\/5, b, 2\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62119 is divided by 785?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212210010 - -102?\nAnswer: 1212210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 2813*v + 2679*v + 2869*v in the form j*v + k and give j.\nAnswer: 2735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/9 + 286172*b**3\/9 - 572296*b**2 + 3433680*b - 6867264.\nAnswer: -2*(b - 143068)*(b - 6)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.8. Let r = 296 + -299. What is the closest to 0 in 1\/7, p, r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {n: 5, m: 9, v: 2}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*i - 7*i. Suppose 2*s + 4*q = 161 - 551, i = -3*q + 6. Find the common denominator of -79\/6 and ((-78)\/(-30) - 2) + s\/(-60).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494359 + 2*d**2 - 2*d**2 + 15*d**3 - 494361.\nAnswer: 15*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 5*p**2 - 6*p + 2. Let f be h(-6). Suppose 0 = 5*n - 5, 3*n + 0*n = -4*b + 3. Let s = b + f. Solve s*w + 1 = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 6:18 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*g - 4*g**2 + 54*g - g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + 13)\/((-2)\/(-8)). Let t(g) = 0*g**2 + g**2 - 5*g + 0*g. Does 14 divide t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4188862 and 0.2.\nAnswer: 4188862.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 501.8262l?\nAnswer: 501826.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -4, -1, -3.9, 5, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*t - 2299 = 0, 3*s - 4*s - 2*t = -753. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, i: 2, z: 2, r: 4}. What is prob of sequence mr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + b = -0*k + 14, 30 = 2*k + 5*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 5*c - 3*c)*(-4*c + 2*c + 4*c) + 0 + 0 - 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -105, -227, -417, -687?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f, -n - f - 3*f + 21 = 0. Let l = -7 + n. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-1 - sqrt(22) - (1*sqrt(88))\/sqrt(4))\/(sqrt(10)\/(1*sqrt(320))).\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9390*z**3 - 1662*z**2 - 909546*z?\nAnswer: 56340*z - 3324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10*(-1 - 1167\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 348 = -6*j. What is the third derivative of -1490 + 31*p**6 - 37*p**2 + 1490 - j*p**2 wrt p?\nAnswer: 3720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*u - 3*x + 2044 - 2050 = 0, 2*u = -2*x + 3*x + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55859 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 7*n + 192. Let v be 28\/n*11*-2. Let k = v - -43\/3. Is 1 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180403 + -180377. Let d = 1.5 - 2. What is the fourth smallest value in v, -1, 0.1, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111292315 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*2)\/sqrt(11) - sqrt(2268))**2.\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**2 - 3*k + 1. Let m = 7402 - 7405. Calculate y(m).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 9*v + 4. Let j = -5 - 4. Let m be t(j). Let h be ((-1)\/4*10)\/((-10)\/8). Solve 0 = -9*a + m*a + z + 8, 0 = -a - h*z + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ee + -4?\nAnswer: ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 4. Let x be a(2). Let u = 113 - 114. Sort -12, u, x.\nAnswer: -12, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Let l(h) be the second derivative of -h**4\/6 - 14*h. What is s(l(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5635572.18 rounded to the nearest 10000?\nAnswer: 5640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*h**4 + 4384505*h**3 + 110443152*h**2.\nAnswer: 624*h + 26307030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16464150*g**3*i**3*n**3 + 5*g**3*i**3*n + 18*g**3*i*n + 2*g*n**2 + 3*i**3*n**3 + 13676*i**3*n**2 wrt n.\nAnswer: -98784900*g**3*i**3 + 18*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -109, -251, -445, -685, -965, -1279?\nAnswer: -1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 22*q**5 - 174*q**4 + 248*q**3 + 24*q**2 = 0.\nAnswer: -1\/11, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29.1 or -12630?\nAnswer: -29.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3090654*p**3 + 17*p**2 - 2*p - 32527214.\nAnswer: -9271962*p**2 + 34*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 57 = x, -x - 21 = -5*o + 270. Is o <= 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/610)\/(-71 + 3058\/44)?\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((4 - 4) + 5)*(-2 + 1). Let s(k) = 3*k**3 + 3*k**2 - 4. Let b(c) = -2*c**3 - 5 + 0*c**2 + 4*c**2 + 6*c**3. Calculate q*s(w) + 4*b(w).\nAnswer: w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*x - 2115, -2*x - 1089 + 266 = -5*b. Let o = x - -829. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 12. Let u(l) be the third derivative of 7*l**4\/8 - 3*l**2 - 423*l. Give h(u(k)).\nAnswer: -42*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 2333727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 - 337 = 70*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9*t + t. Let q(l) be the third derivative of 2*l**2 + 0*l**4 - 1\/20*l**5 + 0*l + t + 1\/2*l**3. Find the first derivative of q(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*n = -3*s - 94*n + 152, -s = -n - 39. Calculate the remainder when 174 is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71, -57, -43, -29?\n\"Answer: 14*u - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -20 - q + 0*q**2 + 146\/3*q**3. What is the hundreds digit of f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 65. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 716. What are the prime factors of k?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606298806 rounded to the nearest 1000000?\nAnswer: 2606000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2568)\/(-1605) + (-584)\/40.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (5 + -1 + (2 + 6 - 15))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110+-13915.71504\nAnswer: -13805.71504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 149827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27549 is divided by 72.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 565*p*t**3*z**2 - 21*p*t + p*z + 2*p + 665*t**4 + t*z**2 + 35*t*z - 2*t wrt t?\nAnswer: 3390*p*t*z**2 + 7980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8336, 10789, 13242, 15695, 18148, 20601?\n\"Answer: 2453*x + 5883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*a + 415, 2*f + 3*a = -2*f + 332. Suppose 85*i = f*i + 2. Sort -12, 3, i in decreasing order.\nAnswer: 3, i, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n**2. Let w(t) = -7*t**2. Calculate z(w(m)).\nAnswer: -735*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.88 + 8.88. What is the closest to -4 in 0.06, l, 0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 70 = -10 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 578*i**2 + 28 - 2356*i**2 + 30.\nAnswer: -1778*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**3 + y**2 + 3*y + 1. Let s be p(-1). Suppose s*u + 3 - 7 = -5*z, -z - u = 0. Solve a - z*a = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5, -1\/6, 43\/2, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v**(-14))**(-28)*(v*v*v**(1\/3)*v)**(4\/23)*(v*v*v**(-4))\/((v*v\/(v*v**(1\/12)))\/v) assuming v is positive.\nAnswer: v**(38517\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -160461637.\nAnswer: -160461637.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000642 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*u**3 + 40*u**2 + 135*u + 50 = 0. Calculate u.\nAnswer: -5\/6, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -6\/37, -16 in decreasing order.\nAnswer: 8, -6\/37, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 11151515 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - (1\/(-4) + (-382)\/8) is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, g: 3}. Give prob of picking 2 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-2)\/(sqrt(8)\/(sqrt(12)\/sqrt(3))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -137359*0.22\nAnswer: -30218.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30380 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 56*c**2 + 57*c - 19. What is i(57)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331548691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 y when four letters picked without replacement from znyzznzyzyzzzyznnzn.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -329*i**3 - 2*i + 505*i**2 - 2 - 320*i**3 + 648*i**3 to the form u*i**3 + r*i**2 + p*i + w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1168*k - 1178*k - 20 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335529 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5 - 2370*s**4 - 7505*s**3 + 166950*s**2 = 0 for s.\nAnswer: -10, 0, 7, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 24, 15, -5, 11 in ascending order.\nAnswer: -5, -0.5, 11, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 + 41\/4. Suppose b = -4*w + 3*n - 53, -2*w = 4*n + 4. Does 29 divide (3 + (-556)\/(-8))*w\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.95 + 0.05. Let n = -99 - -96. Sort -1, p, n in increasing order.\nAnswer: n, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2387 and 1002757?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*y - 19 + 1, 3*y = n - 17. Let l(j) be the first derivative of 1\/3*j**3 + 1 + n*j - j**2. Determine l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143\/7560 + -2\/189. Let a(x) be the third derivative of b*x**6 + 0*x + 3\/2*x**3 + 2*x**2 + 0 - 1\/24*x**4 - 1\/60*x**5. What is a(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4752.265 times 1?\nAnswer: -4752.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/(-10))\/(76\/(-190)). Suppose p*c - 5472 = -6*c. What is the remainder when c is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 132, 137, 142, 147, 152?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154846 is divided by 1302?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-9) + (-7)\/(-9). Let o(k) = -4*k**2 + k + 1. Let y(n) = -n**2 + n + 1. Calculate t*y(s) - o(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 12.643?\nAnswer: -3.7929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3 + 44*p**2 = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21d0 + -7?\nAnswer: -21d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*x - 7 + 1, k - 14 = -5*x. Suppose -369 = -x*z + 27. Calculate the highest common divisor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 956 divide 252174119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2164*b**5 + 25969*b**4 - 80080*b**3 + 90925*b**2 - 34666*b + 16 = 0. What is b?\nAnswer: 1\/2164, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:12 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 2, -7, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c (base 16) to base 13.\nAnswer: -1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 69876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 66*x + 925. What is i(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -15, -4, -1\/3 in descending order.\nAnswer: 0.5, -1\/3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 194535 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, l: 13, w: 3}. What is prob of picking 1 w and 2 l?\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 6) in base 14?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 2*g + 1. Let i be j(2). Calculate the greatest common divisor of 9 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25081 + 25081 + 106*z)*(-15*z - 1 + 1).\nAnswer: -1590*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -2 - 3 - 31. Let x = -14 - q. Calculate the remainder when 38 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1486, 2595, 3690, 4765, 5814, 6831, 7810, 8745?\n\"Answer: -a**3 - a**2 + 1119*a + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9909.1 - -9909. Which is the nearest to 2\/5? (a) -4 (b) y (c) 1 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 2*y + 5*y)*(-11 + 11 - 12)*(2*y - y + 0*y + (3 - 4 + 3)*(-y + 2*y + 0*y) - y - 2*y + 4*y)*(1324 + 69*y - 1324).\nAnswer: 3312*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + u = -79, -2*p = -3*u - 8 - 21. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -313502 + -23?\nAnswer: -313525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-12) - (-303)\/18. Suppose -21*j**2 + h*j**2 + 4 + 4*j - 4*j = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*q**2 - 255 + 255 to the form j + p*q**2 + i*q and give p.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = 3*i, -i - 4*y - 5 - 15 = 0. What are the prime factors of ((-18)\/4)\/(6\/i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11162*r**2 - 6002*r**2 + 5676*r**2.\nAnswer: -11488*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-11*1\/55)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23486164181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 127*k**3 + 12*k**2 + 6*k + 125. Let u(c) = 2541*c**3 + 238*c**2 + 119*c + 2499. Let j(z) = 119*b(z) - 6*u(z). Differentiate j(o) with respect to o.\nAnswer: -399*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6*(-42)\/7. Suppose -84 + 377 = 5*l + z*s, l = 5*s + 37. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:32 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1569\/2, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10011111 (base 4) to base 6\nAnswer: -205233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -3*(-2)\/3)\/(-1). Suppose s - p*c = -40, s + 3 + 37 = -5*c. Calculate the common denominator of (1 + 38\/s)\/((-3)\/27) and 109\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 7*c + 6. Let k be ((-6)\/5)\/((-2)\/10). Let f be m(k). What is the units digit of 10\/4*(f - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:11 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-6)\/240*5)\/(6\/(-5))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689 = 1023*a + 11059 + 27556 - 6568 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 17*g + 98. Let s(r) = r**3 + 19*r**2 + 13*r + 86. Is s(g) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 14 = 3*l, 11*x + 318*l - 319*l = -46 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*s**3 - 107489*s - 3 - 2*s**2 + s**2 + 214966*s - 107481*s - 2*s**4 in the form o*s + w*s**3 + i + l*s**2 + r*s**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 192*u + 202. Determine o(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 3, 2, 0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341184 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 288?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2\/4 + 109740*i - 2408573520 = 0. What is i?\nAnswer: 43896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 - (6 - 2 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033259 rounded to four dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 9. Let f be q(7). Let g = 23 - f. Solve g = 2*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**4 + 3*x**3 - 4*x = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 33238*r**2 + 8*r + 19. Is s(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 30 = 6. What is the highest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.5 (b) 4 (c) 291834\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*z - 30 = 0. Let v(t) = -t**3 - 8*t**2 + 4*t + 3. What is the remainder when v(-9) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -6. Let y = -887 - -898. What is the remainder when f is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**5\/5 + 2*h**4\/3 + 14*h**3\/3 + 8*h**2 - 72*h - 35. Let x(l) be the first derivative of a(l). Factor x(s).\nAnswer: -4*(s - 4)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25183 is divided by 3167.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 104?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 417 + -745. What is the common denominator of 4\/(-18) - v\/(-576) and 11\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -335 + 341. Solve -21 = 9*l + b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1468669 = -1468667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94903 = -3*l + 2*k, -5*l + 91985 + 66196 = -k. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - ((-2)\/(-2) + -2). Suppose 2 = -n*m + 8. Find p such that 2*p**2 - 4*p**3 - 3*p**2 + 7*p**3 - m*p**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 33 - 67 + 1275*t.\nAnswer: 1275*t - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4972260 to the nearest integer?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (459\/12)\/(3\/8). Suppose 5*r - t - 78 = 0. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269030112.\nAnswer: 2, 3, 13, 73, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-1) - 1) + 74\/26. Let g = -6.09 - -1.03. Let p = 0.06 + g. Which is the nearest to -0.1? (a) d (b) -3\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 400\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2072946 equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -16*t**2 + 4444*t - 141705. Determine y(241).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09595 rounded to three dps?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((150\/(-15) - (-3 + -2)) + 2)*5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v + 78. Let w be t(-3). Let d = w - 9. Do 37 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-1))\/((27 - 23)*4\/8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2251390002 - -0.6.\nAnswer: 0.8251390002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s + 62*s - 5*h = -12, 2*s - 10 = -4*h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150328 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**7\/840 + g**4\/4 + g. Let s(p) be the third derivative of f(p). Let a(j) = j**2. What is a(s(w))?\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 6*w**2 + 2*w. Suppose -3*u = -3*n - 42, -3*n - 45 - 15 = -5*u. Suppose 54 = -9*k + u. Let d be i(k). Solve 6*f + d = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 - 17*o**2 + 13*o - 16. Give d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -114 - 20600000*x + 114. Let o be y(1). Round o to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238289 and 1857318.\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-15 + 3) - (4 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 42\/(-245)*-15*7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 1. Let d be l(-8). What is the lowest common multiple of (1 + 0)\/(d\/(-63)) and (-33)\/(-27) - (-2)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 136*m**2 + 503*m + 2019. What is q(-4)?\nAnswer: 2183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74745 (base 8) in base 14?\nAnswer: -b52d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1442*c - 1221. Let t(i) = 4*i. Calculate t(j(g)).\nAnswer: -5768*g - 4884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**5\/5 + 4164*b**4\/5 + 1274331*b**3\/5 - 117685578*b**2\/5 + 2908546932*b\/5 - 3726636504 = 0.\nAnswer: -733, 10, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 8, h: 5, t: 1, y: 2}. What is prob of picking 2 h?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -25 and 656013 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 - ((14 - 0) + 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in -0.3, -4, 14802, 7, 1\/2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2547356972 to the nearest integer?\nAnswer: 50471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 6 + 14. Suppose 0 = -y*q + v - 811, 2*q + 3*q = 3*v - 803. Let c = -73 - q. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57900 and 53700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -12 in increasing order.\nAnswer: -12, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/6, -14 in descending order.\nAnswer: 8, -1\/6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 73 = -h, -2*h - 2*x = -3*h + 73. Suppose -4*g = -h + 1. What is the greatest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145547729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*q = -q - 16, x - q = 8. Is x\/(-6)*45951\/(-34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83, 76, 59, 26, -29?\n\"Answer: -x**3 + x**2 - 3*x + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185656 - 37873975\/204. Let y = -1\/102 + j. Let t = 2.1 + 1.9. What is the third smallest value in y, -3\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.29 * -0.4.\nAnswer: 1.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)\/(-39 - -37). Let z(x) = -2*x**2 - 7*x - 1. Let t be z(-5). Let n be 18\/(-28)*56\/t. Is n at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*s - f, -39*s + 3*f = -34*s + 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -45, -56 in ascending order.\nAnswer: -56, -45, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2101330021 - 44?\nAnswer: -2101330105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 320f?\nAnswer: -320e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 855.9579 rounded to the nearest ten?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (1 + (sqrt(11) + -3)**2 + -5 - (-6*(sqrt(132) - 3*sqrt(132)))\/sqrt(12))).\nAnswer: -18 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107182 - -107219. Calculate the remainder when (6\/(-4))\/(3\/(-436)) is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2390 and 241390.\nAnswer: 241390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*r = -a + 54, -4*r + 98 = -3*a. Let s = 66 - 65. What is the units digit of (-396)\/a - s\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9 (b) -2\/3 (c) 4 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Suppose 2*f + 4 = v*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/10)\/((-1)\/(5 - -1)). Let p be (-6)\/(-1 + 1\/(-1)). Suppose w + 5*r = p - 18, -21 = -5*w - r. Is q at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2985551 is divided by 33536.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 4. Suppose -j - 21 = -5*i. Let o be (2 - i\/3)*-6. Solve -2*f + 12 = o*h - 5*f, -5*f - 12 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**3 - 2 + 12 + 0*z**3 - 6. Let o = -11 + 8. Let w(t) = 4*t**3 - 3. Determine o*s(r) - 4*w(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - l + 2. Let m be w(-2). Let q(r) = r**2 - 24*r + 98. Suppose 0 = 15*x - 15 - 75. Let a be q(x). Put 3, 5, m, a in decreasing order.\nAnswer: 5, 3, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t - 38. Let o be v(8). Solve 5*q = o*j - 20, -2*j + 6 = 2*q - 0*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136.38 + -137. Let x = r + 0.6200692. Round x to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -24385*r**2 + 7*r - 111. Let k(b) = -12193*b**2 + 4*b - 55. Let q(s) = -7*k(s) + 4*n(s). Let z be q(13). What is z rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -6 - (-8 - -17) - (2 - 15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 - 493. Let x = 363 + o. Calculate the remainder when 188 is divided by x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:50 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (0 + -19 + (-16 - -2) + 27)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 36 - 46. Calculate the lowest common multiple of 7 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-402)\/871*(-130)\/18\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l**4 - 45090*l**3 + 2445411*l**2 + 4682448*l - 778092 = 0. Calculate l.\nAnswer: -2, 2\/13, 59, 1099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2930, -48, -5 in descending order.\nAnswer: 3, -5, -48, -2930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1005, 991, 967, 927, 865, 775, 651, 487?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 11*g**2 + 5*g + 10. Let s = 32 + -42. What is the remainder when m(s) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 339 and 14879162.\nAnswer: 44637486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Suppose -5*q + 3*a + 0 = -6, 2*a - 18 = -4*q. What is the closest to 1\/4 in q, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2223304 (base 7) to base 14.\nAnswer: 72274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 2:15 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21*(-100)\/175)\/((-5 - 0) + (-129)\/(-6))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 6 - (-12 + -10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/28)\/(w**(-4\/11)*w)*w**(2\/29)\/w*w*w**(2\/9) assuming w is positive.\nAnswer: w**(-30619\/80388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**3 + 4*i**2 - 9*i. Let k(v) = -6*v + 67*v**2 - 2*v**2 - 60*v**2 + 2*v**3 - 3*v + 5*v**3. Determine 2*k(c) - 3*x(c).\nAnswer: -4*c**3 - 2*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -1 + (9 - 45\/3). Is (5204 - a) + 0*4\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(52)\/sqrt(4))*-2.\nAnswer: -2*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10436 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 4 (c) 0.2 (d) -701\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15380 is divided by 46.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2. Suppose -5*s = -2*s + 12. Let z be 7 + (-1)\/4*s. Let o(u) = z*u + 0*u + 0*u. Give o(x(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ougkv. Give prob of sequence oo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/21 - 7\/(-3). Suppose -3*z = -f - 0*f + 1, 0 = 3*z - 5*f + 17. Is 13 a factor of (-13)\/g*((-28)\/4 + z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*2*sqrt(6776))\/(sqrt(32)\/(1*sqrt(4)) - (sqrt(8) + sqrt(8) + sqrt(72))*5).\nAnswer: -11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7))**48 assuming q is positive.\nAnswer: q**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1786, 3253, 5698, 9121, 13522, 18901, 25258?\n\"Answer: 489*o**2 + 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 5 - 19*x + 7*x - 23*x**3 + 5*x.\nAnswer: -23*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157 or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fssfssfsffffsftstf. What is prob of picking 2 f?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 128 + 136 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.092293 micrometers?\nAnswer: 7092.293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 273*j**2 + 846*j - 5044. Determine k(276).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6429828*a + 2498750 wrt a.\nAnswer: 6429828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l. Let q(o) be the second derivative of o**3\/2 + 5*o. Give q(v(f)).\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose 15 = -2*u + 3*g, -5*g + 25 = 5*u - t*u. Let l be 5\/(-25) - 6\/15. Is l at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.13, -8, -0.2 in increasing order.\nAnswer: -8, -0.5, -0.2, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41004111 (base 7) to base 6.\nAnswer: 201054030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 30 + (-31 - (5 + -6))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -281, -0.18, 3\/7.\nAnswer: -281, -0.18, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 25*x - 56*x - 235*x + 116*x.\nAnswer: -2*x**3 - 200*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3676.604 millilitres to litres.\nAnswer: 3.676604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 23, 28, 15, -22?\n\"Answer: -s**3 + 24*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -12*n - 16. Let d = -18 - -8. Let z be (n\/(-22))\/((-5)\/d). Is 1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 10:37 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (26\/6 + -4)*24. What is the hundreds digit of l\/4 + 17061\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + -0.02. Let d = 0.006 - x. Round d to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296.9*15\nAnswer: -4453.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, c: 2, q: 3, y: 5, i: 1}. What is prob of picking 1 i, 1 y, and 1 d?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -152\/2647?\nAnswer: -152\/2647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 223273 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:04 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -11) + (53 + -31 - 31) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519156841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)*28\/(-21). Is 13 a factor of (39\/(-9))\/(n\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(200) - sqrt(2)) + -3)**2.\nAnswer: -114*sqrt(2) + 731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20200210211012 (base 3) in base 7?\nAnswer: 42151436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -723.622123 to one dp.\nAnswer: -723.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/16 + 49179\/10140)*2*255\/8?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 1. Let t be f(2). Let a = 14 - t. Suppose u + 4 = -u - 3*b, -b = -a*u + 24. Do 3 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898713.5 rounded to the nearest 1000?\nAnswer: 3899000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5629.643 to the nearest ten.\nAnswer: 5630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -736*c + 776*c = -12320. Is -308 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1723*x = -1717*x + 60 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -65*v - 376. What is the remainder when g(-9) is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7 take away -457904291?\nAnswer: 457904280.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffddfdfffddffff. Give prob of sequence dfd.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let m be (-1)\/14 + (-8)\/(-14). What is the second smallest value in 0, m, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 67599 - 1580 = -28*c. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - x + x**2 + 2*x - 2*x - 2. Let n = -10 + 16. Give o(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*p = -9 + 1, -4*k - 8 = 5*p. Let d = k + 4. What is the second derivative of -d*n**2 + 5*n**2 + 0*n + 3*n wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r + 0*r)*(-4 - 2*r + 4)*(-24 - 41 - 364).\nAnswer: 858*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 4386*f**2 - 88767*f - 226746.\nAnswer: 3*(f - 1482)*(f + 3)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 264653 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 10. Calculate the common denominator of (-4)\/(60\/(-51)) - 0 and (t\/4)\/((-63)\/1036).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 268 and 3685.\nAnswer: 14740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3 + 363*h**2 - 22365*h + 63801 = 0.\nAnswer: -417, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7502, -8490, -11214, -16556, -25398, -38622, -57110?\n\"Answer: -147*g**3 + 14*g**2 - g - 7368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 355 = 2*a - a, -2*a = -o + 71. Suppose -2*y + y + o = 5*r, -63 = -5*r - 3*y. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 16*u**2 - 18*u + 50. Let v = -267 - -282. Let w be f(v). Let s be (-1)\/4 + (-34)\/(-8). Sort s, w, -4 in descending order.\nAnswer: w, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0 - 1\/420*f**5 + 1\/168*f**4 + 3*f**2 + 0*f + 1\/21*f**3. Factor o(z).\nAnswer: -(z - 2)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-20)*-2)\/(2\/(-5))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4984, -3729, -2472, -1213?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593906*o + 3954 + 3468112*o - 3954.\nAnswer: 2874206*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20861301 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(2*sqrt(242) - sqrt(242))*1)\/((sqrt(36)*6)\/(sqrt(2) + sqrt(16)\/sqrt(32))).\nAnswer: sqrt(3)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 148 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -8893.\nAnswer: -8897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -4. Let m = 6 - a. Suppose -3*u - 2*f = -f - m, -23 = 2*u - 5*f. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5)*(-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49761 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/9*2 + (-3028)\/(-18).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037957 millennia in years?\nAnswer: 37.957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:45 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-5)*35\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13335553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674, -649, -624, -599?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 29. Let o = 11 - i. Let p(g) = g**3 - 9*g**2 + 3*g + 41. Calculate the remainder when o is divided by p(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 696*l - 2. Let y(s) be the first derivative of -s**3 + 5004. Determine i(y(b)).\nAnswer: -2088*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8116 = 8115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.312637145 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from lpddddllldlll.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = -5*d + 34, -3*d = 4*w - 32. Suppose t - 20 = -d*t. Suppose t*s + s = 65. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 769 - 769. Solve m = 13*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 11*a - 76*a**2 + 99*a**2 + 12*a in the form s*a**2 + m + w*a and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 41*c - 75*c + 29*c - 6 + 7*c.\nAnswer: 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23990, -23989, -23988, -23987, -23986?\nAnswer: -23985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*d**2 - 86*d**2 - 85*d**2.\nAnswer: 103*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.040999 + 0.0415. Round t to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 62*m. Let c(z) = -2*z**2 - z + 72209. Calculate f(c(i)).\nAnswer: -124*i**2 - 62*i + 4476958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -46441527\/4 at most -11610382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1330421 + 3?\nAnswer: -1330414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -0.5 (c) 342 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 64 = h - 107, 4*f - 3*h - 719 = 0. What is the units digit of (-1 - 41)*f\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 595409 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Find the second derivative of 5*f**4 - 2*f - 4*f**4 - f - 3*f**t wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -223 by -4.\nAnswer: 223\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 1536*f - 27306. Calculate l(18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 131.8 and 36760.187403.\nAnswer: 36891.987403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 24*m**2 - 68211*m - 68210. Calculate j(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(135)*-2)\/sqrt(5))\/(-1*sqrt(81) - sqrt(81)) + (sqrt(60)\/sqrt(18))\/((sqrt(100) + (sqrt(100) - 1*sqrt(100)))\/sqrt(10))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758 - 365 + 40*n - 393.\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(3 - 2 - 0). Let h be 627\/44 - 1\/4. Suppose 0 = -x*f + 146 + h. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 1, s: 1}. Give prob of sequence bqs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**23)\/s)\/s*s)\/(s**(1\/22)\/s)*(s\/(s*(s*s\/(s\/(s\/s**24)))\/s))**(1\/69) assuming s is positive.\nAnswer: s**(1603\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 2, 46, 108, 188?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 414.36 from 3851171.\nAnswer: 3850756.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 28*h**2 + 5*h + 7. Let l(p) = 6*p - 4 - 7*p**2 - 4*p - 4*p - 7*p**2. Let r(v) = -5*l(v) - 2*t(v). What is the derivative of r(d) wrt d?\nAnswer: 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k**2 + 4. Let m be t(4). Suppose 3 = -5*b + 3*h, 4 = -3*b + 5*h - 1. Solve -f + m*f - 3 = b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/h**(-2)))\/h*h**(1\/15)\/h assuming h is positive.\nAnswer: h**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + -3 - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 + -52 + 0)*12921\/(-236)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 82852\/714 - 6\/153. Solve q*m - 121*m = -10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20202134 (base 5) in base 13?\nAnswer: -59138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1110\/(-407))\/(12\/33)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.57 and -55634.\nAnswer: 31711.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 43*((-16)\/4 + 9). Suppose 98 = 222*o - m*o. Solve 2*j + o = -5*g + 6, -3*g - 2*j = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 314375 + -8b?\nAnswer: 3142c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.8 and 0.71?\nAnswer: 2.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(143) - 2*(sqrt(143)*-2 + sqrt(143) - sqrt(143)))\/(2*sqrt(176) + sqrt(11)).\nAnswer: 5*sqrt(13)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1017 - -681. Suppose -7*y - a = 521. Round y to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/((-3)\/(-30)). Let b(h) = -2*h**3 - 5*h**2 + 5*h. Let p(w) = 24281 + w**2 - 12142 - 12139 - w. Give m*p(g) + b(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993398.3 micrograms to tonnes.\nAnswer: 0.0000009933983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 7\/9, 10, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (408*a**2 - 71*a**2 + 44*a**2 - 2*a)*(-2*a**2 - 5*a**2 + 3*a**2).\nAnswer: -1524*a**4 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105379012.\nAnswer: 2, 127, 283, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388815123 to the nearest integer?\nAnswer: 19718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/17853 and -83\/8115.\nAnswer: 89265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (47\/517)\/(3\/99). Let x(z) be the first derivative of 1\/34*z**4 - 35 + 49\/17*z**2 - 28\/51*z**d + 0*z. Factor x(b).\nAnswer: 2*b*(b - 7)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545 - 1366 + 1902 - 37*a.\nAnswer: -37*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -108. Let v(y) = y**3 + 4*y**2 + 2*y + 2. Let a be v(-2). Let w(u) = u**2 - 9*u + 15. Let h be w(a). What is the smallest value in h, 5\/6, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 57*n - 2. Let s be b(1). Let l = -27 + s. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(60)\/sqrt(2) - sqrt(30))\/(-3*sqrt(160) - sqrt(10)) + 0)**2.\nAnswer: 48\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 11 - 12 - (120 - 101) - (2 + 7)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -0.331092721.\nAnswer: -35.331092721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1424127.47 and -330.7.\nAnswer: -1424458.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 - 3*u**3)*(-u - u + 0*u)*(2 + 3 - 1).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**4 + 2*i**3 + 1128*i**2 - 6*i - 4204700 wrt i?\nAnswer: 4*i**3 + 6*i**2 + 2256*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19991933 is divided by 162?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3755 - 7771 - 35*y + 3755 as m + u*y and give m.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbubbbbbubb?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 7, 6, -0.7, 1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:35 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -105 - 70. Let g = -33 - f. Solve -5*t + 9 = -4*h, -2*t + 32 = 3*h + g*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*4\/(-17). Let o(r) = -2*r**3 - 23*r**2 - 4*r - 215. Let z be o(-12). Sort z, -0.5, u in decreasing order.\nAnswer: u, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12\/7, -2, -0.13, 0, -1.4, 2?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 27740331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:52 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = z - 18, 71*z = 66*z - 2*h + 24 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.347 rounded to two decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 125123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 10*n + 2. Let u be g(10). Suppose 0 = 3*t - 15, t + 40 = u*v + v. What is the remainder when 44 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10312011020 + 2?\nAnswer: 10312011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/138 and 53\/6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5763614 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209 - 207. Suppose -117 = o*p - 469. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27109, 27128, 27147, 27166, 27185?\nAnswer: 27204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + 2*l**4 + 0*l**4)*(9325 + 19639 + 14494 - 3997 - 6578).\nAnswer: -32883*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -4*c. Let n(m) = 4*m**3 - 6*m**3 - m**2 + c - m + 3*m**3. Let l be n(2). Solve -5*i - 10 = -3*s, l*s + 3*i = -i - 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.43 + 0.13. Let c = 6.2606 - 2.2606. Put p, -10\/3, c in increasing order.\nAnswer: -10\/3, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1393 + -1083697.81\nAnswer: -1085090.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 - 4.58. Let a = 3.4 + l. What is a rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1146774 + 1?\nAnswer: -1146773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u + 2*u**2 + 6 - u**2 + 0. Let h be l(11). Calculate the remainder when 31 is divided by h\/9*(-66)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118*c + 1122*c = -4*s - 12, -4*c - 18 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 10. Let d be m(3). Suppose c = d*u - 10, 2*u = 5*c - 0*c + 14. Let f be 1569998 - 8\/(-2) - u. Round f to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.99 - -0.01. Let u(t) = 2*t**3 - 132*t**2 - 7*t + 460. Let r be u(66). Which is the nearest to -6? (a) 5\/3 (b) r (c) 2\/5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 7*c + 11*c.\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11558.\nAnswer: 2, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 9*n - 770. Determine f(17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10516\/7887*4*2\/12*(-9)\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137.4 - 62.5. Let b = v + -74.401. Let u = 0.089 - b. What is u rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -24*v + 71. Suppose -6 = g - 2, -5*g = 4*q + 48. Let a(w) = 17*w - 48. Let f(r) = q*a(r) - 5*p(r). Give f(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76466 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1 (c) 2 (d) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1356 + -1361.81. Let m = k + -0.45. Let w = 6.2957 + m. Round w to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 15*v - 16*v + 48 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2301630 and 81234.\nAnswer: 6904890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 38*a - 104 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**7\/168 + p**6\/60 - p**5\/80 - 26*p. Factor c(s).\nAnswer: -s**3*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h. Let j(g) = 323*g - 5562. Determine o(j(u)).\nAnswer: 646*u - 11124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by -169217?\nAnswer: 252\/169217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**6)\/q**(-2\/3)*q**(-1\/5)*q\/q**(-6))\/((q\/(q**(-1\/3)*q))**(-43\/5)*(q\/(q\/(q\/((q*q**(1\/4))\/q))))**(-41)) assuming q is positive.\nAnswer: q**(577\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176684017 to the power of 1\/3, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**3 + 27*l**3 - 50*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 + 29*d**3 + 48*d**2 - 28*d - 48 = 0.\nAnswer: -4, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 - 68. Let n = 77.39 - h. Let m = -0.29 + n. Which is the fourth smallest value? (a) -2 (b) -1 (c) m (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50946750251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 - 4122?\nAnswer: -3340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5834 - -6397. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1776\/(-72))\/(-37))\/((-19)\/((-627)\/748)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -32\/72355007?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818992784?\nAnswer: 2, 3083, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 120164279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 - 306*d**2 - 88938*d - 4133430 = 0 for d.\nAnswer: -81, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -38*p**3 - 2*p**2 - 3*p - 1. What is the remainder when l(-1) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = -5*h - 36 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**2*k*k*k))\/k)\/(k*k*k**(-2\/9)*k))\/(k**(2\/7))**(1\/15) assuming k is positive.\nAnswer: k**(-2771\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3741 >= -1331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3863 - -4152. Solve 75 = 91*p - o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4612.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 31*x - 15*x - 48 = 2*p, 50*x = p - 132 + 13 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 5*k**3 + 3*k**2 + 4 - 4*k**3 + 3*k. Let o be p(-3). Let s = -0.89 + 0.49. Which is the second biggest value? (a) s (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, b: 10, t: 2}. What is prob of picking 1 r and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233112 (base 7) to base 2.\nAnswer: -100110111101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x + 11. Sort 3, 12, x in descending order.\nAnswer: 12, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*v + 7, -4*v + 7 = -r - 4. Suppose 0 = r*a + 7*a - 13*a. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 221 - 210. Let r(x) = 26*x - 10. Let d(g) be the third derivative of -5*g**4\/24 + g**3\/3 - 6*g**2. What is n*d(k) + 2*r(k)?\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17269 (base 10) to base 2\nAnswer: -100001101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*o - 696 = 290*o. Calculate the greatest common divisor of o and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**6*j\/((j*j**(2\/13))\/j))\/(j**(-9)\/((j*j\/(j*j**(-9)*j*j)*j)\/j)) assuming j is positive.\nAnswer: j**(167\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-4 + -3 + 11)) + 1. Let m be 100\/10*((-4)\/2)\/a. Find the common denominator of -1 + (112\/m)\/((-162)\/(-30)) and -74\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16145.000032395 - 16145. What is p rounded to 7 decimal places?\nAnswer: 0.0000324","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 632 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 divided by 241?\nAnswer: -170\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -887.42 and 4.\nAnswer: -3549.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -20. What is the lowest common multiple of 1 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*1*15540\/(-36630)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 - 1087*g - 1181569\/2.\nAnswer: -(g + 1087)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)*(5 + 0). Let n be i*(-1)\/(-2)*-2. Suppose n + 1 = c. What is the highest common factor of c and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8254507*q**2. Let m(k) = -25*k**2. Calculate n(m(a)).\nAnswer: -5159066875*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b + 23 = -5*p, 2*p = 2*b - 12. Let n(s) = -s + 2. Let f be n(0). Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47923027547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 12 - 3. Let t be (((-9)\/(-2))\/1)\/y. Let i = 1\/17 + -41\/119. What is the biggest value in -1, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252 + 991. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d\/d**3*d)*d**2*d**(3\/4)*d*(d**1\/d)\/d*d assuming d is positive.\nAnswer: d**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3621, 7245, 10869, 14493, 18117, 21741?\nAnswer: 25365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/9 and 5\/95994?\nAnswer: 95994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 = 4*q. Solve 12 + 8 = 5*g - q*t, 0 = -3*g + 5*t + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = -89*y - 80*y + 64*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 5*o + 2. Let h(i) = i**3 + i**2 - i + 3. Suppose 0*c - 2*c = 0. Let b be h(c). Give k(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131819.0135 to the nearest ten.\nAnswer: -131820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 656, 2482, 5494, 9692, 15076, 21646, 29402?\nAnswer: 38344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5))**(-6\/13)*(b**(-1))**(1\/4) assuming b is positive.\nAnswer: b**(-41\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 478828 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -538.27 - -538. Let h = -0.05 + 0.2. Let g = h + z. What is the smallest value in 0.3, -3\/7, g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*x + 156*x + 117*x + 6 - 83*x.\nAnswer: 322*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/34277824 and -97\/112756.\nAnswer: 34277824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, -0.1, -42, -2\/3 in descending order.\nAnswer: 0.5, -0.1, -2\/3, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-3*j - j + 6*j) - 12*j - 15*j + 21*j + j + 2 - 2.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57586 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -5 (b) 154 (c) 7 (d) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z + 23. Let n be q(-4). Calculate the highest common divisor of n and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u**2 + 49*u**2 - 89*u**2 + 179.\nAnswer: -u**2 + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 7:44 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 40. Let i(d) be the first derivative of 2*d**3\/3 - 15*d**2 + 55*d - 336. Let g be i(13). Solve b*v - 10 = g*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22423 and 69853.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -7*u**5 + 10*u**4 - 113*u**3\/3 - 19*u + 5255. What is the third derivative of w(b) wrt b?\nAnswer: -840*b + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/6, 1.8088, -0.3 in decreasing order.\nAnswer: 1.8088, 1\/6, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(21)\/((sqrt(6)\/sqrt(2)*6 - sqrt(3)) + sqrt(3) + sqrt(3)) + -5.\nAnswer: -5 - 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:54 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 4, 2, 1\/2, 17.1751?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 = -4*v + 622, 3*n + 143 = v. What are the prime factors of v?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 255 and 481185.\nAnswer: 481185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -221*y**2 + y. Let o be i(1). Let c = o - -238. Calculate the smallest common multiple of c and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*q - 2*q - 3, 5 = 5*m - q. Let a be -3*((-234)\/27)\/m. What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -2656?\nAnswer: -264d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 551.736 tonnes?\nAnswer: 551736000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**2*j*j))\/(j\/j**2))**(-2\/5) assuming j is positive.\nAnswer: j**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 334960631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, -0.4, -0.2, 3.3 in descending order.\nAnswer: 15, 3.3, -0.2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 29*k + 66*k - 528 = 14*k, -42*h - 26 = -4*k + 24 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27896 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 244482 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8, 1, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -41, -4\/7, -29, -3\/5, 0?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -78. Let d = x + -19.99999794. What is d rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-316 + 358 + 419)*(2*z + 3 - 3) + 4*z + 6*z - 12*z)*(4*z**2 + 2*z**2 - 5*z**2) in the form a + r*z**3 + m*z**2 + g*z and give r.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29447935141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*w = 7, 5*l + 3*w - 16 = -w. Suppose -4*s - l*t + 60 = 0, 3*s - 3*t + 9 = 30. Let x(y) = 3*y**2 - 12*y - 10. Is x(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1153 (base 6) in base 8?\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**1)**(-2\/13)*x*((x*x**0)\/x)\/x*x*x*x*x\/(x\/(x\/(x\/x**(-2)))*x))**(11\/6))**8 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103139 by -4.\nAnswer: 103139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*q**4 - 860*q**3 + 200*q**2 = 0. Calculate q.\nAnswer: -10, 0, 5\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-13)\/39)\/((-2)\/6). Put 0.4, -3, s in decreasing order.\nAnswer: s, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.999999875 + 27. Round a to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.85 take away -1?\nAnswer: -229.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34672890 and 3206?\nAnswer: 34672890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14781343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8792719281.\nAnswer: 3, 19, 199, 258389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 553.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 312 - 260. Let g = c - -230. What are the prime factors of g?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5 = 10*g - 25*g, o - 5*g + 2 = -3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1309, -2710, -4127, -5572, -7057?\nAnswer: -8594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-11 - (-6)\/1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8889 greater than 8693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 z when three letters picked without replacement from ootirtiztniornrorttt?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*b - 70*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3186, 2940, 2092, 648, -1386, -4004, -7200?\n\"Answer: h**3 - 307*h**2 + 668*h + 2824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-3))\/((15\/81)\/(-5)). Let f = k - 24. What is the second derivative of 7*m - 14*m**3 + 16*m**f + 9*m wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -860*j**2\/3 + j\/3.\nAnswer: -j*(860*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413207 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1590.354864us to weeks.\nAnswer: 0.000000002629555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156020 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 - 88203*z**2\/5 + 441036*z\/5 - 352832\/5.\nAnswer: -(z - 4)*(z - 1)*(z + 88208)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**3 + 3*u**2 - 3*u - 1. Suppose -2*y + 3*o = 32 - 23, 0 = 3*y + 2*o + 7. Let h(f) = f**3 - f**2 + f. Determine y*h(n) - m(n).\nAnswer: -14*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 161217*t*w**3 - t*w**2 + 522*t - w + 82 wrt w?\nAnswer: 483651*t*w**2 - 2*t*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -4. Let z = 243.9 + -243.9. Which is the second biggest value? (a) 0.2 (b) z (c) -29 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205 + 217. Suppose v*z + 0*z - 264 = 0. Let s = -4 - -8. What is the remainder when z is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 1. Suppose -j*a + 95 = a. Let g = 27 - a. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.3849cm in nanometers?\nAnswer: 4223849000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -183659.1 plus 158.8583?\nAnswer: -183500.2417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66 + -2?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 4054\nAnswer: -14\/2027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Suppose -10*w - 105 = -m*w. Is 294\/w*1\/(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1995 divided by 9563.\nAnswer: -1995\/9563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 28*u - 21 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302 + 0?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18012*n**3 - 44*n**2 + 11*n - 134887199?\nAnswer: -54036*n**2 - 88*n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 101, 199, 297, 395?\n\"Answer: 98*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqzz. What is prob of sequence qz?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, -4, 53, 0, 45\/14, -1\/112, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44596.\nAnswer: 2, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1747734 and 456.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 36554 = 21314. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1006855 and 4\/3555?\nAnswer: 9061695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-60)\/(-8))\/(2\/4). Suppose 12*m + 126 = 306. What is the highest common factor of m and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 9. Let u(x) = -2*x**2 - 10*x - 4. Let l be u(-5). Calculate the remainder when y(l) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 12) to base 10.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/7, -3500, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -22. What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2413\/(-95))\/(76\/(-15) + 5)*2 is divided by 232?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 578816699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(440)*3)\/sqrt(8))\/((sqrt(20)*-1)\/sqrt(4) + (sqrt(5) - sqrt(45))*3).\nAnswer: -6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Differentiate 3*n**k + 1 + n**3 - n**3 - 4 with respect to n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (3 - 2 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.61417249 to four dps.\nAnswer: -0.6142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19*b + 1086. What is the remainder when 326 is divided by t(-50)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76268*i**2*s - 2*i*s + 2*i - 28*s + 33 wrt i?\nAnswer: 152536*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (8 - (-20 - -7))) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 - z**2)*(596 - 223 + 159).\nAnswer: -532*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 9*x + 126 = 0. Let v = -57 - x. Solve -2*y - v = -2*f, -4*y - 10 = f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 - 4*j - 8. Let n be r(6). Let s(y) = 2*y**2 - 82*y + 82. Let a be s(40). Solve -2*x - a*q = -n, 3*x - 4*q + 15 = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10011 + 5220. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 52.36.\nAnswer: -5.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((2 + 0)\/2*-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 32 - j + j**2 - 19 - 15 - 2 + 3*j. Let d = 3 + -1. Let a(i) = -3*i + 1. Let g(u) = 7*u - 2. Let m(o) = d*g(o) + 5*a(o). Give 4*m(n) + r(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 1. Let t(k) = k**2 - 10*k + 8. Let r be t(8). Let m be (30\/(-20))\/((-3)\/r). Calculate n(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*n**5 - 1031787*n**4 - 8879218980*n**3 - 132084590523*n**2 - 113460188616*n - 24818784564 = 0. Calculate n.\nAnswer: -17189, -14, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*n - 607009*n**2 + 8 + 607013*n**2 + 71*n to the form s*n + i + z*n**2 and give s.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2842\/116*(-1 + 5\/35)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 12, -1, -5, -10 in decreasing order.\nAnswer: 12, 3, 2, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -52. Which is the closest to w? (a) 0.01 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6. Put -5, u, 8, -1 in increasing order.\nAnswer: -5, -1, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 5. What is the least common multiple of 4 and (5\/(-15))\/((-2)\/k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l**2. Let a(m) = -281*m + 4. Calculate c(a(z)).\nAnswer: -631688*z**2 + 17984*z - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*x - x = -16, 5*l - 30 = -5*x. Suppose 2*m = -l*f + 8, 4*f - 2*m - 36 = 10. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3816 and 2136.\nAnswer: 339624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c6e2 + 4b?\nAnswer: 8c73d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2441 + 4011?\nAnswer: 12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d. Let n(y) = -4 - y - 9*y**2 - 6*y**3 + 6*y**2 + 10*y**2. Let f(z) = -5*g(z) + n(z). Give f(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 24370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 72*m + 27*m = -858 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581148796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290 + 76 - 98 - 135 - 133 - 3*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccuw when four letters picked without replacement from rlwrucc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 1. Let m(c) be the third derivative of -c**5\/60 - c**4\/24 - c**3\/6 + 537*c**2. Give 4*b(q) - 5*m(q).\nAnswer: 5*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.430083 to 2 decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)*x)**13)**(2\/57)*((x*x*x*x**(-1\/6)*x)\/(x\/(x\/(x\/x**(1\/2)))*x*x))**(1\/8) assuming x is positive.\nAnswer: x**(-11\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 36 + 76 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*p = 11, q = 33*p - 30*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80 + 46 - 39 - 58)*(-1 + 1 - w**4) to a*w + y*w**4 + o + p*w**3 + m*w**2 and give y.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 7 = 4*i - 4*k, i = -3*k + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*c - 86 = 0, -2*a + 6*a + 2*c = 362. Suppose 0*q = 4*q + w - a, -4*q - 5*w + 103 = 0. What is the remainder when q is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 1:53 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 2 - 8)*(2*f**3 + 2*f - 2*f).\nAnswer: -116*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 32 = -i, 0 = 2*i + 40577*z - 40575*z + 68 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/21 or 0.03?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*l - 6032 - 4966 = 0 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 363, 190, -155, -732?\nAnswer: -1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*u - 12. Suppose -4*r + 88 = -u*a, 0*r + 4*r = 3*a + 91. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 56281 - 56281.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(85) - 1*sqrt(85)))\/(sqrt(135)\/sqrt(3)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + n + 237 = 0, 5*i - 312 = -4*n. What is the greatest common factor of i and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 18. Determine q(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.03167843 + 0.2\nAnswer: -2.83167843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9584.761km in micrometers?\nAnswer: 9584761000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 7*b + 2. Let m be k(-2). Solve m = -0*z - z + 2*t + 3, -8 = -4*z + 4*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3cd7 (base 15) to base 9.\nAnswer: -18774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 58 = -5*r, 2*r + k - 12 = 11. Is (424\/r)\/(4\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + -2 + (-1 + sqrt(1573))**2.\nAnswer: -17*sqrt(13) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -61 (b) -0.06 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-42)*(-33)\/(-5) + (-38)\/266?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v + 133 - 77 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 f when four letters picked without replacement from {r: 1, f: 3, x: 2, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 715220*p**3 - 29762*p**2 + 4?\nAnswer: 4291320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -33, -6\/5, 2\/5, 56, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 6. Let z be n(-2). Let u = 17 - z. What is the remainder when 42 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-24) - 2852\/(-34224)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, r: 1, b: 5, d: 1}. What is prob of picking 1 b and 1 d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -0.4, 4\/5, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7599 (base 12) in base 3?\nAnswer: 122202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7. Let u(n) = 3. Let b(s) = -4*l(s) - 9*u(s). Let y(f) = 0*f + 2*f + f**2 - 4 + 0. Suppose 4*d - 3*d = -1. Calculate d*y(p) - 4*b(p).\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 14*n + 7. Let l(c) = 9*c - 6. Let b be l(1). Let i(j) = j. Let x(q) = b*i(q) + k(q). Calculate the smallest common multiple of 12 and x(7).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 + 2*k. Let z(h) = 9911*h. Determine p(z(x)).\nAnswer: -392911684*x**2 + 19822*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 4*l - 6*l - 7 - l**4 - 7 as f*l**2 + q*l + n*l**4 + o*l**3 + s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 + 14 - 4\/(8\/6). Suppose 7*z - 9*z + 10 = v. Suppose 3*l - z*l + 199 = 3*p, 5*p + 4*l - 331 = 0. List the prime factors of p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2032\/5 - 14229\/35. Which is the closest to 1\/37? (a) 2\/5 (b) 5\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2571 divided by 5.\nAnswer: 2571\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4\/3 + 18228928*f**3\/3 - 20768363501824*f**2\/3.\nAnswer: -4*f**2*(f - 2278616)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 232.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 412757855 and 8805?\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.492 - -264.508. Let l = r + -265. Which is the nearest to -3\/5? (a) -0.5 (b) l (c) -5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4425463 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 - 15*p**3 + 18*p**2 + 32*p = 0. What is p?\nAnswer: -16, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1054 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Let p = -0.14 + 0.14. Which is the closest to p? (a) y (b) -1\/2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x - 23*x + 3*x**3 - 551*x**2 + 32*x.\nAnswer: 3*x**3 - 551*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-528)\/216)\/(6\/9)*15.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 1405*d - 7122. Determine z(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r - 20. Let z(s) = -2*s + 3. Suppose 308*j = 302*j - 24. Let q(v) = j*z(v) - f(v). Let o(d) = -8*d + 7. Calculate -6*o(p) + 5*q(p).\nAnswer: 8*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-1)*(-2 - -1). Let m = -724 - -2176\/3. Sort m, 6\/11, -2\/3, x in decreasing order.\nAnswer: m, 6\/11, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 1156*j - 1160*j - 71, -5*j = 2*t + 28 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*h + 2*y + 3*y, -5*h - 3*y + 19 = 0. Let s(k) be the third derivative of 0*k + 1\/30*k**5 - 1\/6*k**3 + 0 - 3*k**2 + 0*k**4. Give s(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -5)*8\/6 + 4. Solve 3*w + 7 = 5*h, y = 2*h - 0*w + w - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 34017.\nAnswer: 5\/34017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -4\/5, 0.4, -0.1, 2\/475?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 0 - (-8 + 8). Let u = -1 - g. Calculate the least common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 + (1 - 12\/(-4)). Let r(y) = -y**2 - 7*y. Give r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -575, -1, -13, -5 in decreasing order.\nAnswer: -1, -5, -13, -575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 3*r**2 - 13*r + 8. Let a be v(-6). Let o = a + 22. Is 2\/425 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 + 170. Let x(m) be the third derivative of 0*m**3 - 1\/90*m**5 + 0 + t*m**4 - 11*m**2 + 0*m. Factor x(z).\nAnswer: -2*z**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-20))\/((-10)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -65*a**3 + a**2 + a. Let w be o(-1). Suppose -22*p = w - 4883. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18472853 is divided by 457.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89.7 + 89.5. What is the third biggest value in 2, g, 2\/3, 7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77056164 divided by -4623.\nAnswer: 16668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 338.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 65*a**2 + 14*a - 2241. Let f(d) = 519*d**2 + 121*d - 17926. Let z(l) = -2*f(l) + 17*s(l). Differentiate z(p) with respect to p.\nAnswer: 134*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11501433 and -1710917.\nAnswer: -13212350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 1, -9\/2, 26.\nAnswer: -9\/2, -0.5, 1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Let j = k + -9. What is the third smallest value in j, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-228)\/(-171) + 5\/3. Solve 3 = 3*a - a - t, z*t = 2*a + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*2*-4*-2)**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 11) in base 15?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b + -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58578, -117108, -175640, -234174, -292710, -351248, -409788?\n\"Answer: -d**2 - 58527*d - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106512325214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**22)**44)**(-2\/57))**(-43) assuming r is positive.\nAnswer: r**(83248\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/(-3 + 1 + 5). Let j be (-195 + -2)\/(1 + 3). Let h = 49 + j. What is the nearest to 0 in h, 0.27, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in seconds?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385672 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*q + 3*q - 5*q)*(-2*q**2 - 2*q + 2*q).\nAnswer: -4*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1246, -1203, -1136, -1051, -954?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, -18, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 31\/147, 0, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*b**2 + 2340*b**2 + 1478*b**2.\nAnswer: 3320*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23*-34\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h. Let f(m) be the first derivative of -m**2 + 6. Determine y(f(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-93)\/31*1\/(51\/(-2)). What is the second biggest value in 1\/3, g, 4.41, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5888)\/3744)\/46*45\/10.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**3 + 3*d**2 - 3. Let q(p) = 2 + p**2 + 0 - 3 + p**3. Let z(o) = -o**3 + o**2 + o + 4. Let n be z(0). Let j be 6\/n + 3\/2. Give j*q(r) - f(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) 0.046 (c) 3 (d) -13 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -36 - -3) + (91 - 95)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 107 + -114 + -24 + 88?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10149869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 1712*q - 366368.\nAnswer: -2*(q - 428)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11500*t**5 + 2*t**2 - 14*t - 11.\nAnswer: 690000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51589 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h*h\/(h**1\/h*h)*h*h)))\/h)**(-26\/5) assuming h is positive.\nAnswer: h**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*k - 227*k + 213*k - 296*k + 1 - 531*k.\nAnswer: -1060*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7843 + 7841 - 31*m**2 - m - 34*m**3 + 2*m - 127*m**2 to t*m**3 + j*m + f + p*m**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31\/5 in 137, -0.5, 2\/17, -22\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(-3) + -2)*12. Suppose 4 = 5*w - h*w - 2*v, 0 = 2*w + 5*v - 8. Calculate the greatest common factor of 36 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -3744 + 3690 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 26*k**2 + 21*k - 20. Let c be m(-10). Suppose -115*q + 110*q + c = 0. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*f**3 + 22*f**3 + 10*f**4)*(3 - 3 + 6) - 3*f + 2*f**2 - 2*f**2 - 2*f**4 as k + x*f**2 + t*f**3 + u*f**4 + y*f and give u.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -301, -399, -497, -595, -693?\n\"Answer: -98*o - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2084352430 by -5.\nAnswer: 416870486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7.993 - 0.6\nAnswer: -8.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -201320 (base 4) to base 2\nAnswer: -100001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/(-2)*3\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 2 - (-5 - -1))\/4. Suppose x = 3*t - 3*n, 2*t + 23 = 5*n + 8. Let y(w) = w**2 - w + 7. Let i be y(0). Solve 3*h + i = -t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 3. Suppose 3*b = 3 - 15. Let r be n(b). Which is bigger: 1\/10 or r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087746594 is divided by 351?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + (sqrt(4200)*1)\/((1*sqrt(36))\/sqrt(6)))*6.\nAnswer: -6 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.42 - -0.3. Let m = 1 - 0.975. Let k = m + l. What is k rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:57 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 1219794 = 1792265. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (30\/35)\/((-18)\/6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/8 - 3017*p**4\/4 + 643763*p**3\/8 + 6103667*p**2\/4 + 7417092*p + 5972400 = 0.\nAnswer: -8, -1, 126, 5925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 24, -5, 4, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8963909 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11800352 by 2950088.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abyaewyxbxaxby. Give prob of picking 1 e, 1 a, and 1 y.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 15*u = -5*u + 126 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1363*a**2 - 1988*a wrt a?\nAnswer: 2726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**3\/3 + 3*b**2 + 5*b - 1. Let w be ((-4)\/3)\/(2 + 48\/(-27)). Give j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*j = 218 + 13. Put j, 2, 52, -4, 5 in increasing order.\nAnswer: -4, 2, j, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21733.\nAnswer: 103, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -212, -2025, -5038, -9251?\n\"Answer: -600*s**2 - 13*s + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 38. Let f(r) = -r - 2. Let c(h) = -5*h - 11. Let z(n) = m*f(n) - 4*c(n). Let i(j) = 3*j. Calculate i(z(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*l**3 + 8*l**3 - 12*l**3)*(-6*l + 4*l + l) as w*l**2 + d*l**3 + v + q*l + x*l**4 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 + 6*o**4 - 2*o**4 + (-156*o**3 + 187*o**3 - 154*o**3)*(0 + 3*o + 0) as v*o**4 + p*o**3 + m*o + r*o**2 + d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 0, -5*m - 1 - 6 = -2*d. Let a = -26 + 11. Let r = d - a. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 88 = 3*t. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*p**2 + 25*p**2 - 4*p**2)*(-2*p**2 + 4*p**2 - 4*p**2) + 9*p**3 + 171 + 20 - 2*p**4 - 10*p**3 to w*p**3 + d + c*p**4 + k*p**2 + m*p and give d.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 3*z**2 - 2*z + 2. Let v be q(-3). Let d(u) = u**3 + 6*u**2 - 2*u - 2. Let r be d(-6). Let a be r\/(-12)*-9*20\/6. Solve -3*b - a = -v*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*m. Let a = 4 + m. Calculate the smallest common multiple of a and 17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1208*l + 317*l + 431*l in the form s + f*l and give f.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/3 (b) 2\/3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 - 8*a - 8. Let n be 30\/4*8\/(-10). Let h be m(n). What is the second derivative of r + 5*r - 3*r - r**4 + 2*r**h wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/((-2)\/1) - 13 - (-1669448)\/143682?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2294986 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*h - 93 = 0, -92*q + 10*q - 3*h = -309 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 - (0 - -7) - -15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4 + 20292*x - 10148*x - 10147*x - 4. Let b(z) = -12*z**2. Let f(i) = -i**2. Let j(y) = 5*b(y) - 70*f(y). What is w(j(r))?\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 316.994 + -317. What is the third biggest value in 0.3, -5\/2, f?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5589 - 184519\/33. Find the common denominator of (-1)\/(-24) + 6\/(-3) and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.9, -393, -3, 2\/31 in ascending order.\nAnswer: -393, -3, 2\/31, 1.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 9*l - 1. Let s(a) = a**3 + 5*a**2 + 2*a - 4. Let r be s(-3). Is t(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110555522 (base 6) to base 13\nAnswer: 5531c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85199 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -147 - -138. Suppose 3*p + 4 + 2 = 0. Let t = p - m. Solve 0 = s - 4, t = 3*f - s + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d (base 14) to base 4.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 424 - 622.2. Let k = -111.1 - d. Round k to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 29. Suppose -5*b = -0*s + q*s - 30, -6 = -5*s + 3*b. Suppose -5*l + 7*z - 2*z = -10, s*z = 4*l - 6. Solve 2*j + 2*i + 4 = l, -2*i = i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 46, 35, 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 20 + 52. Let b = i + 20. Suppose -o + 4*o = 3*r - 30, -3*o = 5*r - 10. Solve -4*m + 16 = -l, b*m + 14 = -r*l - 0*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2187336835*c - 5*c**3 + 2187336835*c.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*q + 3 + 111. Solve 7*j - j = q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -18. Let q(t) = s*t - 3*t + t + t. Let f(d) = -4*d - 7. Let x(h) = 3*h + 6. Let n(i) = 6*f(i) + 7*x(i). Calculate -4*n(a) - 11*q(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34108.0030946 + -34108. What is c rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2814739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6 = -7*u + 4*i - 0 + 16, 3*u + 58*i - 135 - 173 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -24*q - 508200000. Round q to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -5)\/(21\/1799) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 270 and 53.674.\nAnswer: 14491.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -150? (a) -1\/8 (b) -215\/66 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/126*-3*0)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 0*m - m + (-4 + 0 + 5)*(3*m + 0*m - 4*m) + m - 3*m + 11*m + 2.\nAnswer: 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -136835 smaller than -136834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49531345459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-2)*(-10)\/13.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 27. Which is the nearest to -1? (a) -2\/5 (b) p (c) 2\/21 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + ((-56)\/20)\/7. What is the biggest value in -0.1, 0.038, r?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*b + 22 = 6*b, 5*t = 4*b - 25. Let d be (2\/2 - -1) + 0\/t. Suppose 0*i = -d*i + 6*i. Solve i*o + 3*o + 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*-1597537\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 2, w: 2, o: 2}. Give prob of sequence vvoa.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -113 (b) 5 (c) -1\/13 (d) -288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.324 + 49.076. Let u = j - 49.40966. What is u rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by -4.\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*y + 5*r, -2*r = -4*y - 4 + 26. Suppose 5*j - h - 9 = -y*h, 2 = j + h. Which is smaller: j or 2\/79?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*j**2*k - 234*j**2 + 4*j*k wrt k?\nAnswer: -42*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2*((-10)\/(-4))\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6330 rounded to the nearest 100?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*r + 14. Let c be r\/(-10) - 2102\/(-4). Suppose 0*v = 5*v - c. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19082 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/841 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 3*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1600)\/(-24) + 4\/(-6). Let c be (-56)\/(-9) - 2\/9. What is the greatest common factor of g and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:10 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r - 10. What is the units digit of y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 130 = 120 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 6. Let t(m) = -6*m + 34. Let z(h) = 34*l(h) - 6*t(h). Let p(y) = -113*y. Give z(p(k)).\nAnswer: -226*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176583.\nAnswer: 19, 97, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = n. Suppose -2*w + 73 = 4*c - 41, -4*w + n*c = -252. Calculate the remainder when w is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 4*m + 42672 = -0*m. Does 47 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 240*m**2 - 848*m - 2688.\nAnswer: -4*(m - 56)*(m - 6)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -219 times -11250\nAnswer: 2463750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40627 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-12))\/(-3 - 37317\/(-12438)). Let i = 3119 + o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 6*y**2 - 22 - 4*y**2.\nAnswer: 3*y**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4049900 and 83\/1295968?\nAnswer: 32399200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116383 or 115842?\nAnswer: 115842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d + 22*d = -26*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 + -0.3. Let h = l - -1.97. Let q = h + 0. What is the nearest to q in -3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 4*r - 2. Let k be 2 + (-57 - -1)\/14. What is c(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/14 and -17\/383274.\nAnswer: 2682918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45365 times -8.5?\nAnswer: -385602.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - k + 41 = -12, 0 = -5*y - 4*k + 86. Solve 5*d - 20 = -3*q, -y*d - 2 = -20*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrk when three letters picked without replacement from rweekewmmkewmmekme?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, p: 4, n: 9, b: 1}. What is prob of sequence pbn?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3525 - -3530. Sort 8, 0, g, 1.\nAnswer: 0, 1, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, y: 5, j: 1, c: 2}. Give prob of picking 2 y and 1 c.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-14)*-2)\/((-274)\/(-959)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*f**2*n**3 - 2*f**2*n**2*w**2 + 1006*f**2*n + 11*f*n**3*w**2 - 2*f*n**2*w**2 + 2*f*n*w - 89*n**2*w wrt f?\nAnswer: 22*n**3 - 4*n**2*w**2 + 2012*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2261 + 2275. What is the smallest common multiple of n and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 5*d - 2*d)*(1 + 0 + 9) + (4*d + d - 3*d)*(-1 + 1 + 2) as o + r*d and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 16258981?\nAnswer: -1\/16258981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-11)\/11)*10\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/1776*4\/(-4).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(343) + sqrt(343) + 0 + 1 + sqrt(343) + sqrt(343) + 0 + sqrt(343) + -1 - (sqrt(343)*-2*-3 + -1*sqrt(343)*-6 + 4))*-6)**2.\nAnswer: 42336*sqrt(7) + 1816884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 675, 1018, 1369, 1728, 2095?\nAnswer: 2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -25*w + 37. Let d be g(1). Let s = 0 + -1. Let o be (s\/2)\/(4\/(-48)). What is the highest common factor of o and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34253458*f - 13353572?\nAnswer: -34253458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - r - 85, -a = 5*r - 23. Suppose 152 = 14*i - 18*i. Let j = i - -66. What is the highest common factor of j and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/5 + 16*x**2\/5 - 164*x\/5 + 144\/5.\nAnswer: 4*(x - 4)*(x - 1)*(x + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**4 - 2*m**2*w**3 - m*w**2 + 243*w**3 - w with respect to m.\nAnswer: 4*m**3 - 4*m*w**3 - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 1)**2*6 + (-2*sqrt(50) + sqrt(50))\/sqrt(10).\nAnswer: 11*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = 0, -w = 4*c - 149 + 50. What is the first derivative of 22 + c*f**2 - 26 - 4 - 21 wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:52 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520718 is divided by 260325?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 20. Let p(d) = d**2 - 2*d - 32. Let u be p(6). Let f be o(u). Suppose f*h - 415 = -k, -2*h - 3*k + 190 = k. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78420 - -119664. What are the prime factors of y?\nAnswer: 2, 3, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-12))\/((-1)\/6). Suppose h*g = g + 28. Calculate the greatest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 12*h - 15. Let i be m(10). Let s(c) = -3*c**3 + 3 + c**3 + 0 - 6*c + 3*c**3 - 4*c**2. Determine s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*y**3 - 841*y - 77*y + 1 + 630*y in the form c*y**3 + j + x*y**2 + n*y and give n.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30862781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.7 - -4.3. What is the fourth biggest value in -3, 1, -1, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1387*n**5 + 79*n + 7.\nAnswer: 27740*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.3. Let l = -2\/189 + -4\/63. Which is the second smallest value? (a) -0.2 (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99.7 + 100. Let u = -2\/21 + 3\/7. Suppose 19*z + 10 = -9. Which is the second smallest value? (a) o (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4 + 0*l**2 + 4 - l**2. Let y(t) = -2821*t + 2821*t - 14*t**2. Calculate y(m(w)).\nAnswer: -14*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6390241?\nAnswer: 11, 13, 44687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k + 5. Suppose -9 - 7 = 4*o. Let r be s(o). Which is smaller: r or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*p**3 - 12*k**2*p*r**2 - 453*k**2*r**2 - 33*k*p**3*r**2 - 16*k*p*r**2 + k*p wrt k.\nAnswer: 2*p**3 - 24*p*r**2 - 906*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e81a + -e?\nAnswer: 1e80c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.18 to 1 dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565740?\nAnswer: 2, 3, 5, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15840 and 192.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 872*n**2 + 198817*n + 228.\nAnswer: (n + 228)*(872*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {o: 2, w: 5, x: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 3*o - 12. Let y be d(-5). What is the units digit of (-588)\/(-9) + (y\/(-6) - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5356.\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 3\/97, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 280898882 or 280898883?\nAnswer: 280898882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 19 = -7. Solve i = 2*s + 3*s - 3, 0 = -g*s - 2*i + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89320, 89315, 89310, 89305, 89300?\nAnswer: 89295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20453 (base 7) to base 13\nAnswer: -23a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 2*s**6\/15 + 9*s**5\/20 + 9*s**4 + 380*s. Find the third derivative of j(n) wrt n.\nAnswer: 96*n + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63\/28*16\/(-3). Let n be 16\/(-4)*(-15)\/w. Let k(x) = x**2 + 5*x + 3. Let m be k(n). Solve -m*v + 2*v = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3998007287 + -3998007232.89999809. Let v = a + -54.1. What is v rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173*n + 111?\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/12*2*2. Suppose 0 = -5*y - s + 610, s = 4*y + n*s - 489. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 10 = -4*s, -2*i + 6*i = -319607 + 319583 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**5 - n**4 - n**3 + n**2 - n + 1. Let j = -23 - -25. Let m(g) = 3*g**5 + g**4 - 2*g**2 + 2*g - 2. Let q(w) = j*m(w) + 4*i(w). Factor q(a).\nAnswer: 2*a**3*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 12967\/3 (c) -5\/347\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 1909.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1643 and 22413.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0 + 0*g + 1\/12*g**4 + g**2 + 0*g**3. Let h(k) = 2*k - 3*k + 2*k. What is h(p(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66528 = 52*r - 252908. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 250\/75*27\/(-6). Which is smaller: v or 13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 356*a - 908*a**3 + 186*a + 2 - 1161*a**3 + 578*a.\nAnswer: -2069*a**3 + a**2 + 1120*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 - 41*y**2 - 20*y + 87. Let l be v(6). Solve l*g - 21 = -4*m - 2, 1 = m - 3*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*t**2 + 5*f**2 - f*q*t - 7*f + 33*q*t**2 + 3*q*t + 2*t**2 wrt f?\nAnswer: 4*f*t**2 + 10*f - q*t - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -187, -20, 8, 1 in descending order.\nAnswer: 8, 1, -20, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1751.984km?\nAnswer: 1751984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 3:55 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93627 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from eyyycykky.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*k = 42, 3*r + k - 126 = 4*k. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*c**3 - 544*c**3 - 300*c**3 + 4*c + c**3 - 4*c - c - c**3 + c + (0 - 2*c**2 + 0)*(2*c - 2*c + 2*c))*(-c + c - 3*c**2).\nAnswer: 2235*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454 + 723 + 405 = -387*k + 34 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -1, 2\/7, 2, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1554 + 2246 = 0. Suppose -2*n - z = -5*d, 3*d = -n + 229 + 216. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59070491?\nAnswer: 59070491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 3\/7, -3, -0.1, -5, -0.7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/72 - (-8)\/32. Let u = -0.05 - -1.55. Let s = -0.5 + u. Which is the closest to s? (a) -2 (b) w (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52950000 rounded to the nearest one million?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*v + 1 + 1 = 0, -2*v + 2 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmpmpn. What is prob of sequence pnw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 4*j**2 - 2*j - 3. Let v(h) = 4*h - 27. Let r(w) = -2*w - 1. Let m(d) = -r(d) - v(d). Let i be m(16). Calculate a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 34 + 5*d + 34. Let i(q) = -138*q**2. Give m(i(u)).\nAnswer: -276*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - g = 94, 642979*g - 642975*g - 128 = 5*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, o: 4, e: 3, f: 4}. Give prob of picking 1 o and 3 f.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771119 is divided by 435?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.108 - -4.792. Let p = 0.1 + j. Let x = 0.2 + -0.1. Which is the second biggest value? (a) 0.4 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-5))\/((-1)\/(-5)). Let w = -0.349806 + -0.150194. What is the second biggest value in w, -4, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - v = -5577. Does 33 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5 - 6762*d**4 + 40548*d**3 - 81080*d**2 + 54048*d = 0.\nAnswer: 0, 2, 6756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, o: 1, r: 2, v: 2}. What is prob of picking 2 v and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 8*y**2 - 9*y - 12. Let t be f(-6). Let p be 14\/(-21) + (-8)\/t. Sort 5, p, -9 in ascending order.\nAnswer: -9, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(0*f + 4*f - 2*f) - 61 + 160 + 4*f - 76.\nAnswer: 2*f + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 7*b + 192. Let u = b - -104. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*m + 46, -4*m = 5*b - 5*m - 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 6. Let x be b(9). Suppose v - 10 = -x. What is the second derivative of -v*w**4 - 2*w**5 + 7*w**4 + w wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 3*u)*(-3 + 3 - 15*u) - 5*u + 5*u - 4*u**2 - 3*u**2 - 4*u**2 + u**2.\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31428319 - -31428319.95999937. Let o = 0.96 - w. Round o to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 8*l + 2. Let v be h(-8). Let q = v + -1. Let i(y) = 2*y**2 + 2*y - y - 3*y**2. What is i(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1371, -2717, -4061, -5403, -6743, -8081, -9417?\nAnswer: -10751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1304372982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 247 and 0.04.\nAnswer: 247.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696147494 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.0344 (b) 0.2 (c) 15.8 (d) 5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 492 = j - 4*h, -h = -3*j - 298. Let n be 1*(292\/j - -3). What is the second smallest value in -0.3, -3\/7, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -2\/149, 9, 1\/5 in ascending order.\nAnswer: -9, -2, -2\/149, 1\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 11, -0.1, -5, -9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8910 = 600*o - 1174 + 12664 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 420*g - 1032. Calculate c(3).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-32)*(-3431)\/564*1*32\/2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80616.\nAnswer: 2, 3, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.27, 0.4, -0.1 in descending order.\nAnswer: 0.4, 0.2, -0.1, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, f: 2, j: 2}. What is prob of picking 1 t, 1 j, and 1 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 + b. Let x(z) be the first derivative of -2*z**3\/3 - 41*z**2\/2 - 19*z - 12. Let l be x(-20). What is q(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1636 - 799. What is the common denominator of -51\/22 and q\/(-72)*4\/5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006738439 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 8*s**2 + 2*s + 7. Let i be l(-8). Let r = 3 + i. Let w(b) = b**2 + 5*b - 1. Calculate the smallest common multiple of w(r) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6933266 - 4639*y**5 - 6933266 + (0*y**3 + 0*y**3 - y**3)*(0 - y**2 + 0).\nAnswer: -4638*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*w + 34*w - 8*w - 12*w in the form z + r*w and give r.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*l + 3 = 0, -l = -0*p + p - 7. What is the third derivative of -79*t**2 + 104*t**2 - 90*t**p - 183*t**2 - 56*t**4 wrt t?\nAnswer: -3504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2. Let x(q) = 84*q**2 - 32*q + 32. Let o(c) = -13*c**2 + 5*c - 5. Let r(s) = 32*o(s) + 5*x(s). Give p(r(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 8\/5 (c) 6\/13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-7 - (9 + (-16 - -2))) - -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22802?\nAnswer: 2, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-1 - (-6 + 14 + -9) - 9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27351 + -3?\nAnswer: -27354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 0)*(-1 + 4 + 2) - 4 + 3 + 0)*(d - 3*d + 0*d)*(0*d + d - 2*d).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*k**4*z**2 + 144*k**3*z**2 + 5*k**2*z**2 + 244*k**2*z + 5*k wrt k?\nAnswer: -240*k*z**2 + 864*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 99775.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 17)\/2*1. Let c(o) = 2*o - 8. Let j be c(6). Solve -4*v - v + 2*z + a = 0, -2*v + j = -z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*c + 512, -238*c + 240*c = -2*d + 256. Solve d = -10*v + 168 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.6, 5, 1\/43, 4\/3, -15?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 3. Let c = u + -14. Let y = 20.8 + -21. What is the third smallest value in y, 10, c?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p)**(-47))**(-40) assuming p is positive.\nAnswer: p**(-5640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 19 - 27, -7*i + 68487 = 5*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11142 and 195604.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2903600 divided by -14518?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15108.02666 + -0.02666. Let t = a + -15109.3091. Let q = -1.3 - t. What is q rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 91. Suppose 18 = -4*h + t + 73, 5*h - j = -3*t. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h**3 + 28376414*h**2*j - 2*h*j - 1694*h + 28863 wrt h?\nAnswer: -102*h + 56752828*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -111259457206777.\nAnswer: -111259457206778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - -1) + (-61)\/((-610)\/1280)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -250 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x - 223 = -21*x - 146*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6760030779 less than -33.3?\nAnswer: -33.9760030779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.90625671241 + 7499843.09405328759. Let q = f - 7499787. Let p = q + -60. What is p rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 117*x + 109*x + 4)*(3 - 5 + 1).\nAnswer: 8*x - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2109095517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**3 + 3*d**3 + 2*d**3)*(-65*d - 18*d**2 + 65*d).\nAnswer: 36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/12784 and -2\/141.\nAnswer: 38352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29395 less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52586, 51506, 50426?\n\"Answer: -1080*w + 53666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1008) + 2)*2 + (sqrt(1008) + 2 + 5 - sqrt(1008)) + (-3 + (sqrt(1008) - (-2 + sqrt(1008) + 1)))*6)**2.\nAnswer: -48*sqrt(7) + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(192)*-1 + (2*sqrt(132))\/sqrt(11) - (1*sqrt(432) - sqrt(300)*-5)))**2.\nAnswer: 117612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0 (c) -2.8 (d) 2\/13 (e) -3 (f) -132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*(-7)\/(-21)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w - 17 + 17. Let c(b) be the second derivative of 0 + 8*b - 1\/2*b**3 + 0*b**2. Calculate c(v(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2580957519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*s**2 - 153*s?\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.01 - 218.99. Put -3\/2, -0.5, u in descending order.\nAnswer: -0.5, -3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.41 + -21.58. Is y greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 33917 - 8415.9285.\nAnswer: 25501.0715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - u + 8*u)*((-3*u - 3*u + 5*u)*(-2 + 17 - 1) + (-u + 1 - 1)*(0 + 0 - 2)) to the form n*u + d + o*u**2 and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -491 + 649. Let i = 463 - l. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Let f be ((-17)\/(-306))\/(1\/(-4)). What is the biggest value in h, f, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 5*i**2 - 11*i + 8. Suppose 8 = f - 5*f. Let v(p) = -p**3 + 5*p**2 + 12*p - 8. Let o(n) = f*v(n) - 3*u(n). Calculate o(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/11)*c**2)\/((c\/(c**(2\/3)*c))\/c)**(-4\/37)*(c*(c\/c**(7\/3))\/c)\/c**9*(c*c**(-2\/5))\/(c\/(c*c**(2\/3)\/c)) assuming c is positive.\nAnswer: c**(-50902\/6105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 226 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 11. Let f = 25 - 24. Do f and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -z + 47. Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1315253877 to four dps.\nAnswer: 0.1315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14*h + 310530 - 46*h**2 - 310530. Let c(a) = -18*a**2 - a. Let p(d) = 9*d**2. Let m(s) = -3*c(s) - 5*p(s). Determine -14*m(x) - 3*u(x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -2, -8317 in increasing order.\nAnswer: -8317, -2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:18 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21956220 divided by 1430?\nAnswer: -15354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/21 - (-8)\/((231\/44)\/(-7)) - -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:16 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 26. Let k(h) = -5. Suppose g + 7 = -4. Determine g*k(l) + 2*w(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b + 2*o - 34 = 0, 4*o = b + 14. Suppose b = -4*u - 2. Let n be (u\/5)\/((-2)\/30). Solve 3*x - n = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -832 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*b - 7971 + 7947 = 0, 30 = -3*k - 5*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 15 + 1 = 4*u, -b - 20 = -5*u. Determine y, given that 0*y - 1\/5*y**u + 1\/5*y**2 + 0 + 1\/5*y**5 - 1\/5*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z**2 - 767*z - 590. Let r be n(-54). Let v be 8\/10*(-10)\/(-4). Suppose 1 = 3*i - 5. Solve c + i*y = -8, -3*c + r*y + v = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4356345320?\nAnswer: 2, 5, 257, 423769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 3*b. What is k(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + 5. Let g be (-122)\/(-76) + i\/(-32). What is the third smallest value in 5\/4, -1, g?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5111297 < 5111293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -56. Which is greater: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -163, -240, -313, -382, -447, -508?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 2) + 0 + -3. Let o = d + 1. What is the common denominator of -26\/7 and o - -75*(-3)\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnouonv. What is prob of picking 3 n and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 = h, 4*h - 5 = -0*h + 3*t. Solve -h*s + 8 = -0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -204 - -2246\/11. Suppose 2\/11*t + 0 - 2\/11*t**3 - w*t**4 + 2\/11*t**2 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1757 and 3263?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 10:33 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.39 - -3.39. What is the third biggest value in m, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 2*r**7\/315 - 13*r**6\/45 - 316*r**5\/45 + 13*r**4\/9 + 70*r**3 + 2818*r**2. Suppose m(n) = 0. Calculate n.\nAnswer: -9, -1, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28743\/(-1474)*1\/(-39)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39338437657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 - 91721388*t + 183442764 = 0 for t.\nAnswer: 2, 30573794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/18*(-4)\/(-9). Let s = 102624.5 - 102624. Which is the closest to 2\/5? (a) h (b) s (c) 4\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33417 divided by 4258.\nAnswer: 33417\/4258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/20 and -111\/229768?\nAnswer: 1148840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 - -17 - 4\/(-2) and 14\/77 - 654\/(-33)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 182490049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4\/5 - 34*t**3 - 884*t**2\/5 - 1432*t\/5 - 144 = 0.\nAnswer: -2, -1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3299 and 11845?\nAnswer: -39076655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4125 divided by -1375.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/1 + (-6 - -1). Let c(d) = 2*d**2 - 5*d - 5. Let b(h) = h**2 + h**2 - 2*h**2 - h**2. Let t(v) = -3*b(v) - c(v). Calculate t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + 3 - (3 - (-10 - -22))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*x - 24, 2 + 8 = -h + 2*x. Let q be (6 - 0)*(2\/h - 0). Let k(y) = 3*y**3 + 2*y + 2. Let u(s) = 4*s**3 + 3*s + 3. Give q*u(f) + 3*k(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -12. Let v be (1\/4)\/1*8\/6. What is the biggest value in -5, -1\/5, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 3*b + 682. Let o = b + -57. Solve -o*h = -3*n - 8, 0 = h - 3*n - 2*n + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*l - 168*l = -312 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103335 and 38595?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19682642245 and 7.\nAnswer: 19682642252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 + -51. Let r(a) = 17*a - 1. Let w be r(2). Let h = x - w. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 70 = -4*z + 101, -z + 19 = 3*g. Solve 0 = -v - z*v + 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7173.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*h + 27, 5*h + 18 = 2*o + 2*h. What is the units digit of 3*(6702\/18 - (4 - o))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 4*d**2 - 11*d + 8. Calculate m(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 27199978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 2*x + 12, 232*a - 48 = 228*a - 203*x for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6 - 97 - 38)*(-y + 2 - 2*y - 5*y).\nAnswer: 1112*y - 278","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 2696 + 4*w**2 + 2696 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 40. Let f be w(-10). Solve -4 = -4*z - f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. Suppose 0 + 8 = i*g. Suppose a = 4*j + 32, 3*a - 5*j = g*a + 37. What is the remainder when 23 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.092127l in millilitres?\nAnswer: 5092.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23364.27363911 minus 0.3?\nAnswer: 23363.97363911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -456 and -0.6478.\nAnswer: -456.6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 9*p - 6. Let q be x(-10). Suppose -4*s = q*u - 52, 0 = 2*u - u - 3*s + 3. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v - 13 = -79 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*o - 37 = -9, 3*o - 3 = 4*i. Solve -2*v + 4 = -a, 2*v = -i*a - 2 - 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 9*r**2 - 10*r - 3. Let n be s(10). Let w be ((-4)\/n)\/((-1)\/12). Let m = w + 12. Put 4, 2, m in increasing order.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*a**3 + 185 + 4*a**2 + 18*a - 34*a**3 - 183 + 38*a in the form d*a**3 + o*a**2 + s + v*a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 6 - 1 - 10*k)*(0*k**2 - k**3 + 0*k**2) + (16 - 16 - k**2)*(-k**2 + 4*k**2 - 2*k**2) + (-3 + 3 + k**4)*(0 + 6 - 4).\nAnswer: 4*k**4 - 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2043 - 2043. Let k(v) be the second derivative of -1\/3*v**3 - 11*v + 0 + 1\/4*v**4 + m*v**2. What is the second derivative of k(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2\/3 + 320*d\/3 - 314 = 0?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = 37 + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -118*6\/(-4) - (2 + -2). Let f = k - 80. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416 by -4.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3\/3 - 319135*b**2\/3 - 10846255*b\/3 - 92180885\/3 = 0. What is b?\nAnswer: -63793, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.000053. What is z rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 92.5, -0.1, 27, -4\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -2.99. Let t be (-24)\/(-22) - (1 + -1). Let k = 25\/33 - t. Sort k, z, 3\/4 in decreasing order.\nAnswer: 3\/4, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -294*x + 298*x - 12, -2*x = 4*c - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669*m + 14586 = 890*m. What is the remainder when 618 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/10 - 1*(-3 + 2). What is the nearest to -4 in -2, j, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -59752547 + -3?\nAnswer: -5975254a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 + 3 + -5 - -22)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - h + 3*h + 11 = 0, -3*d + 17 = -2*h. Solve -7 = -d*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (8 + -13 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21800509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20375?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 184\/60 + (-6)\/15. Factor -2\/3*a**2 - i*a - 8\/3.\nAnswer: -2*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16\/9 (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 14877 (b) 3\/7 (c) 360\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -132 and 4.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.49757694 to 3 decimal places.\nAnswer: 58.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -501 times -0.1\nAnswer: 50.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -83, -0.5, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -215. Let l = u + 204. Find h such that 15*h**2 + 5*h**4 + h**3 - 16*h**3 + 81*h - l*h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**4*o - 99*n**3*o - 29642*n**3 + 2*n**2*o + 6*n**2 - 4*n*o - 15290*n + 8 wrt n.\nAnswer: 24*n*o - 594*o - 177852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -10, 132, 3 in increasing order.\nAnswer: -10, 3, 14, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = 3*u + u + 3*u. Solve u = 32*p - 14*p - 90 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 759 and 22080.\nAnswer: 242880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 4*i - 6, 119*o + 5*i - 9 = 118*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -33. Find the third derivative of -25*r**2 - r**4 + 16*r**4 - r**y wrt r.\nAnswer: 360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 3*k + 3*k)*(-6 + 6*k + 6) + 2*k - 51*k**2 + 1 + 0*k + 53*k**2 to g*k**2 + m + n*k and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -75, -114, -153, -192, -231?\n\"Answer: -39*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhpuqdqe. What is prob of sequence hhd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsyssszseycyseeeycc. Give prob of picking 1 s and 1 e.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 745 - i**2 + 811*i - 390*i - 421*i to the form y*i**2 + m*i + x and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1784, -18\/7, 2, -3, -2, -2\/3 in decreasing order.\nAnswer: 1784, 2, -2\/3, -2, -18\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4782969*g**4\/8 + 6370731*g**3\/4 + 8468073*g**2\/8 - 2913*g + 2 = 0 for g.\nAnswer: -4\/3, 1\/729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166 and 121678.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.1 - -205.1. Let f = d - 176.3. Round f to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -3*d**2 + 1\/6*d**4 + 0 + 2*d - d**3. What is the lowest common multiple of 18 and x(5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -9\/9251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17562645 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 - 35625*f**3 - 63332160*f**2 + 445072460*f.\nAnswer: -5*f*(f - 7)*(f + 3566)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14\/5*p**2 - 32\/5 - 2\/5*p**5 - 46\/5*p**3 + 18\/5*p**4 + 48\/5*p = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 531.5709 months?\nAnswer: 44.297575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/4)\/(270\/432).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2*f**5\/55 - 68*f**4\/11 + 4624*f**3\/11 - 157216*f**2\/11 + 2672672*f\/11 + 55. Factor g(z).\nAnswer: 2*(z - 34)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*d - 9 = z, -4*d - 10 = 5*z. Solve z*m - 4*m = -4*r - 18, -4*r = 2*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = s, -5*v + s - 5*s = -25. Differentiate 1 - 9*d**4 - v - 2 + 1 wrt d.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -68, 2, -14, -1 in decreasing order.\nAnswer: 4, 2, -1, -7, -14, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 11 + (-8 - -4) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + k + 2. Let a(v) = 11*v**2 - 221*v - 212. Let b(u) = a(u) - 4*r(u). Suppose b(d) = 0. What is d?\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32030836 divided by -8007709\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - 17. Calculate the common denominator of 0 - 2*(-417)\/h and -91\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 84, 200, 362?\n\"Answer: 23*k**2 + k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/32)\/(12\/64). Let m be f - 1 - (16 - 28). Solve 0 = -5*s - 4*d + m + 20, 14 = 3*s + d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/390 and 127\/180.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3165.\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-2) + (-4)\/(-14). Let v = p + -23\/2. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 1. Let h be b(4). What is the remainder when -31*(-5 + 12\/h) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -6 - -1242 - (-2 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*j + 21715, 7*y = 8*y + 3*j - 7250. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.5, 6, -1\/3 in decreasing order.\nAnswer: 6, 0.5, 1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 781907 and 266?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 14*l**2 - 6*l - 3. Let w(d) = d**3 + 5*d**2 + 7*d + 5. Let v be w(-2). Let z be o(v). What is the highest common factor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*h = 1589. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12242 (base 6) to base 5\nAnswer: 24301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/5, -6614, 1\/28, -1?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 83316588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36.34 - -36. Let z be (40\/(-48))\/5 + 84\/72. Sort x, -1, 2\/15, z in increasing order.\nAnswer: -1, x, 2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*o - 18, 2*o - 25 = -2*i - 15. Let u(d) = 17*d - 1. Let r be u(1). Calculate the greatest common divisor of i and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((35 - (-4 + 122)) + (-2 - 0) + 6)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -3*y - 6*b - 97, -y = 3*b + 47. Let i = 38 + y. What is the highest common divisor of 15 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(320))\/sqrt(8) + sqrt(40))*5)\/(6*sqrt(288)*-4))**2.\nAnswer: 125\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -159, -2129, -5449, -10119, -16139, -23509?\n\"Answer: -675*c**2 + 55*c + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 721, 107, -6\/53?\nAnswer: 721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 2*a + 5, 2*a + 4 = 0. Suppose 70 = b + 4*s - 154, 0 = 2*b + f*s - 458. Let y = 13480 - 13451. What is the highest common factor of b and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 19\/5, -3, -2\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1343\/12 + -112. Suppose -3*j = -f - 0*j + 12, j = 2*f - 49. Let z be f\/21 + (-6)\/21. Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1367 = -2*h, 4 = -2*h - 2*h. Let f = 786 - s. Let p = f - 94. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1.3.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((288\/(-324))\/(-8))\/((-385)\/(-231))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38516 * -0.17\nAnswer: -6547.72","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 13*p + p**2 - 30*p - 8*p**3 + 0*p**2 + 20 + 19*p as g + z*p + y*p**3 + r*p**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 270669 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -61. Suppose -5*j - l = -105. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/15 - 724*h\/15 + 718\/5.\nAnswer: 2*(h - 359)*(h - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 18*n - 59. Calculate h(6).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 36*h**3 + 5*h**2 - 6*h - 2. What is the units digit of w(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**3 - 9*j**2 + 1. Let u(v) = -5*v**3 + 4*v**2. Give -4*a(i) - 9*u(i).\nAnswer: 5*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178086 - 0.2.\nAnswer: -178086.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, s: 6}. What is prob of picking 3 s?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 7. Let i be o(0). Let b = i - -1. Let r(u) = -u**2 - 7*u - 4. Let q be r(b). Solve 0 = 3*p - p + q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199004*c + 197481*c + 25891 = 0 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 248*k**3 + 1337*k**2\/2 + 2*k - 248. What is the derivative of w(o) wrt o?\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o + 159. Suppose 133 - 325 = 8*v. Let r = v + o. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 245632566392 and -18?\nAnswer: 245632566410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 25*n - 536. Let t(i) = 264*i - 5358. Determine -21*a(s) + 2*t(s).\nAnswer: 3*s + 540","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3102347, -1\/6, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((-2 - 101) + (-162 - -187))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 14*x**2 - 11*x + 30. Let b be o(-13). Let d(l) be the second derivative of 2*l**2 - l**3 + 0 + 1\/6*l**b - l. Let d(f) = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5 - 2. List the prime factors of (30\/u)\/(1*2\/(-12)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -18. Suppose 83 = 4*x - t. Calculate the least common multiple of 2 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 105 + 1031 = 0. Calculate the smallest common multiple of k and 38.\nAnswer: 2698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -66*z. Let o(g) = 14836*g. Calculate h(o(b)).\nAnswer: -979176*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let v = -871\/9 + 97. Factor 2\/9*d**2 + 0 + z*d + v*d**3.\nAnswer: 2*d**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a year?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2610 - 1 - 2) + -1. Suppose -u = -2*d - 3*d + 4*l, -4*l + 2092 = 4*d. What is the lowest common multiple of (-2)\/(-8) - d\/(-24) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1, -5, -3 in decreasing order.\nAnswer: 1, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 0*m + 2*m + 10 - 10. Let r = -3 - -2. Let o be ((-12)\/21)\/((-27)\/21 - -1). Let g(f) = f**2 + f. Give o*g(i) + r*s(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*l - 22 - 7 = 0, 20 = 5*g - 2*l. Let h = -258 - -295. Let y = h - 42. Put y, 3, 1, g in decreasing order.\nAnswer: 3, g, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7 (base 16) to base 12.\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 0.1, -0.2, -6, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (-13 + 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 918, 1771, 2624, 3477?\n\"Answer: 853*n + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 2328?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Suppose -5*b - f + 19 = -s*b, -46 = -3*b - 5*f. What is the least common multiple of 8 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 35053830.\nAnswer: 35053830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1242 divided by -621.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -3*v + 6*v - 5*y, 4*y = -8. Suppose 6*h - 190 = -v. Suppose -5*n + 38 + 32 = 0. What is the lowest common multiple of h and n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 384, 1584, 3576, 6354, 9912, 14244, 19344, 25206?\n\"Answer: -k**3 + 402*k**2 + k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 649 + -1948\/3. Let g = 0.07 + -3.07. Put g, -2, 4\/5, n in decreasing order.\nAnswer: 4\/5, n, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30043?\nAnswer: 13, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - 9 - (52 + -51)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9966*k + 18*k**2 + 9966*k)*(-21*k**3 + 28 - 28).\nAnswer: -378*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3830464 and 56064.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.4, 2, 38, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*f - 26, f - 19 = -1460*o + 1465*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (13 + 8) - -1) + 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 6, g = 3*h - 0*h + 98608. Let u = g - 286646\/3. Let d = 3025 - u. Find the common denominator of d and 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -203*x**6\/360 - 17*x**5\/120 + x**4 - 32*x**2. Let k(l) be the second derivative of z(l). Is k(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232 and 47904.\nAnswer: 1389216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 5562406\nAnswer: 5562406.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Suppose -y + w = -4. Suppose -2*f + y*t - 35 = 3*f, 0 = -3*f - 4*t + 11. Is f at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1530 and 74630.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 350.9 * -0.361\nAnswer: -126.6749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 11320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 1\/109, 2?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1000221121?\nAnswer: 1000221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**4 + 812*t**3 - 4196*t**2 + 6784*t - 3408 = 0. Calculate t.\nAnswer: -213\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1674*u**3 + 13*u**2 - u - 12. What is the ten thousands digit of o(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*z + 5*b - 2*b, b = 2. Let c(j) = j**3 + 10*j**2 + 9*j + 10. What is the units digit of c(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**4 + 1112285*x**2 - 268*x - 10745 wrt x?\nAnswer: 36*x**2 + 2224570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(18)*-2 - sqrt(18)\/(sqrt(27)\/sqrt(3)) - 6*sqrt(22)\/sqrt(176))**2*-4.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 21. Let i(q) = 3*q - 21. Determine 8*i(f) + 7*v(f).\nAnswer: 10*f - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j + 156. Let a be o(-19). Solve -4*u - 12 = a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + k = 0, 3*l - 5*k = -0*l - 8. Suppose l*j = -3*r - 12, 9 = -r - 2*r - 3*j. Solve r*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1100, -1915, -2730, -3545, -4360?\n\"Answer: -815*h - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -797, -800, -803, -806, -809, -812?\n\"Answer: -3*r - 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 100020 - 2399980 = 0. Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -377 + 721. Calculate the smallest common multiple of d and 4.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 1. Let v(j) = -j**2 + 6*j + 10. Let t(u) = -v(u) - 3*y(u). Let s be t(5). Find the second derivative of -4*m**3 - 2*m**4 + 4*m**s + m wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 6, 29*s = 4*n + 28*s - 30 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 - 4*j**2 + 2*j**2)*(-4 + 1 + 2) - 6*j**2 + 5*j**2 + 0*j**2 + (5*j + 0*j - 3*j)*(-2 + 5*j + 2) to o*j + p + f*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.7 (c) 0.3 (d) -34.7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05821 * 1\nAnswer: -0.05821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 - 4*d**2 + 57*d + 176. What is s(-3)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -650*k. Let n(m) = 19*m**2. Give d(n(h)).\nAnswer: -12350*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**5\/5 + 268*i**4\/3 - 1078*i**3\/3 + 540*i**2 - 3*i - 78. Factor p(n).\nAnswer: 4*(n - 1)**2*(n + 270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 9, -26, -81, -150?\n\"Answer: c**3 - 19*c**2 + 41*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -226426 - -340539. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + y + 4 - 2 + 2. Let b be (0 + -1)*3*-1. Give o(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 28*n - 18*n - 11*n - 4. Determine r(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 34936 + 7*q**2 + 34904 - 69840.\nAnswer: 7*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*u + 8 = 2, -2*x + 12 = -2*u. Let i(v) = -v**2 - 6*v - 2. Let o be i(-5). What is the derivative of 0 + f**o + 4*f**x + 3 wrt f?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*3\/(-48)*(-61)\/(7869\/(-215))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**10*(o**(-1\/6)\/o)\/o)**(-2\/19))**(-3) assuming o is positive.\nAnswer: o**(-67\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62588969.\nAnswer: 31, 65129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:18 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, d: 3, l: 2}. What is prob of sequence ll?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218915 is divided by 485?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o. Let i be c(-1). Let q be -3 + 0 + 8 - 4. Let a be 59 - q*(7 - 3). What is the highest common divisor of a and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/21972 and -85\/926486.\nAnswer: 5558916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 19. Suppose -49*c - 602 = -6*c. Determine g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -9 - -5 - 12*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 - (-4 - (-2 - 1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 124 = l, -5*l = 3*u - 38 - 32. Suppose 9*j - u = 7*j. Solve 1 + j = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 2*d**6\/15 + d**4\/24 + 2*d**3\/3 + 15*d**2. Is k(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371305395 to the nearest integer?\nAnswer: 19269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/630)\/(((-1)\/4)\/(-1))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - c + 1. Let n(w) = -6*w**2 - 13*w + 6. Let l(a) = -n(a) + 5*v(a). What is the least common multiple of l(3) and 22?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 0.04025278879?\nAnswer: 0.14025278879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*(-1 + 3). Let w(g) = -g**2 - 3*g + 1. Give w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*q + 0 + 2*q + 14*q + 34*q - 2*q + 5*q - 4*q - 3*q + (-q + 3*q + 0*q)*(-1 + 1 + 1) - q - 3 + 3.\nAnswer: 44*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2\/(-1)) + 0. Suppose -l*n = 3*n - 30. Let u be (-4)\/2 - (0 - n). Solve x + 9 = u*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*p - 569 + 431. Solve -15 = -a - 5*c + p, -20 = -4*a - 4*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0.4 (b) -0.4 (c) -1\/3 (d) -2\/7 (e) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 10*a**3 - 14*a**3 + 31*a**2 + 174*a**2 + 0*a.\nAnswer: -4*a**3 + 205*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 0.081773.\nAnswer: -7.918227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10299 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1535 - -7676\/5. Let a(b) be the second derivative of 0 + 8*b + 7\/60*b**4 + 1\/50*b**5 + 7\/30*b**3 + j*b**2. Find z, given that a(z) = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y - 1. Let b be z(3). Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32\/1993427 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -326872*m**3 + 1667*m - 67.\nAnswer: -1961232*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 292\/5. What is the nearest to 0.4 in 2, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -206723, -826338, -1859029, -3304796, -5163639, -7435558, -10120553?\n\"Answer: -206538*l**2 - l - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 335685 and 777?\nAnswer: 12420345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -18504793520?\nAnswer: -18504793513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889533 is divided by 221960?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1332 - -1328. Let j(m) = -m. Let n(u) = -7*u**2 + 0 + u**3 - 10*u - 1 + 2*u + 0. Let g be n(8). Let i(v) = 3*v - 1. Give g*i(k) + h*j(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 674 = -27320*q + 27306*q, q + 49 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/988 and -31\/456?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.1. Let k = -749.6 + 750. What is the fourth biggest value in 0.1, m, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 2*y**2 - 116*y - 132. Let i be p(29). Solve -5*h + 27 = -2*t, -t - t - 2 = i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1198*g**4 + 2393*g**4 - 1127*g**4 + (g**4 - 2*g**4 + 0*g**4)*(1 + 2 - 2).\nAnswer: 67*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/3308 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 1.6, -18 in decreasing order.\nAnswer: 1.6, -0.05, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - z. Let i be h(0). Let s(w) = -2*w + w + 0*w + 12. Calculate s(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 22*o**2 + 10*o**2 + 1.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-24)\/252*1\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - 9 - (-30 + 32)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 2\/((-14)\/5). Let q = 4 + -3. Let b = q + -0.9. What is the smallest value in b, 2, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-271 - (-1 - -3))*-1. What is the highest common factor of c and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4979328 and 3903067.\nAnswer: 12967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-one quarters of a kilometer?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 472*d**2 + 975?\nAnswer: 944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**5 + i**4 - 2*i**2. Let g(n) = 4*n**6 - 4*n**5 - 2*n**4 + 171*n**2. Let z(a) = -g(a) + 4*l(a). Find the third derivative of z(q) wrt q.\nAnswer: -480*q**3 + 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 19*t**2 - 43*t - 10. Let r be a(-21). Let h = 333 + -124. What is the greatest common divisor of r and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 + 13*x**3\/3 + 6*x**2 + 9*x - 1562. What is j(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*12\/21*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from xqqqxq.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 108723635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -620481338518 - -1.14.\nAnswer: -620481338516.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169826, 167794, 165764, 163736, 161710, 159686, 157664?\nAnswer: 155644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20267679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4217.291 litres?\nAnswer: 4217291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 166*t - 5. Let l(z) = -2*z - 20. Let n be l(-11). Is 15 a factor of k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*((t*t*(t*t*t*t\/(t\/(t\/t**12)))\/t)\/t)\/t)*t**14)\/(t**(-3)\/t)**(-41) assuming t is positive.\nAnswer: t**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*r + 20. Suppose 0 = 2*p + r + 8. What are the prime factors of (-1 + -2)\/(12\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 8*w - 8. Let x be l(6). Suppose 3*z - 3 = 6*z - 4*t, -z - t = -6. Find the second derivative of -z*j + x*j**2 - 5*j**2 - 3*j + 6*j**2 wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-6)\/(-18)*-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -273, -622, -1121, -1776, -2593, -3578, -4737?\nAnswer: -6076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2. Let b(l) be the first derivative of -8*l**2 - 85. Calculate v(b(g)).\nAnswer: -768*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140306 + 0?\nAnswer: -140306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 253 = 201. Let p(k) be the second derivative of -5*k**3\/3 - 23*k**2\/2 + 2*k. Is 10 a factor of p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/40)\/(4\/(-20)). Let q = 1.2 + -0.2. Which is the closest to q? (a) -1\/3 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5*p + 0 - p.\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -258*b - 1 - 260*b + 8 + 524*b as g*b + z and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/((-525)\/(-160)))\/(4*3\/(-6))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.25 less than or equal to 2264717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imkiivkmddvmi. Give prob of sequence mkii.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1505, 6023, 13553, 24095, 37649?\nAnswer: 54215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2\/5, -826, 1 in ascending order.\nAnswer: -826, -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(12240\/(-160)))\/(13\/(-1)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - ((-2)\/(-2))\/1. Suppose -n*f = -3*f + 3. Let c(p) = p**3 + 5*p**2 - p - 5. Let o be c(-5). Solve -f = t - o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(sqrt(77) - -1*sqrt(77)))\/((sqrt(110)\/sqrt(80) - sqrt(22))\/sqrt(2)).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001639018317 to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*780\/(-72) + (12 - (6 - 5)*2)\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972 divided by 493?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4d11b (base 14) to base 8\nAnswer: 562165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 1. Let a = o + -0.41. Let v = a + -0.39. What is the closest to -2\/7 in 2\/7, v, 4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-7) + 1*33\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199949, 399681, 599413, 799145?\nAnswer: 998877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-753790065.2\nAnswer: -753790065.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20616.000011014 - -20616. Round g to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-99)\/11*2\/(-6). Let n = 11 + -3. Solve -w*y + 15 = -n*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**7\/168 + q**5\/80 - 3*q + 2. Let f(x) be the first derivative of i(x). Factor f(l).\nAnswer: -l**3*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2215514 (base 9) to base 11\nAnswer: -7442a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242.3901kg to micrograms.\nAnswer: 242390100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 14*c**2 - 17*c - 13. Calculate the remainder when 30 is divided by d(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*k**2 + 2)*((1 + 3 + 0)*(0 + 1 + 1) + 3 - 3 - 2)*(1877 - 362 + 156) to the form n*k**2 + l + a*k and give n.\nAnswer: -20052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(450) - sqrt(50).\nAnswer: 4 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 0*f + 0*f)*(-3 - 2 + 4) + 0*f + f + f + 0 + f + 0 + (2*f - 2 + 2)*(3 - 3 + 2) + 4*f + 3*f + 29*f to the form o*f + c and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4 = -2*o + 11, -3*o + 2 = -x. What is the biggest value in x, -8, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + h. Suppose 5*r - 18 = -3*w, w + 2*r - 10 = -3*w. Let g be l(w). Solve g = -0*i + 2*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27930?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and 1375236 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msms when four letters picked without replacement from {s: 4, m: 3, l: 11}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 811*z**2 + 32 + 971*z**2 - 31 - 10*z + 10*z.\nAnswer: 1782*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669 = 9*z + 2*f, 4*z + 7129*f + 306 = 7131*f for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 198841 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 + 3*p**2 - p + 2*p + 15. Let h be n(5). Let s be 96720016\/(-24) + h\/((-15)\/2). Round s to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6504330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g - 12. Let h(x) = 5*x + 18. Let i(d) = 6*d + 19. Let c(u) = 7*h(u) - 6*i(u). List the prime factors of c(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 60. Sort -2, 3, d, -4.\nAnswer: -4, -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -104177?\nAnswer: -104171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = 25*s - 27144. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200*v**5 + 4*v - 4*v - 96*v**2 + 488*v**2 wrt v.\nAnswer: 12000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfeyyyfyq. Give prob of sequence yeqy.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3*(-10)\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -279, -625, -1109, -1731, -2491, -3389?\nAnswer: -4425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 13. Let r be i(6). Suppose 3*u - 1 = 5. Let c(n) = 37*n**2 + n. Let q be c(u). What is the greatest common factor of q and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 22 + 24 - 2*g**4 + 3*g**4 + g**2 - 17 in the form b*g**3 + r*g + k*g**4 + d*g**2 + l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64045 is divided by 900.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 39627 = -201*x + 40833 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*w**2 - 8*w**2 + 8*w**2 + (3 - 4 + 0)*(-1 + 1 + w**2) to the form f*w + q + g*w**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -355*s**3 - 84*s**2 - 65*s + 20. Calculate r(-1).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18225394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -7*g**3\/6 + 3*g**2\/2 - g - 189. Let x(z) = -20*z + 8. What is -11*k(l) + 4*x(l)?\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**6\/120 - r**5\/20 + r**4\/24 + r**3\/2 + 26*r**2. Factor p(a).\nAnswer: -(a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*m + 100 = 0, 42 = 5*d - 2*m - 434. Suppose -7*k = -5*k - d. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 30. What is i(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/20)\/((-6)\/(406*12)). Calculate the greatest common factor of 377 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*s = -996, 0 = 2*l - 0*l + 3*s - 503. Suppose -2*h = u - 505, -l = 3*h - 4*h - u. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0*i**3 - 5*i + 0 - 1\/12*i**4 + 3\/2*i**2. Let d be v(0). Solve -d*p + 10 + 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25326 and 258486?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 7*g**5\/15 - g**4\/24 - g**3\/6 - 3*g**2\/2 - g. Let r(c) be the first derivative of a(c). Does 14 divide r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1214 or 1219?\nAnswer: 1219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -31 + (0 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-1\/2)*f**(-2\/7)*(f**(-1\/2)*f)**(2\/63) assuming f is positive.\nAnswer: f**(155\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-687 - -692) + -1 + 8\/1. Suppose -5*p = -33 - 32. Let s = p - n. Which is the nearest to 0? (a) s (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 51 = t. Let r = t + 2. Calculate the remainder when 95 is divided by (-354)\/r - 2\/(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3 - 282604*a**2 - 1625184*a.\nAnswer: 6*a - 565208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/41)*h**(-3\/7))\/(h*h**(3\/8)*h*h**1\/h) assuming h is positive.\nAnswer: h**(-4253\/2296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*b**3 + 0*b + 0*b - 250*b**3.\nAnswer: -412*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -7*m**4\/12 + 2*m - 523. Suppose 3*k + 5*h + 1 = 0, k - 2*h = 4*k - 5. Let i(r) = 0*r - k*r - r. What is w(i(j))?\nAnswer: -112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.7491015804 from 0.04.\nAnswer: 1.7891015804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48558 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008704826278 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29719\/1266 - 65\/211. What is the common denominator of -63\/16 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(3*j - 1 + 5 - j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1627289*f*v**2 + 11509*f*v - f + v + 23 wrt v.\nAnswer: -3254578*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62482 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -271 (base 15) to base 8\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10632 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16724, 33426, 50112, 66776, 83412, 100014, 116576, 133092?\nAnswer: 149556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -278*a**4 - 542*a**2 + 86154?\nAnswer: -1112*a**3 - 1084*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0*b**3 + 4\/945*b**7 + 1\/108*b**6 + 0 + 1\/1512*b**8 + 0*b**4 + b**2 + 1\/135*b**5 + 0*b. Solve d(a) = 0 for a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1\/2 (c) 3 (d) -4\/11 (e) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3324 + -71.2524. Let v = 71 + n. Which is the third biggest value? (a) -2 (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {w: 11, f: 3}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3324 (base 9) to base 2\nAnswer: -100110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - -11 - 15 - (7 + 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gcgmgoggg?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2 + 49*k. Let p(x) = 11*x**2 - 73*x. What is -5*p(q) - 7*v(q)?\nAnswer: -6*q**2 + 22*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106779.\nAnswer: 3, 35593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -102*h + 2. Let m be f(-1). What is the greatest common divisor of 26 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78681381700 rounded to the nearest one million?\nAnswer: 78681000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) - 399\/2223.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-25)*b*b\/b**20*b*b)**(-18) assuming b is positive.\nAnswer: b**738","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l - 6. Let s(g) = g - 8 + 10 - 1. Let d(u) = -j(u) - 6*s(u). Let a(t) = 12*t**2. Give a(d(k)).\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-2 - -2))\/((-385)\/(-154)). Put o, 1249, 2\/15 in descending order.\nAnswer: 1249, 2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f - 3534 = 5901. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90025.2 millennia in years?\nAnswer: 90025200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/3 + -13\/5. Let x = 3\/5 + u. Which is the nearest to 0.08? (a) -4\/5 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 5 + -4 + 6. Suppose p - n = -x, 3*p - x = -2*x + 10. Factor 10\/7*d + 2\/7 + 8\/7*d**p.\nAnswer: 2*(d + 1)*(4*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/305121 and 49\/16059?\nAnswer: 305121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*b - 17, -b = -3*m + 2*b + 3. Let s = 18 + m. Calculate the greatest common factor of s and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -131939, -131928, -131905, -131864, -131799, -131704?\n\"Answer: y**3 + 4*y - 131944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -2\/41 (b) 2\/1447 (c) 3\/2 (d) 2\/3 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1265440624.5 to the nearest ten thousand.\nAnswer: 1265440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 4*u**2 - u + 5. Suppose 0 = 5*z + 86 + 79. Let q = 364 + -326. Let t = q + z. What is m(t)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*w + 19. Let t(h) = -h**2 - 8*h - 6. Let a be t(-6). Let l = w + a. Solve 5*z + 6*s = l*s + 26, z + s - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/21 - (18092\/(-280) + (-8)\/80). Let t = 40 + 51. Calculate the highest common divisor of x and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25687 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-28)*d*d**7\/d assuming d is positive.\nAnswer: d**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136816919000 - -1.\nAnswer: 136816919001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b (base 13) to base 4.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 40*v - 29. Let y(d) = 20*d - 14. Let p = 117 + -78. Suppose 2*f = p - 13. Let g(w) = f*y(w) - 6*a(w). Find the first derivative of g(n) wrt n.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -39*d**3 + 42*d**2 - 3*d - 12. Let n(j) = j**3 - j**2 - j - 1. Let l(p) = f(p) - 6*n(p). Let l(m) = 0. What is m?\nAnswer: -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**2 + 6*v**3)*(6*v - 6 + 6) - 2 + 2 - 2*v**4 + (3*v**2 + 2*v**3 - 3*v**2)*(2*v - 4 + 4) + 14 + 2*v**4 - 14.\nAnswer: 40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(130) - sqrt(130)*-1 - sqrt(130)))\/(-3*sqrt(80)))\/((sqrt(1944)*1)\/(sqrt(12) - (sqrt(12) - (sqrt(108) + sqrt(108)*1 + sqrt(108))\/sqrt(9))))*1.\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 1628.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94690\/3 - -31564. What is c in -2\/3 - d*c**2 - 4\/3*c = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3490, -6943, -10300, -13513, -16534, -19315?\n\"Answer: 8*n**3 - 3509*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -45 + 15 + 6 + 8*w + 0*w + 16. Let d(r) = r - 1. Give -14*d(z) + 2*p(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/4*(3 + 3). Suppose -3 = b + 5*h - k, -4*h = -5*b - 10. Let g(u) = u**3 - 3*u**2 - 3*u + 2. What is the remainder when g(4) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6*k - 196. Let c = k + -125. Let n = 378\/5 + c. What is the closest to 0 in 0, n, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43873.0006 - -43840. Let y = -28.8 + -4.2. Let k = l - y. Round k to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kviixkkvvv. Give prob of picking 1 x and 2 i.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + -1 + -5*(sqrt(700) - (sqrt(700) + 1 - sqrt(700)))) + -4)**2.\nAnswer: -24500*sqrt(7) + 439901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, and 2 n when four letters picked without replacement from mjjjmmjrqjmmmlrjjjjn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6 = 14. Suppose -22 - 38 = -t*v. Calculate the highest common factor of v and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 - 1630660*o = 0. Calculate o.\nAnswer: 0, 407665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1. Let w(k) = -k + 2. Let r(x) = -6*s(x) + w(x). Determine r(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:33 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1697, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -0*z + x - 19, -4*z + 3*x = -34 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -15. Suppose -5*i - 23 = l. Let t(n) = -5*n - 27. Let u be t(i). Solve u*g + 0 + 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 1. Let s(u) = -30*u + 624. Let b be s(21). Let h(d) = -4*d - 25. Determine b*x(o) + h(o).\nAnswer: 2*o - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Find the first derivative of 0*a**4 - i*a**4 + 0*a**4 - 3 + 0*a**4 wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (102\/918)\/(1\/(-6))*-26649.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-2)*(575\/46)\/(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42429?\nAnswer: 3, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127995 and 32655?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*n + 17, y = -6*n + 3*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r + 18*r - 63155*r**3 + 63158*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t + 16*t**2 + 0 - 4\/3*t**3.\nAnswer: -4*t**2*(t - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-18 + 9 + -42)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a*(a*a**(2\/7))\/a*a)\/a)\/a)\/a)\/a*a*a\/(a*((a\/(a\/a**(-1\/7)))\/a)\/a)*a)**17 assuming a is positive.\nAnswer: a**(408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303648257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9463.716kg to milligrams.\nAnswer: 9463716000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -0*v - 5*v + 2*b, 5*b = v + 20. Let x = 287 + v. Which is smaller: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312006357 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (145\/60 - 2) + 0. Let p(n) be the second derivative of -b*n**4 + 0*n**2 - 1\/6*n**3 - 5*n + 0. Give p(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61766*d - 61892*d + 1868 + 526 = 0 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.283 - -42.283. What is the closest to 2\/7 in 0, 2\/93, s, -4?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/296)\/((-64)\/512*-4)*4\/3.\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*h - 387*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -4) + -3 - 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:12 AM?\nAnswer: 417","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000510274314 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(192)*2 + (1 + sqrt(192))*2 + 4 + sqrt(192)*-1 + -5)*-4 + 2)**2.\nAnswer: 384*sqrt(3) + 27652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 - 176. Let g(j) = 6*j**3 + 3*j. Let q(z) = -z**3 - z**2 - z - 1. Let v(c) = -c**2 - 1. Let o(l) = q(l) - v(l). What is t*g(r) - 3*o(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/5, 2, -2, 8052?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 469.676 to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(-2*d - 2*d + 2*d) + 180*d - 466*d - 507*d)*(-2*d - d**2 + 2*d)*(0*d - 3*d - 2*d).\nAnswer: -3955*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1134)\/252)\/((-63)\/(-12)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o**(-14)*(((o**1*o)\/o)\/o)**(3\/16))**(-2\/9) assuming o is positive.\nAnswer: o**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 8247116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = 2*f, 5*x - 4*f - 13 = -2*f. Which is the fourth smallest value? (a) 3\/7 (b) 0.1 (c) 10 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * -9280.\nAnswer: -1484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58 or -83697\/1460?\nAnswer: -83697\/1460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12609, 25380, 38163, 50964, 63789, 76644, 89535, 102468?\nAnswer: 115449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -779 (b) 51677 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.018 (b) -3 (c) 337 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2572 - -2577. Solve -3*q - 20 = q, 3*q + 10 = -l*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15637841 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 5*k - 0*k + 4*f, -f = -4*k + 176. Let l = k + 56. Calculate the highest common divisor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -22. Let l(q) = q**2 + 9*q + 6. Let s be l(y). Let w(u) = -u**2 - 7*u + 2. Determine w(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -15*s + 901. Determine m(35).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/3 + 3*c + 22. Let f(s) = 4*s**2. What is q(f(p))?\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 59.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16799988 is divided by 38009?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74135.\nAnswer: 5, 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 44 = 3*l, 13*l - 12*l + 16 = 2*s. Let k(n) = -14*n - 185. Calculate the remainder when 98 is divided by k(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1940, 3904, 5872, 7844, 9820?\n\"Answer: 2*f**2 + 1958*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 151*c**7\/210 - 49*c**5\/60 + c**4\/12 - 44*c**2. Find the third derivative of z(o) wrt o.\nAnswer: 3624*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 129?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - -7. Let w = -67 + b. Let u = 84 - w. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-20)\/(-2)))\/((-3)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9704.032 days?\nAnswer: 838428364.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1, -1\/21, 0.2, 154\/9, 4 in decreasing order.\nAnswer: 154\/9, 4, 0.2, -1\/21, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509098099.\nAnswer: 17, 29946947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3*k - 3)*(-3 + 1 - 3)*(0*k - k + 3*k)*(4 + 37 + 37) in the form y + o*k**2 + j*k and give o.\nAnswer: -2340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*w**2 + 9692*w + 1408016.\nAnswer: -40*w + 9692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6537 - -6544. Suppose 4*z = -y - 6, 0*y - 2*y + 24 = -4*z. Let s = y + -4. What is the highest common divisor of s and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*i + 191*i + 1592 - 385*i.\nAnswer: 2*i + 1592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19) + 4)**2 + 2.\nAnswer: -16*sqrt(19) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 197820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/583 and 1003.7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -307 + 303. What are the prime factors of 562 + -1 + q\/(-32)*16?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(26\/26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201 + 11?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 426.000249 + -426. Round f to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 233163559 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -7.42?\nAnswer: -0.4452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4 - 22 = -2*z, 3*z - 9*w = 3*z + 36 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1622584315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(84*y + 6636 - 6636) to u*y + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 5. Let u be y(6). Is (u - (-10973)\/3)\/(16\/24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-705)\/(-9400))\/((-12)\/10)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 353*i + 710.\nAnswer: -(i - 2)*(i + 355)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**8\/42 - 13*q**5\/60 + q**4\/24 - q**2 - 14*q. Find the third derivative of c(d) wrt d.\nAnswer: 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3 - 5 = 0. Does y = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4024338 is divided by 111.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8727547?\nAnswer: 41, 212867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 350026248 less than 350026247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/(-96) - (-54)\/((-11016)\/170)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 92375543 = 24469042. Let y = 54688909 - t. Suppose 0 = -6*d + 2*d - 4*a + 31319984, 2*a = -4*d + y. Round d to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvxv when four letters picked without replacement from vxvyyvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0085423517 to five dps.\nAnswer: -0.00854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1848 and 32588094.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f - 22*f = -121*f + 31*f + 1340 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(125)*-3 - sqrt(125)) + -5)*1)**2.\nAnswer: 160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -1, -2\/35, -130?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 193632?\nAnswer: 968160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001748958 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143420 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 20.9. Which is bigger: j or -1.9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13185 or 1?\nAnswer: 2\/13185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*u + 19*u + 16*u**2 + u**2 wrt u.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(91)*2*-6)\/(6*sqrt(252)*-5).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 12 + h**3 + 12 + 5*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -401337 (base 10) to base 2\nAnswer: -1100001111110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o + 10. Let x(l) = 4*l - 5. Let p(n) = 2*j(n) + 5*x(n). Suppose -2*u = u + 3*r - 30, 4*u - 4*r = 0. Let s be u + (-2 - -2)\/1. Determine p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560807469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8820213 to the nearest integer?\nAnswer: 2970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 + -60. Suppose -17*d = -2*z - 14*d - 80, 4*z + 152 = 4*d. Let l = z + i. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1074)\/(-14) + (-1)\/(14\/(-4)). Let n = q - 38. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*i - 64*i = 22. Suppose a + 240 = 6*a. What is the third derivative of 17*x**2 - 42*x**3 - a*x**i - 248*x + 248*x wrt x?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 4. Let m = -62.1 - -61.2. Which is the second biggest value? (a) z (b) m (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 7*k - 3. Let b(o) = 5*o**2 + o + 2. Suppose -5*l - 3*g - 10 = 5, 4*l + 12 = 3*g. Calculate the remainder when b(l) is divided by u(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-286)\/(-4) - -1)*(-36)\/(-15). Suppose 0 = -5*s + 4591 + w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-14)*(-1862)\/(-1995)*(-15)\/9\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*j - 94 - 61, u - 51 = -5*j. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 17 - 29*w - 26*w + 56*w - 6. Give o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29822 and 2039986.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 7)*(-8*a + 5 - 5)*(3 - 13 - 3 - 1) to b + k*a and give k.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 6. Let a(r) = 2*r - 8. Let g(u) = -4*a(u) - 6*i(u). Let c = 31 - 9. Is 16 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 r, and 1 w when four letters picked without replacement from yrwrbmnwy?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 38. Let q be h(-11). Let i(c) = -5*c - 11. Give i(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107 - -146) + (-5 - 16) + 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 139069 and 238404.\nAnswer: 1668828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -771 and 853\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 4*x**2 - 3*x**2 + x**2 - x to y*x + c + o*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3455 is divided by 315.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from {p: 2, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 601*g**2 - 3*g - 2. Let s be z(3). Suppose 0 = -0*y - y - 3*v - 1797, -s = 2*y - 3*v. Round y to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(2\/41))\/(p**(-28)*p))**19)**17)**44 assuming p is positive.\nAnswer: p**(16343800\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -271886*i**2*j - 365702587*i**2 - 36*i*j wrt j?\nAnswer: -271886*i**2 - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {u: 2, s: 2, w: 2, z: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(6\/(-48))\/((-2)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3211552584?\nAnswer: 2, 3, 14868299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 + -8 + 11 + 63. Let m be (-9)\/18 - 806\/(-4). Suppose -x + m = -k. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27 and 351735.0303.\nAnswer: 351708.0303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2. Let p(u) = -3723*u + 1. Give v(p(k)).\nAnswer: 55442916*k**2 - 29784*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9495859969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*b - 5*a + 1076, b = a + 524. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 23*y**2\/2 + 59627018*y + 5184958 = 0.\nAnswer: -5184958, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 14) in base 12?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 147535325 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88824 is divided by 9865.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-130)\/(-50) - 4\/(-10). Solve -13 = -2*b - y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 4*j - 2. Let l = -8 + 13. Suppose 0 = -l*r + 50 + 10. Let k be (-6)\/(-8) + 3\/r. Let p(o) = -o - 1. Give k*m(d) - 2*p(d).\nAnswer: d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 5 (c) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 925.4 + -848.4. What is the third biggest value in 31, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + 4b?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 568*a + 61. Let i be z(18). Suppose 23*h = -i + 30295. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 9*m - 812. Suppose 5*d - d - m = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -23*o + 166. What is q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 2. Let b = -3 + t. Suppose -k = -b*k + 42. What is the greatest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34647865 to the power of 1\/2, to the nearest integer?\nAnswer: 5886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**8\/1176 + o**7\/147 + o**6\/84 - o**5\/42 - o**4\/14 - 9*o**2 - 4. Solve r(d) = 0 for d.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -21*b**2 + 17*b + 4. Let z(s) = -20*s**2 + 17*s + 3. Let t(o) = 3*k(o) - 4*z(o). Find the second derivative of t(f) wrt f.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32645172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4173 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1967 - -3015. Let j be 5\/2 - y\/(-16). What is the greatest common factor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - c - 4 + 0 + (-c + 1 - 1)*(3 - 2 + 1) to i + u*c and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04427 and -0.01566?\nAnswer: 0.0006932682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 379\/7434, 0.3.\nAnswer: 379\/7434, 0.3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2, -4*i + 0*w = -3*w - 94. Let m = 7 + i. Suppose m = -3*h + 7*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 g, and 1 c when four letters picked without replacement from xxxccgcgghgxgg.\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*i - 48 - 11 - 108.\nAnswer: -71*i - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1561 and 46830.\nAnswer: 46830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2\/3, -1\/8, -101, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2433\/11 - 221. Let t = -1 + 1.5. Let m = 10 - 14. What is the third smallest value in l, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 11)*(980\/(-35) + -5).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(12\/5)*a*a)\/a)\/a)\/(a**(-11\/2)\/a))\/(a\/(((a*a\/a**(2\/19)*a*a)\/a)\/a*a))**(-4) assuming a is positive.\nAnswer: a**(251\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s = -92*s + 570. Suppose 0 = 130*k - 128*k + 8. Sort 6, k, s in increasing order.\nAnswer: k, 6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 + 59*i**2 + 8*i - 21. Give k(15).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56537666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 795d - 4?\nAnswer: 7959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/(v\/v**(3\/8)))**(-33) assuming v is positive.\nAnswer: v**(-1947\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4618 = -3*v - m, 4*m + 4643 = 2*v + v. List the prime factors of v.\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46 from 873724815.\nAnswer: 873724861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7522*q**3*t**3 - 2*q**3 + 2*q**2*t**2 + q*t - 301*q - 2*t**3 wrt t?\nAnswer: 45132*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 + 3. Let o = -57\/77 - -5\/11. What is the nearest to -2\/3 in w, 1\/5, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1049*w - 1084*w + 37 - 212 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101890344 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -2. Let p = -398 - -400. Solve -4*o - t = p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + u - 132. Give b(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m - 56. Let b(j) = 6*j + 56. Let p(w) = -4*b(w) - 3*l(w). Calculate p(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.06 - -0.5. What is v rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9570440 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c + 13. Let t(n) = -17*n - 24. What is -6*t(z) - 11*w(z)?\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000111100010 - 101?\nAnswer: 111000111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*c**2*i + 8*c**2 - 3*c*i + 3*c + 28*i wrt c.\nAnswer: 30*i + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 9 - 39. Suppose -5*b + 76 = z. Solve 4*f = -5*w - 1, -w + 3*w = 2*f + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3789.12 years?\nAnswer: 3.78912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) 9918\/7 (c) 4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325301, 325314, 325349, 325418, 325533?\nAnswer: 325706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11176 and 1050?\nAnswer: 5867400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -5*a**4\/12 - 7*a**3\/6 - 3*a**2 + 16*a. Let w be o(-5). Let g = -90 - w. What is the lowest common multiple of 1 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -69. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -641 - -429. Is (w\/8)\/(2\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 935*s**2 - 1873*s - 937.\nAnswer: (s - 937)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 23 - 17. Let i = -2 - j. Sort 0, -5, 4, i.\nAnswer: -5, 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 10*x. Give o(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 106 = -a, -c = -4*a - 3*c - 394. Do a and -95 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106885, -2, 3, -4.\nAnswer: -106885, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-2)\/(-4) - -28. Calculate the greatest common factor of z and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200*m*t*x**3 + 44*m*t*x - 4288*m*x + m + 12689*t*x**3 wrt x.\nAnswer: -1200*m*t*x + 76134*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*w - 13635 = -755*w - 2288 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/252*-57 - 3\/(-2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:41 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*a - 42463 = -43963 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -19) + (-1 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26793\/12 - (-6)\/(-8). Let s be (-9)\/(-6)*17581\/i. Let u = -9\/496 - s. Calculate the common denominator of u and 55\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -708 + 117 = -g. Suppose 6*x + 39 = g. Is x a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s**5\/5 - 30*s**4 - 1842*s**3\/5 + 1926*s**2 + 12000*s - 4200 = 0 for s.\nAnswer: -7, -5, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 3*f**2 - 2*f - 8. Let p be i(-10). Suppose w = -w + 3*b + 1697, -2*b = 2*w - p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/175)\/(6\/15)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 143*o**2. Let f(t) = -5*t**2 + 20*t. Let a(x) = -x**2 + 2*x. Let m(p) = -10*a(p) + f(p). Determine i(m(w)).\nAnswer: 3575*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16310633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - 8 - (1 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 18*c**2 - 43*c - 50. Give j(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 3*k**3\/2 - 7*k**2 - 14*k. Differentiate h(p) with respect to p.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4752 and 73392?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -34*y + 5. Let p be u(-2). Suppose -3*o - p + 382 = 0. Suppose -2*m + o = 37. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*z = -1, -2*o - z = -7*o + 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29144960 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 2. Let g be h(-5). What is the smallest value in g, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) -56 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*d + 6*o - 1005, 0 = -d + 4*o + 176. Suppose -u = 16 - 15, -3*u - 101 = -2*c. Calculate the greatest common factor of c and d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -22 + 2*q**2 - 19 - 16 + 39 - 37*q. Let k be p(19). Solve -2*w + 4*x + 20 = 0, 0 = 2*x + k + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405*-428\nAnswer: -173340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1762856 rounded to the nearest 1000?\nAnswer: -1763000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 5088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/21 - (738\/(-35) + 4). Let s = -41 + 57. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.227 times -2?\nAnswer: 6.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(0*w + w**3 + 0*w) + (2*w**2 + 2*w**2 - 3*w**2)*(-4 + 1 + 1)*(w - 2*w + 3*w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + c + 42, -167*m - 4*c - 51 = -164*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (195\/(-1755))\/(1*(-1)\/1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2341343.\nAnswer: 2\/2341343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/6)\/((-1)\/(-3)). Solve h*p + 16 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from noknnvlokksol?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97*o**4 + 29*o + 6405.\nAnswer: 388*o**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 315. Is 25 a factor of f(53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + x - 1. Let w be y(1). Let s be 4 - 1 - (-7 + 10). Solve s*f + w = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3. Let i = 307 - 308. Let g(k) = 51*k**2 - 3*k + 54. Let q(r) = i*g(r) + 18*x(r). What is the second derivative of q(o) wrt o?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-608)\/(-44) + 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1, 4, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3604*d**3*i**2*y - 357*d**3*i - d**2*i**2 - 2*i*y wrt y.\nAnswer: -3604*d**3*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 14. Let s be x(-10). Let i(o) = 4*o**3 + 6*o + s*o**3 + 5 - 7*o**3 + 9*o**2. Is i(-5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28515 and 65445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3851824 and -570472.\nAnswer: -570471.6148176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.131*0.38.\nAnswer: -0.04978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138304.\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-27)\/6)\/((-2)\/(-4)). Let l = 61 - 21. Let j = l + z. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/7 + 66056*l**4\/7 - 726374*l**3\/7 - 184*l**2\/7 + 6074968*l\/7 + 5282720\/7 = 0. Calculate l.\nAnswer: -2, -1, 4, 10, 33017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**5\/7 - 1842*x**4\/7 + 3726*x**3\/7 + 5562*x**2\/7 = 0.\nAnswer: -309, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 546 = 4*j. Let n = -43 + j. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 times 0.39?\nAnswer: -56.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/2)\/(15\/10). Suppose b*n = 0, 15 = -2*i + 5*n + 5. Let d(w) be the first derivative of w**4\/4 + 4*w**3\/3 - w**2 + 7*w - 1. What is d(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 137952?\nAnswer: 1241568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from nznoonxzxonbooozox.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2545 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59.148*0.7.\nAnswer: 41.4036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 8*j - 9 - 1)*(2*j - 3*j - 2*j)*(8 - 2 - 4).\nAnswer: 48*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:52 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoy when three letters picked without replacement from hnonnognrnorryogornn?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6642*r = -6637*r + 15, -11*z + 220 = -4*z - r for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 2177.\nAnswer: -9\/2177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 150376 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -2, -10, -18, -26, -34?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*n = 484, y - 2*y = n - 496. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*z = -11, 2*h = -2*h - 3*z + 3. Let v = h + 11. Suppose -5*l = -l - 48. Calculate the least common multiple of l and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 3*v**2 - 3*v + 1. Let a be h(4). Solve 2*z - 4 = a*x - 5, -2*z - 7 = x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 5*o**2 - 2*o**3 + 5*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 232752168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -528*g**3*r - 12*g**3 + 2*g**2 wrt r.\nAnswer: -528*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254669205.\nAnswer: 3, 5, 7, 61, 39761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 1 - 1 + (30*q - 37*q - 16*q)*(-q**3 - q**3 + 0*q**3) to the form r + v*q + f*q**3 + i*q**2 + n*q**4 and give n.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-1000)*-15)\/((-6)\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 + -26.4.\nAnswer: -26.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 439 and 10.\nAnswer: 4390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4 - 166662*b**3 - 833373*b**2 - 666708*b = 0. Calculate b.\nAnswer: -4, -1, 0, 55559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.010767 nanoseconds?\nAnswer: 0.000004010767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 3*n - 3. What is g(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4287, 4304, 4347, 4428, 4559, 4752?\nAnswer: 5019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3050125?\nAnswer: 5, 13, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 39150832 divided by 699122\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from noumvuemmvv. Give prob of sequence nvmv.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510921?\nAnswer: 3, 127, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let w(v) = -v + 1. Suppose -10 = 2*d + 4*z + 2, -3*d - z = -7. Suppose -m + 9 = -d*m. Calculate m*h(y) + w(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -215 - -218.7. Is t less than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19787287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w - 9*w - 2 - 929*w**3 + 5*w**2 + 926*w**3 as j*w**2 + a*w**3 + s + g*w and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38115, -18365, 1385, 21135, 40885, 60635?\nAnswer: 80385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -6\/1698125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -363586 and 8.\nAnswer: -2908688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from rperfeeewfr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -104*w**2 - w. Let j be i(-1). Let m = j + 188. What is the tens digit of (m - (1 + 2)) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*97\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*s**2 - 180227 + 180227.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 2*a - 3*o = -11, -2*a + 5*o = 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j**2. Let n(k) = 445 - 445 - 8*k. Determine y(n(z)).\nAnswer: -704*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4028486*m*w**3 - 372*m*w - 7*m + 4*w**2 - 2 wrt w?\nAnswer: -24170916*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-1*-5 + -4.\nAnswer: -4 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u = 110. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 573? (a) -2\/3 (b) -263 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3411962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21413130 + -20?\nAnswer: 21413110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -439, -440, -441, -442?\n\"Answer: -d - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.14 - -5. Let f = x + 0.04. What is the smallest value in -2\/7, f, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 192.544662\nAnswer: 190.544662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.3 + 3. Let w = g - -0.5. Let m = -5.2 + w. Which is the third smallest value? (a) 0 (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1274 and 1092.\nAnswer: 7644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 154981883 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(5\/8)*t)\/(t*(t*t*t*t**(7\/11))\/t))\/(t**(7\/3))**(-4\/13) assuming t is positive.\nAnswer: t**(-1865\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 2, c: 1, b: 2}. Give prob of picking 1 c and 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*o - 8 = 0, 4*o = -u + 2*u - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1055 and 1795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*q**2 + 94*q**2 - 343*q**2 + 183*q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/137952936 and 17\/8712.\nAnswer: 1517482296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2098612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17540 - 10644367?\nAnswer: -10626827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 103212*p. Let u(q) = -5*q - 57. What is h(u(z))?\nAnswer: -516060*z - 5883084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133216 is divided by 125.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -341641 + 0?\nAnswer: -341641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k + 567 = 40*k - 2*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5.5. Let y = 1.4 - 1. Let w = y + v. Are 0.5 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -74 (b) 3\/5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/35 - (-4)\/(-14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/10)\/((-1)\/35). Solve -3*v = -0*u + u - 12, 2*u - b = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.61 + -37.71. Let z = 18 + -13. Suppose b = z*v - 4, -5*v - 3 = -2*b - 11. Sort 1, g, 1\/2, v in ascending order.\nAnswer: g, v, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000604 to seven decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3175 and 26628725.\nAnswer: 3175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79017263?\nAnswer: 13, 6078251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341791 is divided by 170380.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/60)\/(-1)*(-6 + 1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -32*s + 0*s**3 + 25*s - s**3 + 2 - 2*s**2 + 2*s**3 + 3. Let u(i) = i**2 + 3*i - 2. Give -2*j(y) - 5*u(y).\nAnswer: -2*y**3 - y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2156)\/(-396) - (0 - 12\/(-27)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**7\/490 + o**6\/280 - o**5\/140 - o**4\/56 + 3*o**2 - 141*o. Factor d(n).\nAnswer: 3*n*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122003 + -4?\nAnswer: 121555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/402 and 67\/4.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-14))\/(-2*4\/56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:14 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(2\/21)*(l**(-1))**(17\/4) assuming l is positive.\nAnswer: l**(-373\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 1574*s + 11117. Calculate g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -45. What is the nearest to p in -1\/6, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = -2*j. Let z = -1 - -11. What is the highest common divisor of z and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 26\/3. Let d(b) = -98*b + 389. Let y be d(4). What is the third biggest value in y, 0, p, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -6, -1, 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -266173730 divided by -26617373?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 8*l**2 - 204 + 121 - 20*l**2.\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 196*m - 197.\nAnswer: (m - 197)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390642 and 10224?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, s: 8, q: 1}. What is prob of sequence oos?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 - 2 - 1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9948733?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 881 + -881.3. What is the third smallest value in x, -5, 2\/5, -0.6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/((-2451)\/396)*(-494)\/(-52)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.76495 weeks in microseconds?\nAnswer: 7115441760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 4, j: 14}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -70375330 to the nearest 1000000.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -373978933\/2 and -186989466 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s - 9*s + s**2 + 13*s - 21*s**2 as p*s**2 + u + c*s and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 41\/4. Is 11\/4 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -120. Solve 5*n = 5*w, -4*n + 40 = -n + i*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 309\nAnswer: -1\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-2)\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2)*(-2*z**3 + 16*z**5 + 2*z**3) + (3*z - 2*z**3 - 3*z)*(-3*z**2 + z**2 - 2*z**2) - 2 + 2 - 2*z**5.\nAnswer: -58*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**3 - 45*o**2 + o + 2. Let i(d) = -2*d**3 - d**2 - d + 1. What is -i(p) - m(p)?\nAnswer: -4*p**3 + 46*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**7\/525 + q**5\/75 - q**3\/15 + 12*q**2. Let y(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:04 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46769, -46874, -46979, -47084?\nAnswer: -47189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -163233 < -1\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:33 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 + 102.041. Let v = 0.279 + l. What is the second biggest value in 5, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(65\/(-26))*(-52)\/(-13))\/((-2)\/(-4)).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 5. Let s(w) be the first derivative of w**2\/2 + 2*w - 1. Give -2*o(y) - 5*s(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1264 - -2043. Suppose -2*y - 249 = 4*p - z, 0 = -p + 4. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 2:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**2 - 20*y. Let b(q) = -6*q**2 - 4*q. Let o(s) = 10*b(s) - 2*p(s). Let f(h) = 194*h. Determine f(o(u)).\nAnswer: -9312*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1020611 + 17?\nAnswer: -10205d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 2*y - 2. Let k = 36 + -34. Suppose -j - k = 2. What is t(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425156398 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 6*c - 6. Let u be f(-7). Let v = u + 11. Does 20 divide 18 + (5 - (-6)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148*a*k*n + 20714*a*n + 938*a - 72*k + 4 with respect to n.\nAnswer: 148*a*k + 20714*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 10*w + w**4 - 5*w - 5*w + 5*w**3 as a + r*w**2 + f*w + y*w**3 + c*w**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 551063 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 14*w**2 - 2*w + 27. Determine n(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -662?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 9\/103060684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-4 - 4 - -5 - -4)) + 12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 205 = 2*p. Let q = 81 + p. Suppose 15*h = 22*h - 56. Calculate the greatest common factor of h and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -287639\/180 - -1598. Let j(u) be the third derivative of 4\/9*u**3 + 0 + 1\/45*u**5 + 0*u + 7\/36*u**4 - h*u**6 - 2*u**2. Factor j(c).\nAnswer: -2*(c - 4)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*q + 135 + 13*q - 51 + 14*q + 16*q.\nAnswer: -3*q + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5999876353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(220)\/sqrt(5))**2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 0, -53, 5, 75 in descending order.\nAnswer: 75, 5, 2, 0, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12298 is divided by 324?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131.8 - -120. Which is the nearest to 0? (a) -1\/5 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, s: 11}. Give prob of picking 2 s and 1 r.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*y**2 + 2802*y + 10671443 wrt y?\nAnswer: -98*y + 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:11 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.832545 rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 114 = -162 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3044, -4827, -7260, -10667, -15372?\nAnswer: -21699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 + -3) - 0 - -6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -3 (c) 7325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) 1 (c) 3 (d) -983 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(130)*2)\/(sqrt(50)\/(-1*sqrt(5)))*1 + 2.\nAnswer: -4*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 10 = -90. Let j be 92\/(-20) + 6\/s. Let w be (3\/(45\/j))\/(22\/33). Is w greater than -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2290*i - 2291*i = -r + 5, i - 55 = -5*r. Let h = -3.94 - 0.06. Which is the nearest to -2\/5? (a) h (b) 14 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 49.5, 0.4, -44, -4, 7, -2 in decreasing order.\nAnswer: 49.5, 7, 0.4, -2, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3797 at most 3797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62317135 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 146.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-15)*r*r)**28)**(-11) assuming r is positive.\nAnswer: r**(-5852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 788 and 244?\nAnswer: 48068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 9*w - 3. Determine z(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6806*g**2 - 46974*g**2 + 465484*g**2 + 118031*g**2.\nAnswer: 529735*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 6}. What is prob of sequence rrq?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1001213 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 + 2*h + 2. Let b(t) = -21*t**2 + 18 + 5*t - 7 + 3*t + 3*t. Let l(y) = y**2 + 11*y - 16. Let m be l(-12). Calculate m*b(n) + 22*f(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 > -14498476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 12*c - 45. Let z(v) = 2*v - 4. Let l(a) = -a**2 + 3*a + 4. Let b be l(3). Calculate the remainder when c is divided by z(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010111 - 110111001010?\nAnswer: -101111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*a**3 - 2*a - 8 - 11*a**3 - 6*a**3 + 0 as y*a + q*a**3 + l + f*a**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba3 (base 13) to base 14.\nAnswer: a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 440003 (base 8) to base 7\nAnswer: 1152624","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round 12908953800 to the nearest one million.\nAnswer: 12909000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllllllllvll. Give prob of sequence lll.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8979989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(10*o**2 + 2*o**2 + 4*o**2) + 0*o**2 - 2*o**2 + 0*o**2 - 4*o**2 + o**2 + o**2 to a*o**2 + j + w*o and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(308)\/(sqrt(7) - sqrt(28)))\/(3*2*sqrt(144)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000698956 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(704)*-5)**2.\nAnswer: 17603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-6)*h)\/h)\/(h\/(h*h**(-2))))\/(h**(-2\/3))**(-49))**(-18) assuming h is positive.\nAnswer: h**732","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*((sqrt(1900) - sqrt(1900)*-2) + 1) - ((-2*(0 + sqrt(1900)) - sqrt(1900))**2 + 3 + (2*sqrt(1900))**2)).\nAnswer: -24698 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2228532 to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -191 + 190 - ((-10)\/12 + 0). Which is the closest to -2\/3? (a) 1 (b) 0.9 (c) -4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2467017.\nAnswer: -1\/822339","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -36. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/33 - -5\/66. Suppose q*g - 1\/4*g**2 - 1\/4 = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -107, -152, -181, -188?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.9. Let z = -3946 + 3945.7. What is the nearest to m in 2, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172777586 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 10*w**2 - 6*w - 3. Is 6 a factor of i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a microgram in nanograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38754501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 93541377*r + 193901898 wrt r?\nAnswer: 93541377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 8. Let p = 9 + k. What is the smallest common multiple of p and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5127 + ((-12)\/24 + (-4)\/(-1))*-2. Is 5119 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c - 2. Let y be b(-2). Let j = y - 2. Suppose -5*m = 4*h - 179 - 618, -j*m - 5*h = -329. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**3 - 5*i**3 - 10*i**3 + 13*i**3.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3.6. Let u(r) = r**3 - 20*r**2 + 20*r - 21. Let p be u(19). Which is the smallest value? (a) -1\/5 (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361342107.\nAnswer: 3, 7, 31, 61673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2)\/(15\/50). Let u = 12 + d. Sort u, 12, 0 in descending order.\nAnswer: 12, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 632485 and 6545?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 * -1389\nAnswer: 3750.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 185131 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(63))**2 - (2*sqrt(28))\/sqrt(4)) + (sqrt(112) + -1 + sqrt(112) + sqrt(112))**2*-2.\nAnswer: -1766 + 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 201011214?\nAnswer: -201011205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {w: 11, a: 2, n: 1, e: 1, x: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - 4 + 2*z**2 - 4*z)*(4 + 2 - 1 + (0 + 1 + 1)*(-1 + 1 + 1) + 2 - 3 + 2) in the form x*z + t + m*z**2 and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1741 + 1738. Put 1, r, 27, 0 in increasing order.\nAnswer: r, 0, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/7)\/((-6)\/21). Let b(l) = 3*l + l + l - m. Give b(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/5, 1, 0.14 in descending order.\nAnswer: 1, 1\/5, 0.14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6) - 374\/(-33). Let a(m) = -m**2 + 212 + l*m - 218 - 4*m. Calculate a(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulpbluulup. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 235 - 235.8. Which is the nearest to r? (a) -3 (b) 2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w\/(w\/((w\/w**(-1\/2))\/w))))\/w))**(-14\/9))**15*((w*w**(-2\/27))\/(w*w**(-4)))**(13\/5) assuming w is positive.\nAnswer: w**(-3347\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -345*v + 2353. What is c(7)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 119779773 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 42, 107, 206, 345, 530?\n\"Answer: x**3 + 8*x**2 + 6*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6006 or -5933?\nAnswer: -5933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 135*y + 515. What is n(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646 + 1934 - 606 - 631 + 27*s + s.\nAnswer: 28*s + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42716230*0.2.\nAnswer: 8543246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3857.\nAnswer: 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 18*t**2. Let n(z) be the first derivative of -3*z**2\/2 + 7. Calculate u(n(s)).\nAnswer: 162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*q + 2*q. Suppose -36 = -4*o - 6*d + q*d, -4*d = -2*o + 28. Solve -3 = -o*k + 11*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.11 (b) 50 (c) -5 (d) -19.7 (e) -1\/9 (f) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 5:22 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1208*a - 9599. Let v be g(-8). Solve v = 17*o + 82 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**2 + 7*n**2 - 12*n**2)*((-3 + 5 + 6)*(0*n + 4*n - 2*n) - 7*n + 4*n + 2*n) as r*n + l*n**2 + b*n**3 + z and give b.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*s = 2*d - 14, 0 = -5*d + 5*s + 10. What is the units digit of 6\/12 - d\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - (-64)\/12. Suppose z = -3*y + 10, -4*y + 28 = 3*z + 8. Let p be (-8)\/(-2) - (-3 - -2). Solve -3*x = -p*b - h*x + y, 3*b = -5*x - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*y**3 - 286564*y**2?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*h + 3 = 27, w = -h + 2. Calculate the smallest common multiple of w\/(-45)*6*-5 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**1\/(i**18\/i)*(i**(1\/11)\/i)\/((i**(3\/10)*i)\/i) assuming i is positive.\nAnswer: i**(-1893\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - 3*k**3 + 4*k**3 + (-k**2 + 1 - 1)*(-1 + k + 1) - 69 - 14*k**3 + 69 + (3*k**2 - 3*k**2 - 2*k**2)*(-k - 3*k + 3*k).\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 2*x + 22*x + 4*x.\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u + 44*u - 20 = 3*w, u = -4*w - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, e: 1}. What is prob of sequence uueu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5490 - 2722. Calculate the highest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*d + 4*d. Suppose 23 = h + 3*h - d*j, 0 = -5*h - 5*j - 15. Which is the smallest value? (a) h (b) 2\/11 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 983, 5728, 18601, 43664, 84979?\nAnswer: 146608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 39941?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1020)\/57 + (-34)\/323. Let b be (25 + m)*(-24)\/(-14). Solve -8 = 2*f + i, 3*f - 6*f + 4*i = b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*sqrt(539) + 2) + 5 + -5*-2*(sqrt(539) + (sqrt(539) - (-2 + sqrt(539))))*-5)**2.\nAnswer: 69006*sqrt(11) + 1522700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-15))\/((-12)\/(-90)). Is 3521\/14 + (-9)\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 21837750*l**3 - 21837745*l**2.\nAnswer: -5*l**2*(l - 4367549)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56299, -56302, -56307, -56314?\n\"Answer: -g**2 - 56298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29093?\nAnswer: 47, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, r: 2, d: 1, z: 1}. Give prob of sequence rrdq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 33. Let w be (138\/(-6) - -2)*(-4)\/(-6). Let v be m(w). Let z be ((-4)\/3)\/(13\/(-39)). Sort -3, v, z in ascending order.\nAnswer: v, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118751.2 - -118751. Let j(n) = -n - 2. Suppose -l - 3 + 1 = 0. Let u be j(l). Put t, 2, -4, u in ascending order.\nAnswer: -4, t, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24711181423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2340353 (base 6) to base 4.\nAnswer: 131301231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.1 - -26.2. Which is smaller: n or 0.146?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2, -12\/5, -2\/21, -0.6.\nAnswer: -12\/5, -2, -0.6, -1\/3, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 154\/135977 or -1?\nAnswer: 154\/135977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*j - 192*j + 1692 = 0. What is the second derivative of 8*o + 75 + 209*o**4 + j*o - 75 wrt o?\nAnswer: 2508*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 7*w - 9. Let k be c(6). Let p(s) = s + 1. Let i be p(k). Let m be (-2)\/(i\/2) - 0. Solve -y + 7 = -4*b, -m = -0*b + 4*b - 2*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -278*s**3\/3 - s**2 - 302*s + 597. What is the second derivative of u(x) wrt x?\nAnswer: -556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-46)*21\/(-12)*12.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1195333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((r + 0 + 0)*(-1 + 0 + 2) + 1 + r - 1 - 1 + r + 1 + 1 - 1 + r)*(2 - 4 + 6) as b*r + z and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*c + 46*c - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 9:55 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/33 (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 9*a**2 - 4*a - 5. Is l(10) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sshs when four letters picked without replacement from {v: 3, s: 5, k: 1, h: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-5*s - 11*s + 2*s).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q - 7. Let f(w) = -10*w - 13. Let b(m) = 3*f(m) - 5*i(m). Let p(y) = 26*y + 20. Suppose -35*n = -20*n - 240. Determine n*b(c) + 3*p(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 3*l**2 - 5*l. Suppose 0 = -4*d - 30 - 2. Let v(f) = -44*f**3 - 5*f**2 - 2 + 2 + 8*f + 47*f**3. Calculate d*q(i) - 5*v(i).\nAnswer: i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*z - 3*o + 12, 0 = 4*o + 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216657 is divided by 52197.\nAnswer: 7869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - y - 1. Let m be d(-1). Suppose -w - m = -u, -2*w = -3*u - 0*w + 3. Suppose q - 3*b = -u, -4*q = b - 3*b - 46. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0\/(-1) + 2. Suppose -4*v - 26 = -5*z, 2*z - 6*z + 28 = 4*v. Let x be z + -1 + (-3)\/3. Calculate the greatest common divisor of x and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 38, -5, 2\/3, 167, 0.5?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24 = -3*k. Suppose k*d = 40 - 16. Suppose 5*b - 18 = 2*b. Calculate the highest common factor of b and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**4 + 249*a**3 - 111*a wrt a?\nAnswer: 36*a**2 + 1494*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 - 3*g**3 + 0*g**3 + 3*g to the form n + l*g**2 + x*g + r*g**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = -8. Put l, 2, -4 in decreasing order.\nAnswer: 2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 + 5176*p**4 + 193978*p**3 + 713736*p**2 + 693000*p = 0. What is p?\nAnswer: -33, -2, 0, 2625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559979?\nAnswer: 3, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uugguuuuuiguauuuuuii. What is prob of sequence uuug?\nAnswer: 143\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**3 - 17*c**2 + 13*c + 12. Let z be t(-5). Let o be 608\/5 - 27\/45. What is the greatest common factor of z and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 6 - 6. Suppose -4\/5*y**4 + 0*y**2 + p*y + 6\/5*y**5 + 0 - 2\/5*y**3 = 0. Calculate y.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*q = -260*q + 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**4\/12 - 5*y**3\/2 - 3*y**2 - 98*y. What is d(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.224 take away -14?\nAnswer: 14.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 93745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, -195, -534, -1009, -1620, -2367?\n\"Answer: -68*v**2 + v + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27324 by 457.\nAnswer: -27324\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*y + 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*2\/(-3). Let t = 3 - u. Suppose t*s - 9 = s. What is the highest common divisor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 13*q**2 + 5*q + 80. Let f be z(12). What is the closest to 1 in 5, f, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (1\/4)\/(40\/(-480))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -40 (c) -1\/6 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04976 to three dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12777*u**2 - u - 4. Let p be q(3). Round p to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**6\/30 - 51*c**5\/10 + c**4\/12 + 21*c**2\/2 + 99*c - 2. What is the third derivative of a(i) wrt i?\nAnswer: 24*i - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 739.6704 decades?\nAnswer: 88760.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89896595 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 4*d**2 - 2*d**2 + 4*d + d**2 in the form g*d**2 + q*d + w and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1879 - -1879. Which is the smallest value? (a) -8 (b) 9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187\/34*(-12)\/44\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 290*r**2 + 4*r - 9. What are the prime factors of a(2)?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3058 and 6488834?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1894, -1895, -1896, -1897, -1898, -1899?\nAnswer: -1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 4*j + 128, -x + 250*j - 245*j - 1 - 43 = 0 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -14*k + 72. Let u(c) be the third derivative of -c**6\/120 + 3*c**5\/20 - 5*c**4\/12 + c**3 - 3*c**2. Is u(k) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 20 - 40)*((-3*k + 0*k + k)*(-4 + 2 + 1) + (2*k - 5*k - 2*k)*(0 + 2 - 4)*(-2 + 2 - 2)).\nAnswer: -144*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 3 = 3*a, -137*a - 199 = -2*g - 116*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let s(j) be the first derivative of 28\/3*j**3 + 0*j**2 - 2 + 0*j. Calculate k(s(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -18) + (-21)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.2 + -0.8. Let b = z + 6. What is the second biggest value in b, -4\/3, 9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 + 11021?\nAnswer: 11141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 52911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(2\/4*-2). Let b(n) = -2*n + 1. Let p be b(q). Suppose 53 = p*v - 61. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*k - 3, 0*k = k - 5. Suppose -3*w = 2*d - 24, -2*d + 5*d + w - j = 0. Solve 0 = -2*r - 0*r - d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2 - 2)*(-2*r - 2*r + 2*r) - 2*r**3 - 2*r**3 + 0*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_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 2 divided by -36?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -6, -22, 3, -4.\nAnswer: -22, -19, -6, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 590.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 1 - 1 + (6*g - g - 3*g)*(0 + 0 - 2*g) - 22*g**2 + 5*g**2 - 7*g**2 - 2*g**2 + 3*g**2 - 2*g**2.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 - 2*r + 4. Let l(q) = 5*q**2 - q + 3. Let m(w) = 3*k(w) - 2*l(w). Let s be m(4). What is the highest common divisor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 10*i - i. Let b be (-1 - -1) + 6*(-4)\/i. Let l be -21*(((-2)\/(-6) - -3) + b). Let s(u) = u + 9. Determine s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 6349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*f = -3*t - 40*f + 528, -24*f + 22*f = t + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/43)*r**(-15) assuming r is positive.\nAnswer: r**(-641\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**2 + 34*s + 2. Let d(i) = i**2 + 3*i + 1. Give -12*d(c) + k(c).\nAnswer: -6*c**2 - 2*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 43 = 5*f, 17*k = 12*k + f + 38. Suppose k*t - 217 = -0. Does t = 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.4 - 4.6. Let u = 33.05 + r. Let x = u - -0.02. Which is the third biggest value? (a) 4 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 63, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 509.1945ml?\nAnswer: 0.5091945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 305319317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3) - 6\/(-9). Let l(t) = -4*t + 31 + 3*t + 0*t. Is l(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 24 = -17*i + 34, -3*i = -4*k + 26 + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 161, 277?\n\"Answer: 116*s - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/120 - v**5\/12 - v**4\/12 - 5*v**3\/6 + 8*v**2. Let z be 7\/((-21)\/(-18)) + 1. Is k(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1512, 2332, 3152, 3972, 4792?\n\"Answer: 820*l + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -8*n - 2605. What is the second derivative of -521*t**2 - 16*t + n*t**2 + 32*t**3 - 8*t wrt t?\nAnswer: 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (1 + (-13 - -14)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -10*d**3 + 6*d**2 + 36*d - 7. Let l be 12*((-14)\/8 - 3\/(-12)). Let c be i(l). What is c rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5 + 20. Suppose 4*p = 3*b + 51, 2*p - 34 = -q*b - 13. Let 12 + p - 3*a**3 + 3*a - 21 - 3*a**2 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*y - 3*y - 18 + 3 = 0, -5*j = 5*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(5\/6)*(j\/j**4)\/j*(j**1\/j)**(-5))**(-23\/3))**(-11\/8) assuming j is positive.\nAnswer: j**(-3289\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*u - 3*j, -5*j - 7 = 3. Suppose -5*g + 3*g = -u. Suppose -5*r = 5*l + 10, -l + r = -0 + 4. Put -4, l, g in descending order.\nAnswer: g, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336512004 to the power of 1\/2, to the nearest integer?\nAnswer: 18344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30795 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 7:32 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170) + sqrt(170))*3 + sqrt(170)*1*4)\/((5*sqrt(120) - sqrt(120))\/sqrt(12)*-2).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*r + 64, 2*d + 24 = 3*d + r. Let h be 5\/10 - 10\/d. Which is the second biggest value? (a) 0.02 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018869 to 4 decimal places.\nAnswer: -0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 11*t - 8. Give o(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, i: 12}. What is prob of picking 2 i and 1 m?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -8, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, y: 3, s: 1}. Give prob of picking 3 y.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/1707972 and 59\/121998?\nAnswer: 1707972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4416 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 23412105\nAnswer: 468242100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Sort 8, 3, f in increasing order.\nAnswer: 3, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n + 13*n + 30*n**2 - 6*n + 30*n**2 to d*n**2 + r*n + k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313\/7 - 2431\/42. Find the common denominator of a and (18\/(-7) - -3) + (-18377)\/13202.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + n - 26. Give c(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57.1547 and 0.2.\nAnswer: -11.43094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 453172395 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -3*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + p + 0*p + 4. Let m be v(-3). Let a be (m\/(-5))\/((-1)\/5). Is a less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-9)*0 + 2. Suppose 0 = 5*r - h - 13. Let i(f) = 9*f - 2. Is i(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.038 + 18.538. What is the fifth smallest value in 103, -5, v, 3, -3?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 83*h**2 + 92*h + 6. Let o(q) = 84*q**2 + 78*q + 5. Determine -6*j(i) + 7*o(i).\nAnswer: 90*i**2 - 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*h + 26, 2*j + 5*h + 1 = -1. Find the second derivative of 2*u**2 - j*u + u**2 - u + 2*u wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.4 - -0.1. Let y = v - -11.71. Let q = y + -2.409889. What is q rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iddsskij. What is prob of sequence ss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -1\/9, -0.505, 9, 5, 4?\nAnswer: -0.505","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by 7431.\nAnswer: -216\/2477","meta":{"dup_signals":{},"source":"arithmetic__div_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: What is 16 (base 8) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t**4 + 294*t + 99. Differentiate o(i) with respect to i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 48 = 4*f. Solve -3*g - 6 = -o, 16 = -5*o - 3*g - f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -88027, -176040, -264041, -352024, -439983?\n\"Answer: g**3 - 88020*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 1:40 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131056625?\nAnswer: 5, 7, 21397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaiiaeaaai. What is prob of sequence aae?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -16. Let v(u) = 15 - 11 + 4 + 5 - 34*u. List the prime factors of v(a).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 27 = 48 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(732\/184 - 4). Let f = g + -168. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 9 + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(4 + -7)*(-4 - -1). Sort 3, c, 1, 2 in decreasing order.\nAnswer: 3, 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -121*k**5\/6 + 5863*k**4\/6 + 49205*k**3\/6 + 35611*k**2\/2 + 7962*k + 1008 = 0.\nAnswer: -4, -3, -3\/11, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -25369 less than or equal to -12938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 4 + 5*z - 4*z. Suppose -3*a = -4 - 5. Give g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406639169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623659428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (12 + (-35 - -12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1*1\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -314?\nAnswer: 125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22772028 is divided by 488?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - ((-9 - 60) + 8)) + -11 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-15476)\/(-46428))\/(((-8)\/(-642))\/(-4))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzwtutwuwztzw. Give prob of picking 1 u and 1 z.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4400 = 4*n. Suppose 0*b = b - n. Suppose -4*c + 0*c + b = 0. Round c to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-750))\/(16\/10)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/3 + 1076*b**2\/9 - 3526*b\/9 + 352\/3 = 0.\nAnswer: 1\/3, 3, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 667 = -5*p - 129, -2*p = 4*r - 212. Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -22*r**4 - 2*r**3 - 72*r + 2. Let w(a) = -a**3 + 1. Let u(x) = m(x) - 2*w(x). What is the second derivative of u(c) wrt c?\nAnswer: -264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.216 take away 9.7?\nAnswer: -9.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = -l. Let o = l - -19. Suppose -52 = -5*c + o. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -59775508?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -5, 468\/43, -3\/14, 0.2?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*2*48*(-16)\/(-1024)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7636 - 7593. Which is the nearest to 1? (a) m (b) -1\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y + 8 = 0. Solve g - 9 = -4*d, d + 2*g = y + 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16861.66 years to decades.\nAnswer: 1686.166","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let s(x) be the third derivative of -5*x**4\/24 - 83*x**2. Determine j(s(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or 1.4?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 6*k - 2. Let h(l) = -l**2 - 8*l + 3. Let o be h(-9). Let y be a(o). Is 1 + 28 + (-4)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*-4 + sqrt(99) - sqrt(99) - (0 + sqrt(99))*6 - (-4 + (sqrt(99) - (sqrt(99) + (2 + sqrt(99))*1))))*-1.\nAnswer: -6 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4936, -9870, -14802, -19732, -24660, -29586?\n\"Answer: x**2 - 4937*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/63*0)\/(-2). What is the nearest to 1 in -1, a, -0.1, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/((-9)\/202))\/((-4)\/18). List the prime factors of (-2)\/(-3) - y\/27*-8.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 860\/1799?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 890, 1231, 1584, 1955, 2350, 2775?\n\"Answer: l**3 + 334*l + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23121 - 1987 = 3*h + 2*d, 2*d = -h + 7050. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 123, 254, 375, 480, 563, 618, 639, 620?\n\"Answer: -d**3 + d**2 + 135*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 13*u = j + 348, -4*j = -2*u + 1342. Let p = j + 338. Solve i + t = p, -i - 4*t = -0*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(252)*-5 + sqrt(252) + -1 + -2)**2 - (-5 + 2*(3*sqrt(7) + 2)).\nAnswer: 318*sqrt(7) + 20422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a6 - -29?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62149753.\nAnswer: 62149753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*y + 4277 = -4575, 0 = 2*m - 4*y - 5902. Is 2949 != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1468*g + 617906. Give m(421).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -71, -199, -449, -863?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 - 717860?\nAnswer: -718000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169 by 3803.\nAnswer: 169\/3803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14312*x - 14256*x + 28556*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1807, -5, 371, 2 in ascending order.\nAnswer: -5, 2, 5, 371, 1807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 466 + -79. Calculate the greatest common divisor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 331 = 4*b - 357, 2*b + 22*l = -102 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(121) - 1*sqrt(121)))\/(sqrt(44) - sqrt(396)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36093 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/9, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -264460 - -64?\nAnswer: -264363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:42 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.069 - 43.8. Let f = 42 - 41.73. Let q = y - f. What is q rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -409, -772, -1135?\n\"Answer: -363*h - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 4.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -193\nAnswer: 57.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479*w - 1680 = -495*w. Calculate the smallest common multiple of w and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6909 times 0.2?\nAnswer: 0.13818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, 3, 44\/61, 2, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + y + 125 = 0, y = -0*r + 3*r - 385. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1 - 6*u + 3 + 2*u**2 - 2*u**2 - u**2. What is the remainder when 11 is divided by v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:28 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.009883 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-31)\/a)\/(a\/(a*a\/(((a**(2\/57)\/a)\/a)\/a))))**(3\/11))**(-4\/7) assuming a is positive.\nAnswer: a**(6392\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.067775 and 3231544.6.\nAnswer: 3231544.667775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (68 + -70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.803\nAnswer: 0.3212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1491.\nAnswer: 4\/1491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s + 8*s - 14*s + s**2 + 2*s. Let p be d(-4). Solve -3 = 3*a - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2 + 7. Let i(v) = -v**2 - v - 1. Suppose -5*t - 28 + 3 = 0. Let g(f) = -4*f**2 - 11*f + 2. Let u(w) = t*i(w) + g(w). Determine u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 739*5*(-35)\/(-56). Let k = l - 2317. What is the common denominator of k and -79\/54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l. Let x(b) be the third derivative of -b**5\/20 - 5*b**3\/6 - 6*b**2. Let h(n) be the first derivative of x(n). What is h(c(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 15*g. Determine k(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502 = 15*s - 68. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -4.2 (c) -218 (d) -1 (e) 0.5 (f) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/481?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -171330469, -2, 1, 0 in increasing order.\nAnswer: -171330469, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*f**2 - 4 + (-35*f**2 - 17*f**2 - 5*f**2)*(-11 - 7 + 5).\nAnswer: 743*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*7\/686 + 1705\/(-434).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382516877.\nAnswer: 382516877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-3) - 3 - -7. Suppose 3*q + 21 = 2*h, -2*q + f*q = -h - 6. Suppose -2*s + h = -10. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-4\/9)*w\/(w*w*w**(-2)\/w*w*w)*w**(-3\/5)\/w assuming w is positive.\nAnswer: w**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 1 o when three letters picked without replacement from otohhoihtht?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 32525?\nAnswer: -32527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -67*h - 147. Give p(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-4)\/(-2))\/(-1). Let w be (-3)\/(-15) - (-112)\/40. Let j(c) = c - 1. Let h be j(4). Solve -p = -u*l - l - h, 3*p + w = -l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqbqxqlqbbsqxby. Give prob of picking 1 b and 1 q.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:14 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 5*c**3 + 6*c**3 - 5*c**4 to x*c**3 + j*c**4 + h*c**2 + z + p*c and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 - (2 - 8) - 3) - 24?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 115907, 115897, 115887, 115877, 115867?\n\"Answer: -10*n + 115917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 14*s**2 + 16*s + 17. Let q be w(-15). Solve 3 + 1 = q*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6*w + 3*q = -15, -5*w - 25 = 5*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134752*i**2*n**3 + 21*i*n**3 - 743*i wrt i?\nAnswer: -269504*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -90 (c) -4 (d) 2\/3 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48681338, 97362674, 146044008, 194725340?\nAnswer: 243406670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -5*l**5\/12 + 3*l**4\/4 + l**3\/2 + 32*l**2. Find the second derivative of w(n) wrt n.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + 826*x**2 - 268*x - 1595. Calculate g(275).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Suppose p - c = -2. Suppose -n + 0*n + 15 = 2*m, p*m - 15 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-33))\/((-2)\/(-30)). Is j at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900 = 31*d - 181*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10420 = -2*s + 27642, 2*s = -2*v + 17210. List the prime factors of s.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6. Suppose s = 2*u + 2*u - 8. Suppose -u*x - 15 = 3*c - 6*c, 5*c - 3 = -4*x. Solve 4*t - 8 = -b, c*b - 5*t + 0*t = -27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/32219, -0.2, -1\/17, -5 in increasing order.\nAnswer: -5, -0.2, -1\/17, -1\/32219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*25*-18*(-7)\/(-315)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**5\/60 - 3*n**4\/4 - 17*n**3\/6 - 104*n**2. What is x in s(x) = 0?\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**4 + 189826012*s**3 + 4024*s + 25340 wrt s.\nAnswer: -24*s**2 + 1138956072*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11541.8 and -0.3.\nAnswer: 3462.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6786499 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d - 4*c + 10, 5*d + 5*c - 15 = 0. Let b be ((-33)\/(-6))\/(d\/8). Suppose 0*g - 2*v - b = -2*g, g - 28 = -2*v. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 - 9*h + 10. Let o(n) = -9*n**2 + 20*n - 22. Let z(s) = 7*i(s) + 3*o(s). Calculate z(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1398? (a) 0 (b) -0.1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1862503\/462714 - -15\/11017. Find the common denominator of 54\/35 and s.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118221.4 weeks to seconds.\nAnswer: 71500302720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 2:36 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13011043?\nAnswer: 1061, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjl when three letters picked without replacement from {j: 15, l: 4}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.7.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -21*(-34)\/(-30) + 2\/(-10). Let c = -6 - o. Calculate the least common multiple of c and 70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 5. Let i be k(-3). Suppose i*g = v - 17, -4*g = -5*v - 24 + 61. Let m(f) = 7*f**2 - 8*f + 25. Is m(v) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(-9)\/(-2) - 2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4636270 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -20. Let s be (16 - 1)\/((-3)\/(-15)). What is the highest common divisor of s and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-26\/7)\/((z\/z**(-1))\/z)*z**(2\/47)\/z*z**(1\/9) assuming z is positive.\nAnswer: z**(-16465\/2961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27177 is divided by 47.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = 2*w, -58*r - 5*w = -55*r + 6. Let m(d) = 4*d**3 - 2*d**2 + 1. Give m(r).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-30)*3\/(-2). Let f(g) = -g**3 + g + 2. Let k be f(0). Which is the smallest value? (a) -2 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 48*l**2 + 413*l - 214. What is t(-9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -95?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 9*y - 7. Let h(g) = g**3 - g**2 - 4*g. Let s be h(3). Let w be (s\/4)\/(60\/(-2480)). Let r = w - -54. Calculate v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 12. Let a be c(14). Suppose 0 = g + 6 - 4. Let n be 87\/12 + ((-27)\/12 - g). Put 5, a, n, 0 in descending order.\nAnswer: n, 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8325 + -8325. What is the nearest to x in -8\/3, 0.1, 1\/4, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from wwxrwrwwxxwrrxwxwwwx?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 78498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.8 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 127, 192, 297, 442, 627?\n\"Answer: 20*g**2 + 5*g + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.0475.\nAnswer: 0.3325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*h + 157 = 0, -17*f + 3*h + 149 = -12*f. What is the highest common divisor of f and 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 - -561612?\nAnswer: 561700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 2700239836.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24330)\/675 + 20\/9000*20.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d - 69*d = -3024. What is the greatest common divisor of d and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 7*a + 7. Let g be v(6). Let z be (-3)\/(-3) + g + 10. What is the units digit of 8\/z - 1\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5032400 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 66 = -12*h - 2*p, 2*p - 37 = h. Is 4 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than 465531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 - 4*i + 2. Suppose -9*u = -47*u - 114. Let a(h) = 6*h**2 + 3*h - 2. Determine u*a(t) - 4*k(t).\nAnswer: 2*t**2 + 7*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.00341 - -2.99659. Let j be ((-40)\/24)\/(5\/(-2)). Which is the nearest to -0.1? (a) 0.4 (b) 105 (c) j (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) - (-675)\/20. Let u = 37 - d. Suppose 12*s + 1 = 1. Solve 4*f + 0*f = -u*w + 4, 2*f + w = s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d - 42*d = -744. Let r = d - 181. Let i(b) = -b**2 + 17*b - 16. Let z be i(15). Solve z = -r*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, q: 2, k: 3, m: 3}. What is prob of sequence mkd?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c + 31. Determine t(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 2*a**2 + 0*a**2)*(0*a**3 + 0*a**3 + a**3) + a**5 + 0*a**5 - 2*a**5 + 72*a - 72*a - 43*a**5.\nAnswer: -46*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21011 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-36)*(-1 - -9). Suppose -d - 3*d + 64 = 0. Solve z*h + 0*h = d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/7 - 4320*k\/7 + 47728 = 0?\nAnswer: -4396, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1))**15\/(t\/((t\/(t**(-1)\/t*t))\/t))**30 assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 2*r + 75. Factor -4*a**3 - 3*a - 15*a**2 + 6 - 2 + r + 8*a - a**3.\nAnswer: -5*(a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + 5*j**2 - 2*j**2 + 5 + 0*j**2 - 11*j + j**3. Let b be o(-9). Calculate the remainder when (b\/(-3))\/((-2)\/18) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 11) to base 8\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*n + 3*u, -2*n - 13 = 4*u - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from masvdsdvydyymv.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 0. What is the units digit of 3*2\/(-12)*f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2419\/(-123))*(-6)\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -547*z - 34. Let d(n) = 139*n + 9. Give 22*d(s) + 6*h(s).\nAnswer: -224*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 443 - 531. Is -3 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319353565?\nAnswer: 5, 1597, 165229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5838*-0.33.\nAnswer: 0.192654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 247 or -1434?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 618 and 3894.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyu when three letters picked without replacement from {u: 5, y: 1, l: 9, v: 1}?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b - 740. Let w = -64 - b. Let l(i) = -i**3 + 6*i**2 + 4*i - 15. Let y be l(3). What is the greatest common divisor of y and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -1\/12*g**3 - 1\/40*g**5 - 1 - g**2 + 0*g + 1\/240*g**6 + 1\/16*g**4. Let f(d) be the second derivative of u(d). Factor f(c).\nAnswer: (c - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-3394)\/4*(1 + -18 + 15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 96*v - 447. Let w be z(7). Let k = -22 + 2. Let n be (-16)\/12*w\/k. Solve 5*f + 0*f = -n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 0.04, 0.1, 0, 805, 2, -1 in descending order.\nAnswer: 805, 72, 2, 0.1, 0.04, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 679, 686, 695, 706, 719?\n\"Answer: s**2 + 4*s + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3542b5 (base 15) to base 10\nAnswer: -2545370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112494247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53080460.7161953 - 53080367.7. Let m = -3.9838537 - t. Let p = 97 + m. Round p to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -241*f + 10208. Does 16 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28726 is divided by 3158?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + 1 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15*d**2 + 46*d - 2. Let l(p) = 19*p**2 - 49*p + 3. Let c(a) = -7*h(a) - 6*l(a). Let s(k) = -3*k**2 - 9*k - 1. Give 2*c(y) - 7*s(y).\nAnswer: 3*y**2 + 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 215180 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**3 - 8*a**2 + a + 19. Let k(q) = 20*q**3 + 13*q**2 - 2*q - 28. What is 5*k(n) + 8*v(n)?\nAnswer: -4*n**3 + n**2 - 2*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 162*w**3 - 24*w**2 - 3*w + 5. Let f(k) = -k**3 + 2*k**2 + k - 1. Let i(u) = c(u) + 3*f(u). What is the third derivative of i(g) wrt g?\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 16 = 2*b + 3*i, -2*b - 10549 = -9*i - 10504 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 1, p: 1, z: 10}. What is prob of sequence zpz?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 11, -5, -2, 0, 0.0153, 5?\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 + 8*d**4*t**2 - 8*d**3 - 2*d**2*t - 60*d*t**2 wrt d?\nAnswer: 120*d**2 + 192*d*t**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from {i: 2, s: 9}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 94. Suppose 358*f = 353*f + 320. Let u = d - f. Calculate the greatest common divisor of u and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 - 5065*i - 4 + 5027*i + 1 + 5.\nAnswer: -38*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -23*s**2 - 22*s - 32. Let h(d) = -8*d**2 - 7*d - 11. Let o(x) = 8*h(x) - 3*j(x). Does 12 divide o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -80bb46 + 4?\nAnswer: -80bb42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -867.2483 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -0.08 (c) -7 (d) 6 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.36 - -0.04. Suppose 5*p - 5 = 5. What is the third smallest value in i, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 59491 (b) -4 (c) -2.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j - 0. Suppose 0 = -s + 2*n + 13, -s + j = 3*n - 2*n. Suppose -s*m - 4*h + 235 = h, -5*m + 2*h = -242. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36751 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from {q: 2, k: 6, d: 4, x: 1, w: 2, j: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -59662?\nAnswer: 59668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d + 20 = 0. Suppose 7*i - 12*i = 20. Let g be (2\/i + 1)\/((-1)\/(-30)). What is the highest common factor of d and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009485 times -1177?\nAnswer: -1.1163845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 4) to base 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67047086423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*s**4 + 172*s**2 - 100*s + 192283 wrt s.\nAnswer: -16*s**3 + 344*s - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqqetgqetewetet. Give prob of picking 2 t and 1 w.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k - 68. Let n(j) = 4*j - 31. Determine -6*f(u) + 13*n(u).\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3726 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + 1.98. Suppose -27 = 5*q + o, -5*q + 309*o - 312*o = 31. Which is the fourth biggest value? (a) q (b) -3\/7 (c) i (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 16. Let l be z(11). Suppose 3*f - 20 = 3*m + 2*m, l*f = 4*m + 16. Let j be (-3)\/(-1) - 60\/15. Put j, f, -3 in ascending order.\nAnswer: -3, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*p + 2 = -4*b - 136*p, -75*b + 16 = -3*p + 157 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138728153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 0 + (-2 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8444 or -8446?\nAnswer: -8446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 6) to base 11\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119651100 rounded to the nearest 1000000?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32924 minus 61955?\nAnswer: -29031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 19*y**2 + 19*y - 13. Give a(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*-14*1. Let c(z) = -9*z + 9*z + z**3 - 8*z**2 + 7*z + 9. Is 6 a factor of c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*m = 4*b - 115 + 127, -b - 2*m - 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11248346203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 614529, 614596, 614663, 614730?\n\"Answer: 67*t + 614462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.3201 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -245*w**2 - 775*w**2 + 40*w**2 - 60*w**2 - 546*w**2 as b*w**2 + n + m*w and give b.\nAnswer: -1586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxbbxpxxx. What is prob of picking 1 b and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**6 - 7*w**5 + 3416*w**3 - 320408*w**2?\nAnswer: -120*w**3 - 420*w**2 + 20496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-5)\/(-10)*(-4)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.7235758479191 - 4.\nAnswer: 7.7235758479191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r - t + 55, -3*r + 38 = 4*t. Let p be 4\/r - 240\/(-42). Let u be (-12)\/8 + (-9)\/p. Let y(k) = -k**3 - 3*k**2 + k - 3. What is y(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3312555 (base 6) to base 7.\nAnswer: 1255514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -4\/7, -4, 897?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*(sqrt(9) + 1*sqrt(9))*2)\/(3*5*sqrt(12)\/sqrt(4)))**2.\nAnswer: 256\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -468*a**2. Let j(v) = 32206*v. Give i(j(b)).\nAnswer: -485421972048*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28718 is divided by 130.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**4\/2 + 76*l**3 - 113*l**2 + 2847. Solve o(j) = 0 for j.\nAnswer: 0, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56487568 and 3?\nAnswer: 56487571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 1:24 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*h - 6, -117*h + 3 = -118*h + v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -8\/3*f**3 - 2*f**2 - f**4 - 3 + 0*f. Suppose m(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192*j**4*o - 13566*j**2 - 121522208*o wrt j.\nAnswer: -768*j**3*o - 27132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*q - 10. Let j(p) be the third derivative of 0 + 1\/2*p**3 + 1\/15*p**5 + 0*p - 5*p**q - 1\/6*p**4 - 1\/60*p**6. What is j(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + -28 + -4 + -13 + 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -17*f**2\/2 - 41*f - 53. Is 20 a factor of q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4 - 161148*t**3 - 2164217634*t**2 - 4327951836*t - 2163895347 = 0. What is t?\nAnswer: -26857, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 462 = 5*r + 52, -3*r + 406 = 5*u. Let y be 4\/9 + (-75896)\/(-954). Is u < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 681904 and 3910.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9207350 = -5*q + g - 2*g, q + g + 1841466 = 0. Let u = q - 58529. What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383724 divided by -54?\nAnswer: 7106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 202*r - 50381 + 55835 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - -0.03. Which is the closest to -1? (a) 0.4 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220451501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose 4*h + 3*x - 107 = 0, -2*h + 61 = -u*x + 2*x. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 613597730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1160 = -5869. Is 33 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*k**6 - 4*k**6 + 2*k - 33*k**6 - 57*k**2 + 21*k**2 - 25*k**3 wrt k?\nAnswer: -120*k**3 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, -51, 0.6, 1\/5, 1\/2, -49\/3, -1?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 569 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2087618.\nAnswer: 2, 13, 23, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:30 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - 0.39.\nAnswer: -25.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(14)*-4 - sqrt(98)\/((sqrt(175) - sqrt(7)) + sqrt(7)))\/(5*(sqrt(252) + sqrt(252)*2)).\nAnswer: -41*sqrt(2)\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (sqrt(13) - sqrt(52)\/sqrt(4)))*5)**2 + (sqrt(78)*-2*-2 - sqrt(78))\/(sqrt(6)*-1*3) + 1.\nAnswer: -sqrt(13) + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1259, 1214, 1167, 1118, 1067?\n\"Answer: -q**2 - 42*q + 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/9*-3*4\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*b**2\/15 + 116*b\/15 - 32\/15.\nAnswer: -2*(b - 8)*(7*b - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27062 (base 12) to base 11\nAnswer: 37336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 42*g. Let b(s) = 732*s - 16. Determine z(b(l)).\nAnswer: 1071648*l**2 - 16104*l - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 7*l = 60, -2*l = -32*t + 36*t + 46 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + b)*(-1 + 1 - 2*b**2) + 2*b - b**3 - 2*b)*(-56*b - 228*b + 11*b).\nAnswer: 819*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -p - 15, -5*p + 5*b = -p + 43. Let m be (-220)\/(-6) + 8\/p. Calculate the greatest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 12462065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 158993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*i + 108 = 127, -5*z - 3*i - 10 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 11*z**2 + z - 5. Let a be j(11). Calculate the common denominator of 4\/a - 257\/(-42) and 155\/16*(-6)\/(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -27707?\nAnswer: 27713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (272\/(-136))\/((-4)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*d - 4, -3*i + 3*d = 4*d - 20. Suppose i = m - 1. Calculate the remainder when 21 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.43 + -1.5. Let h = -0.301 - 0.009. Let y = k - h. What is y rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 7*c + 7. Suppose -5*l + 7 = -4*l. Let j(g) = g**2 - 10*g + 10. Let t(d) = l*o(d) - 5*j(d). What is the remainder when 25 is divided by t(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/7)*w**(-2\/25))**(1\/30) assuming w is positive.\nAnswer: w**(61\/5250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6460976)\/(-7) - -3 - (-12)\/28. Round f to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 72*q**2 + 36*q - 307. Calculate the remainder when o(7) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-4\/5)\/z*z*z*z*z)\/(z**(1\/2)*z*z))\/(z*z**2)**(-12\/7) assuming z is positive.\nAnswer: z**(479\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**5 + 3*z**5 - z**5)*(-46 + 183 + 8).\nAnswer: 145*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 31 = -10*p. Suppose p*r = 4*r - 110. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2446*y - 15 - y**2 - 2446*y. Let q(u) = 16*u**2. Determine q(m(d)).\nAnswer: 16*d**4 + 480*d**2 + 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-129 + 124)\/(30\/27). Let g = 0.5 - 0.4. Put h, g, -12 in ascending order.\nAnswer: -12, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -13, -0.5 in increasing order.\nAnswer: -13, -0.5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 383 + 11 = 2*j + 202 for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7387, 14781, 22163, 29527, 36867, 44177, 51451, 58683?\nAnswer: 65867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -347 + 347.0388. Round w to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4533233 (base 6) to base 16.\nAnswer: -382f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43554243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/(p\/((p\/(p*p\/(p**(6\/19)\/p)))\/p)))**49 assuming p is positive.\nAnswer: p**(-3430\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = -0*x. What is the third derivative of -3*l**2 - 5*l**4 + l**4 + 2*l**4 + 2*l**x wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence attt when four letters picked without replacement from taaattt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2699 and 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 12. Let z = -1872 - -1877. Let l(u) = -2*u - 13. What is z*f(c) - 4*l(c)?\nAnswer: -2*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 6 + -2 + 11 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/976011 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 409405*p**2 - 8380827400*p - 8380418000.\nAnswer: -5*(p + 1)*(p + 40940)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -14*g + 86. Let p be x(-8). Let d(s) = s**3 - 3*s**2 + 4*s - 2. Let c be d(4). Let b be (36\/15)\/(4\/c). What is the greatest common factor of b and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from {u: 2, e: 3, d: 5}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2) + (-2*sqrt(2))**2 + -4 + (sqrt(2) - ((sqrt(50)\/sqrt(5) + sqrt(10) + sqrt(10) + sqrt(10))\/sqrt(5))**2).\nAnswer: -30 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(187\/(-462) - (-1)\/3). Calculate the highest common factor of 36 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 9:16 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 175453\/5 or 35090?\nAnswer: 175453\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Suppose 704 = 22*h + 176. Let y = h - 266\/11. What is the biggest value in y, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3836776 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16025 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41a5 + -2719?\nAnswer: -68c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837494 + 32*z**2 - 837494.\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252938 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(288) + 0 + sqrt(2))*3.\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/10778070 and -101\/62512806.\nAnswer: 312564030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, 13\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*i**4 + 20*i**3 + 12*i**2 - 18*i.\nAnswer: 456*i + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 22, 0.06, -2\/71, 0.115?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2092 and -0.333.\nAnswer: 696.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuuuzzzuu?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 1 + 27*c**3 - 2*c**2 - 29*c**3. Let x be m(-1). Find the third derivative of -1 + 5*t**3 + 1 + 0 + 6*t**x wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1248001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(5) + -4 + -1)**2 - sqrt(5)).\nAnswer: -11*sqrt(5) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 217442.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 67*b**2 - 40*b + 6. What are the prime factors of q(5)?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19597370 divided by 1187\nAnswer: -16510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -12 - (-12 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 10*j**2 - 9*j - 2. Let k be l(-9). Let w = -3 - -13. Suppose -5*r = 5*s - w, s + 1 = 3*r + 3*s. Put 2, k, r in ascending order.\nAnswer: r, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632959291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/1)\/(3*3\/978). Suppose 3*v = 7*v - 2*h - w, 3*v = -4*h + 1195. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -798 + 1244. Is 8\/(-16) + j\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/5)*c\/c**(-1\/5))\/((c*c**(2\/21)*c)\/(c\/((c*c**(-1\/4)*c)\/c))) assuming c is positive.\nAnswer: c**(-19\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176125218 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140.122 + -140. Let i = 341 - 341.171. Let q = v + i. Round q to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1275 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a - 53 + 67 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 2*b**2 + 2*b**3 + (5*b + 4*b - 4*b)*(0*b**2 - 2*b**2 - 3*b**2).\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (63\/(-18) - 2\/4). Let s(b) = -2*b**3 - 3*b**2 + 3*b. What is the remainder when s(w) is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 164556?\nAnswer: 1810116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -722 or -7946\/11?\nAnswer: -7946\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 1:53 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = 3*h. Let s(p) = 3*p - 7. Let k(d) = 7*d - 13. Let y(f) = h*k(f) - 11*s(f). What is the tens digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7458 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*b + 8, -2673*b = -2672*b + 5*u + 32 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-6.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 706255917 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001739862097 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185961.\nAnswer: 7, 19, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 + -110000101001001001?\nAnswer: -110000101000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 62208*c**2 - 28*c - 55. Let b be u(-2). Let i = b + -145933. Round i to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12730795 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(30)\/(sqrt(72)\/(sqrt(12) + sqrt(768)) + sqrt(6)))**2 - (sqrt(320)*-5 + -1)*-2).\nAnswer: -80*sqrt(5) + 41\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 620903259 divided by 1\nAnswer: 620903259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 + 0*u**2 + 5*u**2)*(-2*u + 4*u - 3*u) + 0*u**3 - 3*u**3 + u**3 + 7*u**3 + 306 - 306 to w*u**2 + f + y*u + p*u**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 227 (b) -4 (c) 3 (d) -1\/1156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 252*i**2 - 1539*i - 18252.\nAnswer: (i - 12)*(i + 6)*(i + 1014)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -187\/2*f**2 - 21*f**3 + 0*f - 1\/2*f**4 + 133. Find the second derivative of g(l) wrt l.\nAnswer: -12*l - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 1. Let o = -989 - -16815\/17. Which is the third biggest value? (a) -0.3 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -155. Let o(z) = -2*z**3 + z**2 + 7*z + 6. Determine o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827071087 to the nearest integer?\nAnswer: 28759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 499594747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16530 is divided by 8242?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(25)\/sqrt(5) + -5)**2 + sqrt(5).\nAnswer: -9*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 5. Let j(l) = -l. Let q(s) = -6*j(s) - 2*n(s). Let y be q(2). What is the least common multiple of y\/(-1) - (-4)\/(8\/26) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 45036, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -539839727 - -111?\nAnswer: -539839616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84\/5 or -1?\nAnswer: -84\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 150. Let m = u - -128. Suppose 4 = 4*d - 0. Solve -m*p = -p - d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) - sqrt(756)*1)\/(2*sqrt(28)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 406064, 1625518, 3657940, 6503330?\n\"Answer: 406484*n**2 + 2*n - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -302, -625, -948, -1271, -1594?\n\"Answer: -323*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -319*t + 13. Let s be d(-3). What is s rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2889.5199064 + -2918.191965201. Let z = w - 0.327946599. Let s = 29 + z. Round s to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 664*m - 314*m - 4 - 319*m in the form l + g*m and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 34.1. Suppose -k = -25*k + 24. Which is the nearest to 2\/5? (a) -2 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 9:45 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 9 = -7. Find the third derivative of 109*u**4 - 232*u**l - 20*u**2 - 48*u**2 wrt u.\nAnswer: 2616*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-6 + -20 - -19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111 (base 2) to base 8.\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(63\/(-12))*81\/(-162).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - b + 5*b = 34, -t - 5*b = -29. Suppose 4*v + 2*x - 4 = 0, 2 = 3*v + 4*x + t. Suppose -52 = -v*l - l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9979 micrograms in grams?\nAnswer: 0.0000109979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**4\/24 + q**3\/6 + 3*q**2. Let x be (-1170)\/208 - (9\/24 + 0). Calculate w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 12 = 3*t. Suppose j = -t*j + 108. What is the least common multiple of 15 and j?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4097 (b) 1\/109 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 - 116. Let y(k) = 8*k - 6. Let p(z) = 15*z - 11. Let s(x) = u*y(x) - 6*p(x). Let j(d) = -9*d**2. Determine s(j(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (14520\/(-308))\/((-27)\/4) + (60 - 67)\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 216, 761, 1812, 3537, 6104, 9681, 14436?\n\"Answer: 28*z**3 + z**2 + 8*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 4*o**2 - o + 1. Let y be n(-4). Let i(l) = 1 + 0 + l**2 + y*l**3 - 3*l**2. Let h be i(1). Solve -3*k + 2*d = -4*k, -4*d + 24 = -h*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttllttltmbbt. Give prob of sequence mbl.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -137, -149, -163, -179, -197?\n\"Answer: -t**2 - 9*t - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 6*s**4 - 8*s**3 - 24*s**2 + 32*s = 0.\nAnswer: -2, 0, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89230474*p**2 + 356369462*p?\nAnswer: -178460948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10150, -6.7, -0.3, 1\/16 in decreasing order.\nAnswer: 1\/16, -0.3, -6.7, -10150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 440 + -446. Let m(f) = f**2 + 4*f - 4. Let j(s) = -9*s + 9. Let w(n) = -20*n + 20. Let v(a) = -9*j(a) + 4*w(a). What is b*v(y) + 2*m(y)?\nAnswer: 2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (792\/10)\/((-15)\/(-100)) - 0. Suppose k - 2250 = -7*b. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*r**2*x**2 - 8*r**2*x + 3*r*x**2 + 2155752*r*x - 1829491*x**2 - 3 wrt x.\nAnswer: -42*r**2 + 6*r - 3658982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-5)\/(-15))\/(-4 - -3))\/(8\/120). Sort 9, 32, u, 0 in descending order.\nAnswer: 32, 9, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/12 + 82\/4. Let y be r\/6 + (-2)\/3. Solve -2*m + 7 = -y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4438295 and 4438269 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 18 = 3*d, -c = -2*d + 5 - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:43 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**36*h**(-1\/4)\/(h\/h**(-6)) assuming h is positive.\nAnswer: h**(-461\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850386 is divided by 24583.\nAnswer: 14564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 39*d**3 - 149*d**3 + 44*d**3)*(d + 0*d - 3*d)*(5 + d - 5).\nAnswer: 132*d**5 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1663641 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**2 + 2*z + 7. Let i(k) = 8*k**2 - k - 6. Let j(w) = -7*i(w) - 6*p(w). Let s(v) = -1051*v - 1054*v - 6*v**2 + 2091*v. Determine 8*j(y) - 3*s(y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -123197, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32893933181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*((-848)\/(-64) + -11)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-56))\/((-39984)\/(-5488)).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 22*i + 17*i = 60, 0 = 5*i + 45. What is the highest common factor of 3711 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 75, 134, 189, 240, 287, 330?\n\"Answer: -2*f**2 + 65*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - 116. Solve -p*f + 3*f - 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-28)\/9 - (-7236)\/486.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (11204 - 11216) + (1 - -27)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -23. Let g = 64 + m. Let k = 21.8 - g. Which is the biggest value? (a) -3\/5 (b) k (c) -2 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 17501682?\nAnswer: 17501682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -317377 - -5?\nAnswer: -317372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvd when three letters picked without replacement from {v: 1, e: 2, x: 2, q: 1, b: 5, d: 2}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1800065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5152 and 805.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -65, 2, -13\/17?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16888 - 16894. Sort q, 0, -0.3, -7 in ascending order.\nAnswer: -7, q, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**3\/3 - 1. Let n(w) be the third derivative of -w**4\/12 + 3*w**2. Calculate n(s(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**3\/6 - 10*k**2 - 26*k. Let a be j(14). Let l be 44\/a*48\/(-32). What is the greatest common factor of 110 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/38 - -219\/494. Let n = 1119485\/84 - 13327. Let h = n + -1\/28. What is the closest to 0 in 0.3, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115293997 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -1\/4*r**4 - 2*r**3 - 10*r + 0*r**2 + 1\/60*r**5 + 0. Let y(i) be the second derivative of j(i). Give y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 18 = 7. Suppose 3*l - 3*k = 57, 4*k - 11 - x = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9516 - 4957825\/521. Let x = f + -65191\/3126. Find the common denominator of x and 962\/(-288) - (-8)\/(-36).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (143\/(-572))\/((4\/608)\/(3\/6))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 21 (c) -1 (d) -0.487 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 21*c + 4. List the prime factors of j(5).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*s + m - 15, -s = 2*m + 3. Let w(p) be the second derivative of 0 + 1\/2*p**2 - 1\/2*p**3 - p. Give w(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 15. Let z(j) = j - 3. Let f(w) = -2*l(w) - 10*z(w). Let d(t) = -91*t. Determine d(f(b)).\nAnswer: 364*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/17 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 343 - -4593. Let j = g + -78937\/16. What is the common denominator of (-13)\/2 + (-4)\/14 and j?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4 - -3 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5724 - 5724. Solve 0 = -23*z + 25*z - 4*a - 10, c = a + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2. Let r(w) = -3*w**2 - 20*w + 20*w. Let y(s) = -7*s**2. Suppose -6 = 2*a - 2. Let t(l) = a*y(l) + 5*r(l). Give t(k(m)).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, 1\/7, 2\/9, 3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.379 - -1.079. Which is the smallest value? (a) -3 (b) q (c) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 680752 (base 9) to base 5\nAnswer: 101014041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 505, 3899, 13111, 31051, 60629?\n\"Answer: 485*j**3 - j**2 + 2*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-26 - -3) - (-10 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 0.1, -0.07, 232, 39, 2\/5?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 16) to base 2\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.5 in -0.1, 2\/17, 1\/283, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose -2*f + 3*x = -k*f + 13, -4*f = x + 3. What are the prime factors of (f + 3)*-2*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -9*r - 192. Let v = -2 + 51. Is v != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + (-4*sqrt(2448) - sqrt(2448)) + 3)**2 + sqrt(2448) - sqrt(136)\/(sqrt(8) + 6*(sqrt(8) - sqrt(56)\/sqrt(7) - sqrt(8))).\nAnswer: -1379*sqrt(17)\/5 + 39177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395175?\nAnswer: 5, 55807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/2697 + 2235\/1395)\/(10\/(-396))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323323 + 13103102?\nAnswer: 20033031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1623, -1659, -1695, -1731, -1767?\nAnswer: -1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let c be ((-4)\/6)\/((-16)\/24). Suppose 1 = d + 5. What is the biggest value in l, d, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.011 - 0.05. Let y = -75404.8 + 75404.76099958. Let a = y - i. What is a rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*w**3 + 7*w**2 + 23*w**3 - 43*w**2 + 2 to b*w**2 + f*w**3 + l*w + k and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63.4 + 8.4. Let f = u + 55.3. What is the nearest to 2 in 2, 4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -183, -184, -183, -180, -175?\n\"Answer: l**2 - 4*l - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -9989.\nAnswer: 6\/9989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 4:39 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/2827 and (-49634)\/(-120276) + -8*5\/90.\nAnswer: 16962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (sqrt(9)\/(sqrt(3) - sqrt(3)*-1) - sqrt(243)*3 - 2*(-2*sqrt(6)\/sqrt(2) - (-1 + sqrt(75)))))**2.\nAnswer: 25*sqrt(3) + 1879\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 7 - 4. Calculate the least common multiple of q and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 168 = 11*l. Let f(q) = q + 1. Let g(z) be the first derivative of -4*z - 12 + 18*z + 2*z**2 - 26 + 4*z**2. Give l*f(y) + 2*g(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24742 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 6. Let q(g) = -g**2 + 12*g + 20. Let b be q(14). Let w(p) = -p**3 - 7*p**2 + 8*p + 5. Let o be w(b). Determine h(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348 + -356. Let a(p) = 36*p + 292. Let x be a(c). Solve -2*z = -0*z - x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 21*c**2 - 17*c - 349. Does 24 divide s(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 2176 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - n + 0*n)*(-6 + 43 - 2) + 7*n - n + 4*n + (4 + 1 - 4)*(-2 + 2 - 2*n) in the form t + k*n and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 2. Suppose -270 = -50*o + 48*o. Let t be (o\/(-4))\/(11 + -17). Is h at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (697 + 749 + 843)*(25*f - 1 + 1 - 17*f) to the form a + o*f and give o.\nAnswer: 18312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (61\/(-183))\/((-3)\/(-2) + (-3)\/6). Suppose -2 = 2*l - 4*n, -2*l - 4 = 2*l + 4*n. Sort -4, 5, l, m in ascending order.\nAnswer: -4, l, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 14. Let o(d) = 2*d**2 + 3*d - 9. Let y be o(2). What is x(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and 1003.0405.\nAnswer: 1002.2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 10. Let i = -5 - r. Let k = i - 19.1. Which is the second smallest value? (a) -2\/7 (b) -11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aawwwwawwwwawwwwaw. What is prob of picking 2 w?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = -5*f + 2*k, 2*f + 4*k = -18 + 248. What is the remainder when 520 is divided by f?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzqdzrzzqrrrpqdrzr. What is prob of sequence zzzp?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 16. Let u = c + -12. Suppose -4*b = -u*b. Solve 5*t = 5*w + 10, b = w + 3*w - t + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*s + 300*s - 130*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 - n**3 + (0 + 6 - 2)*(2*n**3 - 2*n**3 + 2*n**3) + 3*n**3 + 2*n**3 - 4*n**3 - 3*n**3 + 4*n**3 + 0*n**3)*(n + 0*n + 5*n).\nAnswer: 54*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.2, 244.56?\nAnswer: 244.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b06d (base 15) to base 8.\nAnswer: 110554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y**3\/11 - 872*y**2\/11 - 3474*y\/11 - 4536\/11 = 0.\nAnswer: -9\/2, -28\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 33 - 773624*h - 165821*h.\nAnswer: -939445*h - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-10 + 4)) + -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0*d**6 + 0*d**3 + 0*d**5 + 0*d - 1\/70*d**7 + 1\/2*d**4 - 14*d**2 + 0. What is the second derivative of x(u) wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -319, -331, -345, -361?\n\"Answer: -u**2 - 9*u - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.723682 centuries in decades?\nAnswer: 97.23682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 38 = 12. Suppose -12 = -3*i, 5*p + 2*i = -0*i + 28. Solve 4*l - 8 = -4*v, 0 = p*v - 4*l + a + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59195 divided by -20\nAnswer: 11839\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4) + (-330)\/360)*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 5*t**2 - 5*t - 1. Let d be l(-4). Suppose -9*v + 60 = -d*v. Solve -3*n = 2*n + v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 5*b - 31 + 64, -z + 2*b = -14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3167 times 5?\nAnswer: 41.5835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11741559 to the power of 1\/2, to the nearest integer?\nAnswer: 3427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1169, -1257, -1347, -1439, -1533, -1629, -1727?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 24. Suppose -3*y - 3 = -5*g + 12, y + i = g. Solve -o + 2*w = -0*w - 11, -g*o = 2*w + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - p - 2*p. Sort -2, p, -6 in ascending order.\nAnswer: -6, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20528, -20526, -20522, -20516?\nAnswer: -20508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3024 + 3026. Solve -2*o = -p*s + 2, -6*s - 7 = -7*s - 2*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -48\/12763 (c) -1\/2 (d) 2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -660305\/7 and -94329 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9257856.\nAnswer: 2, 3, 24109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -2, 1, 3\/7, 20?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 63*u + 181. Let x(b) = -33*b - 90. Let l(m) = -4*w(m) - 7*x(m). Give l(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7427877 millennia?\nAnswer: 742.7877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*b, -4*b = 4 + 4. Suppose -4*z - 2 = 2*r, 5*r = 3*r + w*z + 34. Suppose -2*q + 2 = s, -q - q - 4*s = 4. Solve -r*f = -q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -441567, -441587, -441607?\n\"Answer: -20*l - 441547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31042420 (base 5) in base 12?\nAnswer: -1023b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - v**2 - v. Let q be n(-1). Suppose 0 = -4*h - q + 10. Suppose 75 = 3*f + h*f. Solve 5 - f = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/40 - 8\/32?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1015 + 1607 - 1082)*((-4 + 4 - 4*t)*(-5*t + 0*t + 4*t) - 3 + 2*t**2 + 3).\nAnswer: -2940*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 3*l + 2*l + 19, -3*l + 3 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 4*w)*(0*w + w - 2 + 1)*(32*w + 45*w - 34*w).\nAnswer: 43*w**3 - 43*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155002474 + 0.04.\nAnswer: 155002474.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j - 2. Let b(m) = -1. Suppose -1087*t + 4 = -1086*t. Give t*b(w) - 2*v(w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271221043?\nAnswer: 17, 15954179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from tweveexwtvlvevw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -51*v + 3865. Let x(t) = -115*t + 7731. What is -9*o(m) + 4*x(m)?\nAnswer: -m - 3861","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 25*y**2 - 44*y**2 + 40*y**2. Let i(f) = -3*f. What is i(a(w))?\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 1 = 5*p. Let t(x) = x**4 + 3*x**2 - x. Let m(s) = 0*s**3 + 8*s**3 - 6*s**3 - 3*s**3. Let o(c) = p*t(c) - 3*m(c). Factor o(y).\nAnswer: -y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k\/k**(-10\/7)))*k*k))\/((k\/(k*k\/(k\/k**(-3\/4)*k*k))*k)\/k))\/(((k\/k**11)\/k)\/(k*(k**(-2\/33)*k)\/k*k*k)) assuming k is positive.\nAnswer: k**(7171\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpp when three letters picked without replacement from vemptttpmhp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/2)*r**1\/r)\/(r**(3\/5)*r**(6\/5)) assuming r is positive.\nAnswer: r**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 18 and 1433396 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6.220402 - -69922500\nAnswer: 69922493.779598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {g: 1, y: 5, w: 3, o: 3, j: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*u - 109. Suppose l + 3*l = u. What is the units digit of (-2)\/2 - l\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08544 - 3.91456. Put b, 0, -0.07 in descending order.\nAnswer: 0, -0.07, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/8 and 233\/38 + -25 + 18.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, f: 12, m: 3}. Give prob of picking 1 f and 3 k.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by 1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0137 + 0.5137. What is the third smallest value in f, 7, 2\/5, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -2 + (3 - 2). Suppose 6*a - j*a - 2 = 0. Is 2 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 + 27*b - 80. Determine h(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8077 (base 13) to base 2.\nAnswer: -1010001000001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55\/64 + -107\/192. Find the common denominator of -1\/84 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = 5*c - 5*m, -2*c - 5*m - 259 = c. Let w = 136 + c. Calculate the remainder when w is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 130624992 = -4*m, 14*c - 10*c + 5*m - 104499990 = 0. Suppose 30*b + 25*b + c = 0. What is b rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.494*508\nAnswer: 1774.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -9*x - 198. What is the greatest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(175) - (sqrt(7) + 0 + sqrt(7))*6)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 8*m - 11. Let v be n(-10). What is the highest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 - 2 = 0. Let w(q) = -11*q - 16. Let z be w(-8). Let x be 1 - 4 - (6\/z + -3). Which is the nearest to 2\/7? (a) g (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 517, 2062, 4633, 8230, 12853, 18502?\nAnswer: 25177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 6\/101 (b) -2 (c) 4\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9449867 or 0?\nAnswer: 9449867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usdtudddy. Give prob of sequence uu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 4*d + d + 0 - 3*d**2 - 2 in the form r*d + p*d**2 + q + k*d**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 714 = -5*i + 650, i = 5*h + 51 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**2 - 27*u - 5. Determine k(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -4. Suppose 3*j + 9 = 0, a*j = -3*d + 129 - 6. Calculate the highest common divisor of 18 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0 + 1\/6*h**3 + 0*h**2 - 2*h. Let g(z) be the third derivative of 19*z**4\/24 + 1116*z**2. What is s(g(f))?\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**7\/h*h*h*h\/(h*h\/h**(7\/4))*h)\/(h\/(((h**(-1\/2)*h)\/h)\/h)*h)**(6\/13) assuming h is positive.\nAnswer: h**(475\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60 + 60 - 12*g**4 + 106*g + 27*g**4 - 106*g + (-2*g - 2*g**3 + 2*g)*(g + g - 4*g).\nAnswer: 19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31544420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.6 + -22.79. What is d rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2355 (base 6) to base 4\nAnswer: -20333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 14784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 300*a**2 - 3*a + 300.\nAnswer: 3*(a - 100)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(132)*1 - sqrt(132) - (sqrt(132) + -5*(sqrt(132) - 3*sqrt(132))))\/((-2*sqrt(588) - (sqrt(12) + sqrt(972)*-1))*-2)*4.\nAnswer: -13*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*g - 1. Let v(t) = t**2 + 7*t - 8. Let a be 24\/10*140\/(-42). Let f be v(a). Put 1, g, f in decreasing order.\nAnswer: 1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 833609, 833578, 833533, 833468, 833377?\n\"Answer: -y**3 - y**2 - 21*y + 833632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27670 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*v, -4*v - 5648 = 3*i - 183460. Is i a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4385, -4425, -4489, -4589, -4737, -4945?\n\"Answer: -2*f**3 - 26*f - 4357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -38, -34, 4, -2\/9 in descending order.\nAnswer: 4, 1\/2, -2\/9, -34, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08939 and 50?\nAnswer: 50.08939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-15)\/140*(8 - 1). Suppose 21 = f - 3*x, -3*f - h*x + 21 = -2*f. Solve -4*k - 16 = -5*y + f, -3*k = -3*y + 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24001003 (base 5) to base 8.\nAnswer: -653376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/20)\/(-2 + (-258)\/(-120)). Is q <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 1, c: 1, l: 1, f: 1}. What is prob of sequence cfrl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(-43*h + 21*h - 53*h) + 4*h - 2*h + 3*h.\nAnswer: -145*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 9, b: 1, w: 1}. What is prob of sequence wi?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 5315.\nAnswer: 5315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -50\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.63 + 5.83. Which is the closest to -0.1? (a) 1 (b) -3\/5 (c) y (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-19)\/(-19) + (-1 - -24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 82*m**2 - 78*m + 12. What is y(42)?\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 12*n + 1. Let i(y) = 2*y**3 - 10*y**2 + 66*y - 4. Let x(k) = i(k) + 5*u(k). Let j(f) = 3*f**3 + 11*f + 1. What is -3*j(v) + 5*x(v)?\nAnswer: v**3 - 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6766292.241701 minus 0.4?\nAnswer: 6766291.841701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -2, 44, 3\/8, 0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 + (-6)\/(-24). Suppose 2*p + o - 32 = d, -4*p + 0*p + o + 64 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093984 is divided by 364649.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 153*v - 144*v + 18 - 89*v**2 + 5. Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16611364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 13*a - 512. List the prime factors of 16239\/8 + 4\/a.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22614*k**2 + 447182 - 447184 - 8049*k**2.\nAnswer: -30663*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 + 1)\/(3 + -2). Let v(o) = o**2 - 2*o. Let t(k) be the second derivative of 5*k**4\/12 - 3*k**3\/2 + 4*k. Calculate g*v(f) - 2*t(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {m: 7, s: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l*(l*l*l\/(l*l\/((l*l**(-2\/39))\/l)))\/l)\/l))**45*(l\/l**(-6\/7)*l)**(-15\/2) assuming l is positive.\nAnswer: l**(-5835\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1322*t + 664*t - 247*t + 88*t.\nAnswer: 1827*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3 + 28*t**2 + 56*t + 32 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -11) + -8 + -10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/7 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119042257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(-17*l**2 - 13*l + 13*l + l**4).\nAnswer: -l**5 + 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*z + 5*z = 10, 9 = -3*m + 2*z. Let i be 8\/(-20)*(-10)\/(-2). Let w be i\/7 + 6\/70. What is the nearest to m in w, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20031 - 0?\nAnswer: -20031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.2. Let p = -0.0518 - -5.0518. Which is the closest to v? (a) -2 (b) p (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.426128mg to kilograms.\nAnswer: 0.000004426128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.244174 to 3 decimal places.\nAnswer: 1.244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c - 4. Let z be k(6). Suppose p - 72 = -2*u - 4*p, -5*u = z*p - 159. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/30)\/((-4)\/(-42)). Let x(p) = 6*p**4 - 8*p**3 + 14*p**2 + 14. Let o(u) = 2*u**4 - 3*u**3 + 5*u**2 + 5. Let a(d) = q*o(d) - 5*x(d). Factor a(v).\nAnswer: -2*v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g = 66*g - 101*g - 855 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 5*x - x)*(-20*x + 27 - 27 + 4*x + 2*x - 4*x + (-x - x + x)*(-2 + 0 + 1)).\nAnswer: -85*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 2937703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32, 12, -52, -184, -408?\n\"Answer: -4*t**3 + 2*t**2 + 2*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 8*y + 4. Let p be n(-8). Let l = p + -10. Let u be (9\/l)\/(2\/(-20)). What is the greatest common factor of u and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80)*1 - sqrt(80))\/sqrt(4) + sqrt(80)\/sqrt(4)*6)\/(-3*sqrt(90) - sqrt(810)*3).\nAnswer: -7*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3819 or 1?\nAnswer: -2\/3819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10*q**(-1\/5)*q)**(5\/4) assuming q is positive.\nAnswer: q**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(156\/(-81) - -2). Let y = -9 - g. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3744 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396473320?\nAnswer: 2, 5, 17, 34297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, 2, 4, 337?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w + 650*w**3 - 660*w**3 - w to t*w**2 + o*w + n + p*w**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 32917.\nAnswer: -46083.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/14*(96\/(-180) - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (-5)\/2*(0 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2938 is divided by 1458?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 4. Let k = -11 - -7. Let q be (-2)\/k + 22\/4. Let l(p) = 2*p + 5. Calculate q*x(h) + 5*l(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 1853 - 1849. What is the nearest to b in 0, -0.027, -1, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 11) to base 6.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsb when three letters picked without replacement from dbdcscdcdcscccbcs?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 6:35 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*v**2 + 580*v**2 - 361*v**2 - 78*v**2.\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**4\/12 + 6*n**3 - 49*n**2\/2 - 7*n + 4. What are the prime factors of g(28)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*s + 251 - 251 + (-13*s - 7 + 7)*(-1 + 0 - 1 + (-1 + 2 + 1)*(2 + 0 - 4) + 0 + 2 + 0 + (-2 - 1 + 2)*(0 - 1 + 0)) to the form i + n*s and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1134)\/sqrt(7) + (sqrt(8) + -3*sqrt(8))\/sqrt(4).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6.4. What is the closest to 0 in -3\/5, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.5 + -3.9. Let v = 35.8 - 36. What is the fourth biggest value in 0.5, u, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 3*l**2 - 4*l - 8. Determine u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeqmdqmqdddqqsemsq. Give prob of picking 2 d.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**6\/60 + j**5\/15 - 3*j**2. Find the third derivative of l(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1939293, 3878580, 5817867, 7757154?\n\"Answer: 1939287*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 355*h**3\/3 + 15*h**2\/2 - 67*h. What is the units digit of k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 3*w = 17*d - 16, 0 = d + 5*w + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4850 + -4953.35. Round c to the nearest integer.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/21*21\/(-6). What is the units digit of ((-1)\/6*7)\/(1\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 46*f + 20. Does 14 divide u(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2261654*t**3*u**2 + 204*t**2*u**2 - 2*t**2 + 2*t - 5*u - 1 wrt t.\nAnswer: 13569924*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.7 - -20.7. Suppose -4*j + 21 = 2*t - 11, -28 = -4*j - t. Let m(k) = -k**3 + 7*k**2 - 7*k + 9. Let f be m(j). Put -4, f, q in ascending order.\nAnswer: -4, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + (12 - (52 - 35))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 284391784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 10*m - 22. Suppose -10*s + 70 = -30. Let f be b(s). Suppose 4*a - a - 3*q - 267 = 0, 5*q = 2*a - f. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.7128 nanograms to milligrams.\nAnswer: 0.0000407128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24108 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098\/133 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/22))\/g**7)\/(((g*g**(-13)\/g*g)\/g)\/(g\/(g\/g**(-1\/5))*g*g)) assuming g is positive.\nAnswer: g**(973\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-160) - (-21)\/105\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 19*w**2 + 12*w - 13. What is h(20)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22375 - 0.2238849. Round l to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 2004, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - 1)*(-6)\/8)\/(3248\/(-45472)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/6)\/(-7 + 44\/6). Let g(z) = -1034*z + 9. Let a be g(j). Suppose 0 = -5*f + 3808 - a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 3 - 2*i**2 - i**2 + 2 - i**3 - 3 - 2*i**4 to the form x*i**4 + o*i**2 + s + c*i**3 + v*i and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -412, -487, -586, -721, -904, -1147, -1462?\nAnswer: -1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 9, b: 1, w: 6}. What is prob of sequence cbw?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 4004438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 169, -5, -12, -3.\nAnswer: -12, -5, -3, 5, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49220.84 years to millennia.\nAnswer: 49.22084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -30*p**3 - 133*p**2 + 3*p - 7. Give t(-3).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1)**(7\/3))**(-14)*(l**(3\/2)*((l*l**5*l*l)\/l*l)\/l*l)\/((l**(-2\/15)*l)\/l*l**(-5)) assuming l is positive.\nAnswer: l**(-507\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**2\/8 + 38607*g\/4 + 496833483\/8 = 0.\nAnswer: -12869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - 4*t - t**2)*(t + 0 + 0)*(-11 + 3 + 66) to the form d*t + x + s*t**3 + p*t**2 and give s.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 11*p**2 + 12*p. Let q be 2\/((-10)\/(-8) - 1). Let t be f(q). Find the common denominator of -11 and (8\/t)\/((-1)\/182).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 2853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2719002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 32 = z, 305 = 160*b - 195*b - 2*z for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4076895696 + -88963?\nAnswer: -88964.4076895696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 102. Let s(o) = o**2 + 9*o + 25. Let d be s(p). Suppose 5*m - d*i = 10, -3*m + 5*i - 4 = -5*m. Solve m*l - 3*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1872) + (-4 + sqrt(1872) - sqrt(1872)) + 1)*-2 + (5 + sqrt(1872) + 3 - sqrt(1872)) + -4 + -3)**2.\nAnswer: -336*sqrt(13) + 7539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 22*x**2 - 36*x - 144. Is b(-23) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -20 + 779378\/38640 - 74\/777\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:39 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*a - 4*w, 2*a - 7*w = -2*w + 4. Suppose g = -2*x - 6, x - 4*x - a = g. Let v be (1 + -1)\/(0 - 1). Which is bigger: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*z = 512 + 22 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/15)\/(26\/264 + (-14)\/77). Let j = -47\/5 - -10. Factor 4\/5*v**3 - 1\/5*v**2 + 0 - j*v**a + 0*v.\nAnswer: -v**2*(v - 1)*(3*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {p: 2, e: 7, x: 1, a: 7}?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 1b60a?\nAnswer: 1b607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-18917250)\/(-770) + (-56)\/(-49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*k - 26770362 = 0, -20077767 = -5*c + 2*c + 3*k. Suppose 0 = -4*h - c + 29092590. Round h to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/24 and -23\/417?\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 2*q**2 + 64*q + 20. Give i(6).\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 10)*(-1)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410\/5853 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p - 5. Let c be t(-4). Let f = -14 - c. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2833012.\nAnswer: 2, 7, 13, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(1300) + -2)**2*-2 + -1.\nAnswer: -46817 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 3 + 7*v**2 - v + 0*v**3 + 2*v**3 + 3*v to the form h + n*v**3 + m*v**2 + c*v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -3 + -2)\/((-6)\/16). Solve -5*y - b = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26150826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 549822 and 1703208.\nAnswer: 226526664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-4)*p**3\/p*p*p\/(p**(-6)\/p)*p*p*p*p\/(p**7*p))**(-2\/5) assuming p is positive.\nAnswer: p**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -501 (base 8) to base 7\nAnswer: -636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-1)\/10). Suppose c = n - 2. Let y(a) = 3*a**2 + 94*a - 116. Let b be y(-33). Calculate the highest common divisor of b and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -40*k - 284. Let u be w(-8). Suppose 2*p - 40 = -u. Factor -3\/7*z + 18\/7 - 13\/7*z**p + z**3 - 1\/7*z**4.\nAnswer: -(z - 3)**2*(z - 2)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02531 and 30?\nAnswer: -0.7593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 4*i + 3*i)*(767 + 7*i**2 - 767 - i**2 - 2*i**2 + 2*i**2 + (0*i - 4*i + 2*i)*(0*i + i - 3*i)).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - t**2 + t)*(447*t + 419*t + 422*t - 1412*t) as r + v*t**3 + x*t + f*t**2 and give v.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276 - 137 - 6*r**3 - 139 + 7*r**2 to v*r + s + q*r**2 + y*r**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -275 divided by -4\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, -26, -66, -122, -200, -306, -446?\n\"Answer: -k**3 + k**2 - 26*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t**3 + 332*t**2 - 1464*t + 1152 = 0 for t.\nAnswer: 1, 6, 48\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/9790400 and -43\/64?\nAnswer: 9790400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 95, 107, 125, 149, 179, 215?\n\"Answer: 3*g**2 + 3*g + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:09 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvk when three letters picked without replacement from {v: 9, q: 3, k: 5, c: 1}.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9))**50\/((v**(-11)\/v)\/v**12) assuming v is positive.\nAnswer: v**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9503.63 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d - 105*d - 4*c + 54 = 0, 2*d - 25 = -5*c for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = t + 11 + 11, 5*t + 18 = 3*k. Let w = -11 - t. Let n = -2 + w. Which is smaller: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 1 - 3. Let l(v) = y - 41*v**3 + 44*v**3 - 1. Let i be l(1). Solve -5*q + 2*t - 19 = 0, 2*q + i + 10 = 4*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16018560 divided by -2781\nAnswer: 5760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269873.\nAnswer: 401, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 103? (a) -6\/5 (b) 0 (c) 2\/53 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 410 + -12711\/31. Suppose -k - 28 = -8*k. Suppose 0 = -4*r + 4*m + 4, 0*m - 2*m = k. Is r less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -108. Let l(w) = 4*w + 7. Determine l(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 4877104608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = 0, -5*x - 26 = 3*t - 25. Suppose 21\/5*q**2 + 0 - 21\/5*q**4 + 6\/5*q + 3\/5*q**t - 9\/5*q**5 = 0. Calculate q.\nAnswer: -2, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 876 + -875.99995745. What is o rounded to 6 dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**2 + 3*k + 1512. Let h(o) = -12*o**2. Give h(n(s)).\nAnswer: -48*s**2 - 144*s - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 255256301?\nAnswer: 255256300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(300\/285) - -34?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/6, -3, -4, 4, -0.123?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(5\/2)*m**(-5))\/(m*m**(-2\/3))**18)\/(m**(-3)\/(m\/(m**0*m)))**(-7\/5) assuming m is positive.\nAnswer: m**(-127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -51, -91, -151, -237, -355?\n\"Answer: -l**3 - l**2 - 16*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {i: 5, d: 3, u: 1, b: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 + -384. Let h = r + 749. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26284836*n**3 + n**2 - 120779*n + 15 wrt n.\nAnswer: 157709016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2501?\nAnswer: 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(119\/14)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*b**4 - b**2 + 185*b**4 - 61*b**4 + 2*b**3 - 68*b**4 + 22 - b to c*b**4 + u + x*b**2 + v*b**3 + o*b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.9 or 1065?\nAnswer: 1065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.07 + -1.97. What is the closest to c in -3\/2, 8, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-297)*3\/1*(-41)\/(-82)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300395.1 - 300396.500009. Let h = -1.4 - v. What is h rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-184)\/(-96) - 2)\/(11\/4 + -5)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 19*c - 4*a - 10 = 0, -3*c = -a - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8604 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 830219064 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151858, 151862, 151866?\nAnswer: 151870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148.98 + -0.02. Let l = z + 149.1. Sort -2\/5, 5, l, -0.5.\nAnswer: -0.5, -2\/5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -4*1\/(-2). Let v be ((-28)\/35)\/((-2)\/(-5)). Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 4*p - 9. Let w(l) = 2*l**2 - 6*l + 2. Let c be w(4). Suppose -8*g = -6*g + c. Calculate the remainder when v(g) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(525\/(-20)) + 0. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*z - b, -17*b - 167 = -z - 31*b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 789793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/17 + 30*s**2\/17 - 54*s\/17 + 26\/17 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*m + 39*m + 20. Let g(d) = 19*d**2 - 8*d - 4. Is g(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjlb when four letters picked without replacement from {m: 1, k: 1, n: 2, l: 4, j: 4, b: 3}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/6)\/14 + 12\/(-2) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -4. Suppose -70 + 18 = -4*j. Calculate the greatest common factor of j and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.9 from 786479529.\nAnswer: 786479531.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - x**2 + x + 15. Let g be r(0). Calculate the common denominator of -95\/6 and (g\/(-18))\/(14\/90).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + c - 1. Let o(p) = -1 + 4 - 2. Let x(t) = 2*o(t) + 2*r(t). What is the second derivative of x(b) wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 + 11181*i**2\/5 - 22371*i\/5 + 11187\/5.\nAnswer: 3*(i - 1)**2*(i + 3729)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 18, 17, 6, -21, -70?\n\"Answer: -o**3 + 4*o**2 - 2*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13908*s + 20312.\nAnswer: -13908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-1 + -4*sqrt(72))*4)**2.\nAnswer: 34848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 - 336. Let v be 12\/32*(4 - -4). Which is the closest to v? (a) j (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 - o + 7. Let r(u) be the first derivative of u**3\/3 - 2*u + 2. Let b(i) = -7*r(i) - 2*t(i). Find the second derivative of b(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101000010100101 (base 2) to base 16.\nAnswer: 5d0a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/2 + (-1 + 223 - 3). Let l = 270 - u. Let a be (2 - 242)*(-4 + 3). Calculate the greatest common divisor of a and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/(-35) - 250\/42 and 101\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 9 = 68 + 263. Calculate the smallest common multiple of g and 2\/(-3) - (-41)\/3.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259 - 262. Put 19, -5, l in decreasing order.\nAnswer: 19, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyiwfwiiiiwiilw. What is prob of sequence wfl?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 164668, 658692, 1482062, 2634778, 4116840, 5928248, 8069002?\n\"Answer: 164673*w**2 + 5*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 + 527*q**3 + 1572*q**2 - 4*q - 2096 = 0. Calculate q.\nAnswer: -524, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -104*c - 3674. Let z be i(-7). Is z at most -2947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/74328 and 13\/280.\nAnswer: 2601480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01453*-0.9.\nAnswer: -0.013077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625 at least 2612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 3.6491.\nAnswer: 25.5437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 1, w: 1, v: 1, d: 1, i: 2}. Give prob of picking 1 c and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*z = -9, 0*q + 4*z + 26 = 2*q. Solve 3*g + 2 = 4*g - 3*k, 12 = q*g - 3*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 29) + 32 - 59.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5005150.7599 and -7752.\nAnswer: -5012902.7599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 3. Let g be (i + 1)\/((-3)\/24). Suppose 4*u - g - 28 = 0. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -388387*o**2 + 54410*o - 7.\nAnswer: -776774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c**4 - c**3 + 11*c + 11. Let y(v) = v**4 - v - 1. Let p(i) = 4*m(i) + 44*y(i). Factor p(z).\nAnswer: 4*z**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 7. Let u(v) = v + 6. Give -3*f(y) - 2*u(y).\nAnswer: y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 131 = 186 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18964791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 23 = 3*l - 0*l, -5*l = -5. Suppose 652 = g*o - o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {p: 10, k: 3, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 4*w**2 - 10*w + 12.\nAnswer: 2*(w - 3)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175347715 and 35?\nAnswer: 1227434005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxx when three letters picked without replacement from {n: 2, i: 8, r: 1, x: 5}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17817.73 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -3\/4, 9\/2, 0, -430?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110574 divided by -55287.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000101 to 7 decimal places.\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*w - 37205, 3*i - 4*w - 28972 = 82695. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((-117)\/104)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 + 3 - 4) + (1 + 6 - -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21020 - 2201101?\nAnswer: -2110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10\/7)\/r*r*r**14)\/(r*r**(1\/2)*r)**(2\/89) assuming r is positive.\nAnswer: r**(7797\/623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -222404 (base 5) to base 11\nAnswer: -59a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 554883 and 63?\nAnswer: 1664649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (54\/(-45))\/(1 + -3). What is the second biggest value in 2, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 536270790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1946698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:58 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 8. Let q be (1 + 0\/2)\/(14\/(-4)). Which is the closest to -2\/5? (a) f (b) q (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 735 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 20 = -4*t, 3 = 2*t - 2*s + 7 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 8*c - 7. Let j be y(6). Suppose -j = -m - 3. Let s(v) = 0*v**2 - v**2 - v**m. Let f(t) = -5*t. What is s(f(q))?\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-5) + -4 - (8 - 9). Solve 4*z - n*q = -17 + 5, 5*z - 5*q + 20 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.43 - 0.83. Is 3 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279601001193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2 + 5. Let p = 335 + -340. Let q(o) = -3*o**2 + 2. Let b(v) = p*q(v) + 2*c(v). Let t(s) = -8*s**2 - 3*s. What is 6*b(l) + t(l)?\nAnswer: -2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(8 - 8 + h) + 4*h + h - 2*h - h + 2*h - 3*h + (4 + 4 - 6)*(h + 0*h - 3*h) - 8*h + 0*h + 0*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2933570580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14989 - 3c?\nAnswer: 1494c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -87*b**3 + b**2 - b - 1. Suppose 32*t - 7*t = -550. What is the remainder when d(-1) is divided by -1 + (-18)\/t - 870\/(-66)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269 a factor of 3866705344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3333225 and -0.22.\nAnswer: 733309.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 - 822252.622\nAnswer: -822252.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2163321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-19)\/5 - 24\/120 - -18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10451453, -10451404, -10451357, -10451312, -10451269, -10451228, -10451189?\nAnswer: -10451152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 10:11 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512)*-2*-6*6)\/(sqrt(16)\/(sqrt(32)\/sqrt(128))*4).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12102 (base 3) in base 16?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*m - 20, -2*h + 4*m = -4 - 12. Suppose -h*c - 6*c + 23076 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 - (-64 + 57 + 133).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k**5\/5 + 712*k**4\/5 + 3472*k**3\/5 + 4192*k**2\/5 + 768*k\/5 = 0. What is k?\nAnswer: -2, -2\/9, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j + 2 + 3 - 2. Let g be a(-2). Let t be 12\/(-3) - g\/6. Which is greater: 4\/5 or t?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 9*t**2 - 6*t - 15. Let x be g(8). Let u(z) = -4*z**2 + 3*z - 1. Let p(q) = q**2 - q. Give x*u(b) + 5*p(b).\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -10 + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -749\/819894 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 386*q**2. Let y(w) = -771*w**2. Calculate -5*p(c) - 2*y(c).\nAnswer: -388*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568304?\nAnswer: 2, 11, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m\/(m\/m**(-2\/7))*m*m))))**(2\/131))**(11\/2) assuming m is positive.\nAnswer: m**(-55\/917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -106, -24, -411\/26 in decreasing order.\nAnswer: 0.1, -411\/26, -24, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/44 + (-816)\/1540. Let z = a - -9\/35. Let v = 4591\/1200 - -3\/400. Calculate the common denominator of z and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 6\/3 - -57. Find the common denominator of -103\/10 and d\/50*(-4)\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**2 + 9*a + 23. Let q(u) = 6*u**2 + 8*u + 26. Let o(k) = 4*q(k) - 5*s(k). Give o(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1487*j**3 + 51*j**2 + 9*j + 5. Let h be l(-45). Round h to the nearest one million.\nAnswer: -135000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*i - 13818 = -1498*i + 89727 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011001111101010101 - 101?\nAnswer: 1101011001111101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 2*i. Let w(g) = -3*g**2 - 3*g. Calculate 6*w(j) + 11*z(j).\nAnswer: 4*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 0.3, 3, 7\/6, 0.\nAnswer: 0, 0.3, 6\/7, 7\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23762 is divided by 1485.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 + 42*s - 78. What are the prime factors of i(-26)?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1528, -6450, -14450, -22484, -30564?\n\"Answer: -2*s**3 + s**2 - 7967*s + 9496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.81893ms in hours?\nAnswer: 0.000007171925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvuvuuvvv. Give prob of sequence vvuu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -3 + -3 + (-18 - -2) - (3 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d - 10. Suppose d = 5*a - 5*j - 29274363 - 8225612, 0 = 2*a + 2*j - 15000010. Round a to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 = -4*z, 2 + 0 = -4*z + j. Suppose -y + 2*s + 190 = z, 12*y - 8*y + 4*s - 736 = 0. Does 36 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/24 and -145\/3196296.\nAnswer: 3196296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 7*y - 12 + 27 - 57*y**2 + 65*y**2.\nAnswer: 8*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avvx when four letters picked without replacement from {a: 3, v: 5, x: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 63*r - 69*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 1\/5, 3\/8, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c - 5*b + 63 = -45*c + 2, 3*b + 91 = -4*c for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*q + 7 = 3*y, 5*y + 7 = 4*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 3*c**2 - 3*c**2)*(-2*c + 0 + 0) + c**3 + 0*c**3 + 2*c**3 + 32*c**3 - 39 + 39.\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/(-10)*8\/(-6). Suppose g + 6 = -4*x + 4*s, 0 = 5*x + 3*s + 47. Let b be 2\/(-7) - (-453)\/x. Round b to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966201 to the power of 1\/2, to the nearest integer?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*s - 361 + 37. Let k be (-18)\/s*(-192)\/(-18). Solve -3*w - 4 + k = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-77)*(-6)\/(180\/(-30))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -6*f - 19. Suppose 3*v - 2*p = 230, -4*v + 280 - 4 = f*p. Calculate the common denominator of (-10 - -6)*1*v\/36 and 91\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -32*q. Let j(z) = -9*z**2. Give g(j(s)).\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5419.8 + -5420. Which is the second biggest value? (a) -29.2 (b) -0.02 (c) y (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40936 by 17.\nAnswer: -2408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3863.042mm?\nAnswer: 3863042000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - z**2 - z**2)*(-1 + 0 + 0) + 2*z**2 + 2*z**2 - 5*z**2 - 2*z**2 - 5*z**2 + 5*z**2 + (-z - 4*z + 0*z)*(4*z - 6*z + 4*z).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -131527759 and -1550.\nAnswer: -131529309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26585 divided by 404?\nAnswer: 26585\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*(((x*x\/(x\/(((x\/(x*x**(-4)))\/x*x)\/x))*x)\/x)\/x)\/x)))\/x**(-9\/7))\/(x**(-1\/2)*x\/(((x**(-1)\/x)\/x*x)\/x)) assuming x is positive.\nAnswer: x**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -17*n**6\/120 + 5*n**4\/24 - 27*n**2. What is the second derivative of k(i) wrt i?\nAnswer: -102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o**2 - 11*o + 7. What is the remainder when c(-3) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 52, 55?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310402 - 202559 = -6335*o - 272257 for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*k**3*y*z - 105*k**3*y - 43*k**2*z + k**2 + 7*k*z - 2*y wrt k?\nAnswer: -648*y*z - 630*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:13 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1764 divided by -3\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18219177 or -0.1?\nAnswer: -18219177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3381 + 81133\/24. What is the common denominator of m and -143\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24271151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = -4. Solve 0*h = u*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -177*r**2 + r. Let b be c(-1). Let f = b - -401. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {b: 3, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 626234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**4 - 67*n**3 + 404 wrt n.\nAnswer: 8*n**3 - 201*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-384)\/168)\/(100\/350)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*u**2 - 28275 - 2*u + 0*u + 28275 - 2*u.\nAnswer: 132*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32324369.5 and 148473.\nAnswer: -32175896.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 139. Does 49 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2436045*r**2 - 8 + 19.\nAnswer: 2436045*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3668, 9109, 14550, 19991, 25432, 30873?\nAnswer: 36314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 - 2*y**2 + 0*y**2)*(-13 + 13 + 5*y) as q*y**2 + k*y + i + s*y**3 and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -123*j - 8. Let l(h) = 247*h + 15. Let x(i) = 2*l(i) + 5*p(i). Is x(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.364131 minus 0.3?\nAnswer: -95.664131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124023 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424809894.\nAnswer: 2, 13, 31, 3008449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41.88263 + 268086.\nAnswer: 268044.11737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*i - 1601 = 0, -2*i = -4*u + 4075 - 933. Calculate the smallest common multiple of u and 28.\nAnswer: 5516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-895)\/(-17721)*(442\/65 + -5).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87143.55ml to litres.\nAnswer: 87.14355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4409 - 3614. Solve -779 = 4*w - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-6 + 4 - (0 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -39 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 4 = 15*q. Solve 0 = q*g - 5*d - 3, -2*g - d - 15 = 2*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 372 = -372. Solve -d = -4*r - 7, -2*d = -2*r + 4 - c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 41*u**3 - 139*u**2 - 57*u - 26. Let d(v) = 21*v**3 - 76*v**2 - 29*v - 14. Calculate -11*d(m) + 6*h(m).\nAnswer: 15*m**3 + 2*m**2 - 23*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtwrrttitttddyy. What is prob of sequence wd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233434, 233626, 233818, 234010, 234202, 234394?\nAnswer: 234586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**4\/16 - 97*q**3\/12 + 2655*q**2\/8 - 14175*q\/4 - 1603. Factor r(p).\nAnswer: (p - 45)**2*(p - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984 + -3.22?\nAnswer: 1980.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51692 - 0.5.\nAnswer: 51691.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzuj when four letters picked without replacement from {j: 2, z: 2, u: 5}.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 48\/483613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q + 146*q - 71*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318008?\nAnswer: 2, 127, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 16 + 16. Suppose -5*i = 5*c - 35, -2*c + 1 - 11 = -g*i. Let h(o) = -o**3 + 4*o**2 - 4*o. Calculate h(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6439068 and 1512?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - h + 1 = 0, -11*a = -13*a - h + 9. Solve -a*d + 16 = -10*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6119 - 5911 = 13*y. Let f be ((-44)\/6)\/(1\/(-3)). Suppose -2*o = -o - f. Calculate the least common multiple of y and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 8, 18, 46, 98, 180, 298, 458?\n\"Answer: c**3 - 9*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*3\/9 - -6. Suppose 5*r + g + 7 + q = 0, 4*r = g - 5. Let n be (8\/(-5))\/(r\/10). Let w(y) = 5*y + 5. Let u(j) = 3*j + 3. Give n*u(v) - 5*w(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3513, 3516, 3529, 3558, 3609?\n\"Answer: o**3 - o**2 - o + 3514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -4*u**5\/5 - 2*u**4 + 4*u**3\/3 + 4*u**2 + 5. Factor c(a).\nAnswer: -4*a*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.51529127 and -1216.18.\nAnswer: -1214.66470873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111559419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -123052.122 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*y**4 - 23 + 13 - 37 - 16*y**2 + 46*y**3 + 4*y**2 - 22 wrt y?\nAnswer: -168*y + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 389.\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**2\/2 - 6*l - 2. Let q be b(-10). Is q\/(-12) + (-1722)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-40 - (-42 + 1))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {d: 1, c: 1, i: 2, u: 1, q: 2, y: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a = -24*a - 88. What is the remainder when 39 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -690137*z**2 + 12*z + 14574.\nAnswer: -1380274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*u**3 + 133*u**4 - 18 - 85*u**4 - 57*u - 69*u**4 + 39*u**2 = 0. Calculate u.\nAnswer: -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12331030330 (base 4) in base 15?\nAnswer: 26049d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -236, -187, -108, 7, 164, 369?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.11452 or -8?\nAnswer: 0.11452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -239, 0.1, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (-171 + 161) - 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*d + 382 = 0, 2*j = 3*j - d - 191. Let y = 153 + j. What are the prime factors of y?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 45*q**3 - 76*q**2 + 76*q + 1. What is the remainder when 174 is divided by j(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3050 + 17254. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 361. Let f(p) = 3*p - 241. Give 7*f(g) - 5*n(g).\nAnswer: g + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310566 is divided by 4139.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 39 = z. Suppose -s = -0*s - z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -73 (b) 952 (c) -2\/3 (d) -5 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95852605 to the nearest integer?\nAnswer: 9790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4 + 49*n**3 - 393*n**2 - 49*n + 392 = 0. Calculate n.\nAnswer: -56, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16524025*d**4*z - 3*d*z**2 - 65805307*z**2 wrt d?\nAnswer: 66096100*d**3*z - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**0*p)\/p))**(-8\/17)\/((p*p\/p**(1\/4))\/p*p**6)*(p\/(p**(-2\/5)\/p))\/((((p\/(p*p*p*p**(-6)))\/p*p*p)\/p)\/p)*p**(-4)*p**(-5) assuming p is positive.\nAnswer: p**(-5719\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.1519 meters to centimeters.\nAnswer: 2615.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165986, 165992, 165998, 166004, 166010, 166016?\nAnswer: 166022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -1769, -5687, -13141, -25265, -43193, -68059, -100997?\nAnswer: -143141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13411664 (base 8) to base 15\nAnswer: -3e9ad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6231*96\/(-72)*(-1)\/4.\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 8:58 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/17)*w**7*w)**(-36) assuming w is positive.\nAnswer: w**(-5580\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140.34 - 140.4. What is the nearest to -2\/13 in -1, 2\/5, b, -0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0 + 0)*-1. Suppose 18 = -3*c - a. Let y(q) = -7*q. Let u(s) = 0 - 8*s + 0. Determine c*u(d) + 7*y(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -9) + (-1 - -1). Solve -6*g - 8 = -o*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z. Suppose 126 = 3*i - z*i. What is the remainder when i is divided by 10\/(-25) - (-154)\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 12404?\nAnswer: 12412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (287 + 19 - 13)*(2*a - 5*a + a).\nAnswer: -586*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -5 in descending order.\nAnswer: 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 151585519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*a + 10, -15 = 5*b + 2*a + a. Suppose 6 = -n + 5*j, b = -n + 2*j - 3*j + 6. Suppose -n*u + 23 = -1. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-4)\/(-42)*7?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146266 is divided by 299?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340387 is divided by 113456?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2068, -2103, -2154, -2227, -2328?\nAnswer: -2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -523, -0.99, -4\/3?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {c: 2, p: 1, j: 1, t: 1, m: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-12)*-3*5\/(-170)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -257527937 + 1?\nAnswer: -257527936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3 - 4 + 6 + 2. Let x(p) be the first derivative of p**2 - 5*p + 4. What is 4*s(c) + x(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.4 + -24. Round f to 0 dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 758286\/(-30266) + 2\/37\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142406021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 27*c + 37. What is u(12)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8683617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - 0.8. Let j = 2.4 + i. Is 2\/3 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -33*n**2 - 11. Let i(r) be the first derivative of 8*r**3\/3 + 3*r - 501. Give 6*c(p) + 22*i(p).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/22304 and -89\/2624.\nAnswer: 44608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/120 and -95\/4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27168053*m**2 - 22011039*m wrt m.\nAnswer: 54336106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 2*n**5\/5 - n**4\/6 - n**3 - 27*n**2. What is the units digit of x(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244346526 to the nearest integer?\nAnswer: 15632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20 + 65*v**2 - 192*v**2 + 63*v**2 + 66*v**2 + 53*v**3 wrt v?\nAnswer: 159*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2. Let l(o) = -341 - 10806*o - 229 + 570. What is y(l(x))?\nAnswer: 116769636*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98581.46l in millilitres?\nAnswer: 98581460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1382505 or -9677533\/7?\nAnswer: -1382505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*k*v**2 - 3*k - 27*v**2 - 4*v wrt k.\nAnswer: -77*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3156*f**2 + 457*f**2 + 6 - 275*f**2 - 3 - 3.\nAnswer: -2974*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2386 (base 13) to base 9.\nAnswer: 6777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-24)*-22)\/(52\/208)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -2)*((-45)\/(-10) - 4). Solve -4*g - 2 - 2 = v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 - 50996*k + 916631. Give h(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1030.53785 - -11.142\nAnswer: 1041.67985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -42. Let f(n) = 4*n + 4. Let o be f(c). Calculate the common denominator of o\/10 - 310\/225 and -39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28 (b) -3 (c) -2\/21 (d) -0.1 (e) 917\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111201 - 201000?\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != -69594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2044 - -54?\nAnswer: -1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32269 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 2:09 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 234\/27*(-3)\/(-2). Suppose -7 = -5*m + j. Calculate the smallest common multiple of m and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j + 3*s + 3, 2*j + 7 = s. Suppose 2*f - 2*c - c = -13, -4*f + 4*c = 20. Let n be (-6)\/(-2*f\/j). Round n to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4525.387 days to microseconds.\nAnswer: 390993436800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*3*(-10)\/24.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 y when four letters picked without replacement from {g: 12, y: 3}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1791333 and 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -513.282 - -513. Let s = 0.2819999941 + m. What is s rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/((a**(-2\/5)*a)\/a)*a)\/a*a*a)**(6\/11)*a**(3\/5)*a**(2\/11) assuming a is positive.\nAnswer: a**(35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 10\/31, -0.3, -5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/15 - -23\/30. Let h = 1.7 + -1.58. Let f = 0.08 + h. Sort f, 3, n.\nAnswer: f, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 10. Let g be v(-6). Let n(i) = i. Let q(y) = -2*y. Let t(w) = g*n(w) + q(w). Let a(r) be the second derivative of 5*r**4\/6 + 19*r. Give t(a(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 4*n, -3*n = -s. What is the lowest common multiple of 18 and 66*(1 - s)\/3?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 23 - 21 = 3*o, o + 2*i = 14. What is the lowest common multiple of o and 629?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/(-76)*(-8)\/30\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/3 + 819*x**5\/8 + 7115*x**4\/24 + 675*x**3\/4 - 1015*x**2\/4 - 24*x. Find f, given that o(f) = 0.\nAnswer: -203, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 3, z: 2, s: 1, t: 1, l: 3}. Give prob of picking 1 k and 1 j.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -451.\nAnswer: 90.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 = 1. Let i = h + -1. Suppose 32 = 4*g - i*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 4)*(-3 + 0 + 6)*(-3*d + 3*d - 3*d)*(3*d - d - 3*d)*(19*d + 46*d + 65*d) in the form q + z*d + r*d**3 + m*d**2 and give r.\nAnswer: 2340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**3 - 2845*n**2 - 5655*n + 8505 = 0. What is n?\nAnswer: -567, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 16038?\nAnswer: 1\/16038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3985 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*g + 13, 0 = -3*g + 5*t + 19 - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 1\/5, 3\/5, 10, 98, 0.9.\nAnswer: -8, -2, 1\/5, 3\/5, 0.9, 10, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - u + 4. Let h(b) = 2*b + 25. Suppose 4*a - 18 = 5*m + 21, -5*m + 2*a = 47. Let x be h(m). Give r(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*f + 4*f + 20, 5 = -f + 3*c. Let n(k) be the first derivative of -3*k**4\/2 - 228. Let b(g) = -3*g**3. Determine f*b(h) + 3*n(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, s: 5}. What is prob of picking 4 n?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 217677376 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f**2 + 15*f - 3. Let h(z) = 3*z**2 - 4*z + 1. Let b(d) = 2*a(d) + 9*h(d). Let p be b(6). Suppose -4*w = p - 19. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsjq when four letters picked without replacement from {y: 2, m: 1, q: 5, l: 6, j: 3, s: 2}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 10614.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -1\/10*u**5 - 28 + 0*u**6 - 3\/7*u**7 + 0*u**2 - 1\/2*u**3 - 2*u + 1\/3*u**4. Find the third derivative of o(r) wrt r.\nAnswer: -1080*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1154*o**3 + 14*o**2 - 8*o + 14. Let h(t) = -231*t**3 + 3*t**2 - 2*t + 3. What is -14*h(n) + 3*w(n)?\nAnswer: -228*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a = -39*a - 5*z + 10, 0 = -5*a - 2*z - 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0 + 3*k + 3 + 1. Calculate the remainder when s(9) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from nqeneqnnnnnqnnnnne.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -160.5, 1\/6, 10\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 0, -1\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 233639, 233657, 233683, 233717?\n\"Answer: 4*q**2 + 6*q + 233629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 16*w**2 - 482*w + 331. Calculate v(29).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 10827?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-10)\/(o*o**(1\/3)))\/(o**(3\/8)*o\/(o\/(o**(2\/9)*o))))**44 assuming o is positive.\nAnswer: o**(-10241\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03024 to four decimal places.\nAnswer: 0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.33643 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = -860. Calculate the remainder when u is divided by -15*4\/(-18) + 2201\/93.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-187)\/(-605) - (3\/(-33) + 0). Let z = -124 - -129.92. Let v = z + -6. Is i at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 12 = -22. Let r = -5 + 11. Let k be (22\/(-77))\/(4\/r). Sort y, 5, k in descending order.\nAnswer: 5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50083 is divided by 315?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-6)\/(-21) + 1900\/(-35)). Let u = a - 50. Suppose 20 = u*s - 0*s. Solve -s*v = -6*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9842?\nAnswer: 2, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/5133364 and 103\/18532?\nAnswer: 5133364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 2*t + 5. Let g = 3 + -10. Let w = -12 - g. Is j(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2851.32 - -11.484\nAnswer: 2862.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18 and -12377931.\nAnswer: -12377949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5500) + -4*(sqrt(5500) + (2*sqrt(5500) - sqrt(5500)))))\/((sqrt(1584) - (sqrt(1584) - (5*sqrt(1584)*1 - sqrt(1584))))*6).\nAnswer: 35*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 415 - -166?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*t**2 - 202*t**2 - 167*t**4 - 132 + 392*t + 73*t**2 + 171*t**4 + 120*t**3 = 0 for t.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, -2\/11, -31, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 8, -1.6, 4, 1137?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400748 is divided by 1061.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -0.4, -0.8, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 863 - 865, -3*w - 5*h + 62 = 0. Let y(v) = v + 7 + 5 - 8*v**2 - 9 + v**3. Let q be y(8). Solve 5*r - 3*p - w = 0, -2*p + q = 4*r - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/30)\/((-3300)\/250).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14122192 divided by -2.\nAnswer: -7061096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 1 - (-8359 + 8339)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 3)\/(12\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2133 + 11055. What are the prime factors of u?\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 51*w + 2. Let g(a) = 17*a + 1. Let u(q) = -7*g(q) + 2*h(q). Is 6 a factor of u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5405732 rounded to 3 decimal places?\nAnswer: 0.541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-33)\/(-18) + -2)*-3. Let r = -6.455 - -0.155. Let q = 6 + r. Which is the nearest to i? (a) -0.4 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 1, h: 1, s: 1, x: 2}. Give prob of sequence zxx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123 - 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/72*99)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 25, -3*m + 7*m = 4*x - 536. Let b = 350 + m. 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 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -233 - -64. Let m = 679\/4 + o. Suppose 28 - 8 = 4*f. Which is the closest to -1\/3? (a) f (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -545 + 6541\/12. Is s at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -385 - 538. List the prime factors of b.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6 = 2. Let t = 2 + q. Let s be t\/(-2) + 2 + 61. Calculate the greatest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33731 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 120. Let v = o - -145\/3. Which is the closest to 1? (a) 2 (b) -0.6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fll when three letters picked without replacement from {a: 1, f: 5, l: 12}.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -123, -457, -1131, -2259, -3955?\nAnswer: -6333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 7:29 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/24 and 31\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/13))\/(f**9\/f)*f**(2\/25)*f**(-2\/7)*f assuming f is positive.\nAnswer: f**(-14293\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -47319*-0.1\nAnswer: 4731.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 322*b**3 + 1575*b**3 + 0.\nAnswer: 1253*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1768412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**3 - 3*g**2 - 6. Let j(u) = 12*u**3 - 7*u**2 - 13. Let b(x) = 6*j(x) - 13*n(x). What is the third derivative of b(s) wrt s?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 2*a - 5*a - 13 + 12 + 1680*a**2 - 1681*a**2. Let y(z) = z**2 - 18*z + 2. What is 2*u(b) + y(b)?\nAnswer: -b**2 - 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8.7 (b) -0.1 (c) -3881\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50202 by -2.\nAnswer: 25101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/43 + 4625\/258. Let w = -1\/5237 - -308993\/52370. Calculate the common denominator of o and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*r - 606, -2*f + 5*f + r = 909. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from vlbv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6889 - 6884. Solve -4*y = c*y - 12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1 - (32 - 21)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2) + (38\/4 - 7). Solve -z - 8 = -9*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/5, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176 - 70. Let h be w\/(-2765) + 4\/14. Let t = h + 2\/79. What is the nearest to t in -4, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -7) + (-2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85489 or -2?\nAnswer: 85489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27856\/116275 - -2\/4651. Let u be -2 + (-2 - 32)*(-23)\/2. Let j = u + -390. Which is greater: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1 (b) -60 (c) 1\/6 (d) 11\/5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - (-1 + (6 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - -0.9. Let y = j - 0.7. Let h be 4\/(-6) - (-9)\/27. Which is the third smallest value? (a) h (b) y (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*j - 3579, -7*t + 2145 = 3*j - 6*t. What is the greatest common factor of 102 and j?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631428169 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/40 + q**4\/6 - q**3\/4 + q + 18. What is a in u(a) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126900 - 125493 = -201*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (201 - 201 - 27*g**3 + 2*g**4)*(55 + 17 + 71) to i + d*g**4 + y*g**3 + v*g**2 + f*g and give y.\nAnswer: -3861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 40*u + 52. Let s be c(-1). Suppose 0 = 9*w - s*w + 90. What is the highest common divisor of w and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/26828 and -99\/304?\nAnswer: 107312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23522*k**2 - 11771*k**2 - 11771*k**2.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3035570 to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 6*x**2 + 4. Let l be q(-6). Let w = 4 - l. Factor 0*k + 1\/4*k**2 + w.\nAnswer: k**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64173 (base 13) to base 2.\nAnswer: 101100000011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44930, -363992, -1230014, -2916476, -5696858, -9844640?\nAnswer: -15633302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16856 is divided by 16513?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 4, u: 1, i: 2, l: 2, g: 2}. Give prob of picking 1 m and 1 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, 3, 2 in decreasing order.\nAnswer: 3, 2, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*v - v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 58*i**3 + 13*i**2 - 208*i - 190. Let l(u) = 21*u**3 + 4*u**2 - 75*u - 63. Let h(v) = -4*f(v) + 11*l(v). Give h(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 193?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35894 + 16*d**3 - 35894.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -24*n - 192. Let t = n + 194. Solve -t*u - 3*u + 14 = -f, 3*u - 8 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**3 + 8*h**2 + 8*h. Let b = 225 + -226. Let x(l) = -l**3 + l**2 + l. Determine b*i(f) + 8*x(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -287*v + 284*v + 2349, 3*s + 3*v = 1407. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18853 and 1351.7.\nAnswer: 25483600.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1549 divide 22696758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1499 - -1498. What is the second biggest value in y, 2, -146, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300 - (-2 - (-5 - -3))\/2?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddsd when four letters picked without replacement from {d: 9, s: 7}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9282\/1904)\/((-2)\/(-4)). Let x(d) be the first derivative of -q*d**4 + 0*d**3 - 3*d + 24 + 0*d**2. What is the derivative of x(r) wrt r?\nAnswer: -117*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*f + 128 - 1, 5*f = 2*r - 77. Calculate the remainder when r is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvaggaggalvvlgvglv. Give prob of sequence alag.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7\/3)*i*i**(8\/3))\/(i**(-1)*(i\/(i*i\/i**(-2\/19)))\/i*i) assuming i is positive.\nAnswer: i**(196\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -25. Find the common denominator of 10\/45 + 7\/36 and (-26)\/143 - l\/((-132)\/1651).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6 + 4. Solve -m*k = -4*w + 17, -3*w - 31 = k + 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**3\/3 + 3*n**2\/2 + n - 1. Suppose 4*k - 9*k = 25. Is s(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2450 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 550 = -6*b. Let o be b\/(-4) - (-21)\/28. Let q = -18 - o. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -239, -226, -193, -134, -43?\n\"Answer: n**3 + 4*n**2 - 6*n - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l - 64. Let h(n) = 14*n - 122. Let f(m) = 2*h(m) - 5*v(m). Let q be f(11). Sort q, -5, -0.174 in descending order.\nAnswer: -0.174, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -2 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14768817 (base 9) in base 14?\nAnswer: d9b174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 6*k - 38 = 0, 238*z = 242*z + 3*k - 91 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.005292928908 rounded to 5 decimal places?\nAnswer: 0.00529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 511 and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -1, 0.215, -5, -2?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -o - 4*r, 5*o - 20 = 3*r - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-35)*(-7)\/(-2))\/((-1)\/(-2)). What is the smallest value in 2, n, 0.5, 3, 63?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - -881\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/64 and -39\/268.\nAnswer: 4288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37650.51 millimeters to kilometers.\nAnswer: 0.03765051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*o*q**2 + 24*o*q + 6*o + 448*q**2 - 282*q wrt q?\nAnswer: 158*o + 896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + 2)*1.\nAnswer: -6*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92665404 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6286268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20231*o**2*t + 120*o**2 + 2*o*t - 231638*t - 1 wrt o?\nAnswer: -40462*o*t + 240*o + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46662, 186617, 419876, 746439, 1166306, 1679477, 2285952?\n\"Answer: 46652*f**2 - f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 357701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2443, 2444, 2445, 2446, 2447, 2448?\nAnswer: 2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/105*20\/(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 3*g - 2*g)*(-4*g - 5 + 5) + 8*g**2 - 11*g**2 + 26*g**2 to k*g + n + t*g**2 and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10501753.\nAnswer: 191, 54983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 341.992 + 0.008. Let q = 341.9 - a. What is the second smallest value in -0.4, -18, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*l**3 + 7*l - 7*l.\nAnswer: -121*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2132, 2124, 2116, 2108?\nAnswer: 2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 16, l + 2*r - 2 = 2*l + 4*l - 13*l + 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1660*q + 1556*q - 1150*q = -18594 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8665, -17339, -26013, -34687?\n\"Answer: -8674*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*(4 + -26). Suppose l = -2*u + 27. What is the remainder when u is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -2, 10, -1, 2\/5 in ascending order.\nAnswer: -2, -1, 2\/5, 10, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*2\/(-6). Let m(f) be the second derivative of -1\/48*f**4 + 0 - 1\/6*f**3 - l*f**2 - 2*f. Factor m(s).\nAnswer: -(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 133349 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, f: 5, x: 5, p: 1}. Give prob of sequence xbf.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 4*y + 3. Let s = 75 - 71. Let b be x(s). Suppose -b*q + 45 = -15. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/3, -1, -3\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.53 - -18.27. Let r = k - 16. Let m = r - 2.8106. Round m to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/175, -45 in descending order.\nAnswer: 5, -2\/175, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/(8\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4461 by -4745.\nAnswer: -4461\/4745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.20848 millilitres to litres.\nAnswer: 0.00820848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 13\/475 and -60038 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 56 - 59. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*g + 13*g = 2696950 - 2698798 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 6*w - 2)*(5 + 46 + 10) as s + q*w and give q.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Let o(j) be the third derivative of j**6\/60 - j**5\/10 + j**4\/12 - 5*j**3\/6 + 3*j**2. Does 14 divide o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.025192 - -25.937808. Let k = -26 + l. Round k to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9260231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/((-2)\/(-20)). Suppose 251*r = -396*r. Sort r, k, 2, -4 in decreasing order.\nAnswer: 2, r, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 9. Let h be ((-124)\/8)\/(p\/4). Suppose c = b + 31, -4*b - h = -2*c - b. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 6*k + 3*q + 21 = 0, -12*k + 9*k - 383 = -36*q + 223*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*x - 24, -4*x = 7821*y - 7817*y - 32. What is the smallest common multiple of y and (-41)\/(-2) - (-2)\/4?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16)\/12 + (-770)\/84 and (-2 + (-1612)\/(-648))*3.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*h*h**(2\/47)\/h*(h*h\/(h\/(h*h**(-7))))**(-24))**(-4\/5) assuming h is positive.\nAnswer: h**(-21064\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110629220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/3, 276, -0.07, 1, 2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7122322.5 rounded to the nearest 1000?\nAnswer: -7122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1709599 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*h**2*r + d*h*r - 1532936*d*r**2 - 50*d + 243*h**2*r**2 + 39014*h**2*r - h**2 - h*r + 2*h wrt r.\nAnswer: -3065872*d + 486*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -2. Suppose -3*i = -4 - v. Suppose -4*r = -3*b + 8, 3*b - i*r - 20 = -b. Calculate the highest common factor of 88 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:53 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*g**3 - 224*g**3 - 147*g**3 - 206*g**3.\nAnswer: -406*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4667003?\nAnswer: 4667008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61203\/7 + 8762. Let c = y + -3491\/154. Calculate the common denominator of 133\/6 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/((-4)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 476 = -4*u, -5*u - 540 = -3*i - 82. Suppose -i*w + 152*w - 12 = 0. Put 23, w, -4 in descending order.\nAnswer: 23, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 16 = -4*d, 146*d + o = 150*d - 70*o - 430 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:44 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5665883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 + t**4 - 3*t**4)*(4*t - 6*t + 4*t) - 13*t**5 + 15*t**5 + 12 + 22.\nAnswer: -2*t**5 + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1948 - 0.14589. Let q = -0.4 - -0.74. Let f = y + q. Round f to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h. Let k(n) be the second derivative of 1\/12*n**4 + 0*n**3 + 0*n**2 + 6*n + 0. Determine a(k(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238 + -99. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/3*9\/(-6). Suppose -r - 2*d + 1 = -3, 0 = r + 3*d - c. Factor -g**3 - r*g**2 + 4*g**3 - 5*g**3.\nAnswer: -2*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000214614 rounded to 6 decimal places?\nAnswer: -0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:09 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -101, 46, 669, 2008, 4303, 7794?\n\"Answer: 40*m**3 - 2*m**2 - 127*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(425)*-2)**2*-1.\nAnswer: -5100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84660 divided by 16932?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32415 - -32418. Solve -f = s*q - 15 - 0, 4*q - 5*f = 39 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-618)\/(-7725)*((-24)\/(-207) - (-2 - 1)\/(-9)).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u - 4*z, 5*u - 4*z + 6 = -0. Let m be (-13)\/(-4) + u\/8. Suppose 39 = 2*r + 27. What is the highest common factor of m and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.09, -2\/3, -11, -0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16287, 16367, 16503, 16695, 16943, 17247?\n\"Answer: 28*s**2 - 4*s + 16263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-6))\/(1\/(-2)). Let u be (-988)\/28 - 4\/(-14). Let h be (-25)\/u*(-6)\/10. Sort f, h, 5 in descending order.\nAnswer: 5, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 4*s. Let p(m) = m**3 - 3*m + 3. What is the remainder when p(2) is divided by h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 33*v**4\/4 + v**2 + v + 1. Let m be h(-1). Let w = m + 87. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 258 and 1842034?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/12922 and 89\/5512.\nAnswer: 2739464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/35)\/(0 - 2*-37). Let z be (4 - 4)*(-4 - -2)\/2. Which is greater: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-8))\/(((-1)\/7)\/(3296\/(-5768))).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5546153*w**2 - 15886033*w wrt w.\nAnswer: 11092306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k**2 - 18*k - 4. Let i(g) = -2*g**2 + 4*g. Let l(c) = -6*i(c) - r(c). Give l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*k = 790 + 506 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 221, -33, -4, 4 in descending order.\nAnswer: 221, 45, 4, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68262 < -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2629737 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7 + 2 + 4*u + 13 + 17*u - 4. What is z(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2 + 6*s + 2. Let z(t) = 6*t**2 - 5*t - 1. Let j(c) = 5*h(c) + 7*z(c). Give j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -806273 + -11?\nAnswer: -806284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from kfrrktg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 254 + 314 = 0. Calculate the remainder when ((-260)\/a)\/((-30)\/(-108)) is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -49 - 46. Suppose -6 = i - c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 48 = -6*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 1133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*y + 3*y = 4, 2*j - 3*y = -12. Let z(f) = -f**2 - 5*f + 8. Let v be z(-6). Let b(p) = -v*p + j*p + 4*p. Let u(k) = -11*k. Determine b(u(g)).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8*t**2. Let m(s) = -95*s**2. Let j(k) = -10 - 10*k - k**3 - 17*k + 22*k - 9*k**2. Let i be j(-9). Let h(r) = i*y(r) - 3*m(r). Factor h(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 13 + 9 - (9 + -1) - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/21 - 5288*v**3\/21 + 14066*v**2\/7 - 57952*v\/21 - 105440\/21 = 0 for v.\nAnswer: -1, 4, 5, 2636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(3\/1) + 11. Suppose f = 4*f + 3, 0 = -5*q + 5*f + y. Let c(r) = -8*r - 136. Let m be c(-17). Sort m, -3, q, 5 in descending order.\nAnswer: 5, q, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1535, 3065, 4595, 6125, 7655, 9185?\n\"Answer: 1530*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*-2*(4 + (-6)\/18)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312\/53 >= 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 5, 1, -1, 4, 2 in decreasing order.\nAnswer: 5, 4, 2, 1, -0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3 + 4 - 16194*n + 32382*n - 16143*n.\nAnswer: 45*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3652, -3688, -3754, -3868, -4048?\nAnswer: -4312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73.429 + -0.829. Let i = w + -73. Put -2, 2, i in ascending order.\nAnswer: -2, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 663.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3454222.234 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvpp. Give prob of sequence pv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1180, 3630, 7354, 12352, 18624, 26170?\nAnswer: 34990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*(6\/(-9))\/(-2). Let h be (g + -8)\/(-1) + -2. Is 8 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 5*j**3\/9 - 175*j**2\/3 + 6125*j\/3 + 110. Determine t so that q(t) = 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from uffffuuffxssxffxf.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4 = 6*t. Suppose 0 = 3*v + 4*u - 13, -t*v + 3 = -3*u - 6. Factor v + 4 + 224*o**3 + 49*o**4 + 1 + 100*o + 4 + 263*o**2.\nAnswer: (o + 1)*(o + 3)*(7*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1577?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 4*l**2 + 2. Let v be d(4). Suppose -3*h + 2*h + 5 = 2*m, 0 = -v*m + 5*h - 25. Let r = -2231 - -2234. Solve r*y + y = m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -2\/399, 1\/4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5670 and -13\/1460?\nAnswer: 827820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93951553 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmammlwwmjawo. Give prob of picking 1 m and 3 w.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, h: 3, u: 1}. What is prob of sequence hou?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.64 + 0.24. Which is the third smallest value? (a) o (b) -4\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 - 3*z\/2 + 5\/3.\nAnswer: -(z - 1)*(z + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -879538080 divided by -58635872?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -89*u + 7. Let y(c) = -41*c + 3. What is -2*k(h) + 5*y(h)?\nAnswer: -27*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5247)\/(-12) - 1\/4. Let m = -5685\/13 + j. Which is the smallest value? (a) 2\/3 (b) -2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from xuuuxuuuxeeu.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*w + 4*w - 19 + 0 to the form k + b*w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*n - 1, -3*m = -4*n - 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhnhnn. What is prob of sequence nnh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*c + 52, 2*q - 43 = -5*c + q. Suppose c*d + 2*d = 1030. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49999*h**4 + 3*h - 2 - 3*h - 31*h**3 - 50001*h**4 in the form l*h**3 + f + b*h**4 + m*h**2 + p*h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011612367 rounded to five decimal places?\nAnswer: -0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 3*h + 2*h + (2 - 2 - 2)*(-1 + 2*h + 1) + (16 + 8 - 7)*(-5 + 2 + 3*h + h).\nAnswer: 62*h - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 294 - 165. Let z be (-2)\/(-8) - (-171)\/36. Suppose 2*d - 96 = -z*a, 4*a - 5*d + 39 - r = 0. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 19*q - 2. Give f(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -118, -307, -656, -1219?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8638 and 3066?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-9))\/(375\/30).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425897176.\nAnswer: 2, 11, 3463, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3869\/9 - -3872\/9. Let l be 4\/(-6)*9\/8. Which is the second biggest value? (a) q (b) l (c) 2\/3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -1102331?\nAnswer: 1102322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47\/2 + 24. Suppose -y = 3*t - 9, -t = -4*t + 2*y + 18. Suppose 4 + 4 = t*v. Which is the second biggest value? (a) o (b) 2\/27 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 4, 16257, -8, 1\/2 in increasing order.\nAnswer: -8, 0.06, 1\/2, 4, 16257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w - 2*o, 5*o = -3*w + 4*w - 10. Calculate the common denominator of 1\/(-1 + 183\/159) and w + (272\/20)\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*l + 276*l + 85 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 33*x**2 + 16*x - 8. What is i(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(2\/7))\/n*n*n)**(-11)*(n**(-1\/3))**(2\/77) assuming n is positive.\nAnswer: n**(-1193\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**5 - 4*o**4 - 8*o**2 + 4. Let c(d) = -3*d**5 + 5*d**4 + 9*d**2 - 5. Let g(v) = -4*c(v) - 5*z(v). Find the third derivative of g(n) wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 206 in -2\/5, 4, -2\/9, -12, 0.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8530.714 micrometers?\nAnswer: 8.530714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 5, 3, 8, 1, -0.34, 441?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5 + 38*m**3 + 4*m**2 - 96*m - 64 = 0.\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 1672*p**2 - 1649*p**2 + 151 + 147 + 8*p.\nAnswer: 23*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*p**2*v**3 - 630*p**2 - 10*v**3 - 3*v**2 - 4*v with respect to p.\nAnswer: 8*p*v**3 - 1260*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3862*r**3 - 1610*r**2 - 12343915*r + 2 wrt r?\nAnswer: -23172*r - 3220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2184 is divided by 568.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 at most -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h. Let d = h - -3. Let f(w) = 4*w + 1. Let x(s) = -3*s - 1. Let a(g) = -5*f(g) - 8*x(g). Let t(l) = 5*l + 4. Give d*t(m) - 4*a(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 20*h**2 - 10*h - 20. Let r be t(-20). Suppose -r = -4*o - 2*y, 9*o - 98 = 7*o + y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5 = 5*q, 0 = 2*q - 0*q - 4*o + 12. Suppose -q*w - 13 = 11. Are w and -6 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/8*(3 - 2). Does 14 divide (-1)\/((-2)\/(-80)*s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = y - 1, 5*y + 7 = -366*o + 368*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:52 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {c: 4, q: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5219358.988 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 - 175*j**2 + 8*j**3 + 175*j**2 - 4*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/9)\/g**(-1\/3)*(g**(-3\/4))**(5\/3) assuming g is positive.\nAnswer: g**(-25\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + (2 - (2 + 0)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301194241 + 21787?\nAnswer: 1301216028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + (-24)\/10. Let k(g) be the first derivative of -g**2 - g + 2. Let x be k(h). Solve x + 1 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*z - l, 2*z + l + 1 = -z. Suppose z = -i + 1, 2*i - 13 = -4*g + 5*i. Which is the closest to 2\/5? (a) -2 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*y**2 + 1269*y + 39217.\nAnswer: 4*y + 1269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5384)\/((((-84)\/(-385))\/4)\/15). What is j rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 137*x**2 - 67*x**2 - 23*x**2 + (-3*x + x + 3*x)*(-x + x - 2*x) - 3*x**2 + 4*x**2 - 2*x**2 + 0*x**2 + x**2 - 3*x**2.\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2483212*x - 12416058. What is q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-6)\/4 + 86\/(-4). Which is smaller: o or -19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10*t + 45 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133435 (base 6) to base 11.\nAnswer: 9415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 115\/2 + (-31)\/62. Suppose s*q = 64*q - 1890. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/i**(-5\/6))**(1\/22))**(-4) assuming i is positive.\nAnswer: i**(-13\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296202 is divided by 73857.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((6\/(-18))\/((-4)\/6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 < 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 22413*c + 89711. Determine l(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -0.470255, -0.8, -0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + -0.1. Let r(h) = -3*h + 0*h**2 - 2*h + h**2 - 3*h + 2. Let x be r(8). Which is the nearest to 1? (a) d (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.69 + -0.7. Let i = 0.39 - b. Which is bigger: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -11. Suppose 0 = -5*y + f - 573 + 2153, 2*y + 4*f = 610. Is (2\/6)\/(q\/y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.779 days to minutes.\nAnswer: 50081.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v + 28 = 0. Let y = v + 11. Factor y*p**4 - 2*p - 4*p**2 + 4*p**5 + 0*p**5 - 2*p**5.\nAnswer: 2*p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34100 (base 13) to base 4.\nAnswer: -113012300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-66)\/30)*25\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -16. Let d be 2 - x\/((-9)\/(-12)). Let a(c) = 1 + 3*c**2 + 2*c**3 - 3*c**2 - 4*c. Let f(h) = -2*h**3 + 3*h - 1. What is d*a(p) - 3*f(p)?\nAnswer: 2*p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897075.\nAnswer: 5, 75883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 19. Let t be 1*4\/y*-1. Let i = -2 - -3. Which is greater: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 280. What is the second derivative of -56*l**3 - 4 - y*l - 214*l + 422*l - 2*l**2 wrt l?\nAnswer: -336*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4263\/261)\/(-7*4\/(-24)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2193207 and 17287?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-15)*((-10)\/8)\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(2\/9))**38\/(y*y**4*y\/((y*y**(1\/6))\/y)) assuming y is positive.\nAnswer: y**(1415\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2) + 1)*-12. Suppose -2*l = -4*r + 40, -2*r = -2*l - 15 - 1. What is the greatest common divisor of u and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.2\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/10)\/(((-2)\/6)\/((-1)\/6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 22*z. Let p(j) = -620*j + 6. What is g(p(k))?\nAnswer: -13640*k + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63501 is divided by 80.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 7 = -26*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4553 - 398?\nAnswer: 4155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12044096*c**5 + 16486686*c wrt c?\nAnswer: 240881920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -0.4, 1\/306, 40378?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:05 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-6 + 2 + 1). Is ((-50)\/(-35))\/5 + 3260\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -41, -90, -191, -362, -621, -986, -1475?\nAnswer: -2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*x**2 - 2*x**5 - x**5 + 394757*x**6 + 6*x + 2*x**5 + 108*x**2 - 397989*x**6 wrt x.\nAnswer: -387840*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7806 - -7866. Solve -f - 61 = -b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -5\/3*g**3 - 1\/120*g**6 - 34*g**2 + 0 + 13\/60*g**5 + 0*g - 1\/8*g**4. Is d(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/5409 and -61\/4808?\nAnswer: 43272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d + -3368?\nAnswer: -3397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -30*o - 9. Let h(p) = 11*p + 3. Let w(v) = -17*h(v) - 6*k(v). Let d(y) = -2 + 2 + 0 + y. Let l be 93\/(-155) + (-4)\/10. Calculate l*w(x) - 6*d(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -259 divided by 4\nAnswer: -259\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -58. Let j = 18 - t. Let f(h) = 5*h + 6. Let a(w) = -9*w - 11. Let p(y) = 6*a(y) + 11*f(y). Give p(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3. Let n = 0.2 + -3.2. Let s = 14 + -14.3. Sort x, n, s in ascending order.\nAnswer: n, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -5*d + 0*d**5 + 0*d**6 - 1\/7*d**7 + 0*d**4 + 0 + 2\/3*d**3 + 0*d**2. Find the second derivative of m(t) wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16291 - -16294. Is 11.47 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -50*w + 2905. Let m be u(58). Solve 5*t - 3*x = -m, -16*x - 2 = 2*t - 14*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeexeeeeeveeeeeee. Give prob of picking 2 e.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/5)\/b**(2\/7)*(b*b**(5\/2)*b*b)**(3\/23) assuming b is positive.\nAnswer: b**(1017\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -540 (base 7) to base 3\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 + 4002*d**4 + 69717*d**3 - 1772706*d**2 - 69720*d + 1768704 = 0. Calculate d.\nAnswer: -1316, -32, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.42, 3, 2301?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.11 - 0.11. Let q be (-41)\/(-164) + 10\/(-104). Which is the nearest to 4\/11? (a) q (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2\/5, -18, -1, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0*p\/p**(-1\/2)*p**(-7\/6)*((p**12*p)\/p)\/p assuming p is positive.\nAnswer: p**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*f**2 + 0*f + 0*f**3 + 2\/5*f**4.\nAnswer: 2*f**2*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y + 29. Let w be h(5). Calculate the smallest common multiple of (-108)\/(-10)*10\/3 and (((-1701)\/14)\/9)\/((-3)\/w).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -172 + -8?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -8 - ((-3 - 7) + 5)) + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51.63579 - 42.635648. Let m = 9 - h. What is m rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 247180 and 18175.\nAnswer: 1235900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 + 100. Let x = -49.0051 - y. Round x to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+6911\nAnswer: 6910.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/4 - 1927*i\/2 + 136115\/4 = 0. Calculate i.\nAnswer: -3889, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1045702.98 microseconds to days.\nAnswer: 0.00001210304375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*k**3 + 7*j**3*k + 10072*j**3 + j**2*k - 20027*k**3 wrt j.\nAnswer: -6*k**3 + 42*k + 60432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -31.2, -3, 0.2, -35, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w - 458 = -178 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5087355 micrograms in kilograms?\nAnswer: 0.0000000005087355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d - 64. Let x(a) = -2*a**2 - 2*a + 1636. Give i(x(m)).\nAnswer: 4*m**2 + 4*m - 3336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 5596?\nAnswer: 33576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/5 - 131\/5. Is j < -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368262 a multiple of 998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8110380 take away 49?\nAnswer: 8110331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.2 - -5.0484366.\nAnswer: 0.8484366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 10*r**2 + 8*r + 6. Let g(j) = j**3 + 11*j**2 - 8*j - 5. Let p(z) = -2*g(z) - 3*l(z). What are the prime factors of p(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 4*b**3\/3 + b**2 - b. Suppose 50*l - 20 = 45*l, -5*l = 2*c - 26. Determine q(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/12)\/(1\/6). Suppose 3*h - 8*h = 0. Let d = m + h. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/39904 and -7\/15136.\nAnswer: 438944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292760677.\nAnswer: 11, 26614607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)\/(c**(1\/8)*c))\/((c*c**(1\/2))\/c**(-5))*(c*c**(1\/5))\/(c*c**(-1\/4))*(c\/c**(2\/3))**26 assuming c is positive.\nAnswer: c**(1013\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 6626607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 + -1285\/9. Let p = -80 - -398\/5. What is the nearest to p in t, -5, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 980549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*o + 9. What is the third smallest value in -4, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 5:34 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-127 + -155 - -117)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -9, -1, 23, 69, 143?\n\"Answer: y**3 - y**2 - 6*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739483?\nAnswer: 17, 43499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4506 is divided by 11\/44*-154*14\/(-11)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 - 61. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 185.7501 centuries?\nAnswer: 18575.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121*x**5 + x + 75.\nAnswer: -2420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + -3 + (sqrt(1700) - (sqrt(1700) + -1)) + sqrt(1700) + 3 + sqrt(1700)*-2 + 2)**2 + -2.\nAnswer: -140*sqrt(17) + 1747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1033074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 96\/10 - (-8)\/20. Let m = 54 + -45. Solve -t*w = -7*w + m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00237957389 rounded to five decimal places?\nAnswer: -0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5485377 divided by 151?\nAnswer: 36327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8445415 and 3071060?\nAnswer: 33781660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from adffdkavaaaf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 1:07 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -719400+-3027278\nAnswer: -3746678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986361297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p + 11. Let b(u) = -u**2 + 10*u - 11. Let z be b(p). Suppose 2*f + 4*l + 15 = -f, 5 = -f + z*l. Sort -4, f, 3.\nAnswer: f, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103015156 to the power of 1\/2, to the nearest integer?\nAnswer: 10150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 2 - (12\/(-3) + -5). Solve u*n + 6 + 19 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 156*i - 3. Let h(k) be the third derivative of -k**4\/24 + 1893*k**2. Give h(x(q)).\nAnswer: -156*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z + 132 - 24 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31.1 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275 + 68 + 69 + 2742*k**2 + 291*k + 67 + 69 wrt k.\nAnswer: 5484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56\/2047657 or 0?\nAnswer: -56\/2047657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 11 + 11 + (-i - 3 + 3)*(-1 + 2 - 3) + 0*i + 2*i - i + 86*i - 169*i + 89*i)*(2*i**3 - 6*i**3 - i + 0*i).\nAnswer: -44*i**4 - 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*p**3 + 15*p**3 + 76*p**3.\nAnswer: 136*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (54\/3)\/(-9) + -1 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17634.\nAnswer: 2, 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 34 = 5*i, 97*i - 101*i = -4*k + 24 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-2))\/(22\/(-385)). Suppose -5*j + 4*f = -m, 5*f + 31 = 3*j - 3. Find the third derivative of -4*t**2 + 5*t**3 - 6*t**3 - j*t**2 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -9 - (12 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b8203 - 50?\nAnswer: -b8253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621392 is divided by 3491.\nAnswer: 3485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 4*k + 4*k + 0*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**2 - 1058866*z + 18821440.\nAnswer: (z - 117634)*(9*z - 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175420 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12*9\/((-18)\/(-4)) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -7*z - 101. Let o = z - -8. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8790087 - 72\nAnswer: -8790159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11605 and 34.\nAnswer: -394570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((13 - 14) + 0\/(-2))*-10. Solve -b = -5*n + h, -7*n + 34 - 2 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**2\/2 + 5*v - 2. Does 3 divide l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 (base 5) in base 4?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s, -3*s - 38 = 4*l - s. Let j(v) = -v**2 + 26*v - 83. Let h be j(4). Sort -1, l, h, 2 in descending order.\nAnswer: h, 2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + -3?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 5 + 2*b - 4 + 2*b - 5*b + 4*b + (4 + 4*b - 4)*(-1 - 2 - 1) + b - 3*b + 0*b to the form i*b + k and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 + 5704*g + 418. Let p(c) = 2*c**2 + 5703*c + 334. Calculate 5*p(b) - 4*x(b).\nAnswer: -2*b**2 + 5699*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 415\/(-249)*((-3)\/45)\/((-4)\/1044)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a + 1 + 0 - 13*a. Let s(w) = -w - 1. Let z(t) = 3*t + 1. Let h(d) = -2*s(d) - z(d). Let i be h(2). Give y(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -826*k. Let r(m) = 324*m**2 + 1. Determine t(r(d)).\nAnswer: -267624*d**2 - 826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770 divided by -30?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2949622896.\nAnswer: 2, 3, 11, 1583, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -59\/13, -0.2 in descending order.\nAnswer: 3, -0.2, -59\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 11:39 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, x: 3, s: 2, v: 2, c: 1}. Give prob of picking 1 c and 3 t.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 89438588 a multiple of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-17)*c)**17*(c\/(c**14*c))\/(c*c**(3\/8)))**4 assuming c is positive.\nAnswer: c**(-2163\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 144285809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5434.437 decades?\nAnswer: 652132.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-68)\/(-8) + 4\/8. What are the prime factors of (0 - 1) + y\/((-36)\/(-448))?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625313474.\nAnswer: 2, 47, 73, 91127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiy when three letters picked without replacement from yyiyyiyyyyyyyyyyyyy.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/3*6\/255\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 3*w - 11*w - 3 - 5*w to the form d + a*w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*n + 1355 = 0, -3*t - 4*n = -2*n - 808. What is the remainder when t is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 298.21047748 to three decimal places.\nAnswer: 298.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 3.84969.\nAnswer: 11.54907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -122201 (base 3) to base 13\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 68 = 240. Suppose -p = -n - 9. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*y + 17. What is the greatest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*g - 6*g + 39*g - 142*g + 33*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -18 + 3. Let h = 56 + -54. Let a be (h + 13)\/3 - 1. Solve -a*y + b*r + 17 = -0*y, r = 5*y - 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let h be 0 + -3 + u + -1. Let p(t) = 2*t**2 - 3*t + 3. Let n be p(2). Sort h, n, 1 in increasing order.\nAnswer: h, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 205120434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/19)*s*s*s**(2\/17)*(s\/(s\/((s\/s**0)\/s*s)))\/s**(-6) assuming s is positive.\nAnswer: s**(2911\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10*(-19)\/(-475))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 16. Let m = 3 - a. What is the smallest value in 3\/2, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5561*y**2 + 6*y + 6. Is f(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 322*s**2 + 108*s**2 + 238*s**2.\nAnswer: 668*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4585 and 579544?\nAnswer: 2897720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-43)*1220\/1830.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85656 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43 + 7?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/(s*s**(1\/2)*s*s))\/(s**4*s*s\/((s*((s*s\/(s\/s**(-2)))\/s)\/s)\/s*s)*s) assuming s is positive.\nAnswer: s**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.6 + -1.6. Let v = -15.3 - -18.36. Let h = v - x. Put h, 1\/4, 3 in increasing order.\nAnswer: h, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geegjegowgigegi. Give prob of picking 1 i and 1 e.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 1, d: 2, q: 1, r: 4}. What is prob of sequence sj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93.997645 - -94. What is s rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/36*8*(-42)\/(-42).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 88894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70353\/8 + -8831. Which is smaller: w or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7304966, -7304973, -7304984, -7304999?\nAnswer: -7305018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-3) - 18\/(-54). Let h(k) be the second derivative of 0*k**2 + 0 + 5\/6*k**r + 4*k + 1\/3*k**4. Find the second derivative of h(w) wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 56 - 56 + u**2. Let o(s) = s. Give o(w(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005027 to 7 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -22. What is the remainder when (k + 0)*(-8)\/16 + 197 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3190*s - 1249*s + 1540*s)*(-3*s**2 + 2*s**2 + 11*s**2) to the form v + b*s**3 + j*s**2 + d*s and give b.\nAnswer: -28990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + 133021.4664.\nAnswer: 133005.4664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3357, 8, -12, 1, -6 in descending order.\nAnswer: 3357, 8, 1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 13\/6, -0.1, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 14. Let t(z) = z**2 + 7*z. Let l be t(-5). Let v be b(l). Suppose v = -m + 5*w - 1, 0 = 5*m - 2*w + 2. What is m rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 17*k**2 - 3*k + 5. Let y be i(2). Let p = -22 + y. Let l = -31 + p. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -13 (c) -2607 (d) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 9001.1511\nAnswer: -18002.3022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*p + 18*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -286854 times 5?\nAnswer: -1434270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2 + sqrt(112) + 1)**2 - (-1 + sqrt(112))*6) + 2.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*(35\/(-55))\/7.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.3 (b) 4.8 (c) 5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) -20 (c) -2\/7 (d) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1175284 (base 10) in base 14?\nAnswer: -22844c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50292374 greater than 50292350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 52690 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 3 + 2 - 4. Let g be (-2 - -1)*(1 - -1). Let a be (48\/(-32))\/((273\/(-14))\/(-13)). Let l(z) = -z. What is a*x(c) + g*l(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11021886?\nAnswer: 2, 3, 401, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 496 = 248. Let b = r - -101. Calculate the remainder when 77 is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19923 is divided by 1238?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6100 = -22. Let m = -1395 + c. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 460*p**2 + 2872*p - 3872.\nAnswer: -4*(p - 4)*(p - 2)*(p + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(1 - (-5)\/(-2)). List the prime factors of (-21)\/(-2) - (-2)\/c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 7:31 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -7*d + 12. Suppose 2*f + d*v = 6*f - 4, 0 = -2*f + 4*v - 2. Let p be 17\/2 - 2\/(-4). What is the highest common divisor of f and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1643865 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.769 + -0.869. Let x = -24 + 66. Let o = q - x. What is the nearest to o in -0.1, -3, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -6618, -602 in decreasing order.\nAnswer: -15, -602, -6618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -322*g**2 + 4*g + 4. Let o(a) = -30*a**2 + a + 1. Let t(w) = -i(w) + 4*o(w). Let d(j) = 31*j**2. Give d(t(b)).\nAnswer: 1264924*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 3*c**2 + 4*c - 2. Let h be k(1). Suppose -j + h*j + 21 = u, 49 = 3*j - 4*u. Calculate the remainder when 29 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7175770, -7175795, -7175820, -7175845, -7175870, -7175895?\nAnswer: -7175920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l - 2*h, -2*l - 7 = 3*h - 5. Let v be -3 - (-4)\/4 - 1. Suppose 2*d + 9 = a, -d - 10 = 7*a - 2*a. Put v, l, d in descending order.\nAnswer: l, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let s(u) = -11*u. Let o(w) = 2*w. Let l(t) = 18*o(t) + 2*s(t). Let a(q) = -3*q. Let d(b) = 11*a(b) + 2*l(b). Calculate v(d(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 + 3 + 8*x + 7*x**2 - 3*x**2. Let b be h(-8). Solve 5*q = 4*s + 21, -17 = s + b*s - q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13016*w + 65006. What is c(-5)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-2) - (27 - 41).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.559 - 0.441. Sort i, 2, 4, 1\/2 in increasing order.\nAnswer: i, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.6467mg in nanograms?\nAnswer: 700646700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 23*j + 7*j = -15*j - 6, -9*j + 54 = -7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 + -3 - (-68 - -84).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 - 265. Let x = -111 - m. Let o(w) = -w**3 + 6*w**2 - 2*w. Calculate o(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 2210.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1*14*(-6)\/(-12). What is the units digit of 12*56\/(-12)*q\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -3 + -16 - (-6 - -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 2*r**2 - 2*r**2 + (10 + 4 - 5)*(r**2 + 1 - 1).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2410 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 406170 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -32. Let c be -3 + 49 - (-8)\/u. List the prime factors of c + 16\/(-4) + 0.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138627 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1345, 3317, 5933, 9217, 13193, 17885?\nAnswer: 23317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37\/(-70) - 15\/(-25). Let d = -4 + 3. Is d less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62817 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + -1 - (-53 + 48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14 (b) -14 (c) -2 (d) -0.66 (e) -24 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.47, -0.1, -0.15?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.842727+-0.278\nAnswer: -1.120727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 26745*i**3 - 47578875*i**2 + 27957945595*i + 342393024180.\nAnswer: -5*(i - 1787)**3*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -6 (b) 2 (c) -836 (d) -0.01 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9882 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 371630.9 tonnes?\nAnswer: 371630900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3299966 and 304928?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*m - 268 = 0, -4*m - 686 = 5*f - 40. Let w be 6\/21 + (-342)\/f. What is the second biggest value in -2, w, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877106.\nAnswer: 2, 3, 7, 11, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 4*u + 0*u**3 + 2*u**2 - 1\/4*u**4 + 0. Find the first derivative of c(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 15. Suppose 36 - 1 = n*b + 5*g, -90 = -4*b + 2*g. Solve -10*r + b = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4810, -9636, -14462?\nAnswer: -19288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210432 (base 5) to base 13.\nAnswer: -14539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*n - 12*n - 41*n)*(-2*n**2 + 2*n**2 - 2*n**2).\nAnswer: 154*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 5. Calculate the least common multiple of o(-3) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 49*j**2 - 65*j + 21. List the prime factors of t(46).\nAnswer: 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 219523, 219699, 219875, 220051, 220227, 220403?\n\"Answer: 176*z + 219347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, -12, -3.\nAnswer: -12, -3, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 25.2950807234?\nAnswer: -20.2950807234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44754.\nAnswer: 2, 3, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 458*k + 1715. What is g(-4)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 7:11 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d - 24. Let o(z) = 6*z. Let i(l) = -l. Let x(n) = -5*i(n) - o(n). Let q be x(d). Solve 4*s - 5*b + q = 0, -b + 6 = -2*s + 3*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18984 and 99666?\nAnswer: 398664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 19. Suppose 5*c + 1 = -44. Calculate the remainder when 110 is divided by t(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 6305195243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 3) to base 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -212*a**3 - 5*a**2 - 181. Let x(m) = 318*m**3 + 7*m**2 + 271. Let n(g) = -7*w(g) - 5*x(g). Find the first derivative of n(r) wrt r.\nAnswer: -318*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 5:51 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*q - 4, 3*q - 5 = 1. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1\/13))\/(((k\/k**(-2\/11))\/k)\/k*k) assuming k is positive.\nAnswer: k**(249\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*(-30)\/3*2\/(-24).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420, 804, 1186, 1566, 1944, 2320, 2694?\nAnswer: 3066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-36))\/(9\/(-84)). Let i be (49\/7)\/l*3. Solve -11*o + i*o = 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096968541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 18*b**2 - 52*b + 23. Calculate j(-14).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1323 divide 1072687275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 8\/3, -0.4, 0.3, -0.9, -2\/13?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12352 divided by 5\nAnswer: 12352\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 10:57 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -878304 divided by 6.\nAnswer: -146384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30001*p + 29822*p + 11993 = 0 for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -18\/929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120785102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 81013, 3, 1 in descending order.\nAnswer: 81013, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*((sqrt(76)\/sqrt(36))**2 + -1).\nAnswer: 100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29430 and 10?\nAnswer: 29430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 8*r - 628 = -610, -5*a + 1 = 2*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13883*w - 11208 wrt w?\nAnswer: 13883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1701) - (sqrt(1701) - sqrt(1701)*2) - sqrt(1701)) + sqrt(1701))\/(sqrt(7)*1*3).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 318\/(-9) + 1\/3. Suppose 5*u + 27 = 107. Calculate the smallest common multiple of u and -5*1*84\/c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 220746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 71) + -6 - -70\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 + 10*i**2 - 12*i = 0. What is i?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1779 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1134?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let o(c) be the second derivative of -89*c**5\/120 - c**4\/12 + 5*c**3\/6 + 79*c. Let q(g) be the second derivative of o(g). Calculate q(k(n)).\nAnswer: 178*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 3*b**2 - 4*b + 3. Let p be q(-4). Let v be p + 2*3*(-1)\/6. Suppose -v*t = 2*j - 158, 2*j - 147 = -3*t + 6. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:16 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -713 and 2.1.\nAnswer: -1497.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Suppose -w + p = 1. Find the third derivative of 2*u**2 - 5*u**3 + 0*u**3 + 0*u**w + u**2 wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/5 + 62*l**2\/5 + 84*l\/5.\nAnswer: 2*l*(l + 14)*(2*l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/5, 4, 1\/3 in ascending order.\nAnswer: -21\/5, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 461 + 23. Suppose 3*l - 5*y = -l + k, -4*y = -2*l + 242. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3 + 2*m - m + 8*m**3 wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1186473\/3232640 - -4\/25255. What is the common denominator of 59\/4 and n?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739334537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**12*w**(-2\/7) assuming w is positive.\nAnswer: w**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 45.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 6*r - 5*r - 71 + 2 + 2*r - 2 + (2 - 8*r - 2)*(0 - 1 - 1) - 2 + 2*r + 2 in the form h*r + i and give i.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 9. Let v(c) = 82*c + 490. Let p be v(-6). Let g(h) = h - 2. Let w(b) = -b**3 + 9*b**2 - 6*b - 7. Let i be w(8). Determine i*g(k) + p*l(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1596, -1 in descending order.\nAnswer: -1, -2, -1596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4133 + -4061. What is the remainder when 283 is divided by f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -499 - -795. Let x = 506 - p. Let b be (24\/10)\/((-4)\/(-70)). What is the greatest common divisor of b and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -2790253556.\nAnswer: -2790253555.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009089 less than -9113?\nAnswer: -9112.990911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 57*l + 38 = -58*l, -3*a + 18 = -3*l. Solve -a = -2*c - 2*r, 2*c = -3*c + 2*r - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11*z + 5. Give f(-9).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 = -5*q. Let h be 1 + (-50004 - (2 + q)). What is h rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-276)*164703\/6138.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.8 + -3.34. Let q = i + -0.06. Let y(h) = h**2 - 6*h - 10. Let r be y(7). Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 2*p + 21. Let c(i) = 2*i + 20. Determine 3*b(a) - 4*c(a).\nAnswer: -3*a**3 - 2*a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46430 by 10.\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 - 6*q**2 + 2*q. Let s be l(4). Suppose 2*v - s = -0*v. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 w when four letters picked without replacement from tgaytywggt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2 + 4*p - 2. Let l(d) = -17*d**2 + 11*d - 5. Let a(t) = 11*f(t) - 4*l(t). Find the first derivative of a(y) wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 17*j + 4*j + 5*j. Let l(v) = -v. Determine q(l(f)).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1030 + 287 = 5*z, 0 = 5*z - 2*m + 747. Let c(s) = 35*s**2 + 272*s + 10. Let x be c(-8). Let y = x - z. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2468*k + 4 + 3 + 2466*k)*(0 + 0 - 3*k).\nAnswer: 6*k**2 - 21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q**3 + 11*q**2 + 3*q + 17. Let d(c) = -4*c**3 - 4*c**2 - c - 6. Determine -17*d(u) - 6*l(u).\nAnswer: 2*u**3 + 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -45.5 (b) 0.2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3564) + -2*sqrt(3564) + 2 - sqrt(3564)) + -4)**2*-4 + (-3 + (sqrt(3564) - (sqrt(3564) + -1)) - (-3 + sqrt(3564) + 2))**2.\nAnswer: -53475 - 540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3049133 meters?\nAnswer: 30.49133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, b: 2}. Give prob of picking 2 r and 2 b.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 81*q**2 + 989*q + 47. What is f(66)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4570*r**3*w**3 + 63*r**3*w**2 - 26*r**2*w**2 + 22*r**2 - 18*w**4 wrt w?\nAnswer: 27420*r**3 - 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 37. Let q = -50 - -47. Are q and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -22*a - 2. Let k be f(-3). Suppose 0 = -4*m + k. Suppose c + c + 2*l + 18 = 0, -c + 4*l = -m. What is the closest to 1 in -1\/3, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3796 is divided by 240.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/44 and -69\/1162384?\nAnswer: 12786224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5209 + -5211. Which is the second smallest value? (a) 10 (b) x (c) -0.001 (d) 3 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*j + 3*u, -j = -5*j + u - 16. Let z be (0 + 1\/2)\/(1\/j). Sort 1, z, -4, 4 in increasing order.\nAnswer: -4, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from ogggmjjgggogg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 5. Give h(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -5?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -140. Suppose 5*x = -q + 78, -q = -m*x + q + 69. What is the third derivative of -45*h**4 + x*h**2 - 64*h**2 + 40*h**4 wrt h?\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 45*i + 6. Calculate a(-24).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/16*20\/(-6). Suppose -2*b + 34 = -2*j + 8, v*j = -5*b + 35. What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2192 = 276*p - 17372. Solve 8 = -p*q + 53*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*o**5 - 12*o**5 + 6*o**5 + (0 - 5 + 3)*(-2*o**4 - 2*o**5 + 2*o**4) - 4*o**5 + 6*o**5 + o**5.\nAnswer: -22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218680, 437497, 656314?\nAnswer: 875131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + (-22)\/(-990)*-995)\/((-4)\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + b + 2. Let h be r(0). Let j(u) = -u**3 + 2*u**2 + 17*u - 4. Let a be j(5). Solve f = -h*f - a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from fwtozgw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-3)*(-3)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 872, 945, 1018?\n\"Answer: 73*y + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**2 + p**2 + 6*p**2 + 0 - p**2 + 0 + (p**2 - 3*p**2 + 3*p**2)*(2 - 2 + 2) + (-3*p + 5*p - 3*p)*(0*p - p + 3*p) - 2*p**2 - 3*p + 3*p - 1 + 1 + p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24131 - -4?\nAnswer: -24124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2801*a - 2799*a + 10*a**4 + 4*a**2 - 2*a**3 - 3*a**2 as b*a + n*a**4 + t*a**3 + u*a**2 + j and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/595 + (-4)\/(-14). Let h = -3.3 - -3. Which is the third smallest value? (a) 3 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 c when three letters picked without replacement from {c: 2, z: 3, x: 4, u: 4, a: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1740 and 900.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecexzzzzexzezxzcz. Give prob of sequence ezcx.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 1. Let c be v(-1). What is the third derivative of 2*m + 2*m**2 + m**3 + m - c*m wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 8 = 23*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-52) + 664\/260 + -3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49562338.\nAnswer: 2, 7, 3540167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z - 49. Let l be c(-6). Let s = l - -70. List the prime factors of (0 + 12\/(-9))*s\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22890279.\nAnswer: 3, 17, 448829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 2304.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t**(-2\/15)\/t)\/(t**(-2\/5))**(3\/2) assuming t is positive.\nAnswer: t**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6758 divided by -218?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 39*p - 131. Let d be j(4). Solve -d*t = -23*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00825 * 0.01.\nAnswer: 0.0000825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (-114)\/6 + 9 - (-4 + -2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195269876 divided by 29794.\nAnswer: -6554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26114.04137 + -54.54.\nAnswer: -26168.58137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*r**3 + 96*o**3*r - 119*o**3 + 11*o*r**2 - 2*o*r - 345*r**3 - r - 3 wrt r?\nAnswer: 6*o**3*r + 22*o - 2070*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 3. Let v(n) = 4. Let m(z) = -3*o(z) + 2*v(z). Let g(i) = -4*i - 8. Let p be g(-3). Suppose 0 = -5*h - 2*l + 4, 2*l + p = -2. What is m(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188\/3 - -62. Let y be ((-4)\/114)\/(426\/(-852)). Which is bigger: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 474*k**3*z**3 - 2*k**3 + 345*k*z**2 wrt z?\nAnswer: 2844*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -18*i + i**3 - 8 + i**2 + i**2 - i**2 + 17*i. Let j = -24 + 36. Suppose -f = 3*t - j, 0*f + 4 = f + t. Calculate u(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**3\/3 - 2*x + 2. Let p(d) = 119*d. Give z(p(r)).\nAnswer: -238*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.752627 months to centuries.\nAnswer: 0.0014605225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5519016?\nAnswer: 2, 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 + 7*j**2 - j - 7*j**2 + 2. Let r(q) = q**2 + 1. Suppose -2*d - 3 = z + 6, 4*z = -4*d - 16. Let u(w) = z*h(w) - 2*r(w). Calculate u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -20. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:43 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 24 - 38 + 29 - u. Is 17 a factor of x(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100012 (base 3) to base 16.\nAnswer: -3d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**6\/5 + 8*k**5\/5 + k**4\/2 - 46*k**3\/3 + 24*k**2 - 2552*k. Let c(t) = 0. Calculate t.\nAnswer: -4, -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - p + 600, -2*r + 4*p + 600 = r. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1253*z - 716 = 1074*z. Let x = 9 - -1. What is the nearest to x in 0.1, 2, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1645 + 3574. What are the prime factors of t\/6*4\/2?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (310\/1)\/(4110\/(-411))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 250*k = 282 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90333 (base 15) in base 11?\nAnswer: 291952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2940106 (base 10) in base 3?\nAnswer: -12112101001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161 or -4\/3?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**5 + 34132*l**4 - 1924168*l**3 - 1992424*l**2 + 1924164*l + 1958292 = 0.\nAnswer: -8589, -1, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132320313 + 2?\nAnswer: 1132320321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1091076 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -14*p**2 + 9*p - 6. Let t be k(-10). Let d = t + 29913\/20. What is the common denominator of 83\/2 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:59 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9217 - -9216. Sort 126, 1\/4, z, -0.3, 3.\nAnswer: z, -0.3, 1\/4, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) -2\/31 (c) 2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3660 + -165?\nAnswer: 3473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 0*x = 5*x - 3, 2*x + 5 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 1. Suppose 3*r - 4*b - 2081 = -5*b, 5*b + 667 = r. Let l(h) = r - 361 - 346 - 3*h**2 + 15*h. Determine -30*d(x) - 2*l(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223200010 - -203302?\nAnswer: -222330102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 - 2*t**2 + 5*t - 2. Let c be k(1). Solve -2*g - 8 + c = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 66, 84, 90, 84, 66, 36?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 87. Suppose c = 4*c - 2*j - 24, 8 = c + 2*j. What is the smallest common multiple of c and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93423 (base 10) to base 8\nAnswer: -266357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/11 - 428*a\/11 + 864\/11 = 0. Calculate a.\nAnswer: -216, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.579 minus -2841327?\nAnswer: 2841491.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/327 + -5866\/1635. Suppose c + 3*k = 28, 0 = -3*c + 5*k + 30 - 2. Find the common denominator of c and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 + 0 - (2 + -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1179, -7915, -19149, -34887, -55135, -79899?\n\"Answer: -r**3 - 2243*r**2 + 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {c: 2, m: 1, n: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 2*t - 126456 = 0, 5*a + 4*t + 52855 = 158221. Is 58 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*c**4 - 7*c + c**3 - 49*c**4 - 3*c**3 to the form z*c + h*c**4 + u + n*c**2 + x*c**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.114 - 0.556. Let w = 0.3 + a. Let j(g) = g**2 - 10*g - 1. Let r be j(10). Is r greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 17, 68, 171, 344, 605, 972, 1463?\n\"Answer: 3*l**3 - l**2 - l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554967 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 5*q - q)*(4*q - 5*q - q) + (-5*q + 3*q + 3*q)*(0*q + 0*q - 2*q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 1, b: 5}. Give prob of picking 1 u and 1 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361026510 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -1 + (-2)\/130 + (-21583506)\/245310\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + (60 - 67)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25235.33 milligrams in kilograms?\nAnswer: 0.02523533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -327.\nAnswer: 13\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 3. Let x be a(0). Suppose -x*y - 2*y = -60. Let n be 3*(4 - 3) + y. Solve -2*k - m = -2*m + 10, 3*k = -2*m - n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-3 + 0 - (-15 + 14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 599.694 + -587.8. Let f = b + 0.106. Is 1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (342\/(-1881)*(-11)\/3)\/(-1*(-4)\/(-318)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -z - 1, 0*r + z = 3*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -x - 2. Let q(l) = l**3 + 9*l**2 - 11*l - 7. Let o be q(x). Find the second derivative of -9*s - 8*s**o + 4*s + 12*s wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 41\/2 of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241 - -240.93. Let v = -2.1 - -2.2. What is the third smallest value in z, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7552 and 3776.\nAnswer: 7552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 5313 + 8958 = 1221. Calculate the least common multiple of 108 and z.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-57)\/30)\/19?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 94*m - 194*m + 2 + 9*m**2 - m**3 + 7 + 100*m. Calculate h(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6500)\/(-295) - 7) + (-75)\/(-35)*(-4 - 3).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - r = 0, 0 = 3*v - 0*v + 5*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2447160 and 13274916?\nAnswer: 10827756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/(45\/3)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 20*f - 55. Let n be u(-25). Solve 67*s = n*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + i - 2)*(0 + 0 + 2*i)*(196*i**3 + 94*i**3 - 55*i**3).\nAnswer: 470*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.53, -3.3, -188.\nAnswer: -188, -3.3, -0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26352409.6 take away 12.3?\nAnswer: 26352397.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18 + -28 + 10 + 13 + -13. Let x = -0.21 + -7.79. Let u = x + 8. Which is the nearest to l? (a) 5 (b) 1\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 4*q - 4. Let b be z(-4). Let r = -46 + b. Let i = -19 - r. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081009 a multiple of 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -17\/4, -0.13, 339?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1732*h**2*t + 2*h**2 + 24*h*t + 2*t - 13 wrt h.\nAnswer: -3464*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 28440?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 148, 64, -26?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*s - 551*s + 19*s.\nAnswer: -240*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 - 51*q + 17. Let v(m) = -89*m**2 + 18*m + 46*m**2 - 6 + 44*m**2. Let i(x) = -6*j(x) - 17*v(x). Let p(r) = -6*r**2. Give i(p(a)).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2423*k = -2418*k - 10. Let a(z) be the first derivative of -7*z + 7 - 1\/2*z**k. Calculate a(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 708993461 * 0.4\nAnswer: 283597384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4656219064?\nAnswer: 2, 7, 3529, 23561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -3231?\nAnswer: -3236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w**3 + 60*w**3 + 7*w**3 + 12*w**3.\nAnswer: 128*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -94bd3 + -6a8?\nAnswer: -9549b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 9 - (-13 - 4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose -3*c + 33 = 8*r - 11*r, -5*c + r = -35. Solve 7*a - 2*a = 2*z - 9, -m*z + c = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -13*a**2 + 50*a + 619. Calculate u(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a\/(a**(-3)\/a))))\/a*a\/((a*a**4)\/a*a*a))\/(a*(a*a**(-1\/2))\/a)**2 assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h**3 - 2*h**2 + h. Let q be o(1). Let c be 60\/q - (-4)\/(-14). Differentiate a + 4 - 2 - c wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Suppose -2*m = -0*m - y, -y + 4 = -j*m. Let u = 36 - m. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/4)\/(w\/(w\/w**(-1))))\/(w*w*w*w*(w**(-1\/22)*w)\/w*w*w*w*w)**(-39))**(4\/29) assuming w is positive.\nAnswer: w**(13727\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, -12, 43.\nAnswer: -12, 3, 24, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614798.5 seconds to microseconds.\nAnswer: 614798500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36227 + 1?\nAnswer: -36226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4466 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 79, 134, 189, 244?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 242395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -3.9. Let t = -4.4 - a. Let x be 3\/12 - 9\/20. What is the second smallest value in 0.4, t, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 644792327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 1.0438115.\nAnswer: 15.0438115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 102196, -186?\nAnswer: 102196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -5*n**3\/2 - 5393*n. Let y(s) = -421*s. Give p(y(z)).\nAnswer: 6315*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 11:11 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1 + (0 - -2). Suppose 0 = m*t + 2*t + 70. Let i(n) = -n**3 + 23*n**2 - 22*n - 14. Let q be i(22). Do q and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 1292 - 7372 = 0. Round o to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/30 + 2*x**2. Let l(y) be the second derivative of 0*y**2 - 5\/6*y**3 + 0 - 4*y. Calculate l(n(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:02 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9192279 times -0.27\nAnswer: 2481915.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 348 + -255. What is the remainder when v is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose r = v*r + 2. What are the prime factors of (1\/(-2))\/(r\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 63, 7, -141 in increasing order.\nAnswer: -141, 1, 7, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 7, 316295 in increasing order.\nAnswer: -2, 3, 7, 316295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6 = -3*l - 4*k, 4*k = -3*l + 11. Suppose 0 = 2*i - 3*i + l. Suppose 0*f = -2*f + 5*f. Solve f = -i*n - 31 + 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-15)\/(-20)*(-5)\/15. Determine w so that -3\/4*w**3 - 1\/2*w**2 - j*w**4 + 0*w + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 2*y + 0*y**2 + 0 - 13\/6*y**3. Let r(h) = 9*h. What is -7*r(c) - 5*t(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = -3. Let b be -1 + (g - -7) - (-4 + -1). Solve -2*i + 5*i = -b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4411911 to the power of 1\/2, to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -45 (b) 0.1 (c) 62 (d) 1\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3218693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3734 - 123214\/33. Let p(q) be the second derivative of 10*q - c*q**3 + 0 - 1\/66*q**4 - 16\/11*q**2. Factor p(l).\nAnswer: -2*(l + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 2) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 2*o + 2, 18*o = -5*g + 15*o - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0. Let i = -0.9207 - -1.2207. What is the smallest value in i, -0.3, 1, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2376 - 915 + 3418)*(1 + 2*y - 1).\nAnswer: 9758*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*m - 21*m - 112 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/(3\/9). Let y = 42 - 46. Let s be (y\/3)\/(-4 + 10). Which is the closest to 1\/6? (a) s (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 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 next in -52042, -52036, -52030?\nAnswer: -52024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 17 - (-7 - -4 - 7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.78 + 2.38. Suppose -11 = -f - 6. Let u = 2.06 + -0.06. What is the third biggest value in f, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -18*x**2. Let a(n) = 4357*n**2. Give z(a(i)).\nAnswer: -341702082*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (0 - 0\/(-1)). Put -2, b, 4 in descending order.\nAnswer: 4, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let a(d) = -4*d + 1. Let b(o) = -17*o - 91. Let k(v) = -4*a(v) + b(v). Give k(s(z)).\nAnswer: -z**2 - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1740079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -827 - -1015. Let g(a) = a**3 + 4*a**2 + 2*a - 1. Let d be g(-2). Suppose d*o = -4*n + t, -99 - 195 = -5*o + 3*n. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188417 not equal to 188418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7991784239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800*x**2 - 687 - 986 + 1673 + 2*x.\nAnswer: -800*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-572)\/(-3)*(-3)\/(-2). Let d = r + -145. What is the remainder when d is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -15) + -24 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1040*i - 1 - 407*i + 1.\nAnswer: 633*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6*c + 3*f - 15 = 0, f - 5 = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325 * -3.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13128605?\nAnswer: 5, 7, 375103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 984845 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3116 + -21755\/7. Find the common denominator of d and 39\/169*(-16)\/30.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.319916 millennia in centuries?\nAnswer: 63.19916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 d when three letters picked without replacement from dhehl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3704.875 - 3667. What is w rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbnb. What is prob of sequence bnnb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1053 and 1662?\nAnswer: 583362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 223 and -4221877.\nAnswer: -4221654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(((-24)\/(-68))\/3). Let g = 20 - y. Solve 0 = -r - s + 3, r - g + 0 = s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (16\/42 + 2\/7)*36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 22, 41, 58, 67, 62, 37, -14?\n\"Answer: -p**3 + 8*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*g*k*o - 2*g*k + 341*g*o - 2*g + k**2*o + 4*k wrt k?\nAnswer: -9*g*o - 2*g + 2*k*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.8818 + 569772.\nAnswer: 569756.1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/4 + l**3 - l**2\/2 + 2*l - 3. Let a be b(-3). Let o be 4\/12*(1 - 10). Sort o, 1, a.\nAnswer: o, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 95*s**9\/504 + 149*s**5\/60 + 2*s**2 - 80*s. What is the third derivative of z(a) wrt a?\nAnswer: 11400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 281, 560, 841, 1124, 1409, 1696, 1985?\n\"Answer: t**2 + 276*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-41)\/5)\/((-5)\/25). Suppose -4*c + 7 = -b. Suppose -2 = 2*o, -d + 3*o - 7*o = -7. Is c bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 3*q + 3*q)*(-2 + 3 - 2)*(-1 + 2 + 10)*(-856 + 245*q + 856) as z*q + o*q**2 + i and give o.\nAnswer: -2695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3674 - -3672. What is the closest to g in -1, -17\/2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/25 (b) 1555 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:22 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 531*p - 96*p + 536*p + (4*p - 2*p - p)*(3 - 1 - 3).\nAnswer: 970*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -10 (c) 2 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u - 2 + u**2 - 3 - 3 + 4*u. Calculate z(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61359 and 24069.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:50 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 2*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - k - 11 + 2 = 0, 0 = -5*m + 3*k + 11. Find the third derivative of -41*y**2 + 4*y**m - 29*y**4 + 4*y**2 wrt y.\nAnswer: -600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26453031?\nAnswer: 3, 11, 801607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001078481097 rounded to 5 decimal places?\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 6*f**2 - 7*f + 4. Let h be x(7). Solve -3 = 3*t + q, 2*q - 6 = h*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*t**2*w - 407*i**2*t*w - 2*i**2*t - 63530*i*t**2*w + 90*i*t*w - 3*t*w wrt t.\nAnswer: 4*i**2*w - 127060*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2))**(-1\/12)\/(m\/m**0)**(-6))\/((m\/(m\/(m**(-2\/7)*m)))**(-21)\/(m**(-2\/9)\/(m*(((m\/(m*m**(-2\/13)*m))\/m)\/m)\/m*m*m*m))) assuming m is positive.\nAnswer: m**(19265\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = -6*h + 33. Let o = h + -85. Solve 0 = 4*u - 0*n - 3*n + 8, u + o*n = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**5\/5 + 648189*w**4\/5 + 7002677448*w**3 + 105034328088*w**2\/5 - 518544*w - 28009154160 = 0.\nAnswer: -108030, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 875 and 429380.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5)*(l - l - l**3) - 4*l**3 + l**2 + 0*l**2 + 2*l**3 - 5*l**3 - 9*l**3 - l**3.\nAnswer: -22*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -53. Solve 4*g + 10 = -3*o, -o + 2*g - m*g - 14 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.4, -12, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0033004973+0.09015\nAnswer: 0.0934504973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 0.0662 (b) 5 (c) -12 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 45 + 1 = 0. Suppose -g*h + 29 = -161. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3213 times 5?\nAnswer: -1.6065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 8. Let j(y) = 1 - 33*y - 25*y + 57*y. Let c be ((-1)\/1 - -6) + 1. Let v(s) = c*j(s) - m(s). Find the first derivative of v(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - 16. What is the remainder when r is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o - 7. What is k(-8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 2*h + 1. Let s be 5\/2 + (-6)\/12. Suppose -8 = 3*v + 5*q + 9, 0 = -v + s*q - 2. Give w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 131, 165, 227, 323, 459, 641?\n\"Answer: y**3 + 8*y**2 + 3*y + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:08 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -21 - ((-10 - 56) + 50).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 1 (c) -1 (d) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 3, -3\/4, 1140, -11\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/7 + 1276*k\/7 + 2568\/7.\nAnswer: -4*(k - 321)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 1) + 12*(-8)\/(-16). Let g(u) = v*u - 14*u + 5*u + 3 + 7*u. Give g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 814 and -0.03.\nAnswer: 813.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) + (-1)\/(-3). Let o be (2 - 18\/(-4 - -7)) + 1. What is the nearest to u in -2\/5, o, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20182538 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvwtw. What is prob of picking 3 w and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Let q = 0 - d. What is the closest to q in 4\/9, -2\/17, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/20, -2\/39083, -4, 0.6?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 133*x**2 + 15*x + 18. Calculate s(-1).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:00 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/6)\/((-3)\/(-6)). Let m be 6\/15 - 24\/(-15). Suppose -v - 8 = 3*z, m*z = 3*v + 2*v - 28. Solve -v = -g*p + 6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/17060 and -51\/28816.\nAnswer: 122900240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aasaasasas?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 157216 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/12168 and 149\/51714?\nAnswer: 206856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/6 + 7*x**3\/3 + 10*x**2 + 25*x\/3 - 125\/6.\nAnswer: (x - 1)*(x + 5)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4610648 is divided by 708.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(120373 - 120373 - 3232*k).\nAnswer: 6464*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*r + 19, -r - 2*g - 2 = r. Solve -r*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1388 - -2?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.5. Let x = -3.9605 - 0.0395. What is the closest to 2 in 5, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 26875239?\nAnswer: -26875238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/12 and -19\/64046166.\nAnswer: 128092332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 316 and 19750.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**4 - 4. Let v(t) = -t**4 + 1. Let x(i) = k(i) + 5*v(i). Differentiate x(u) with respect to u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 + 186*x**2 - 7834*x - 54340. Give v(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47172 is divided by 7842.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1110*j - 222948. Calculate o(-201).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0)\/(w**(-2\/7)\/w*w))\/((w\/(w**(2\/3)*w))\/(w\/(w*w**(-3\/4))))*((w\/(w\/(w*w\/w**(1\/2))*w))**(-29))**7 assuming w is positive.\nAnswer: w**(-8299\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/8, -1\/12, -0.4, 0, -6\/509 in increasing order.\nAnswer: -5\/8, -0.4, -1\/12, -6\/509, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 485*p**2 - 6*p + 44. What is the units digit of a(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 u when four letters picked without replacement from uuuzzzmzmuu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*b + 6 - 30, 0 = -2*t - 3*b + 39. Let r = t + 2. What is the greatest common factor of r and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/108426345 and -143\/4231272.\nAnswer: 867410760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = -9. Let z be t - (-5)\/2 - 0. Sort z, -1\/10, 2\/7 in increasing order.\nAnswer: -1\/10, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 - (-2 - (-1 - (18 - 10))))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 26*n**2 - 14*n + 27. Let y be c(3). Factor -207 - 3*j**2 - j**2 + y - 8*j + 0*j.\nAnswer: -4*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwv when three letters picked without replacement from {m: 4, f: 2, w: 1, l: 1, v: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -228*w - 3. Suppose 0*k - k - 2 = 0. Let u be y(k). Suppose -u + 78 = -5*n. Calculate the greatest common factor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*u - 142*u = 0. Solve 4*t + 2*k = 30 - 50, u = 4*k + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*l + 304*l = -4*k + 12, 0 = -l - 3*k + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -11 (b) 1\/6 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*((-136)\/(-24) + -3). Suppose 6*q - q + p = r, 2*r - q = 28. What is the smallest common multiple of 39 and r?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*f**2 + 5*f**2 - 6*f**2)*(8*f - 2*f + 4*f).\nAnswer: -40*f**3 - 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5aec (base 15) to base 3.\nAnswer: -222112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 8*b + 6*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -3*r - 45. Calculate the greatest common factor of r and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 40*w**2 - 1. Let v be b(1). Let p = -38 - v. Let u = p + 131. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*u + 102969 + 14320 = 0. What are the prime factors of u?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g - 8*g + 14*g + 1014*g**3)*(6 - 10 + 2) in the form d*g**3 + j*g + k*g**2 + a and give d.\nAnswer: -2028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 840624, 1680984, 2521344, 3361704, 4202064?\nAnswer: 5042424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3 - 2 - 2)*(-9*v**3 + v - v).\nAnswer: 18*v**4 + 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33519.8722 from 214848.\nAnswer: 248367.8722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -168, -123, -62?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 l, and 1 t when three letters picked without replacement from gtgtttl.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.5, 70, 50, 2\/27?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*q - 8894 = q - 1640 - 632 for q.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*s**3 + 72*s**3 + s**2 - 211*s**3 + 71*s**3)*(4*s + 44*s**2 - 45*s**2 - 35*s**2).\nAnswer: -72*s**5 - 28*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.6. Let h = -1142\/7 + 163. What is the nearest to 0 in -2\/11, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h. Let z(f) = 2*f - 15. Give s(z(r)).\nAnswer: 18*r - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -19*l**3\/2 - 54*l. Calculate j(2).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62424012, -124848025, -187272038, -249696051?\nAnswer: -312120064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 650, 598, 508, 380, 214, 10?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**6 + 188761500*w**3 + 168*w**2 - 5893 wrt w?\nAnswer: 120*w**3 + 1132569000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 72934011?\nAnswer: 291736044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*g - 2*g, -4*g + 2674 = 2*b. Suppose -4*q + b + 10639 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 9157*p + 5458*p - p**2 + 1850*p + 1849*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + 3*l**3 + 3*l**3)*(101*l - 285*l + 26*l).\nAnswer: -948*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 3406382020?\nAnswer: -3406382019.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 5\/6*x**4 - 55*x + 0*x**5 + 0 + 0*x**2 + 0*x**6 + 0*x**3 + 2\/21*x**7. Find the third derivative of h(u) wrt u.\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6*2597.\nAnswer: 9349.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 330 - 55. Suppose -4*c + q + 43 = 0. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1776*d*k**3*l**3 + d*k**3 - 15*d*k**2*l**3 - 4*d*k - 102*k**3*l - 503*k**2*l**3 wrt k?\nAnswer: 10656*d*l**3 + 6*d - 612*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u + 940. Is 6\/9 + u\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u*u\/(u\/((u*(u\/u**(27\/5))\/u)\/u)))))\/u*u)\/(u\/(u\/(u*u\/u**(-27))))*(u\/u**31)\/(u*u**(-8\/5)))**(-9) assuming u is positive.\nAnswer: u**(2826\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 31. Suppose -41 = -m*j - 1. Suppose -u + j = u. Solve -2*y = 6, d = 5*y + u + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3978862673.\nAnswer: 37, 107536829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8495*p + 76436. What is n(9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 2*h + 3. Let s(u) = 2*u**2 - 4*u + 5. Let q(v) = 11*a(v) - 6*s(v). Let i(t) = 6*t**2 - 11*t - 17. What is 6*i(g) + 34*q(g)?\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 2\/18*-72.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5 - 2942*d**4 + 8774*d**3 + 49990*d**2 - 114544*d + 58720 = 0. Calculate d.\nAnswer: -4, 1, 5, 1468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4*18\/(-24))\/((4\/1)\/24)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 17 = -5*i, i + 3*r - 6*r + 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*v**2 - 42*v**3 - 49*v**2 + (-3*v + 2 + 3*v - 3*v**3)*(-8 + 26 + 1) to p*v**2 + z*v**3 + d + y*v and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -11 - -5 - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 678?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 256041, 515400, 774757, 1034112, 1293465, 1552816, 1812165?\n\"Answer: -z**2 + 259362*z - 3320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1096\/1647 + 2\/1647. Let j = -4.5 + 4. Sort 6, j, z, 0 in descending order.\nAnswer: 6, z, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjcjc. Give prob of sequence jc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 9. Let r be (3\/(-9) + x)\/2. Put r, -1, -1\/3 in increasing order.\nAnswer: -1, r, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -372 + 375. Solve 0 = g*p + 2*c + 3 + 4, 15 = p + 5*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 6*g + 7. Suppose 2 = -w - 3*c, -c = w - 3*w - 11. Let p be m(w). List the prime factors of (-1)\/(p\/(-8) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2 - o. Let x be l(-1). Let h(y) = -y**3 + 6*y**2 + 8*y + 2. Let t be h(x). Suppose p = n - t, 0*n + 3*p = 4*n - 34. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18483 - 18828 = -69*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*h - 255 = 0, 2*h = 16*g - 21*g + 237. What is the remainder when g is divided by (-3 + 4)\/(2\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 0 + 15\/3. Suppose 7 = n*z - 5. Determine r, given that 4*r**3 - z*r**4 - 13*r**2 + 5*r**2 - 4*r + 12*r**4 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23704, -42253, -60802, -79351, -97900?\n\"Answer: -18549*m - 5155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i + 100. Let b = i - -40. Calculate the greatest common divisor of 165 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 0.07, -9113 in descending order.\nAnswer: 0.07, 0.01, -9113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 + 15*d - 9. Let i be 4\/7 - 552\/84. Let t(w) = 20*w**2 - 44*w + 26. Let f(s) = i*t(s) - 17*p(s). Let q be (-34)\/(-4) + 2\/(-4). Give f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*b - 2 = -2*b, 5*b + 3 = 3*y. What is the remainder when 33 is divided by 5*-2*(2\/(-1) + y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*u + 343, 5*u + 351 = 3*l - l. What are the prime factors of l?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(1573) + sqrt(1573) + sqrt(1573) + (sqrt(325) - 5*sqrt(325)*-1))**2.\nAnswer: 21853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012199961 rounded to 7 dps?\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 12:12 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let y = 7 - z. Which is the second biggest value? (a) 2\/7 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 305. Let w(v) = 1547*v - 3089. Let z be w(2). Calculate the greatest common factor of z and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 317816, 1271362, 2860640, 5085644, 7946368?\n\"Answer: -r**3 + 317872*r**2 - 63*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -13. Let s be (16\/(-20))\/(i\/(-10)). Solve 7*h = s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178425?\nAnswer: 5, 47137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 2. Suppose c - 35 = -0*u - 2*u, 0 = -2*c + 6. Let t = -7 + u. What are the prime factors of g(t)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c - 26. Let v be w(-4). Suppose 6*i = -v*i + 488. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.1 (b) 0 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -11110110?\nAnswer: 11110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/48*(-51)\/68. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 5)*(-117 + 117 - 43*m) as s + c*m and give c.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-84)\/90 - 4\/10)*-3. Suppose -4*n = -4*s - 128, -3*n - 136 = -7*n - x*s. Calculate the remainder when 45 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123 + -1?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 12*i - 6. Let l be f(5). Put 1, 3, l in ascending order.\nAnswer: 1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 84*u + 0*u**4 - 3\/10*u**5 + 0 - 1\/6*u**3 - 50*u**2. Find the first derivative of j(d) wrt d.\nAnswer: -18*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 4. Let u = 3 - -5. Suppose -p + 2*c = -u - 2, -5*p + 3*c + 29 = 0. Give q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + 5.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*p**3 + 40*p - 37*p + 151*p**3.\nAnswer: 299*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 4.5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 47. Let d be l(-22). Let u be 2\/d + 3543\/9 - 0. Suppose 5*x = 3*c + 482, -2*c = 4*x + 3*c - u. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -5, -2\/15, 2\/21, -42.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 49*h + 159. Let a be y(-4). Put -7, a, 5\/8 in increasing order.\nAnswer: -7, a, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4260, 17041, 38352, 68199, 106588, 153525, 209016?\n\"Answer: u**3 + 4259*u**2 - 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6008 (base 10) to base 4\nAnswer: 1131320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 0*u - 5*u + (-1 + 0 - 2)*(-5*u + 4*u + 0*u) + (1 + 0 - 5)*(-u + 0*u + 2*u) to v*u + x and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 475 + -147. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1)**(-6\/13)\/((t**9\/t)\/(t\/(t*t\/(t\/t**(-2\/17))*t*t*t))))**(-38) assuming t is positive.\nAnswer: t**(7030\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2233, 9047, 20409, 36319, 56777?\n\"Answer: 2274*c**2 - 8*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141 and 12.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 10, 3*u - 4*u + 13 = 5*z. Suppose 12 + 68 = 16*p. Solve 0 = p*g - z*s + 22, 5*s = -2*g - 21 + 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p*u**3*x**2 - 539*p*u**2*x**2 + 2*p*u**2 - p*u*x**3 - 2598980*u**3*x**3 + 7579*u**3 - 2*x**2 wrt x.\nAnswer: -6*p*u - 15593880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638242.\nAnswer: 2, 313, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2133?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4082 by -2229.\nAnswer: 4082\/2229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 102*p + 23956. Determine m(-242).\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21330 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2005, 16298, 55221, 131128, 256373, 443310, 704293, 1051676?\nAnswer: 1497813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assooaaa. Give prob of picking 1 s, 1 o, and 1 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -135. Let y = -109 + p. Let x = -21 - y. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*x + 5. Is 106\/(-3)*9\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*y + 125*y - 8372 = -91*y. Calculate the least common multiple of 1048 and y.\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -907, -1808, -2705, -3598, -4487, -5372?\nAnswer: -6253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147555350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950160.\nAnswer: 2, 3, 5, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 106 - 2*p**2 + 3*p**2 - p**3 + 7 as k + n*p + h*p**2 + y*p**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 8*y**2 - 9*y - 13. Let j be a(-8). Suppose o - j = -2*z, 0 = o - 3*o - 5*z + 117. What is the remainder when o is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2*h**2 + 0*h**2 - 7.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s**4 - 260*s**3 + 1716*s**2 - 1452*s + 16. Let h(l) = 4*l**4 - 86*l**3 + 572*l**2 - 484*l + 6. Let m(y) = 8*h(y) - 3*i(y). Factor m(w).\nAnswer: -4*w*(w - 11)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.102*0.3.\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.065768, -1, -0.1 in decreasing order.\nAnswer: 0.065768, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/40 + x**5\/5 + x**4\/8 - 2*x**3 + 92*x**2 + 2*x. Determine z, given that o(z) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843*w + 1368 = 672*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37129 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) 2\/3 (c) -824\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/5 - 712*l**3\/5 + 148984*l**2\/5 + 37798656*l\/5 - 5636671488\/5 = 0. Calculate l.\nAnswer: -336, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.305543 grams in tonnes?\nAnswer: 0.000006305543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 - 2 = 0. Suppose q*n - 5 = -0. Is 3\/17 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/190)\/((-15949)\/778).\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 16322 = 1925. Let n = v + 6840. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**3 + 7*n**3 - 60 + 10*n**3 - 7*n**3 + 611 - 2*n**2 in the form g*n**3 + c + r*n**2 + a*n and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u + 7 + 14*u**2 - 26*u**3 + 15*u**3 + 12*u**3 - 46. Let i be d(-14). Solve 6 = -2*r, 0*m - 2*m - i = 5*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {y: 4, z: 3, s: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 0.4, 1\/9, -6, -3\/29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -9.2. Let v = l + 4.2. What is the third biggest value in -1, 1\/8, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from ivqdpniqvdipqppd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttc when three letters picked without replacement from {w: 5, i: 6, t: 3, x: 1, c: 5}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151307231.\nAnswer: 151307231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19464, 38928, 58392?\nAnswer: 77856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108088203 + -108088198.99999935. Let t = -19 - -23. Let m = k - t. What is m rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 = -7. Let b(c) = -2*c**3 - 3*c**2 + 3. Let j(p) = -5*p**3 + 2*p**2 - 4*p**3 + 6*p**3 - 2 + 4*p**3. What is x*j(q) - 2*b(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 276*r**3 + 2*r**2 - 33*r.\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248\/85 + -36\/17. Let g = 4 - 6. Let y be (-15)\/6*g\/(-20). Put t, -2, y in descending order.\nAnswer: t, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/47983697 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let b = -59 - -74. What is the remainder when (4 - 0)\/(j\/22) is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162800 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 255 = 4*z. Let o = -21 + z. Let v be ((-29)\/3 - -8)\/(-3 - 62\/(-24)). Solve -v*d + o = -9*d - 4*g, g = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 + p - 20. What are the prime factors of t(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g**(-34)\/g)\/g)\/g)\/g*g\/g**(-11) assuming g is positive.\nAnswer: g**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 6.4?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 241 (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 1\/3*l**4 - 5*l - 1\/20*l**5 + 5*l**2 + 5\/6*l**3 + 0. Calculate the least common multiple of r(5) and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -16*i + 84. Let u be a(-6). Suppose 31*m - u = 37*m. Let x = m + 30. Solve 4*b + 2 = b - 4*w, x = 5*b + w - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4955*c**4 - 10*c**2 - 154820*c?\nAnswer: 59460*c**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22564 (base 7) to base 13.\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-61020)\/1260)\/(-113))\/((-3)\/(-553))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1)\/(c*c\/(c\/(c\/(c**6\/c)))))**(-1\/51)*(c**(-1)\/c)\/c**0*c\/(c**(1\/4)\/c)*(c*c**(-2))\/c assuming c is positive.\nAnswer: c**(-479\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15219206.\nAnswer: 2, 1733, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*o + 75*o = -12415. What is the remainder when o is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/4)\/(s*s**(-7\/3))*s**(-5)*s*s**(-2\/9))**0)**38 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.578 take away -0.04?\nAnswer: 23.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.7, 12397, 3 in descending order.\nAnswer: 12397, 7.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*v + 2243 = -2839, 1020 = y + 2*v. Is 39 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = 21*a + 60 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 11 (c) 1\/2 (d) -4\/29 (e) 0.1 (f) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2776392m?\nAnswer: 277.6392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.42 - -3.58. Let y = 16\/115 - -6\/23. What is the nearest to 1 in f, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111066, 221813, 332560, 443307?\n\"Answer: 110747*j + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*i*z**2 - 6*i*z + 572*i + 118*z**2 + 30*z wrt i?\nAnswer: -5*z**2 - 6*z + 572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150.8412 hours to seconds.\nAnswer: 543028.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**1*(y*y\/(y*y**(-7)))\/(y**(-7)\/y))\/((y**9*y)\/(y*(y**(-2)\/y)\/y))**(-2\/39) assuming y is positive.\nAnswer: y**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4 - -1)\/((-2)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*d + 542*d + 13176 = -368*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 212 or 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 614642077*p + 535973558 wrt p.\nAnswer: 614642077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c - 6. Let u(k) = 15*k - 11. Let z(a) = 11*o(a) - 6*u(a). Let n(w) = -2098*w - 2. Calculate z(n(r)).\nAnswer: 4196*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let o(p) = -p**2 + 54*p. Determine a(o(u)).\nAnswer: -u**4 + 108*u**3 - 2916*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106342668 by 26585667.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 2*b - 2. Suppose -3*g - 3*p = -p - 21, 3*g - 3 = 4*p. Suppose -6 = 4*l - 3*l + r, -g*l - 27 = 4*r. What is y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(35\/(-10)) - -2. Solve -y*z + 13 = -3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19352678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 divided by 17?\nAnswer: 422\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 536609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*k**3 - 385*k**3 - 2*k + 9*k - 10*k + 555*k**3.\nAnswer: -71*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6 = z, -2*j - j - 10 = -z. Let l be 118\/6 + (-3)\/(-9). What is the highest common factor of l and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/6 and 9\/19.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 10.11. Let l = -2.11 - j. Are l and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58920794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -73. What is the remainder when 9 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1960)\/1470*(-2)\/((-8)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135113*w**2 - 4834*w + 19?\nAnswer: 270226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, b: 4, h: 6, p: 1}. What is prob of picking 3 b?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -389cb (base 15) to base 4.\nAnswer: -230031203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 1. Suppose -6 = 5*s - 3*s. Determine j(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -457, -1, -3, 2.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 4*t - 9. Suppose -3*v - 5 = -4*v. Let r be q(v). Let p be 2\/(-9) + (-302392)\/r. Round p to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -17*o**2 + 164*o + 1999. Suppose -3*y = -2*y - 7. Let d = y - -1. What is the lowest common multiple of f(-7) and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2295 + 2335. Sort 2\/9, 5, x, 2, -8 in decreasing order.\nAnswer: x, 5, 2, 2\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7c (base 14) to base 6\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30944, -63932, -96920, -129908, -162896, -195884?\n\"Answer: -32988*g + 2044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026291915 to five decimal places.\nAnswer: -0.00263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -280f26 (base 16) in base 11?\nAnswer: -1533493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54233*d + 54231*d - i = 9, 6*i = 6*d + i + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8939389.\nAnswer: 2003, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 736 divide 110403680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-50)\/(-20) + (-54)\/20. Let g = 0.6 + -6.8. Let p = g + 1.2. Which is the third smallest value? (a) 0.5 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejvq when four letters picked without replacement from {e: 2, q: 5, v: 3, j: 2}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -181.3\nAnswer: -543.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3921385 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -15.07. Let d = -0.27 - w. What is the nearest to -2 in 2\/7, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13\/11 - 10\/55)*11. Suppose 4*o = -4*f + 336, f = o - 78 - 8. Suppose 47 + o = 4*q. Solve 4*g - r + m = 0, g - q = 3*g + 5*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1622.19 - -1622. What is the third biggest value in 0.7, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, a: 3, n: 5}. What is prob of picking 2 h and 2 a?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598782123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1660\/12 - (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.045428m?\nAnswer: 9045.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 175? (a) 3 (b) -2 (c) -1 (d) 4943.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 - (-3 - -2))) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378778398 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkygqjkaakga. What is prob of sequence yk?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 6:38 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 463, 1544, 3339, 5842, 9047, 12948, 17539, 22814?\n\"Answer: -r**3 + 363*r**2 - r + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1227 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 147, 215, 283?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8102, 21604, 35106, 48608?\nAnswer: 62110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 10*g**2 + 2*g - 24. Let f be c(10). Let a = 8 + f. Suppose -b + 2*b + 4*j - 42 = 0, -a*b = 4*j - 156. Is 28 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 17 + 22*o**3 + 11 + 12.\nAnswer: 22*o**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/3 + 2\/(-6). Let g(b) = b**2 - 138*b + 1 + 7 + 148*b. Calculate g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 5:12 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((1 + sqrt(162) - sqrt(162)) + -3 + -3)*6)*-6.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*k = 4240 + 12168, v + k = 4109. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26958250 and 363?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5\/7 + 171*q**4 + 368251*q**3\/7 + 6025227*q**2\/7 + 4550080*q + 7310100 = 0 for q.\nAnswer: -590, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -875\/52 - -105\/13. What is the common denominator of 85\/8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*f = 0, 10 = 3*b - 2*f + 8. Let v(k) be the first derivative of 0*k**b + 0*k + 1 - 1\/3*k**3. Let o(m) = -4*m**2. What is o(v(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggikiiggkiiikgkiigi. Give prob of picking 2 i and 2 g.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 1}. Give prob of sequence lh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2749?\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*o**2 - 127*o**2 - 23*o + 64*o**2 in the form f + n*o**2 + q*o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*10147*(-11)\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 8*g - 2010611, -273065 = -g - a - 21743. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2519 - 72*p + 2519 + 0*p + 0*p + p + (4 - 4 + 3*p)*(3 - 1 + 0) + (-p + 0*p + 4*p)*(2 - 2 + 1).\nAnswer: -62*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*d - 629*d + 211*d = -207*d + 340 for d.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:26 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2364 is divided by 135?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2413\/57 + (-1)\/3.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1086, -2211, -3382, -4611, -5910, -7291, -8766?\nAnswer: -10347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {x: 5, p: 5, j: 1, d: 4, g: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - 1 - (1 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46577039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3711129306.7 to the nearest ten thousand.\nAnswer: -3711130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2206919 and 7004569?\nAnswer: 161105087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 75*j**2 + 33*j + 8. Let o(m) = 81*m**2 + 38*m + 9. Determine 6*c(x) - 5*o(x).\nAnswer: 45*x**2 + 8*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -460 - -455. Let b(t) = -t**2 - 4*t + 11. What is b(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13089587.74 to the nearest one hundred.\nAnswer: 13089600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 32387988?\nAnswer: 32387988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (-5 - 14 - -29).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1193 and 4203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*y + 77, -548*n + 549*n - 4*y = 7. Sort n, -1, 50, -4 in ascending order.\nAnswer: n, -4, -1, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 4*w**2 + 4*w - 3. Let m be d(-5). Let t(k) = -8 - 23*k + k**3 - 29 - 19*k - 22*k**2 - 2*k**3. Let r be t(-20). Solve 5*b + m = r*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 l when four letters picked without replacement from lllrrrrlllrlrllllll.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine fifths of a millennium?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 826412763*b**3 - 142*b**2 + 5218*b + 19?\nAnswer: 4958476578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -643 (base 9) to base 3\nAnswer: -201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1*0\/(-3). Suppose 4*v - 5*f + 10018 = m, -3*v - v = -4*f + 10020. Let r = -1993 + v. What is r rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/96)\/((-3)\/(-4)) + -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 45. Suppose 0 = 2*q - a*c - 98, 122 = 4*q - q + 2*c. Let o = -46 + q. Sort -2\/5, o, 0.\nAnswer: o, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k + 1 - 5*k - 2*k + (-9 + 20 - 2)*(6 - k - 6) in the form c*k + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j + 15750 = -22*j. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*27\/(-108)*(-4)\/40?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24771 - 24771.2. Which is the nearest to g? (a) 84 (b) 5\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109, -285, -461, -637, -813, -989?\n\"Answer: -176*w + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51\/4 in 0.213, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 60682 = 5*y, 2*y = 23*r - 25*r + 30332. Is r a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6 + 5*n**2 + 2*n + 9*n**3 + 7*n**3 - 80*n**3. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-105)\/56)*26\/(1144\/(-1155)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (98\/(-24) - -4)*-2. Let o = -12 - -12.1. Put o, z, -0.4 in ascending order.\nAnswer: -0.4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493 = -5*j - 332. Let d = -8 - j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10188.1 + -10302.4472. Let b = 0.0472 + t. Round b to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -11. Let d = 2 + c. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*f - 11577430*b**2 + 4444030*f**2 wrt f?\nAnswer: 2*b**2 + 8888060*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1351 - -1349. Put -0.5, 10, 5, w in ascending order.\nAnswer: w, -0.5, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537*y + 3789 = 94472 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -71*c**5\/2 + 325*c**4\/6 - 2*c**2 + 272*c. Find the second derivative of f(p) wrt p.\nAnswer: -4260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 252*h**2 + 448*h + 13638. Give r(250).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 147*o - 19552. Determine r(233).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9a3 (base 11) to base 8\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 0.6 (c) -1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s*s**0*s)\/s)**(-14))**34\/((s**(-1)*s)**(1\/58)*s**(1\/5)*s**(-1\/2)) assuming s is positive.\nAnswer: s**(-14277\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/78)\/2 - ((-8568)\/(-546) + 15)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000132055 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 184*d + 0*d**2 - 80 + 115\/2*d**4 + 0*d**3. Differentiate w(a) wrt a.\nAnswer: 690*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4*-1*sqrt(18) - sqrt(18)))**2 + -4*(sqrt(224)\/sqrt(7) - ((sqrt(32) - sqrt(2))*2)**2).\nAnswer: -52*sqrt(2) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-8) - (-2)\/(-8). Suppose 6 = m*h - 36. Let r be (-734991)\/(-21) - (-9)\/h. Round r to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*i - 5*o + 730, 5*i - 2*o = -3742. Round i to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.4 (c) -0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.7 + 18.6. What is the nearest to n in 4\/7, 2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337682239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -3, 0.21, 18, -1\/5, 6\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 7) to base 13\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z + 4*z + 3*z. Let x(n) be the first derivative of -n**2\/2 + 3. What is d(x(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111896 divided by 568.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 108 = 3*c, 52 = 2*u + 2*c - 3*c. Let i be 14 + 4\/(-2*1). Calculate the highest common divisor of u and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/6 - 4804*f**2\/3 + 12938240*f\/3 - 2167603200.\nAnswer: (f - 4480)**2*(f - 648)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(486\/(-27)))\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173212719.\nAnswer: 7, 29, 83, 179, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1351103 (base 7) to base 11.\nAnswer: 113654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -6 + (4 - 4) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -484034 divided by -211\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + 96\/180. What is the smallest value in t, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 3 - (0 - -6). Let f = q - -3. Let y be 3\/6 - (-6)\/f. Which is the second smallest value? (a) -0.2 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 84*t**2 + 1291*t + 161. What are the prime factors of y(72)?\nAnswer: 5, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9835137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -101331301322?\nAnswer: -101331301313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 1249.\nAnswer: -45\/1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1406856 and 43032?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 942, 0, -20, -2, -3 in decreasing order.\nAnswer: 942, 0, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14456 times -1?\nAnswer: 14456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a hour?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 164\/(-328)*(6 - (-1460)\/(-230))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27021713 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 1. Let k(z) = -6. Let a(x) = -k(x) - 4*u(x). Let q(p) = -4*p**2 + 3*p + 4. Let b be q(3). Let c = -20 - b. Calculate a(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29174 and 696?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 6*x**3 + x**3 + 5*x**3 + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 1\/12*t**4 + 2 - 27*t + 21\/2*t**2 + 5\/3*t**3. Give k(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x + 1. Let t be z(2). Let a = 413 - 354. Suppose -t = -3*u - c, c = -5*u - 0*c + a. Solve 4*v + u = 4*w, v + w + 1 = 4*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699*-29\nAnswer: -20271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3270 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*h + 27*h - 23 - 136 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.8416 centuries in millennia?\nAnswer: 17.28416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.31\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 53*l**2 + 4*l - 206. Determine f(53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/36*6\/(-22). Which is smaller: -0.3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 6*g**2 - 7*g - 8. Let f be j(-6). Let k = -22 + f. Is 2 a factor of k\/(-66) - 202\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12524753 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 3730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -2 (b) 2\/157 (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -183255, -733013, -1649275, -2932041, -4581311?\n\"Answer: -183252*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/65790 and 123\/430?\nAnswer: 65790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - 177*i**4 + 0*i**2 - 551*i**4 + i**2 + (2*i**3 - 5*i**3 + 2*i**3)*(i - 1 + 1) + (2*i**3 + 2*i**3 + 0*i**3)*(-i + 0*i - 2*i).\nAnswer: -741*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15993 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 26029\nAnswer: 8\/26029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340 - -550. Let f be 152\/(-11) + 8\/(-44). Is (f\/(-6))\/(10\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*t + 1, -2*f = 1735*t - 1732*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 9:34 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 24. Calculate the greatest common factor of v and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w + 56. Suppose 32 + w = 5*b. Suppose -o - 3*o = -b. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 0*p**3 - 2*p**3 + (0 - 2*p**2 + 0)*(0*p - p - p) + 2*p**3 + 2*p**3 - 3*p**3 - 23*p**3 + 19 + 50*p**3 - 22*p**3.\nAnswer: 8*p**3 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79\/1035 + -2\/207. Sort 2, m, -5 in descending order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135872.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 2. Let j(i) = -13*i**2 - 10*i - 10. Let u(k) = -7*k**2 - 5*k - 5. Let c(d) = 6*j(d) - 11*u(d). Let n = 448 + -443. Calculate n*o(q) + 2*c(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7200 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Factor 6*f**2 + 12*f**2 + 7*f**3 + l*f - 2*f**2.\nAnswer: f*(f + 2)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287 by 3690677.\nAnswer: -287\/3690677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.78 + 4.88. What is the closest to c in -3, 4, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22191530?\nAnswer: 2, 5, 2219153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-266))\/(372\/24 + -16)*-7\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1038\/215 at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -165\/4. Let n(v) = -v**2 - 6*v - 2. Let t be n(-5). Let f = -0.03 - 3.97. What is the closest to -0.1 in t, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/70*4)\/(22\/(-462)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202330 + 11132103?\nAnswer: 12001033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 119*v + 5 - 132*v + 2 - 3. Let u(b) = -2*b**2. What is n(u(p))?\nAnswer: 26*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4833369066 to the power of 1\/4, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/7 - 52656*i**2\/7 - 229981716*i\/7 - 333034410040\/7.\nAnswer: -4*(i + 3790)*(i + 4687)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 108. Suppose c*l + 58 + 2 = 0. Which is smaller: -28 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-13 - 0) + (-8 - (-20 + 9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12006716521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167730482 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -45.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(2\/7)\/p*p)\/p))\/(p**4\/p))**45\/(((p*p*p**(-3\/2))\/p*p)\/p**8*((p*p\/(p\/((p**1*p)\/p)))\/p)**(-2\/5)) assuming p is positive.\nAnswer: p**(-3497\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 - -206. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h + 9. What is the remainder when i(-8) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -246, -249, -252, -255, -258?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12051*f*i**2 + 2*f*i - 553406*f + 8283*i**2 + 2*i wrt i.\nAnswer: -24102*f + 16566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1492, -1989, -2490, -2995, -3504, -4017, -4534?\n\"Answer: -2*x**2 - 491*x - 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403217465 is divided by 96.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32167500 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -2. Let u = l + 6. Let y = u - -3. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -136, -138, -140?\n\"Answer: -2*w - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9929 + -9928.22. Is 8 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n + 2851 + 2847 - 8552 - 2*n**2 + 2853. Let a(d) = -d**2 + d. What is 3*a(j) + c(j)?\nAnswer: -5*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u - 61*u + 987 + 35 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -15 + 9 + 2 + 4824.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**4\/7 - 27*f**3\/7 - 39*f**2\/7 + 27*f\/7 + 6 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256146 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 10530*u - 722425.\nAnswer: -5*(u + 71)*(u + 2035)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 13\nAnswer: 112\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 165\/4. Which is the second smallest value? (a) n (b) -0.08 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 59*b**2 - 157*b**2 + 38*b**2 + 41*b**2 + 24*b**2.\nAnswer: 5*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q**3 + 1050*q**2 + 13*q + 1261. Calculate b(-70).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) - (-5 - (-27)\/6). Let l be 2 + (3 - b) + -2 + 0. Solve -2*f + 8 = 2*o - l, 2*f - o + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eefefeffffffeeef. Give prob of sequence eeef.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54207408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*c + 9 = 2*v + 69*c, 4*v + 2*c = -18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 4:09 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 15 = g, -4*x = 2*g - 0*g + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 168 = -2*m, -4*m - l + 2*l = -301. Suppose 0 = -3*t - 3*c + 33, -4*c = t + c + 5. Calculate the remainder when m is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) -2.4 (c) 87 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108155 divided by 5.\nAnswer: 21631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127961*n**4 - 2*n**3 + 6*n**2 + 174467*n?\nAnswer: -1535532*n**2 - 12*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117845 = 36*t - 115073 for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 49360.45\nAnswer: 24680.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 15 = 123. Let m = 47 - n. Suppose 0 = -4*i + m + 20. Solve i = 3*f - c, -3*f = -0*f + c - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0, 2, -43847.\nAnswer: -43847, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2. Let w(l) = 475*l**2 - 493*l**2 + 738*l**2 + 1615*l**2. Determine w(i(z)).\nAnswer: 9340*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 7 + 25. Let q be 6\/(-6)*(d + 0). Let c be 1*(-1 - 0) + 5. Is c != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 71, 228, 489, 854, 1323, 1896, 2573?\n\"Answer: 52*d**2 + d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4)\/(-8 + 7) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.15?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f + 21*f - 4*f**2 - 47*f - 273 + 273.\nAnswer: -4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, l: 6}. What is prob of sequence nlln?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*h = -376338, -14*b = -31*b - 5*h + 3198969. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*l - 72 = 0, 0 = 4045*t - 4041*t - 8*l + 120 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81863043 to the nearest integer?\nAnswer: 9048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1962438 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -82.21246.\nAnswer: 16.442492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/6 + 58\/(-87).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*j + 17. Let y be j\/(-3)*-3*1. Let o be (-548)\/(-7) + y\/21. Round o to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*l = -107*l + 312. Calculate the smallest common multiple of l and 12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9109 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32861 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/21 - 6\/18 - (-445896 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/12)\/(1\/24). Let f = 24 - k. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-16))\/(18\/16)*228\/8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Suppose 0 = -5*l - 25, 3*l - 53 - 88 = -4*h. Calculate the remainder when k\/8 - 598\/(-8) is divided by h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*f - 8732 - 8730 - 8730 + 26192.\nAnswer: 61*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24827.\nAnswer: 11, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f**2 - 15*f + 6. Let u(o) = 261*o**2 + 103*o - 94. Let r(d) = 111*d**2 + 44*d - 40. Let w(s) = 33*r(s) - 14*u(s). Give 5*c(b) + 7*w(b).\nAnswer: -2*b**2 - 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/6)\/((-16)\/(-192)*9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29241799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 78*d = -10*d - 509533. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -243215366, -243215370, -243215374?\n\"Answer: -4*w - 243215362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*l + 157*l = -72774. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10208*u**4 - 8617*u**3 + 25*u**2 - 1018436*u?\nAnswer: -244992*u - 51702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70.45 - -70.35. Which is the smallest value? (a) 3\/8 (b) g (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19276, -37462, -55648, -73834?\nAnswer: -92020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8638 = -d, -2*k = 2*d - 3*k - 17303. Suppose -3*q - d = -13*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7634671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 0*j**2 + j**2 - 2*j**2 + 0*j**2. Let u(v) be the first derivative of 2*v**2 - 12. Calculate z(u(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 1. Let j(q) = -q - 2 + 7*q + 5 - q. Let p(z) = -j(z) + 4*x(z). Suppose 0 = 5*a - 3 - 7. Determine p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-1\/6)*w)\/(w*w*w**(-2)))**(-3\/26) assuming w is positive.\nAnswer: w**(-19\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 20 = 0, -8*q + 1 = -5*q - v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 32. Let d(g) = 3*g**2. Let i be d(-1). Suppose v = 4*v - 3, 5*r + i*v = 18. What is the remainder when h is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2348 - 122*o + 2348 in the form a + u*o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 43 - 166. Suppose 2 + 2 = 2*s. Suppose c = 4*x - 57, 3*x - c - f = -s*c. 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: What is -1764144 divided by 882072?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/2 in 95.7, -0.006, -0.4?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001524 rounded to six dps?\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 379334 and 482.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -14. Let z = -1 - -0.7. Which is the second smallest value? (a) z (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/2*(15\/9 - 1). Which is the smallest value? (a) 4 (b) 3 (c) -2\/7 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3\/3 - 16*q**2\/3 - 17*q\/3 + 4\/3.\nAnswer: (q - 4)*(q + 1)*(5*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*d**4 - 182447*d**3*l**2 + d*l**2 - 41018289*d*l + 2*l**2 - l + 1 wrt d.\nAnswer: -2124*d**2 - 1094682*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 63*l**2 + 60*l**2 + 29 + 185 as d*l**2 + f*l + s and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmtmmt. Give prob of sequence tmtm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 11*m**2 - 9*m + 8. Let f be x(-10). What is the closest to -6\/5 in -2\/7, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**2\/2 + 9*s - 5. Let w be n(-9). Let u = 7 + w. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -870 - -558. Let v = n - -312. Which is bigger: v or -1\/236?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ec (base 16) in base 14?\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/((-2331)\/(-588))*30)\/4?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u. Let a = u + 2. Suppose 0 = z - a*r - 33 + 11, -3*z - r + 31 = 0. What is the remainder when 22 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 2.8, -61842, 3 in decreasing order.\nAnswer: 3, 2.8, 0.2, -1, -61842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*q = 47, q + 27 = -4*g - 39. Which is the second smallest value? (a) g (b) 1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2. Let w(x) = -49*x**2 + x. Give w(q(k)).\nAnswer: -1225*k**4 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*q - 1, 3*v - 4*q + 6 = v. Let b(c) = c**2 + 9*c + 10. Let t be b(v). Let h(y) = y**2. Is h(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -683 - -66?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -748622*u**2 + 374306*u**2 + 374311*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(228)*-2*1)\/(sqrt(72)\/((1*sqrt(42))\/sqrt(7))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.7542524 rounded to one dp?\nAnswer: 49.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -79 - (-31 - (41 - (27 + 57)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3310 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 110*w**2 - 37*w - 339. What is the ten thousands digit of j(58)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-45)\/(-6)))\/(1\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) 2\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(8640) - sqrt(8640)*1) + sqrt(8640))*3 + sqrt(8640)))\/(5*sqrt(72)\/sqrt(6) + (sqrt(1200) - sqrt(1200)*3)).\nAnswer: 48*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 32. Let v(u) = -26*u + 1. Let y(m) = -25*m + 2. Let r(o) = 3*v(o) - 2*y(o). Determine r(j).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-24))\/((-11459)\/(-4911))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0 + -5 + sqrt(252) + (sqrt(700) - (2*sqrt(700)*2 - sqrt(700))))*2 + -2.\nAnswer: -16*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44258?\nAnswer: 2, 22129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 129, 125, 119, 111?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 19*t**2 - 119*t - 31. Give m(24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*f**3 - 17*f + 17*f)*(0*f - 61*f - 20*f).\nAnswer: -2106*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 267926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.5854 and -0.0359.\nAnswer: -8.6213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 404 (c) -63 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(171) + 1 + 0 + -1 + 2.\nAnswer: -12*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**3\/3 - 6*b**2 - 3. Let i be n(12). Solve y + 4 - 1 = i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - y. Suppose -f = -11*f + 7*f. Let u be q(f). Factor u + 2\/3*k + 1\/3*k**2.\nAnswer: k*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:01 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/15 >= 10\/379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 18 + 4*i - 8)*(-4 + 4 - 2*i).\nAnswer: -8*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 + -207. Let z be (-2)\/10 - (-8)\/q. Which is the closest to 0? (a) -0.4 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9*(-2)\/(-7)*(-448)\/(-24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -62*n - 872. Determine b(-13).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108*(-305)\/(-60390))\/(141\/(-11)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 206 (base 8) to base 13\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110506?\nAnswer: 2, 555253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 24274 (base 10) to base 11\nAnswer: 17268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 297?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 303, 308, 315, 324, 335, 348?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -41*h + 39*h. Let g be (-4 + (-1)\/(-1))*-1. What is the remainder when 0 + 12 + (2 - g) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85718, -171472, -257248, -343052, -428890, -514768, -600692, -686668?\nAnswer: -772702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3284160.\nAnswer: 2, 3, 5, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 26, 16, -828\/7, -0.5, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2, 0, -4 in increasing order.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7984790950?\nAnswer: 2, 5, 379, 421361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c1c - -2ab6?\nAnswer: -6136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + 2*o - 1. Let v(g) = g**3 - 4*g**2 + 6*g - 5. Let k be v(3). Let q(u) = -8*u**2 + 5*u - 3. Calculate k*q(r) - 11*f(r).\nAnswer: r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/9, -2\/13, -5\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*h - 20. Let r(u) = -u**2 - 5*u - 2. Calculate the smallest common multiple of h and r(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.060344 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = 0. Suppose 3 + 3 = 2*d + 2*h, -6 = 3*d - 2*h. Solve d = 3*f + j + 13, t = 2*f + 3*f + 3*j + 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -3\/1681590136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 303 - 187. Suppose b = 2*t - 58. Let c = 38 + -28. Calculate the remainder when t is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 9. Let z be a(-7). Suppose -z*t - 6 = -7*t. Let o = -13 + 15. Solve o*l = -t + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 23 (b) 0 (c) -0.2 (d) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/616493 and 40\/4510133.\nAnswer: 85692527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -184, -352, -520, -688?\n\"Answer: -168*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.4 - -17. Let i = v - -7.4. Let r = 5.7 - i. Which is the third smallest value? (a) -1\/5 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15745\/6 + -2624. Factor 1\/3*y**2 + 0*y + 0 - 1\/2*y**3 + d*y**4.\nAnswer: y**2*(y - 2)*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:33 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*m - 18 = -47, -4*z - 2*m = -2. Let y(c) be the second derivative of 0*c**z + 0 + 0*c**2 + 1\/36*c**4 - 1\/60*c**5 - c. What is f in y(f) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 407403 or 407404?\nAnswer: 407404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 - 101*y**2\/2 + 377*y\/2 - 30 = 0 for y.\nAnswer: -20, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 9 - 26 = n, -4*n = -4*z + 8. Suppose o + 19255 = z*k - 5045, 4*k - 3*o - 19429 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 + 2*z**3 - 4*z**2 - 2*z**2 + (9 + 1 + 0)*(-2*z**3 - 3*z**3 + 2*z**3).\nAnswer: -28*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16142*w**2 - 2111*w**2 + 3129*w**2.\nAnswer: 17160*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 - 49*l - 8. What is s(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 + 7.6. Let d = -3 - -3.2. Let i = -0.3 - d. What is the third biggest value in i, 0, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvq when three letters picked without replacement from vbuqbqqqbq.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 498, 751, 1006?\nAnswer: 1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 + 3*k**3 - 2*k**3 + (1 - 1 - 2*k)*(k**2 - 5*k**2 + 5*k**2) - 10 + 10 + 5*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xspxxpnspppxnxn. Give prob of picking 2 x, 1 s, and 1 p.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-30)*878\/(-5268)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-2 + 2) - (14 + -14). Let z(h) = -h**3 + 9*h**2 - 8*h. Let n be z(8). Suppose -j*d - d + 4*x + 373 = n, -3*x = -15. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s = -60 + 370. Let r = 0 + 6. What is the smallest common multiple of r and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5 = a - r, 3*a + 5*r - 31 = 0. Solve 0 = -a*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8807.\nAnswer: 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m - 14. Suppose 3*r - m = -2. Suppose r*l + 159 = 411. Calculate the greatest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/7 + 76*m**2 + 4685*m\/7 - 11506\/7 = 0.\nAnswer: -523, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3552782 take away 12.8?\nAnswer: -3552794.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-686)\/(-70))\/7)\/((-2)\/20)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 76*y = -20*y - 737 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**3 + 3*t**3 + 0*t**3)*(0*t**2 + 0*t**2 - 2*t**2) + t**5 + t - t + 3*t**4 - 3*t**4 + 2*t**5 + 27*t**3 + 3*t**5 - 27*t**3 - 3*t**5 + t**5 + 4*t**5.\nAnswer: 14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/80 + 1 + (-21)\/15?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x + 12*x - 85 - 188 - 58*x.\nAnswer: -61*x - 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7e (base 16) to base 4\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -105, -0.4, 3, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (61 - 62)\/((-2)\/666). Suppose 5*h = -32*h + s. Let k(a) = 1 + 2 + a - 2*a. Calculate k(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*s + 2*j + 2*j, -2*s = -5*j + 9. Let i = -4 - s. What is the second derivative of 2*n + 2*n - n - i*n**2 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408*x - 23508 - 28823 + 8683 = 0 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 137934 divided by 1422\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n - 13 = 2*g + 27*n, 3*g - n = -26 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (1 - -2 - -1). Solve -n*j = 8 - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + 5*-2*(sqrt(208) + 0)*-6)**2.\nAnswer: -2880*sqrt(13) + 748836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 906094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 84*c**2 - c + c.\nAnswer: 84*c**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53\/5 of a millennium?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*q = -572*q - 27. Let g(f) be the second derivative of 0 + 0*f**2 + 12*f - 1\/6*f**q. Let k(l) = 6*l. Calculate g(k(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 7:33 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14738)\/(-37320) - (-66)\/(-165) and -17\/15.\nAnswer: 18660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2693, 2701, 2709, 2717, 2725, 2733?\n\"Answer: 8*j + 2685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*w = -12 + 66, 18 = i - w. Calculate the least common multiple of i and ((-20)\/(-15))\/((-2)\/(-3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - b**2 - b - 2. List the prime factors of i(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2378934388?\nAnswer: 2, 37, 3209, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46.4163 - -91.89. Let d = 45.5 - w. Round d to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -35\/1729269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 199350725 to the power of 1\/2, to the nearest integer?\nAnswer: 14119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Suppose -4*j = -3*k - 4334, 5*j - j - 5*k - 4330 = 0. Let g(l) = 32*l**2 - j + 1085. Calculate y(g(x)).\nAnswer: 1024*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 = -583*t + 5*t - 5589 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:13 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3 + 13. Let y(t) = -t**3 + 6*t**2 + 6*t - 6. Let n(u) = u. Let j(a) = -4*n(a) + y(a). What is the remainder when r is divided by j(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 + 125.999999881. What is x rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21695, -43399, -65103, -86807, -108511, -130215?\nAnswer: -151919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 3*o**2 - 2*o + 3. What is y(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000960722 rounded to 7 dps?\nAnswer: -0.0000961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2770 + 78. Let y be 5 - r\/(-1824)*4. Let p = -14\/19 - y. Which is the third biggest value? (a) p (b) 4\/15 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let t = -51 - -47. Let x(o) = -4*o - 10. Let v be x(t). Let h(r) = -4*r**2 - 20*r**2 - v + 6. Determine j(h(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 2*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -136, -137, -138, -139, -140, -141?\n\"Answer: -f - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8*i**2 - 12*i**2 - 27*i**2. Let g(t) = 2*t. Determine g(y(p)).\nAnswer: -94*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 171763162 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 y when four letters picked without replacement from iitttyiiytiytityit?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g, 4*r + 2*g - 2 = 3*r. Let x = 227\/3 - 75. Let h = -38 - -37. Which is the second biggest value? (a) r (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2. Let m(p) be the second derivative of 0*p**2 + 0*p**3 - 1\/2*p**4 + p + 0. Calculate m(k(l)).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 4*z - 265, -6*z = -4*o + 12 - 96. Let c(a) = -4*a + 2. Let d be c(2). Sort o, d, -2 in increasing order.\nAnswer: o, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:51 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-80)*2\/(-649). Let n = -55201\/58410 + k. Find the common denominator of 103\/72 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49703049?\nAnswer: 3, 11, 45641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 8*p**2 + p**2)*(-5 + 2 - 64)*(3 - 3 - 2*p)*(0 + 6 - 3) + 5*p**3 - 2*p**3 - p**3.\nAnswer: -2410*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*x + 20 = 0, -3*j + 7*j + 72 = 2*x. Let o be 16\/j*(-5)\/2. Find the second derivative of 0*w - w**4 - 4*w - o*w**4 wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 12*r - 5*r)*(-19*r + 44*r**2 + 19*r).\nAnswer: 396*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*388069.855.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 20*z = -16*z - 2, 4*n + 3*z = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 4*f + 2. Let j be m(2). Suppose y = 4, 2*w - y + j*y = 4. Find the first derivative of -2 + w*d + 0*d + 4 - 7*d**2 wrt d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753394025?\nAnswer: 3, 5, 17, 1375211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, and 1 h when three letters picked without replacement from {g: 1, a: 1, k: 3, h: 6, t: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 318\/2128 - (-18)\/(-48) - 4896\/(-5712)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(84)\/sqrt(12) + 1 - sqrt(35)\/(5*sqrt(55)\/sqrt(11) - sqrt(5)).\nAnswer: -2 + 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let g = -304\/735 - -2\/147. What is the nearest to j in -0.5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4789 and 1?\nAnswer: 4788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/15 + d**4\/12 + 2*d**2. Let l(f) = 5*f**2 - 2*f. Let g(u) = -2*l(u) - 3*r(u). Let g(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 40477\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 4. Determine m(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**4\/4 + 5*g**3\/3 - 5*g**2\/2 - 8*g - 3096. Calculate f(6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b = 45*b - 25396745 + 2862243. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5)\/((-77)\/(-14) - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1034 and 2350?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4266\/(-46) - (-14454)\/(-55407)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 45*t + 1354. Give y(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.096 in 28\/3, 1\/7, -13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2127?\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 506, 516, 532, 554?\n\"Answer: 3*c**2 + c + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-11 + 10 - -2). Solve u = 3*y - t, 2*y + 4*t = 6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 6*i - 3. Let v be (-50)\/(-15)*(-3)\/(-2). Let c be m(v). Suppose 0 = c*n + n. Put 5, n, 2 in descending order.\nAnswer: 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 8) - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 6*n**3 + 17*n**3 - 10*n**3 + 6*n**2 - 3*n**3.\nAnswer: -3*n**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19605 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 657, 702, 783, 906, 1077, 1302, 1587, 1938?\n\"Answer: z**3 + 12*z**2 + 2*z + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0 + 2 = 0. Let m(y) = 535*y - 45. Let q be m(4). Suppose h*r - q = -3*v - 0*r, v + 2*r - 697 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1188*a - 267*a - 69*a as f + q*a and give q.\nAnswer: -1524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -9, 5, 24 in descending order.\nAnswer: 24, 5, 4, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 2*u - 8130 = 0, 3*u + 2045 = w. Let q be 1\/4 + (-1358)\/(-8). Let v = q + w. What is v rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15513*u - 131 = -15518*u + 2*m, -3*u - 3*m = -87 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + (29 - 33).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5846989 + -5847037.00109. Let b = 47.44 + 0.56. Let g = b + d. What is g rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 427 in 2, 1, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 2, 1, -1613 in decreasing order.\nAnswer: 120, 2, 1, -1613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k - 290. What is d(26)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1784*f**3 + 0*f**2 - 30 + f**2 + f + 1786*f**3 to w*f**3 + c*f**2 + o*f + i and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -773 - -777. Which is the nearest to -16? (a) -2\/3 (b) m (c) -0.3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597.61383 rounded to the nearest integer?\nAnswer: -598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 3*k - 9, -2*k + 6 = -5*q. Suppose q = -5*h - 409 + 4959. What is h rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q - 911 = -14. What is the highest common divisor of q and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1)*q**(-2\/5))\/(q**(2\/3))**(-4\/5) assuming q is positive.\nAnswer: q**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -26, -1\/2, -3, 15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:29 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(475\/(-190))*5. Put 11, j, 7, 2\/5 in increasing order.\nAnswer: j, 2\/5, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + -54. What is the greatest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -892*r - 7112. What is u(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -216.\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(3*(-3)\/6). Suppose 0 = -c + o*y - 15, 8*c - 3*y + 68 = 3*c. Is -3*-1*c\/(-3) 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 790492981?\nAnswer: 521, 1517261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x. Let m be ((-1)\/2)\/((-4)\/56). Let z(h) = 4*h**2 + 3*h**2 - m*h**2 + 4*h**2. Calculate o(z(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 6*g + 2*g)*((0*g**2 - 5*g**2 + 2*g**2)*(-2*g - g + 5*g) + 5*g**3 + g**3 - 4*g**3 + (-g**2 - 4*g + 4*g)*(5*g - 2*g - 2*g)).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*c + 3*h, -12 = -3*c - 4*h + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -157\/3. Let r = -468\/5 + 94. Which is the third smallest value? (a) r (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 12*h + 177 - 42. Let s(q) = -q - 5. Let b(w) = -2*w - 16. Give h*s(u) + 2*b(u).\nAnswer: 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5052 is divided by 4900.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 0*q + 0*q)*(0 - 5 + 4) - 4*q - 6 + 0 + 13128*q**2 - 13118*q**2.\nAnswer: 8*q**2 - 4*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -103526 (base 7) in base 13?\nAnswer: -8315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34\/253 - 1\/23. Let y = -22 - -45\/2. Which is the nearest to y? (a) w (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 2174*y - 21649. What is s(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 2*x**4 + 35 - x - 72 - 2*x**3 + 3*x**2 to q*x**2 + u*x**4 + t*x + h + i*x**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + 10*r - 36. Let d be o(3). Calculate the highest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1340*p + 326873. What is j(244)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.8294*-0.3.\nAnswer: -5.04882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from imyxiycxxiic.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (55\/44)\/(-3*(-35)\/90 - 2). Let m = -113 + 567\/5. Sort i, m, -7 in decreasing order.\nAnswer: m, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 639640, 1279290, 1918946, 2558608, 3198276, 3837950?\nAnswer: 4477630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/200 and -93\/440?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m. Let h = 461\/7 - 66. Which is the closest to m? (a) -4 (b) h (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/12 - 10\/780. What is the second biggest value in 5, -1\/2, 3\/5, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30321*b**2*n - 345*n - 18 wrt b.\nAnswer: -60642*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147 + -149 - (-1 - (-3 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3*m + 25 = 0, 53*k - 3249*m + 3246*m - 265 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 759, 1104, 1427, 1728, 2007?\nAnswer: 2264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)*x)**(-31\/4)\/(x**(14\/3)*x**17) assuming x is positive.\nAnswer: x**(-225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24524 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10)*5\/23. Let h = -2002 + 1998. Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 6*c - 3. Let f be b(-5). Let o(h) = -4*h + 1 + h - h**2 + 0*h**f + 2*h + h**3. Determine o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1809970?\nAnswer: 1809969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*(sqrt(315)*2)\/sqrt(7) + (sqrt(45) - sqrt(495)\/sqrt(99)) + sqrt(45)*-2 + 0)**2)*6.\nAnswer: 20262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2750 is divided by 786.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:22 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/120 + 13*v**5\/60 - 17*v**4\/24 - 11*v**3\/2 + v**2 - 583. Determine p(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqsqsqssssqqq. What is prob of picking 3 s and 1 q?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) -77223\/13 (c) 0.01 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16621169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/3)\/((-150)\/270).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -7*t - 205. Let x be -12*((-16)\/t - 1) - 2. Let y be 4\/(-10) + 0\/9. Sort y, -21, x in decreasing order.\nAnswer: x, y, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 1, s: 2, y: 2, x: 7, f: 1}. Give prob of sequence syf.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 12273, 0.2 in descending order.\nAnswer: 12273, 0.2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**2 + 8*m - 5. Let t(w) = 7*w**2 - 7*w + 4. Let o(n) = 2*p(n) + 3*t(n). Let d = 4 - -9. Let c(u) = 11*u**2 - 11*u + 4. Determine d*o(b) - 6*c(b).\nAnswer: -b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15876 is divided by 4752.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30532*i**3 - 48699*i.\nAnswer: -183192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.5, 6, -0.2, 35\/3, 1\/4 in ascending order.\nAnswer: -0.5, -0.2, 1\/4, 2\/3, 6, 35\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g - 58*g - 131*g.\nAnswer: -165*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 16\/49?\nAnswer: 16\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - -58 - 22 - (1 + -2 + 25).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**39*u**(4\/9)*((u*u**(-7)*u)\/u)\/u*(u*u**(-1\/5)*u**(1\/4))**(-21) assuming u is positive.\nAnswer: u**(-1639\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**5\/210 - l**4\/84 - 3*l**2 - 3. Let u(f) be the second derivative of c(f). Factor u(w).\nAnswer: -2*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*((-97966)\/(-4697) + (-24)\/(-21))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.06, -4\/15, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/31, 0.13, 39, 2?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459411?\nAnswer: 3, 153137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 154 = 46. Let a be (d\/(-30))\/((-3)\/10). Is a smaller than 11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 36 = h. Let n be -4 - (-4 + h\/18). Let x = -2 - -1.6. What is the second smallest value in n, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*q + 134*q - 23*q - 38*q - 3800 - 34*q.\nAnswer: q - 3800","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3397186.\nAnswer: 2, 13, 193, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389611879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26260\/187 + 1545\/11. Calculate the common denominator of h and -16\/9.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3844888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.022 - -0.402. Let j = 0.68 - d. Put 0.4, j, 5 in decreasing order.\nAnswer: 5, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1105 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 28. Suppose -4*q - 11 + 27 = y. Suppose -12 = q*k, 0 = -3*h + 2*k + 2*k + 162. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 11:23 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-3*a**5 + 0*a**5 + 2*a**5 - a) - a**5 + 0*a**3 + 0*a**3 + (-8 - 4 - 1)*(0*a**5 - 3*a**5 + 2*a**5).\nAnswer: 14*a**5 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.4 or -5957820?\nAnswer: -5957820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -243 - -531?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -d - 425, -b + 169*d - 174*d - 190 = 0. Which is greater: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 644 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2314876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**3 - 2*y**3 + 3*y**3)*(-4*y**2 + 4*y**2 + 2*y**2) - 10*y**5 + 3*y**3 + 3*y**5 + 6*y**5.\nAnswer: -11*y**5 + 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: cd15 (base 14) to base 7\nAnswer: 205325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40522*l**3 - 81047*l**3 + 40546*l**3.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + (-9 - -4))\/(3\/(-6)). Sort 62, -1, o.\nAnswer: -1, o, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-1)*9\/(-6). Let a = y - -13. Suppose 0 = 4*r + 2*h - h - 64, r - 5*h + 5 = 0. Solve a*o = r + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26115 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 5*l - 2. Let u be s(-4). Let t be -1*u*(1 - 6). Suppose -5*d + 4*d = -h + t, -h = 3*d + 10. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1086, -15, 5, -3 in decreasing order.\nAnswer: 1086, 5, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 120*d - 334. Let i(r) = -117*r + 335. Let s(o) = -3*i(o) - 4*p(o). What is the derivative of s(h) wrt h?\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -56*m**2 - 772*m + 38416. Let b(w) = -5*w**2 + w. Let i(j) = -12*b(j) + t(j). Find h, given that i(h) = 0.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in 1, -2.2, 2.7, 1\/5, 12?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 3*d**2 - 5. Let p be h(4). Let f(z) = 16*z - 25. Let r be f(p). Let s = -90 + r. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2895*t**5 + 611*t + 1?\nAnswer: -57900*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7273701.\nAnswer: 3, 61, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -178.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from nrvvvvllr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (-15)\/(-20) + (-3)\/(-12). Sort -1, 15, 0, q in increasing order.\nAnswer: q, -1, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-6 - -7) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2105 - -9148. What are the prime factors of z?\nAnswer: 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28588300 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**4\/4 + 7*g**3\/3 + 41*g**2\/2 + 33*g + 3057. Find h, given that q(h) = 0.\nAnswer: -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06963 times 93?\nAnswer: 6.47559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 4*u + 2*u + (0*u - 4*u + 2*u)*(4 - 2 - 3) + (-6*u + 5*u - u)*(2 + 2 + 3).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/576)\/(4\/(-6))*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 43*i + 11 - 1)*(1 + 2 - 2) as y*i + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303 (base 5) to base 3.\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 29*c - 410\/3.\nAnswer: -(c + 5)*(c + 82)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/37 (b) -993 (c) -0.4 (d) -314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59342929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6019*l**3 + 3*l**2 + l + 2. Let x(o) = -20*o - 2. Let i be x(1). Let z = i - -16. Let k be n(z). Round k to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 52 = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1045 and 833855?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -79, -73, -37, 29?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -2)*(-1)\/(-2). Suppose s*w + 10 = 2*w. Suppose 75 = -16*j + j. Which is the second biggest value? (a) j (b) -1\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13000121 - -0.13. What is y rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 9*y**2 - 15*y + 8. Is m(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1*5\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 1. Let a(v) = 96*v + 18. Let b(c) = a(c) - 2*r(c). What is the units digit of b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3012512 - 22?\nAnswer: -3012534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -497?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10089128 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2 - 0) + -22. Let c = i - -37. Suppose c = o + o. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 + -87. Let i = -4 - -11. Let n(z) = z**3 - 5*z**2 + 3*z - 8. What is the remainder when n(i) is divided by p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5 + 65)\/(-4))\/(-3). Let m be 11 + (z - (2 - -8)). Does 18 divide 3\/(m\/8) - (-10 - 274)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4 - 920*t**3 - 895*t**2 + 3680*t + 3660 = 0.\nAnswer: -183, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 (base 8) in base 6?\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 4:09 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4628, 9199, 13770?\nAnswer: 18341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(2\/(-6 - -2)). Let y be (8 - 6) + u\/21. Let v = 0.3 - 0.5. Which is the closest to 3? (a) v (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 2 v when four letters picked without replacement from {v: 4, u: 6, r: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -50. Let q be 0*((2 - 3)*1)\/(-1). Suppose q = -3*l - u*l + 24. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9184190, -18368370, -27552550, -36736730, -45920910?\n\"Answer: -9184180*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y + 5. Let i(j) = j + 1. Let v(n) = -i(n) - m(n). What is the first derivative of v(k) wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144*f**4*x - 10*f**3 + 15*f*x + 2352*x - 11 wrt f.\nAnswer: 576*f**3*x - 30*f**2 + 15*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43555 and -31?\nAnswer: 1350205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172 + 40*m - 22*m**2 - m - 41*m.\nAnswer: -22*m**2 - 2*m + 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 1\/6, -0.3, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 40 = -4*x, -4*y = -2*x + 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 5 = -11*s, -3*s + 1101 = 3*v. Does 38 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c*c)\/((c\/(c\/(c\/c**1*c*c*c)))\/c) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44583317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -11*r**4\/4 - 10*r**3\/3 + 7*r + 4325. Let v(d) = -4*d**3 - 3*d**2 + 2. Calculate 2*l(s) - 7*v(s).\nAnswer: 6*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -50372*v**3 - 535*v**2 + 88*v. Let b(x) = 37778*x**3 + 401*x**2 - 64*x. Let h(z) = 11*b(z) + 8*g(z). What is the third derivative of h(u) wrt u?\nAnswer: 75492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/14 - -1\/42. Suppose -c + 6*c = -90. Let u be c\/14 + 4\/14. Which is smaller: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -2.5, 16, -2\/15?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n**2 - n. Let j(h) = 312*h. Determine l(j(o)).\nAnswer: 1362816*o**2 - 312*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/2 - 547*a - 299209\/2 = 0.\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 1) + (0 - -17 - (44 - 28)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -19 + 2 - (-8 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061253544 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -2*h - 56. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/66 and 5\/3161904?\nAnswer: 34780944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**7\/5880 + p**6\/630 - p**5\/840 - p**4\/42 + 11*p**3\/3 + 9. Let g(b) be the third derivative of x(b). Factor g(l).\nAnswer: (l - 1)*(l + 1)*(l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -2*k + 243. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1213658996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -196870, 0.36, -0.1?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2899*w - 2868*w = -527 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 6, t: 1, x: 1, b: 1, d: 1}. What is prob of sequence yx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - -1.37. Put -4, q, 4 in descending order.\nAnswer: 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.616 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(500) - (sqrt(500) + (3 + sqrt(500))**2)) + ((sqrt(500) + sqrt(500)*4 - sqrt(500))*2)**2 + 4.\nAnswer: -180*sqrt(5) + 30477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2151810.\nAnswer: 2, 3, 5, 23909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(24\/950) + (-10)\/30. Suppose 6 = -3*q, -p + n = p + q. Calculate the greatest common factor of p and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 401\/915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640469 and 1692.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (1\/1 + -2). Let j(u) be the third derivative of 13*u**5\/60 + 4*u**2. Is j(o) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 - 103 - 12*l)*(-5*l + 3*l + l) + (-2*l + 6*l - 5*l)*(0 + 4 - 2)*(3*l + l + 0*l)*(-7 + 1 + 3).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.8 times -0.0067?\nAnswer: -0.15276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/27 + 38\/9. Let d be p\/10 + (-12)\/5. Let s be 4 - 0\/(d + 3). Solve -2*j = s*x + 12, -2*x - 2*x = -5*j + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 12, 1185*b = 5*l + 1180*b - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7. Let v(k) = k + 15. Let s(h) = -3*v(h) + 5*z(h). Let w be s(-4). Let t(u) = u**3 - 6*u**2 + 5*u + 3. Let i be t(5). Solve i*d - d = -w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -13. Which is greater: v or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -205, -523, -969, -1543, -2245, -3075?\nAnswer: -4033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1397 - -0.3.\nAnswer: -1396.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 15. Let p be t(12). Let m be (12\/1)\/p + -3. Does 9 divide ((-360)\/(-25))\/(m + (-14)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 848?\nAnswer: 1\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7444511 nanometers in meters?\nAnswer: 0.0000000007444511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 8*x - 5*x + 922 - 460 - 462.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a - 12. Let n be t(-6). Suppose 124 = n*c - 8*c. Round c to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101021 - -12011110?\nAnswer: 12112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 1 - (-93 + 94 + (5 - 1) + 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41904658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 13*w - 94. Let q(j) = j + 1. Let t(a) = 2*q(a) - 2*x(a). What is the derivative of t(g) wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*sqrt(152)*1 + 1*sqrt(152)*-3)\/((sqrt(32) - (-2*sqrt(192) + sqrt(192))\/sqrt(6))\/(sqrt(8)\/(sqrt(2) + (sqrt(8) - sqrt(2))))).\nAnswer: -9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*n**3 + 43*n**3 + 724*n**3 + 174*n**3.\nAnswer: 1151*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1578 + -194. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - (-308)\/66. Suppose -3*a - 141 = -d*t + t, -4*t + 172 = 4*a. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 812090 and 73622?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, h: 6, o: 3, c: 3}. What is prob of sequence ookc?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(-1\/7)*b)*b)\/(b*b**(-9))*(b**(-7))**15)**(-39) assuming b is positive.\nAnswer: b**(25896\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggu when four letters picked without replacement from {u: 2, g: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-702)\/36 + 19)*-94. Solve 38*d - 257 = s for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Suppose n = -1 - z. Suppose 0*k - 5*d = 5*k - 25, k + 10 = 2*d. Put n, k, -2\/3 in decreasing order.\nAnswer: k, -2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*545305.1.\nAnswer: 381713.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 0.5.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3264 = u + 1085. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j = 59 - 6 - 388. Sort 11\/13, 0.5, 1\/9, j in increasing order.\nAnswer: j, 1\/9, 0.5, 11\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2 = -n + 2*n, -2*n = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/(u\/(u*u*((u\/(u*u**1))\/u)\/u))))\/u)\/u)**28\/(u**7*u**6))**35 assuming u is positive.\nAnswer: u**(-455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 16 = z. Suppose g - 56 = -2*r, -4*g + z + 88 = 4*r. Let u = -14 + r. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k**4 - 757533*k**3 - 2441148*k**2 - 2020308*k - 336720 = 0 for k.\nAnswer: -2, -1, -2\/9, 28060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) -3\/5 (c) 11\/16158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1063 = 4*n - 1649. Let l = -445 + n. Suppose 5*z - 351 = -2*c, 4*c - l = -3*z - 28. What are the prime factors of z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 8*u**7\/21 + 22*u**6\/15 - 11*u**5\/5 - 46*u**4\/3 - 40*u**3\/3 + 16*u**2 + u - 233. Suppose g(m) = 0. What is m?\nAnswer: -2, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*f + 47, -5*p - 2 + 3 = 2*f. Let s = 14 - f. What is the units digit of s\/(-9)*(-126)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112.1 - 107. Let u = p + 0.9. Suppose 0 = -44*i - 21*i. Which is the nearest to -1? (a) u (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000499 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d**2 + 9*d**2 + 6*d**2 + (2 - 3 + 0)*(49 - 12*d**2 - 49) as a + j*d + n*d**2 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -116 and -0.5.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801 and 77074?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 8*u**2 + 13*u + 2. Suppose -5*l + 15 = 3*y, -5*y = 4*l + l - 5. Let h be z(l). List the prime factors of (0 + -2)*(-332)\/h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133543 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: What is prob of picking 2 v when two letters picked without replacement from hvvwvvvpvvhjvjjppv?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w = -4, -4*w + 17 = 3*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002001022 - 10?\nAnswer: -1002001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 2002*a**2 - 24309*a - 3040. Determine x(1013).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 k when three letters picked without replacement from {v: 1, g: 6, k: 2, p: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-5)\/2)*(-4)\/(-4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(10)\/(sqrt(605)*-3).\nAnswer: -5 - sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/((-2784)\/(-5800)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/111 in 0.1, -2\/9, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021001 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8429642 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 661028 and 311072.\nAnswer: 5288224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k - k)*(17*k**3 - 136*k**3 + 29*k**3)*(0 - 4 + 0).\nAnswer: 360*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.054.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3 = -4*l, 3*f + 27*l + 24 = 22*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6047*s + 193868. Determine l(32).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1310*f - 62885. What is c(48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 62\/3*i**3 + 0*i**2 + 0*i + 44\/5*i**5 + 0*i**4 - 58. What is the third derivative of z(w) wrt w?\nAnswer: 1056*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - f**2 + 0*f**2 + (-4*f + 6*f + 7*f)*(3 - 3 + 2*f) - 2*f**2 - 2*f**2 + 6*f**2 + (797 - 797 + 84*f**2)*(-4 + 1 + 2).\nAnswer: -61*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85221 by 4.\nAnswer: 85221\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 11*v + 4*j - 4664, 2*v - 2320 = j. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*i + 188 + 139 = 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/(((-20)\/60)\/(5\/(-2)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**2 + 6*c + 1. Suppose 41 = 4*g + 277. Let d = 58 + g. Let v(z) = -1. What is d*h(x) - 6*v(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*m = 27, 0 = a - 0*m + 3*m + 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 5*x**3 + 2*x + 2*x - 2*x - 2*x**2 + 2*x**3 to p*x**2 + h*x**3 + q*x + d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 6765*s - 20340.\nAnswer: 5*(s - 3)*(s + 1356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -56*g**3 + 51*g**2 + 7*g + 28. Let i(q) = -84*q**3 + 76*q**2 + 11*q + 44. Calculate -7*i(w) + 11*p(w).\nAnswer: -28*w**3 + 29*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 + 9 = -2*l, -2*m = 3*l + 1. Suppose b = -m*b - 170. Let k = b + 114. What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/476 - (-24)\/204)*14\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 90 = 0. What is the remainder when 33 is divided by o\/4*16\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-5 + -1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206001.\nAnswer: 3, 47, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197112267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 f when three letters picked without replacement from {f: 2, t: 1, o: 1, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -385 - -394. Suppose -z + 12 = m. Let x = 6.4 + -6. Is x greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (108\/(-15))\/(-1)*590. Let s = 1455 + -8603. Let n = s + p. What is n rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1000\/150*(-3)\/(-114)*(24\/(-8))\/(-15).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 607 divide 484178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -5. Let h = 8 - 4. Suppose 16 = 2*j - 5*n, 2*n = -h*j + 42 - 10. Calculate the highest common factor of j and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3434315142 rounded to four decimal places?\nAnswer: -0.3434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 7*b + 9. Let i be v(2). Let d = 1721 - 46462\/27. Calculate the common denominator of (-57)\/(-9)*i\/(-7) and d.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hph when three letters picked without replacement from {h: 7, p: 9}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/7 (b) -289 (c) 2 (d) 0.22 (e) -4 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/285*(-3)\/(1365\/175).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/12 + 7*b**3\/6 + 8*b**2 - 4*b - 6. Is u(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -615 + 17*o - 876 - 1344 + 3663 + (0 - o + 0)*(-3 + 3 + 1).\nAnswer: 16*o + 828","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 758.5594 minutes?\nAnswer: 45513564000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (3 - (-30)\/(-3)). What is the third derivative of -3*f**2 + f**z + f**6 + f**6 - 2*f**6 wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1 + 1 - -2). Let p be (0 - (-12)\/h) + 8. Sort 1\/3, -1\/10, p in increasing order.\nAnswer: -1\/10, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*l - 11, 4*y - 5*l = 3*y - 13. Let j(a) = 3*a**3 - a**2 - 4*a + 3. Is j(y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30953 plus -10.89?\nAnswer: 30942.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03892 + -0.0389195626. What is v rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 - y - 1346. Let q be p(0). Let t = -160176\/119 - q. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 2 - 2)*(4*p**3 + 2*p**3 + p**3) - p**5 - 4*p**5 + 0*p**5 + p**2 - p**2 + 17*p**5.\nAnswer: 19*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 172a8 + -4?\nAnswer: 172a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 139035, 139040, 139045, 139050, 139055, 139060?\n\"Answer: 5*z + 139030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17360, -17400, -17404, -17354, -17232?\n\"Answer: 3*l**3 - 61*l - 17302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 - -0.3. Let z be 0 + (3 - (-24)\/(-9)). Which is the closest to p? (a) 1\/8 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1.3. Let b = u + -0.6. Let w = 1 - b. What is the nearest to w in 3\/2, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/30*(-12 + 0). Let m(f) = -f**2 + 7*f + 4. Give m(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/100 + 16*g. Factor z(m).\nAnswer: m**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 388*l**3 + 108*l**2 - 196*l**3 - 196*l**3 + 112*l = 0.\nAnswer: -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:23 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 475.1585 from 279.\nAnswer: -196.1585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r + 114. Let p be f(20). Solve 0 = p*k - 16*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*g - 5, 0 = -6*y + 4*y - 10. Let a be 4*g - ((-3)\/(-1) - 7). Suppose -1029 = 17*b - a*b. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519943, 519933, 519911, 519871, 519807, 519713, 519583?\nAnswer: 519411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 6*s + 140. Suppose -30*q + s*q = -10. Suppose -302 = -q*v + 98. Calculate the greatest common divisor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f + 1243*f**2 - 1244*f**2 - 3*f. Let k(u) = 5*u**2 - 35*u - 30. Let h(x) = -k(x) - 10*l(x). Suppose h(g) = 0. Calculate g.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1166 and 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*d**2 + 9822*d + 1554*d + 114*d**3 - 76*d**2 - 49*d**3 + 12*d**4 - 59*d**3 wrt d?\nAnswer: 144*d**2 + 36*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 + 46. Find the common denominator of 93\/8 and 596\/u + (-2)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-66) + 245\/44 and 1\/(-5) + (-85)\/(-650)*23.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62627975, -125255955, -187883935?\nAnswer: -250511915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) 3 (b) 667.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 + 0.5. Let q = -31717 + 31716.8. Which is the second smallest value? (a) 4 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -1853, -6113, -14427, -28151, -48641, -77253?\nAnswer: -115343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72112*l**2 + 36055*l**2 + 36059*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 2*o**2 - 5*o)*(-35 - 37 + 75)*(-o**2 + o**2 + 2*o**2) in the form r*o + v*o**3 + j + i*o**2 + g*o**4 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/32149740 and -101\/11685.\nAnswer: 610845060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-17)*v**0)\/(v**(1\/10)\/(v\/(v\/(v\/((v\/(v**(-13)\/v))\/v*v)*v)))) assuming v is positive.\nAnswer: v**(-301\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.75813 - 120.44212. Let r = b - -121. Let v = r + 1.2. Round v to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 460044 divided by -1\nAnswer: -460044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 12, v: 3, n: 1, j: 1, g: 1}. What is prob of sequence wj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/20 + 7*d**4\/12 - 4*d**3\/3 - 94*d**2. Let t be h(-5). Let s(r) = r**2 + 3*r. What is s(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = -0*x - 4*m, 4*x - 16 = -4*m. Solve -3*g + x = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.658822 rounded to 1 dp?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5058, 5053, 5046, 5037, 5026?\nAnswer: 5013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 divided by -6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/190*(1 - (-10)\/(-12)). Let c = 2233\/228 + m. Find the common denominator of 67\/2 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (-63 - -40) + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64522, 129038, 193540, 258022, 322478?\n\"Answer: -m**3 - m**2 + 64526*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(7) - (2*sqrt(7) - sqrt(7)) - sqrt(7))**2 + 5 + ((1*sqrt(252))**2 - (0 + sqrt(7))*6))*-6.\nAnswer: -1554 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -45605800 to the nearest 100000.\nAnswer: -45600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 22949521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = u + 4*b, 5*u - 3*u - 5*b - 31 = 0. Let q(g) be the second derivative of -1\/2*g**2 + 0*g**3 + 11\/20*g**5 - u*g + 1\/6*g**4 + 0. Calculate q(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160586 divided by 386862?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfffsgwnwfffwwgf. Give prob of picking 2 w, 1 s, and 1 f.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0317198204 to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (148\/185)\/((-66)\/(-45))*2\/(-6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 32. Let w be (1 + -4)*o\/2. Let r(j) = -49*j + 10. Is r(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -3 (c) 6 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -0.1, -3, -135?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(76) + 2 + sqrt(76) + 2)**2.\nAnswer: 32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 702 + -657. Solve 46*n - d*n + 3*l = -5, 2*l - 20 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x + 7. Let t(y) = -13*y - 13. Let o(w) = 11*s(w) + 6*t(w). Let r(z) = -9*z - 3. What is -3*o(a) + r(a)?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 99601380661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -0.8. Let j = -2 + 1.6. Let o = 0.8 + j. Put d, -1\/2, o in decreasing order.\nAnswer: o, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 275 - 63 = 2 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 - 19) + 5 + 613524 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179278 times -1?\nAnswer: -4179278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1437\/17945 - -11\/185. Let i = 16 + -16. Is i greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1430, -1429, -1428, -1427?\n\"Answer: z - 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 217*t**2 - 228*t**2 + 0 + 10*t + 661*t**2 - 215*t**2 to u*t**2 + z + v*t and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.23849 and 93.\nAnswer: 92.76151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -2 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:32 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6007*d + 6008*d + 12 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from mmdddd?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (114823 + 1)\/(490\/(-2)). Let w = k + -75\/49. Let z = w + 475. Is z less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/70 and -4\/47125?\nAnswer: 659750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -77.3. Let l = c + -2.7. Let h = -1.9632 + l. Round h to 3 dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3902558, -3902566, -3902574?\n\"Answer: -8*j - 3902550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-209)*-38 - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**3 - 149*v**2 - 14*v + 20. Let j be m(-19). Does -12349 = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 5 = 24*y. Let w(d) = 734*d**3 - 3*d**2 + 2*d. Is w(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*p - 5576*p**2 + 3474*p**3 - 3472*p**3 - 61*p to the form d*p**2 + b*p + z*p**3 + t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1) - 0\/(-1). Suppose 2*c - 17 = -c - x*z, -3*z = -12. Suppose 7 = s - 2*g, 0*g - 6 = -c*s + g. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166 - 244. Let r = -641\/52 - -5448\/13. Let c = r + y. Is c less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + -106. Let y(d) = 249*d**2 + 5*d + 11. Is y(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f + 4*l = 30, 0 = f - 4*l - 30. Let h be (-1 - 326\/f)*-20. Suppose 0*x + 6*x = h. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/25 - -47\/50. Factor -r*t**4 + 0 + 1\/2*t**2 + 1\/2*t**5 + 0*t - 1\/2*t**3.\nAnswer: t**2*(t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**3\/3 - 5*d**2\/2 + 5*d + 6. Let i be l(-5). Suppose 2 = -i*x + k - 2, 0 = -5*k + 20. Solve x - 1 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -423. Let q be (-85)\/z*(-9)\/10. Which is the nearest to -2\/5? (a) -3\/2 (b) q (c) 5 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 193*b**3 + 42*b**2 + 86*b - 436. Is d(35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65311.69*0.3\nAnswer: 19593.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3 - 9. Let r = 7.5 + -1.2. Let n = 6 - r. Sort v, n, -0.2 in decreasing order.\nAnswer: v, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12845 - 12814. Which is smaller: -108 or v?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1330 + -4?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + 53 - o**2 + 40 - 95 + 0*o**3 - 3*o**3 - 11*o to the form c*o**3 + z + d*o**4 + f*o**2 + q*o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/2 + 10737*j\/2 - 416339 = 0.\nAnswer: -10814, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1392, 5551, 12482, 22185, 34660, 49907?\n\"Answer: 1386*i**2 + i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367, 365, 363, 361, 359?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-12 - -32 - -14) + 30)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*l = -137 - 38, -l - 245 = -3*m. What is the greatest common factor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l**(-30))\/l)\/l**22)\/(l\/(l\/l**5)*l*l\/l**(7\/5)*l))**(-1\/2) assuming l is positive.\nAnswer: l**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 86778 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: Multiply -713 and 19.\nAnswer: -13547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**3*o*v**2 - 919*j**3*o - 27*j**3*v**2 - 20*j*v**2 wrt o?\nAnswer: j**3*v**2 - 919*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 2, g: 4, z: 3, l: 1}. Give prob of sequence lgij.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + p**3 - 16*p**2 + 2 - 11868*p**4 + 11870*p**4 - 6*p**3 + p to the form l*p**2 + j*p**4 + y*p**3 + k*p + i and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6486041 rounded to 2 dps?\nAnswer: -2.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e - -1?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*o - 12752, 5*o = 5*b - 6332 - 25548. What are the prime factors of b?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10*o = 7. Let x be (6\/(-276))\/(o\/4). Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-16))\/(((-210)\/16)\/7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 419 + 2821. What is the tens digit of u\/4 + (5 - (6 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1173 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91376 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 + 4485*x = 0 for x.\nAnswer: 0, 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8 = -47. Let t(s) = -3*s**3 + s. What is the remainder when t(-2) is divided by i - -1 - (0 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2941977 - -1?\nAnswer: 2941978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-10))\/(8\/10). Let y = -264 - -263. What is the closest to 2 in 3\/5, y, w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/6 - -29\/42. Suppose -4*o - 2*j + 28 = -20, -o = -2*j - 2. Find the common denominator of (-2)\/(-5) + (-179)\/o and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 + -1.42. What is j rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2159*t**3 - 7898*t**2 - 1191*t - 28295 wrt t?\nAnswer: -12954*t - 15796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2078 + 2078 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13056979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846776 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85789 + 85793. Let h be -2 - (1 + 0 + 2). Let s be ((-4)\/6)\/(h\/(-3)). Which is the closest to s? (a) d (b) 2\/17 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 5540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, b: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1320156*w**3 - 1887942*w**3 - 1639785*w**3 + 586987*w**3.\nAnswer: -4260896*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009726 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 777 - 727.7. What is l rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 17*l**2 + 4*l - 4*l + 23*l**3. Let d(x) be the first derivative of 2*x**4 + 2*x**3 - 7. Give -17*d(v) + 6*q(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 42. Let d be s(7). What is the closest to d in -9, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12147124.58 to the nearest one thousand.\nAnswer: 12147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 2*y**2 - y**2)*(-3*y**3 + 2*y**3 + 2*y**3) - 9*y**5 - 7*y**5 + 7*y**5 + 3*y**2 - 2*y**2 - 2*y**2 - y**5.\nAnswer: -7*y**5 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21*g**2 - 3*g + 8. Let h(m) = -19*m**2 - 2*m + 7. Give -6*h(l) + 5*o(l).\nAnswer: 9*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 1223 = 11*y + 79*y. Solve -5*k - d = y, -7 + 10 = 3*k - 3*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 4 - (69 + 2 - 73) - 36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -55381 and -55394 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1116 + -545. Suppose 14*n = d - 67. Suppose -l - n = -40. Let s(a) = a**2 - 2*a - 4. Determine s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 9*b + 5*b**2.\nAnswer: 5*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166 is divided by 3092?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 3*l + 2. Let a(b) = b - 2. Let d be a(3). Let q be (d + 1 + -3)*3. List the prime factors of v(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4 - 257*k**3 + k**4 + 215*k**3 + 37 - 37 - 668*k**2 wrt k.\nAnswer: 48*k - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*c - 1. Suppose 4*a + 4 = -n, c*a + 4*n - 10 = -a. Let y be (a\/4)\/((-7)\/350). Solve -2*d - 3*d - y = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 14*j + 3. Suppose -c + 1 = -19. Suppose 11*g = 15*g + c. Let i(w) = 29*w + 7. Let l(a) = g*y(a) + 2*i(a). Differentiate l(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 1 - 1 + (-5 + 0 - 2)*(4*s - 2*s + 0*s) - 978 - 2*s - 1024 + 1934 to u + h*s and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o**4 + 6*o**3 - 14*o**2 - 6*o + 4 = 0. What is o?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from nxnraaannkrrxnrr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-12))\/((-2)\/20). Suppose -5*t + 2*k = -0*k - 26, 0 = -4*k + 8. Suppose 3*o - t = 4*y - 19, 5*o + 19 = 4*y. Sort 4, o, s in decreasing order.\nAnswer: s, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -33, 36.\nAnswer: -33, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1331))*-2 - sqrt(1331))*-1)**2 + (sqrt(44)\/sqrt(196) - (sqrt(99) + -3)).\nAnswer: 904*sqrt(11)\/7 + 11986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 19*o + 5. Calculate j(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, -0.5, -56\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -14\/3*q - 19\/3*q**4 - q**5 + 17\/3*q**3 + 0 + 19\/3*q**2 = 0?\nAnswer: -7, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/60 - 13*c**4\/12 - 44*c**3\/3 + 1210*c**2\/3 - 8326*c. Factor t(l).\nAnswer: -(l - 5)*(l + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 7*h**2 - 5*h - 6. Let b be f(6). Is b - (-2 + -721) - (8 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -5 + 1 + -1. Let y(z) be the first derivative of 0*z**2 + z**3 + 2\/5*z**5 + 0*z - 1 + o*z**4. What is the third derivative of y(q) wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0 - 4) + (-18 - -37)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 274 (base 9) to base 14\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86825812?\nAnswer: 2, 431, 50363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 8. Let l = 13 - 8. Suppose 13 + l = -3*u. Let n be t(u). Solve j = -1 - n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4976 is divided by 415.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 697673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-3\/4)*p**7\/p*p**(-8)*p\/p**2 assuming p is positive.\nAnswer: p**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 times 4?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3625, -5\/3, -6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, r: 7, z: 1, i: 4, k: 1}. Give prob of picking 4 r.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.1 + -46. Let o = n - 0.1. Let h = -4 + 7. Are o and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -40, 79.\nAnswer: -40, -5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-51)\/(-18)*-2)\/(1\/(-3)). Let f = -18 + m. Let y be ((-46000)\/3)\/(f\/120). What is y rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*i = 42, 5*b - 28354 - 28204 + 56688 = -5*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*f - 91 - 357 = 0, 3*a = 5*f + 332. Suppose -4*r - i + 240 = -a, 5*r = -5*i + 450. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - v = 186. Suppose -29*j - 10 = -v*j. Suppose 2*o + 3*o = 10. Sort j, 3, o in increasing order.\nAnswer: o, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 greater than -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255755349 to the power of 1\/2, to the nearest integer?\nAnswer: 47495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074939876 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3\/3 + 12. Let r(v) = 14*v - 13*v + 0*v + 16*v**2 - v. Determine r(k(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 572831.3 days?\nAnswer: 49492624320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47754496*c**3*z**3 - 28*z**3 - 210593*z**2 wrt c?\nAnswer: 143263488*c**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 73 + 5 + (-47008)\/624\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 40 = 2*j, 9*h = 4*j + 4*h + 79. Calculate the common denominator of ((-59)\/(-3))\/(98\/j) and -57\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 2\/139, -5 in descending order.\nAnswer: 2\/139, -5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eheepneeenpfnneee. Give prob of sequence ppef.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:39 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q**2 + 2529*q - 84056 = 0. What is q?\nAnswer: 553\/13, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 9 + 11. What is the third derivative of -26*p**2 - 21*p**2 - 19*p**2 + j*p**6 + 17*p**2 wrt p?\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**4 - c**3 + c. Let p(b) = -44*b**4 - 9*b**3 - b**2 + 7*b + 15. Let z(w) = -p(w) + 7*r(w). What is the third derivative of z(x) wrt x?\nAnswer: 720*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, -1070, -7, 0.2?\nAnswer: -1070","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - x = -6*x - 200, 0 = -2*x + 2. Let h = m - -285. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/5 + (-8)\/20. Suppose 0 = -4*r - k*v, r - 2*v + 2 = 2*r. Let c(x) = -x**2 + 8. Let q be c(3). Sort 5, q, r.\nAnswer: r, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 - 3*d**3 + d**3 + d**2 - 2*d**3 - d**2 + (d**2 + 2*d**2 - d**2)*(19*d + 5*d - 8*d) to the form u*d**3 + w*d**2 + m*d + l and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Suppose -14 = -32*q + 39*q. Let n be ((-48)\/732)\/((-12)\/q). Is x >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -357*b + 352*b - 225, -53*j = -3*b - 6*j - 385 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.0819.\nAnswer: 0.4095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, 17.7 in increasing order.\nAnswer: -2\/5, 0, 17.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13000 divided by 1625?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3165*r + 109*r + 823*r + 2 to the form j*r + y and give j.\nAnswer: -2233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:29 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, r: 1, i: 2, p: 1, u: 3}. What is prob of picking 1 p, 1 y, and 1 r?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 492 + -926. What is the common denominator of -97\/18 and 9\/81 - n\/36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jff when three letters picked without replacement from {f: 4, j: 3, q: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24*(-6)\/54)\/(-3 + (-185)\/(-60)). Put 0, 1, 4, 2, l in decreasing order.\nAnswer: l, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**4\/12 + b. Let r(a) be the first derivative of a**3\/3 - a**2\/2 - 27880. Give r(z(f)).\nAnswer: f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (219\/(-511))\/(2*(-3)\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 11 + 5 = 0. Let l = 6060 - 6057. Which is the closest to -2\/7? (a) n (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -u + 4, -3*u - 2 = 2*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -303945*-0.4\nAnswer: 121578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*s - 32*s - 86*s to a*s + q and give a.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-320)\/(-156))*6\/(-656164). Let z = -59734381847\/34120528 - d. Let p = z - -1749. Find the common denominator of p and 57\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -551 + 4393. What are the prime factors of z?\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eak when three letters picked without replacement from {e: 3, k: 1, a: 4, j: 7, u: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 351676 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 b(n) = 3*n**2. Let y(d) = 6*d - 9*d + d. What is b(y(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97457 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1952 = -2*z + 35*a - 31*a, 2*z + 3*a = 1917. What is the remainder when z is divided by 65?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 4*u**2 - 3*u**2)*(2*u**2 + u**2 - u**2)*((-2*u + 2 - 2)*(0 - 8 + 1) - 3*u + 7*u - 2*u).\nAnswer: 64*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 567*o**3*s**2*v + 47*o**3*s**2 + 68*o*s**3 - o*v + 7*s**3*v wrt v?\nAnswer: 567*o**3*s**2 - o + 7*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425172842 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, and 1 d when three letters picked without replacement from {r: 1, i: 1, v: 1, g: 3, d: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 869101279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -7. Let r = 14.7 - p. Let q = 0.01 - 0.41. Which is the third smallest value? (a) r (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39*(-10)\/45)\/((-8)\/18*405\/(-1350))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhiirheiiereiiehhi. What is prob of picking 2 h, 1 r, and 1 e?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/5))\/(y\/y**(-2\/13))*(y*y**0)**(1\/12))**(-2\/75) assuming y is positive.\nAnswer: y**(211\/29250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -63*k + 466. Let u be s(7). Solve -3*j = -5*i + 9, -4*i - 5*j - u + 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 2*t**2 - 3*t**2)*(3 + 2*t - 3) + 3 + 1 - 5*t**3 + 4*t**3.\nAnswer: t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/42 - -1)*6894\/(-15320)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 - -103. Let n = -181 - w. Let u = n + 74. What is the nearest to -12 in 1\/9, 4, u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 153. Let z = n + -165. Which is the nearest to -2\/3? (a) 3 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*r + 18, -2*r + 0*g - 4*g = -22. Let l(i) = 0 - 3 + 2 + 12*i. What is the tens digit of l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*c - 3 = 25, -3*r + 5*c + 35 = 0. Suppose 120 = i + r*i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 599 in -544, 0.4, -20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3376, -6731, -10058, -13345, -16580?\nAnswer: -19751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-9)\/2))\/(-8)*-4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 329, 684, 1185, 1832, 2625?\nAnswer: 3564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 338449*g**2 - 22*g + 26*g.\nAnswer: -338449*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3730 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*q + 18 = -4*k, -3*k - 4*q - 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1629 + -1545. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 x when four letters picked without replacement from {x: 3, w: 1, h: 2, i: 1, k: 3, v: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + r + 4*r + 3*r**2 + 2*r. Is h(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r + 4. Let v(o) = 12*o + 9. Let m(z) = -5*h(z) + 3*v(z). Is m(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/9)\/(80\/(-48)). What is the closest to -2\/3 in 1\/5, -3, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -3, 4, -18, 50, 151?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176392 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -3*o - 6, o - 17 = -3*c. Suppose 10 = c*m - 0. Suppose m*j - 32 = 2*n - n, -n = 2*j - 36. What is the greatest common factor of 119 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1939? (a) -0.06 (b) 19\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282550099 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1548, -5688, -12646, -22422?\n\"Answer: -1409*h**2 + 87*h - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58579, 57661, 56743, 55825, 54907?\n\"Answer: -918*m + 59497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 59.9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*n + 246*n + 359 - 359 as l + r*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14058238?\nAnswer: 2, 1327, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 5. Suppose -2*i + 17*q = 19*q - 4, 5*i = 3*q + 18. Solve -i*h = -3*m + 24, -2*m + 2 - t = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**4 + 2*b**3 - 35195458*b**2 + 28677576?\nAnswer: 8*b**3 + 6*b**2 - 70390916*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**3\/3 + 2*s**2 - 18*s + 3. Let w be (-1 - 5\/(-3))*(-12 - -48). Let q = -29 + w. Calculate f(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 5*s**2 - 2*s**3 + 5*s**2 + (-3*s + 4*s**2 + 3*s)*(-3*s - 23 + 23) to the form i*s + h*s**2 + d*s**3 + j and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 12*g + 11. Let y(d) = -2*d**2 + 23*d - 21. Let s(x) = -11*c(x) - 6*y(x). Let l be s(5). Let a be (3\/3 + 0)*l. Solve 10 = 5*h - a*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1524 - 2701. Let y = 1182 + l. Let i = 699\/7 + -100. Which is the third biggest value? (a) i (b) 2\/9 (c) y (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7523083ug?\nAnswer: 0.0000000000007523083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9317517?\nAnswer: 3, 11, 282349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 14*x - 15*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -72. Let u(c) = -2*c**3 + 9*c**2 + 7*c - 6. Let y be u(j). Solve 0*h - y*f = -h + 10, -4*h - 3*f + 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 70*i - 169. Calculate the smallest common multiple of a(-32) and 255.\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-629152)\/24)\/((-88)\/66)?\nAnswer: 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4194002 + -5913194. Let i = f - -2659192. Round i to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 1. Let z = 19 + -16. Let g be n(z). Let l(r) = -r - 5. Determine l(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52863 divided by 17621\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 364184.9 millennia?\nAnswer: 4370218800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:49 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2, -5, -0.26 in decreasing order.\nAnswer: 2, 2\/5, -0.26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5250*v + 5237*v + 4 - 15711*v - 4 + 5242*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 43*h**2 - 19*h + 44. Let q be v(-21). Solve 3*r - q*j = 6, -3*r + 5*j - 6 = -6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-10)*y)\/(y*y**12*y*y))\/(((((y*y**(-12\/5)\/y*y)\/y)\/y)\/y)\/(y\/y**(-2\/3))) assuming y is positive.\nAnswer: y**(-254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 796313423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -863.\nAnswer: 1\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n - 185. Let b be o(-26). What is the derivative of 11*v**4 - 24*v**4 + 39*v**4 - v**2 - b wrt v?\nAnswer: 104*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108684576*n**2 - 2*n + 22818718.\nAnswer: -217369152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 300 (base 7) to base 11\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/60 - 9*s**2 + 14. Let o(j) be the third derivative of 2*j**4\/3 + j**2. Determine o(f(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*f - 3*f. Suppose r + r + f = 0. Let u = r + 26. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4211158?\nAnswer: 2, 7, 97, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.266*-12448.\nAnswer: -3311.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 317, -90983, -1 in decreasing order.\nAnswer: 317, -1, -90983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26437439 by -7.\nAnswer: 3776777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 76 = -2*x. Let 7*c - 10 + 20*c**2 - 4*c**3 + x - 11*c - 28*c = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231124 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57059 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m. Let r = m - -2. Suppose 0 = -2*l - r*l - 28. Calculate the common denominator of -61\/2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10291003 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30711*k**5 + 2*k**4 + k**3 - 50680*k**2?\nAnswer: 1842660*k**2 + 48*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 21*r + 48. Let k(h) = -61*h - 3. What is the least common multiple of r and k(-2)?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3850 by 770.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p)*(-2 + 2*p + 2)*(28*p**3 + 2 - 16*p**3 + 55*p - 14*p**3).\nAnswer: -4*p**5 + 110*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 329, -166, -2, -62 in increasing order.\nAnswer: -166, -62, -2, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 5*r - 4. Let z(l) = -5*l**2 + 3 + 6*l**2 + 39*l - 43*l. Determine 4*t(s) + 5*z(s).\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i + 3954*i**4 + 10*i - 11*i**3 + 6 - 3955*i**4 to the form u*i**4 + l*i**2 + c + p*i**3 + x*i and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let t(u) = -8*u**2 - 2*u + 2. What is t(b) - 4*x(b)?\nAnswer: -8*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*i**2*k - i**2*t**3 - 2*i**2*t - 151*i*t**3 - k*t**3 - 41*k*t**2 wrt t?\nAnswer: -6*i**2 - 906*i - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 3 - ((0 - 4) + -2)) + (33 - 28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**4\/12 + 7*y**3\/6 + 6*y**2 - 17*y. Let s be g(7). Calculate the highest common divisor of s and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5\/7)\/((i*i**(2\/9)*i)\/i)*i\/(i\/i**(-1\/4))*(i**(-6)\/i)\/i*i*i**0*i\/((i*i\/(i*(i*i**(2\/23))\/i))\/i*i*i)*(i**7*i)\/(i**(-1\/2)\/i) assuming i is positive.\nAnswer: i**(-3475\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + d**2 + d + 2. Let z be f(0). Suppose 3*u = -z*u. Solve p + u*p - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 1 + 230*c**2 - 434*c**2 - 2 + 257*c**2 as y*c**2 + x*c + f and give y.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qurr when four letters picked without replacement from {d: 4, u: 1, n: 3, q: 4, r: 2}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -304, -446, -582, -712, -836?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/6)\/d)\/(d*d\/(d\/(d**0*d))))**(-32)*(d**(1\/3)*d**(-3\/7)\/d)\/((d**2\/d)\/d*d*d*d**(-1)) assuming d is positive.\nAnswer: d**(844\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 5*v - 5. Let l be t(-6). Solve w = l, 0*w - 14 = 3*j + w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136437.36808 minus 17?\nAnswer: 136420.36808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/13 + 5060*k**2\/13 - 15194*k\/13 + 10132\/13 = 0. What is k?\nAnswer: -2533, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2903 + 2904. Let t = 2 + -10. Let b = -33 - t. What is the fourth smallest value in 5, u, b, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -696*x - 44. Does 34 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f)\/f*f)\/(f*f\/((f*f**(1\/13))\/f)*f*f)*f**3\/f**(-8\/5) assuming f is positive.\nAnswer: f**(-47\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*3975.2.\nAnswer: -3577.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h. Let b(d) = 2*d**2 - 4*d. Let z(k) = -9*k**2 + 15*k. Let l(x) = -15*b(x) - 4*z(x). Give o(l(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*f - 2. Let l = 148 + 78. Is -2 - f\/(4\/l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**4 + n**3 + n**2 + 3*n + 2. Let x(j) = -j + j**2 + j**4 - 2*j**4 - 2 + 3 + j**3 + 2*j. Let z(q) = 2*u(q) - 4*x(q). Let z(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1.2608.\nAnswer: -0.50432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 4*w + 4. Let p(c) = 3 - 2*c**2 - 2*c**2 - 2 + 3*c**2 + c. Let f = 0 + -2. Let m = f - -1. Calculate m*q(g) + 4*p(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2130 and 37630.\nAnswer: 112890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3111, -3262, -3349, -3372, -3331?\nAnswer: -3226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10021 + 1011?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 110*b**2 - 1083*b - 24. Determine g(10).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49298 - -49300.61576. Round d to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 20667.\nAnswer: 20667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18, 4, -2, 5.\nAnswer: -18, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -4, -0.08, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -131100 (base 4) to base 7\nAnswer: -5313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82.5? (a) -2\/11 (b) 23.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983914 = -2*x - s - 983875, 221 = -5*x + 4*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -85, -301, -739, -1477, -2593, -4165?\nAnswer: -6271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0150001 millennia to decades.\nAnswer: 1.50001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.52, 2, 30 in decreasing order.\nAnswer: 30, 2, 0.52, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/563 or 1?\nAnswer: 6\/563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - 4.6. Let a be 80\/304*(8\/(-20) + 0). Sort q, 4, 0.2, a.\nAnswer: q, a, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/((-123375)\/(-1790)) - 24\/(-9)\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 188. Let z = 50 + u. Let g = 30.8 + z. Round g to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 11*m - 12. Let f be z(-9). Suppose 2*i - 4*t + 5*t - f = 0, i - t = 0. Are 2 and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 - 127a0?\nAnswer: -12801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180519 is divided by 176967?\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -190*s + 244*s + 544*s + 170*s - 2. Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -k - k + 23*w - 141, 2*w - 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 396 = -2*g + 10*c, -5*g + 1050 = 2*c. Let v = -212 + g. Sort v, 1, 5.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16 = -2*n + 45, 3*w = n - 17. Suppose n*u - 327 = 149. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -2, 3 in increasing order.\nAnswer: -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*b**5 - 34*b**4 + 198*b**3 - 766*b**2 - 19*b - 73?\nAnswer: 1680*b**2 - 816*b + 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -72*l**2 - 1844*l - 49. Let z(w) = -w**2. Calculate i(z(o)).\nAnswer: -72*o**4 + 1844*o**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736*f + 2 - 2 - 43495*f.\nAnswer: -42759*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0102 and -7?\nAnswer: 6.9898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -3.42.\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45252 is divided by 139?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/3 - 700856*g**3\/3 + 3504218*g**2\/3 + 1401692*g = 0.\nAnswer: -1, 0, 6, 350423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4789 rounded to 2 decimal places?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8*8)\/(((-132)\/(-11))\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*q = -105315, 5*q - 8*q - 105310 = -5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -25\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/(-3 + (-4997)\/(-6612)*4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2\/4 - 4903*t + 1042245\/4 = 0.\nAnswer: -19665, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 11. Suppose -3*u + r - 4 = -u, r = l*u + 4. Suppose b + z = 5, -z + 5 = 2*b - 3. Solve u = -y - b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k = -64*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (1*sqrt(425) + sqrt(425))*6 - -6*((-2 + sqrt(425) - sqrt(425))**2 + 5 + 2).\nAnswer: 68 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/20)\/y)\/y)\/y*y**12\/y*y)**47 assuming y is positive.\nAnswer: y**(8507\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -25461871?\nAnswer: 25461872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20181 and 429.\nAnswer: 2885883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -185440 to the nearest one thousand.\nAnswer: -185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -20. Suppose 0 = l - 1 - a. Suppose 0 = -3*b - 3, l*v + b = -v + 563. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26876, -26932, -27024, -27158, -27340, -27576?\nAnswer: -27872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 752810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 42*q - 9430. Calculate the greatest common divisor of q and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*q - w, q = -6429*w + 6424*w - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 308.693 and -0.3054.\nAnswer: 308.3876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02761208915 to 4 dps.\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 + 2120222221?\nAnswer: 2121002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*h - 1 = 6, 2*y + h = 0. Let o(k) = -61*k**2 - 2*k + 4. Let t(f) = -62*f**2 - 2*f + 3. Let m(d) = 5*o(d) - 6*t(d). Is m(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2383? (a) 1 (b) -0.11719 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 210257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*q**3 + 17 - 55 + 19 wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**10\/5040 - h**6\/120 - h**3\/3 - h. Let p(i) be the second derivative of x(i). Find the third derivative of p(n) wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.4*-619.\nAnswer: -3342.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 1 = 57 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*d + 37 - 50, -5 = d - 2*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -12.282.\nAnswer: -24.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5929.6 to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, 114\/11, 2\/9, 0.4 in ascending order.\nAnswer: -3, -1, 2\/9, 0.4, 4, 114\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(228) - (sqrt(228) - (sqrt(228)*-3 - sqrt(228)))))\/(-2*2*sqrt(12)) + -1.\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 - -97. Suppose -4*b - p*b + 5*b = 0. Find the second derivative of b*u - 41*u**5 + u + 6*u + 0*u wrt u.\nAnswer: -820*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -5, -1\/3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 3*s**2 + 3*s**2 + (s**2 + s**2 - 4*s**2)*(-6*s + 0*s - 13*s) to n + g*s**3 + k*s**2 + w*s and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 2411352.\nAnswer: 16879464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 19*a**2 - 54*a + 361. Let j be d(17). Solve j = 40*k - 47*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 106, 196, 336, 544, 838, 1236?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -2\/5, 2\/19, 9, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17150, -17140, -17124, -17102?\n\"Answer: 3*v**2 + v - 17154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 1\/2 (c) -14138 (d) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**2. Let g(b) = 244*b**2. What is z(g(u))?\nAnswer: -535824*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -242998035702.85 and -0.4.\nAnswer: -242998035703.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/10)\/((-26)\/195). Let h(q) = -q - 3. What is the lowest common multiple of h(d) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66480 is divided by 2069?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 788180 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3869 - 3867. Let k = -29 - -69. Suppose 5*s + m*z = 24 + 8, -4*s = -2*z - k. Solve a + a = s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 d, and 1 o when four letters picked without replacement from pdmococmoddpdpd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68808 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -5\/3 (b) -0.1 (c) 0.4 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16*a*a)\/(a\/((a\/(a**(3\/2)*a))\/a*a*a*a)*a*a) assuming a is positive.\nAnswer: a**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/((-1)\/(-2)). Suppose -l - 4 = -f*l. Let g(b) = b**2 - 2*b. Let t be g(l). Solve t = -6*d + d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*i + 12232 - 12209 = 0, -5*m - 2*i - 34 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-36))\/(3\/(-27))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156584 is divided by 118.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 + 3*m. What is g(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -275*m + 283*m - 104. Let s(r) = -2*r + 25. Determine s(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6271.03963 minus 65.05?\nAnswer: -6336.08963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 54. Let h(p) = -2*p + 1. Let l be h(4). Let x = l - z. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725773434.\nAnswer: 2, 7, 11, 523, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 126\/(-567)*(18\/24 + (-39)\/4). What is the highest common factor of o and 7466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 804.1074mm?\nAnswer: 0.8041074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5609 + -5604. Solve -2 = 2*p - 2*o, 1 = -3*p - o + a*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 + 2 = 2*a, 5*a + 1 = -4*r. Let q(d) = -234 - a*d + 234. Let t(v) = 6*v**2. Calculate q(t(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**6\/4 + 13*z**4\/12 + 21*z**2. What is the second derivative of b(j) wrt j?\nAnswer: -180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 149*d**2 + 4*d. Let a(o) = o**2 + o. What is -4*a(j) + b(j)?\nAnswer: 145*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.20145*0.04\nAnswer: -0.008058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 - 29 - 24 - 27 + 4*o**2 - 38*o in the form z*o**2 + b + m*o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6*v*v**(5\/7)*v*v\/(v**(2\/9)*v)*(((v\/v**(-8))\/v)\/v)\/v*(v\/v**7)\/((((v**2*v)\/v)\/v)\/v)*(v**(-1\/4)*v)\/(v\/(v\/(v**2*v))*v*v) assuming v is positive.\nAnswer: v**(1069\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, 260, 732, 1092?\nAnswer: 1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(6 + 28 + 4)*(f - f - f + 2 - 2 - 2*f + (-1 + 1 + f)*(4 - 2 - 1) - 5 + 5 - 5*f) to the form o + z*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -44 + (-7)\/((-49)\/35). Let o = 123 + -81. Let l = o + p. Solve -2*j = -4*s, 0 = -5*s + 2*s + l*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224135217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 315 divided by -4\nAnswer: -315\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 12 - -3 - (-33 + 40 + (1 - -4))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 9.276734.\nAnswer: -9.276734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 95320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -0.5 (b) -0.4 (c) 2\/13 (d) -2\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.4*-1.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 1. Let n = 5.42 - -41.68. Let r = -47 + n. Which is the nearest to r? (a) -1\/4 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 32*h + 41 + 239 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6.99364 * 5\nAnswer: -34.9682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4228)\/(-210) - 18 - 4\/3. Let m = 0.19 + 0.01. Which is the closest to -2\/3? (a) m (b) 1\/10 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 13.8651 (b) -3 (c) 14 (d) 2 (e) -1 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-162) - (-3)\/((-54)\/(-4)). Suppose 2*f + 0*f + 2*q - 92 = k, -2*f + q + 95 = 0. Find the third derivative of -22 + f - 6*i**2 - 25 + 11*i**6 wrt i.\nAnswer: 1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*s**4 + 1 + (-88*s**2 + 88*s**2 - 23*s**4)*(1 + 0 - 2).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 + w**2 + 5*w**2 - 6*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = 4*p. Let r be p\/(1\/(-3)) + 3. Is r > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 22*y + 16*y - 30 = 0. Let v = 119 + -71. Sort -5, v, y in descending order.\nAnswer: v, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)\/(55\/2750). Solve j*c = 59*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4805911047 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298214 and 716.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 3 (b) -4.82 (c) 85\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*v + 7*v + 13 = 0, -2*v = -10. Solve 3*p = -1 - o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 520*u - 40. Let o be m(11). Calculate the common denominator of 2\/10 - 1736\/o and 64\/9.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -285339*h - 3138786. Give v(-11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*o + 6*o - 1, 0 = 3*u - 5*o - 21. Find the third derivative of 2*s**5 - 2*s + u*s**2 + s + s wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 4218c6a?\nAnswer: -4218c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*6\/(-40))\/(120\/50).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34623261 by 11541087.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/10 - (-12)\/30. Which is the second biggest value? (a) -3 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -14*j**3 - 2*j**2 - j. What is g(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 500 or 347619\/697?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -330 - -334. Suppose -3*u + 30384 = -3*d, y*u - 66755 = 3*d - 26238. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k**2*m**3 - 27*k**2 - 3017*k*m - 88288*m**4 - 3*m + 2 wrt m.\nAnswer: 54*k**2*m - 1059456*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*c = -1 + 100, -2*c = 5*m - 427. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209)*1*3)\/(sqrt(176)*-1 - (sqrt(11) - -3*sqrt(55)\/sqrt(5))).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 8*z**2 - 4*z + 1. Let d be p(6). Let y = d + -149\/3. Which is the second biggest value? (a) y (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ba47c (base 14) to base 6.\nAnswer: 151145102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 7*q**2 - 5*q - 6. Let j be v(6). Let n be (1\/(-3))\/((-2)\/6). Let h = j - n. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/807 (b) -4 (c) 4 (d) 25348\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*j**2\/2 + 132*j + 216.\nAnswer: 3*(j + 4)*(13*j + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Suppose -2*h + f = h + 9, v*h = -3*f - 21. Let w(o) = 2*o + 5 + o + o**2 + 2*o. Give w(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 14*p - 3. Give i(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1936)\/(-10))\/((545392\/(-890))\/(-383))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*d - 12. Let s(p) = 23*p**3 + p**2 + p - 1. What is the tens digit of s(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1839 and 1843 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 2, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - r - 15*r + 0*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102001120221 + -20122?\nAnswer: 102001100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 6 = f. Let h be 4\/6*(-3)\/2*-7. Let n = h + f. What is the remainder when 22 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -0.06, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-4)*(-16232)\/10145.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5814.9566 rounded to the nearest 10?\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/12 + w**3\/3 - 2*w**2. Differentiate c(o) with respect to o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 2. Let k be u(0). Suppose n + k*o + 3*o = 32, -3*o + 3 = 0. Suppose 4*b = n + 13. Calculate the remainder when 29 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 292 - 288. Solve 3*c - 4*l + 17 = 0, 0 = d*c + 5*l - 3*l - 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17121440 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 49. Let b be (2 + -5 + 4)*-1. Sort u, -5, 0, b in decreasing order.\nAnswer: u, 0, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o + 4 - 2 - o**3 - 1 - 6*o**2. Let i be a(-5). Let z be 57\/9 + (-2)\/6. Solve 4*n + z = -i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 15*v. Suppose -2*b - 15 + 19 = v. Suppose -5*h - 4*k - 10 = 0, 2*h + 4 = -0*h - 4*k. Sort h, 3, b in descending order.\nAnswer: 3, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 (base 11) in base 3?\nAnswer: 11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289591 divided by -241?\nAnswer: -5351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose d = 5*o + 30, 3*d - w*d + 10 = -3*o. What is the units digit of o\/25 + (-26)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1247, 5, 3 in descending order.\nAnswer: 1247, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7608*d = -7612*d + 3*s + 34, -15*d = -s - 107 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 347319773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*g + 4940, -o + 4*g + 1437 = 202. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3430 by 49.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30, 30, 26, 18, 6, -10?\n\"Answer: -2*l**2 + 6*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 6)*(-5*f + 0*f + 2*f)*(0*f + 2*f + 0*f)*(3*f - 9*f + 37*f).\nAnswer: 744*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 18. Let j = m - 1. Suppose -8 = 5*o - j*o. What is the highest common divisor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 + 3*w**2 - 3*w**2 - w**2 to the form u*w**2 + y*w + p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -30 + 6. Let y(i) = i**3 - 6*i**2 + i - 7. Let c be y(z). Let v = -1 - c. Which is bigger: v or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 707, 1423, 1999, 2435, 2731, 2887?\n\"Answer: -70*j**2 + 926*j - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a - 5. Let o be c(7). Suppose 4*q - 2*q - o = 0. Calculate the greatest common factor of q and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 16*a**2 - 15*a + 15. Suppose 4600 = 7*n - 8*n. Let q be 2\/(-9) + (n\/(-36))\/(-10). Is j(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**4 + 110*k**3 + 76*k**2 - 110*k - 114. Let m(u) = -u**4 + 22*u**3 + 15*u**2 - 22*u - 23. Let a(p) = 28*m(p) - 6*o(p). Let a(c) = 0. What is c?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 9*v**2 + 6*v - 15. Let q be k(-8). Let y(o) = -o**2 + 3*o. Let p be y(3). Is p < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2. Let g(r) = 341*r. Determine g(i(c)).\nAnswer: 682*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6397 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 4. Let q(f) = 2. Suppose -2*m - 24 = -10. Let r be (-3)\/6 + m\/(-2) + -1. Suppose -5*d - r*d = 14. Calculate d*p(l) + 4*q(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 46 + 13)*(0*d - 6 - 3*d + 3).\nAnswer: 195*d + 195","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*v - 8955 - 2358 = -183*v for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -69*a + 5. Let p be s(1). Let g = -65 - p. Which is greater: -1\/3 or g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2624 and 128?\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7757617 and -21039.\nAnswer: 7736578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r**2 + 10*r. Let z(y) = -17*y**2 + 19*y. Let i(v) = 11*d(v) - 6*z(v). What is the second derivative of i(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 13*l + 3. Let x(i) = 18*i**2 + 67*i - 7. What is the remainder when o(-6) is divided by x(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128*0.176015\nAnswer: -22.52992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 + 37*t - 174. Let f be w(4). What is the highest common factor of 407 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**5\/20 - 29*a**4\/16 + 61*a**3\/12 - 31*a**2\/8 - 2064. Suppose b(c) = 0. What is c?\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y - 63848 = -1796937. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12 = -4*h. Let m be (386 - (-6)\/3)\/(16 + -14). Let t(g) = -100*g - 95*g + m*g + 1. Give t(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 235\/13 - 1925838\/106535. Let y = q - -1966807\/57365. Is y > 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/45, 2\/7, 0.09, 0.081, 0.108, -1\/4?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 18501139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 19711556\nAnswer: -98557780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o - 14159 - 4801 = 312*o for o.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**5\/7 - 982*p**4\/7 + 5332*p**3\/7 + 186168*p**2\/7 + 822672*p\/7 + 642816\/7 = 0.\nAnswer: -496, -6, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48841990 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -34, -35, -38?\n\"Answer: -i**2 + 4*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(1 + -2) - 2. What is the third derivative of 0*q**p - 2*q**5 + 4*q**5 + 4*q**2 + q**2 wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(1\/6)*u*u*u**(-1\/4)\/u*u*u*u**(1\/3)\/u*u**(2\/9) assuming u is positive.\nAnswer: u**(125\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -1 (c) -90 (d) -3\/8 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -9 - (-56 + 51).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7960*o - 2748 = -4142*o - 4047*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7087\/18 + -394. Let h = -7680 - -184375\/24. Find the common denominator of h and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2268161 and 12054?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -799, -776, -729, -652, -539?\n\"Answer: a**3 + 6*a**2 - 2*a - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Suppose -s*d = -5 - 10. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 1307*p**2 + 370179*p + 893. Give y(892).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b + 3. Let q(k) = -5 + 2 + 25*k + 18 - 10. Give 5*j(t) - 3*q(t).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -8522.4?\nAnswer: -8522.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 2*b**3 - 24*b**2 + 2 + 10*b**2 + 12*b**2 to z*b + i + y*b**2 + l*b**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 12:28 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7119.9993294 - -7120. Round h to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061154 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 6. Which is the third smallest value? (a) q (b) 5 (c) 0.1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -642861 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6279453 divided by -31\nAnswer: -202563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let h(p) = 222*p**2 - p + 6. Give h(j(f)).\nAnswer: 222*f**2 - f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1297 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26592\/265 or -99?\nAnswer: -26592\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 42*b + 4. Let h(z) = -1007*z - 95. Let f(c) = 4*h(c) + 95*t(c). Let l(d) = 2*d**2. What is l(f(n))?\nAnswer: 2888*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759932577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532 is divided by 161?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:55 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76\/9 + 29\/3. Let u = y + -5\/9. Factor 2\/3*d + 0 - u*d**3 + 0*d**2.\nAnswer: -2*d*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1000*h. Let f(j) = 2*j**2. Give f(q(g)).\nAnswer: 2000000*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 4 (c) 1.1 (d) -3\/8 (e) 3\/7 (f) 5225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8109665 divided by -80?\nAnswer: 1621933\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1050214 (base 6) to base 16.\nAnswer: cfe2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.98 - -137.85. Let l = -3.17 - p. Let o = 181.0000158 + l. Round o to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + 222. Suppose b - q = -2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3342336610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (-3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 159822\/71 or 2250?\nAnswer: 159822\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 203329159 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d. Suppose u - 1 = -5. Let i(s) = -7*s. What is u*g(p) + 3*i(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 24*c + 16. Let x(g) = -120*g - 84. What is 11*k(m) + 2*x(m)?\nAnswer: 24*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -7.4.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10 and 134\/(-36) - (-2)\/(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((3 - 3) + 3). Let o = f + 7. Calculate the lowest common multiple of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 4, 6 in increasing order.\nAnswer: -4\/5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -35\/4*k**4 - 25\/2*k**2 + 24 + 5*k**5 - 115\/3*k**3 + 30*k. Suppose y(r) = 0. What is r?\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(88))\/((2*sqrt(96))\/sqrt(12)) + (5 + (sqrt(132)*-1)\/sqrt(12) - (5 + sqrt(11)*1 + sqrt(11) + sqrt(33)\/sqrt(12))).\nAnswer: -13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 174 in increasing order.\nAnswer: -1, 8, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - o = o + 10, 3*o = -4*t - 15. Let a = 64 - t. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2 - 1 - 6*y + y**2 - 2*y. Let d = -8 + 17. Calculate the remainder when 29 is divided by a(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*((sqrt(104) + sqrt(104) + sqrt(104) + sqrt(104)*2)*6)\/(sqrt(64)\/(sqrt(16)\/sqrt(2))).\nAnswer: -1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + ((-3300)\/(-70))\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 253 + -252.9. What is the fourth biggest value in 2, w, 1\/2, 4\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1382 and -5 + 623\/126 - 3?\nAnswer: 12438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 650. Suppose 0 = -2*f + 7*f + j. Let x = -26 - f. Solve -p + 1 + 0 = x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 12*x**2 + x + 2. Let q be l(12). Let u = 19 - q. List the prime factors of -4*15*(-2)\/u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:35 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(187)*4 + 2*sqrt(187)*-2 + sqrt(187))\/(1*(sqrt(11) - sqrt(396)*2)))**2.\nAnswer: 17\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 24, 1 in increasing order.\nAnswer: 1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-225)\/(-10) + (3\/(-2))\/(-3). Suppose -7*p + z + 26 = 0. What is the lowest common multiple of 48 and p?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2551485, -3, 1.\nAnswer: -5, -4, -3, 1, 2551485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -20, -3\/5, 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -63.86085 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.824741 + -12.398739. Let s = f + 10.123451. Let q = -3.1 - s. What is q rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 2. List the prime factors of f(-10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 5. Let b(i) = 385*i - 10. Give b(c) + 2*x(c).\nAnswer: 383*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900592 is divided by 225143?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 4*n + 4*n)*(-4*n**2 + 0*n**2 + 3*n**2) + 2 - 2*n**4 - 2 + (3*n - 3*n + 2*n**4)*(-4 + 2 + 0).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*-8\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -40, -60, -98, -160, -252, -380, -550?\n\"Answer: -u**3 - u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81625?\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.508128 millilitres?\nAnswer: 0.000508128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -5 - 28 - -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -155, 5, 6, -0.1, 1\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3575 divided by 55\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 14 + 28)*(-12377*i - 12 + 6185*i + 6202*i) to the form t + z*i and give z.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 25 = 5*s, 4*s - 5*r - 21 = 6*s. Suppose -s*w - 21*w = -11339. List the prime factors of w.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0 + 0*j + 5\/51*j**3 + 7\/510*j**5 + 3*j**2 + 11\/204*j**4 + 1\/1020*j**6. Determine m, given that z(m) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Suppose -w*d = 2*d - 110. Let p = d - 4. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + s + 49 = 0, 2*m - 5*s = -6*s - 13 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 22 = 15*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2. Suppose 92 = -3*f + 2*z, 18 = -2*f - 2*z - 30. Let h be (-15)\/(-13) + f\/182. Let v(t) = -h - 2*t - 6*t + 1. Give x(v(s)).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + (-2 + -5 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4407 is divided by 877.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33903644 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 22738900 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - -30. Let f = 39 - 18. Calculate the highest common divisor of i and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 1:46 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 7642339*r + 7642339*r + 13*r**3 - 5*r**3 + 11*r**2.\nAnswer: 3*r**3 + 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnuusuuonnsnnsy. What is prob of picking 3 s?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*u - 12 - 10, -18 = -3*u - 3*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*k + 24*k + 234. What is the greatest common factor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 13. Suppose -2*s - 3*d - 25 = 10, -d = -3*s - 25. What is the remainder when m(s) is divided by 16\/40 - (-296)\/10?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0045593 to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246326?\nAnswer: 2, 3, 207721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let u = -3.44 + t. What is u rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10054395 divided by 10054395\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 62*a**2 - 7*a - 55. Let i(l) = -187*l**2 + 20*l + 164. Let z(w) = -6*i(w) - 17*n(w). Find the second derivative of z(k) wrt k.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-76 - (-123 + 50))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1606, -1787, -2090, -2515, -3062, -3731, -4522?\n\"Answer: -61*p**2 + 2*p - 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -16bc6?\nAnswer: 16bd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) + (-133)\/(-3). Let a = -45 + p. Solve o - 2*o + 4*r + 19 = a, 4*r = 2*o - 22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35, 69, 83, 65, 3, -115, -301, -567?\n\"Answer: -2*g**3 + 2*g**2 + 42*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/234 and -83\/72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906\/12 + 6\/(-4) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i. Let p = 4 + i. Suppose -4 - 24 = -p*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -185*p**4 - 197*p**3 - 12*p**2 = 0.\nAnswer: -1, -12\/185, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 27 = -4*n + 3*g, -22*n + 27*n + 14*g = 87 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1665 - 192*t**4 - 12*t + t**3 + 834 - t**3 + 827 wrt t.\nAnswer: -2304*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1531 and 607?\nAnswer: 929317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*j + 3584, -2*j = 2*k + 1658 - 4034. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*o - 73 = -133, 4*f - 5*o = 11 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 27 = -9*q + 5*q + 2*x, 0 = -4*q - 3*x - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = 2*q - 12, 0 = -6*u - 5*q - 15. Solve a + 4*j - 1 = -7, 5*j + 10 = u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*r - 7*r + 45, -3*r = -3*c - 45. Solve -r = -2*k + 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1200 and -23\/40?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iirrurrruu. Give prob of sequence rrur.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*v - 66 - 64. Suppose -w - 2*w - 2*b = -5, -v*w + 2*b + 19 = 0. Solve -4*f = 4*k + 4, -k - w*f = -4*k + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/3 - 0)*3. Suppose -2*n + w*z + 84 = 17, 5*n - 2*z - 178 = 0. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 10*g + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 64*a**6\/9 - 176*a**5\/15 - 11*a**4\/3 + 104*a**3\/9 - 2*a**2 + 404. Find r such that s(r) = 0.\nAnswer: -3\/4, 0, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 + 20*y - 9*y - 10*y - 1399*y**2 + 682*y**2 + 687*y**2 + y**3 as n*y**2 + i*y**3 + b*y + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 1, g: 7, f: 4, h: 3}. What is prob of sequence wfn?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 2)*(-2 - a + 2*a + 5*a).\nAnswer: -36*a + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 269.7 - 273.7. Which is the closest to -2? (a) -0.1 (b) w (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 16 - 48 = 0. Suppose -525 = -u*b - b. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - g - 213, -5*l + 2*g = -0*g - 1062. Suppose -5*k = -3*p - l, 5*k - 10*k + 192 = 2*p. Calculate the remainder when k is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 938, 1345, 1750, 2153, 2554, 2953, 3350?\nAnswer: 3745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 2*3 + 0\/35. Suppose -3*b + 3*a + 12 = -0*b, 2*a = -2*b + 12. Let -l*g**5 + 6*g**5 + 3*g**b - 4*g**4 - 4*g**5 = 0. What is g?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2094*l**2 - 90008*l - 52. Give y(43).\nAnswer: 1410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-49) - (-489)\/7. Let t = d + -50. Solve -3*x - x = -t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 7*n + 6. Let r be w(-5). Let s(o) = -2*o**3 - 7*o**2 - 4*o. Let g be s(r). Calculate the highest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 17*q = 5*h + 15, -12 = -q + 4*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 367 - 367.0297. Let w = l - -0.04. What is w rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*s - 2 + 3*s - 5*s + 3*s + (-2*s - 2 + 2)*(0 + 3 - 5) - 28 + 1315*s + 27 - 1602*s.\nAnswer: -285*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/3)\/((q\/(q*(q*q\/q**(-2\/23))\/q))\/q*q))**(-4\/15) assuming q is positive.\nAnswer: q**(-668\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (694\/6)\/((268\/(-33) - -8)\/(-4)). Calculate the highest common factor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8938 and 81262?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-208)\/(-56) - (-4)\/14. Let r = 4 - 2. Let o be (-1)\/3 + (-20)\/(-6). Put r, t, o in decreasing order.\nAnswer: t, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16601911 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 = 3*m, 5*z - 2*z = 5*m - 6. Suppose -5*h = -4*g - 28, -g = z*h - 20 - 7. Calculate the smallest common multiple of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((920\/(-1150))\/((-16)\/10))\/((-1)\/(2\/(-65))).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.7, -9.0405, 2\/5, -4, 2, -5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33213 and 10407.\nAnswer: 115215897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*13\/(78\/60). Suppose g*x + 11 + 9 = -5*s, 0 = -x - 2*s - 9. Let c(v) = -2*v - 9*v + 13*v - 1 + 2*v**3 + 2*v**3. What is c(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895781.\nAnswer: 17, 23, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -108*r**5 + 108*r**5 + 132*r**5 + (-2*r**5 + 2*r**5 - r**5)*(2 - 1 - 2).\nAnswer: 133*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 3, r: 2, x: 4, z: 2}. What is prob of picking 1 r and 1 c?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.3303kg in milligrams?\nAnswer: 847330300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxsoooxosxsqsxx. Give prob of sequence ooqs.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiaiiidiaaiiaia. Give prob of picking 2 a.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-390)\/(-25) + 2\/5. Let l(s) = s**2 + 3*s - 12. Let r be l(-5). Let j be (2 - r - -34) + 2. Calculate the greatest common divisor of n and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 + 2*a**2 + 0*a**2 + (2 + 1 + 2)*(a**2 + a**2 + 0*a**2).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -218122?\nAnswer: -218122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 23 - k + 0*k + 0*k as o + a*k and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268 - 3*d - 268.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 30*w**2 + 0 + 5 - 4. Calculate the remainder when g(1) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.4 + 20. Let k be (2\/4)\/((-1)\/(-4)). Sort -0.5, n, k in decreasing order.\nAnswer: k, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33721, 54255, 74789, 95323, 115857, 136391?\n\"Answer: 20534*p + 13187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -89. Let i(m) = m**3 - 9*m**2 + 8*m - 5. Let h be i(8). What is the nearest to 0 in h, 2\/13, y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-1\/5))\/c**(-7)*(c**(2\/5)\/c)\/((c\/c**2*c*c)\/c)*c**(-1\/3)\/(c**(2\/17)\/c)*c**(-3\/8)\/(c**(-4)*c) assuming c is positive.\nAnswer: c**(23203\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5736, -6385, -7034, -7683, -8332, -8981?\n\"Answer: -649*s - 5087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - -5 - (5 + -1). Suppose -4*y + 6 = 2*o, -49 = -s*o + 3*y + y. Solve 2*f + 1 - o = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 5*x + 20 + 10, 5*x + 25 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-2 - 1200\/165).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 1 - (3 - 6). Let t(u) = 9*u - 5. Let a(f) = -f + 1. Let c(s) = 6*a(s) + t(s). Let z be c(i). Solve 0 = z*j + 2 + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = i, 2*m + 10 + 2 = -i. Let p = 5 + -7. List the prime factors of 8 - (i - 2 - p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 336 - 4?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 - n + 33*n**2 - 22*n**2 + n + 570.\nAnswer: -n**2 + 570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*t**2*z**2 + 2*t**2 - 13*t*z**2 + 3590*t*z - 2427*z**2 + 2*z + 613 wrt z.\nAnswer: -30*t**2 - 26*t - 4854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*p - 61 + 89. Is p less than -260\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 - d**3 + 3*d**3)*(-d + d - d**2) - 758 + 226*d**5 - 109*d**5 - 116*d**5.\nAnswer: 2*d**5 - 758","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -4. Let y = -0.41 - 6.59. Let x = y - k. Sort x, -0.4, -5 in decreasing order.\nAnswer: x, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -359 and -243838786.\nAnswer: -243839145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**8))\/y*y\/(y*y**34) assuming y is positive.\nAnswer: y**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 4:16 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 82. Let t be v(-17). Let i be 4 + t\/(-3) + 2 + -4. What is the highest common divisor of i and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28400667*j**2*o*y - 21238805*j**2*y - j**2 with respect to o.\nAnswer: -28400667*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*x + 3044611, 2*x = -116 + 132. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5110488*l**2*o - 2*l*o + 2069*l + 64*o + 1 wrt l.\nAnswer: 10220976*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.063 - -54.937. Let t = j - 55.00000184. Round t to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*v + 112*v**2 - 52*v + (0 - 2 + 3)*(-v**2 + 0*v**2 + 2*v**2) - 67*v**2 - 52*v**2 + 10*v**2 in the form x + s*v + w*v**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 91, -90, -503, -1244?\nAnswer: -2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443390 divided by 88678?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/49081 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 3*i + 1. Let l(w) = -w**3 + w**2 + 3*w. Let b(u) = 6*l(u) - 7*r(u). What is the remainder when b(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((0 + 2)*(-9)\/(-24)). Suppose 4 = w*f - 4. Find the second derivative of -13*b + 15*b**2 - 16*b**2 + 19*b**f wrt b.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1160, 2300, 3422, 4526, 5612, 6680, 7730?\nAnswer: 8762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r - 578803070 = -127708670. What is r rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -3*z**5\/35 + 3*z**4\/14 - z**3\/7 - 107. Solve p(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 1833*r**2\/2 - r - 1. Let v be 3 + -4 + -2 + 0. Let n be a(v). Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 + -13.9. Let o = 9 + n. What is the nearest to -2 in -1, 0.3, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -851*z**2 - 3968*z**3 + 851*z**2.\nAnswer: -3968*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 1, 14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h - 94744 = -95338 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 11 + 13. Let u(i) = 7*i + i**2 + 0*i**2 - 8 + 2. Let r be u(b). What is the nearest to 2\/5 in r, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677*a - a**2 - a**3 + 374*a + 303*a + a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - (0 + -1 + -2)) + -1300 + 1295?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*b + 701 = -328 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243759051 is divided by 81253016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -5\/2*f**2 + f - 1. Is r(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 5*f**7\/112 + 33*f**6\/80 + 219*f**5\/160 + 63*f**4\/32 + 9*f**3\/8 + f. Let d(c) = 0. What is c?\nAnswer: -3, -2, -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + r**2 - 2*r + 1. Let i(l) = l**3 + 4*l**2 - 3*l - 2. Let f be i(-5). Let g be 2*-3*2\/f. What is the units digit of t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 41. Give l(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {m: 11, p: 2, i: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 6*o = 2*q - 4, 2*q = -o + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 18*a - 60 = 0. Suppose -5*k + 325 = a. Let j = k - -1139. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.5 - -10.5. Let z be -1 + -2 + 1 + (-6)\/(-18). What is the closest to -3\/7 in o, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 156273?\nAnswer: 156323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1812, -4, 2194?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1075, 1074, 1073, 1072, 1071?\n\"Answer: -l + 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 4*o - 2. Let c be 3\/(1\/(-2) + 2). Suppose 4*z + 20 = 2*p, -c*z - 3 - 7 = 4*p. Suppose -3*a - a + 20 = p. Calculate q(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -4 - -1) + 4. Is v - (-3 + -104 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71784 in -2\/13, 0.6, 2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72969, -146144, -219309, -292458, -365585, -438684, -511749, -584774?\n\"Answer: c**3 - c**2 - 73179*c + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((-3)\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0413 - -0.4413. Put 0, 99\/5, o, -1, -4 in ascending order.\nAnswer: -4, -1, 0, o, 99\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/133 and (4\/3)\/((-693)\/432).\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -5*a - 334. What is the common denominator of ((-258)\/a - 1) + (-21)\/28 and -77\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2105 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.98 - 1.88. Let m = 3.9 + d. Which is the nearest to m? (a) -2\/7 (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-24)\/(-6)) + (-5)\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-14) + 2\/(-7). Let v = 27 + -20. Solve 3*a - 4*h - o = 0, -5*a + v = h - 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p + 3*p = 429 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 2*r - 70. Determine l(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - i + 8 = 0, -p = -6*p + 2*i + 14. Which is the biggest value? (a) 0.7 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 2*s**2 - 4*s**2 + (-4*s**2 - 5*s + 5*s)*(1 - 1 - 2) in the form j*s**2 + u*s + k and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 7, l: 3, x: 1}. What is prob of picking 1 r and 1 d?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -2\/3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (6 + -6)) + -5 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*u**3 - u**3 - 16*u**3 - 3*u**2 - u - 2*u**2 to v + q*u**2 + c*u**3 + p*u and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001*t**2 + 224*t**3 + 434*t**3 - 1003*t**2.\nAnswer: 658*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 483045272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/(-20)*-1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*a - b, -a + 3*b - 9 = -0*a. Suppose 516*u - 518 = -1083 - 1499. Put -1, -2, u, a in descending order.\nAnswer: a, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + 5*v + v - 86*v - 33*v - 33*v + (3 - v - 3)*(1 + 1 + 2) as c*v + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074950234 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -4*n - 9072*j + 9074*j, -4*n = 4*j + 48 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - g = -0*g + 34, -g - 28 = -4*z. Solve -3*x + z = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2.4. Let u = -5\/2 - -1. Which is the second biggest value? (a) u (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 2*l + 3. Let s(h) = -h**2 + 2*h + 3. Let n be 7\/14*(2 - 0). Let p be n*1\/(-1) - (-21)\/(-7). Calculate p*o(m) + 5*s(m).\nAnswer: -m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**5 + d**3 + d**2 - 1. Let s(m) = 3 - 2 - 3 + 6*m**2 + 2*m**3. Let j(c) = -2*p(c) + s(c). What is the third derivative of j(q) wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5007165?\nAnswer: 3, 5, 19, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 - 48. What is the third derivative of 4*k**6 - k**6 + 16*k**6 - z*k**2 + 17*k**2 wrt k?\nAnswer: 2280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4882, 1, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1095 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.14 + -4.14. Let f = -1.3 - -0.3. Which is the biggest value? (a) f (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 199815995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258726 * 0.5.\nAnswer: 129363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1\/8))*c\/((c\/(c**(1\/2)*c*c)*c)\/c))\/(c**(-1\/2))**(-39\/2) assuming c is positive.\nAnswer: c**(-59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w + 8. Let b(y) = -y**2 - 16*y. Let t be b(-16). Let l be t + -9 + -1 + 3. List the prime factors of s(l).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**5 - 2*l**2 + (-3 - 2*l**3 + 3)*(-93*l**2 - 13*l**2 - 79*l**2) + (2*l**2 + 2*l**2 - 5*l**2)*(-l + l + 2*l**3).\nAnswer: 366*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*p**3*u**3 - 2276*p**3 - 37*p*u**5 - 4*p*u wrt u.\nAnswer: 156*p**3*u - 740*p*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u - 19*u - 15 - u**2 + 23*u. Calculate n(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 22*x - 89. Give f(-15).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/11 (b) 145.3 (c) 6 (d) 7\/5 (e) -2\/5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44 + 138a93?\nAnswer: 139027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 4, d: 3, x: 6}. What is prob of sequence cdd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -5*k + 50, 7*t = k + 5*t - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3093 - 13*b**2 + 3093.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13183555.\nAnswer: 5, 7, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 29245 and -73335428.\nAnswer: -73306183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + b**2 + 6*b - 9. Let q be d(-4). Differentiate 6 + q*h**2 + 37 + 39 - 41*h**2 wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0\/(z\/(z*z\/z**(-17))))**41)**21)**(-50) assuming z is positive.\nAnswer: z**(-774900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -9. Let t be j\/(-15) + 28\/15. Solve s + l - 2 = 0, 3*s - 6*l + t*l = 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5.0000056. Round y to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4319606 to the nearest integer?\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 + 3*s**2 + 4. Let w(r) = -5*r**3 - 6*r**2 - 9. Calculate 13*q(t) + 6*w(t).\nAnswer: -4*t**3 + 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 53*-92*4\/10. Let q = d - -39091\/20. Calculate the common denominator of (-1062)\/132*1 - -5 and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.1 and -609.\nAnswer: -6150.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1421 and -3\/20503.\nAnswer: 143521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 19. Let x = -11 - 15. Let l = x - -44. What is the highest common factor of p and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1.4 (c) 2\/5 (d) 1\/5 (e) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 16*d = 96. Suppose -3*r + 25 = d. Solve 2*j + 0*j = 3*u + r, 2*u = 4*j - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ddrrrr?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1704 + 25568\/15. Find j such that 0*j**4 - 2\/15*j**5 - 4\/15 - 2\/5*j + t*j**3 + 4\/15*j**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/60 + 212*z**2. Let j(c) = -318*c**2. Give b(j(i)).\nAnswer: 101124*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sccs when four letters picked without replacement from ssscssscsssssssssscs.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232.517 weeks to microseconds.\nAnswer: 745426281600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 2*c**2 + 0*c**3 + 0 + 62*c + 1\/4*c**4. Let i(s) = 3*s**2 + 0*s**2 - 4*s**2. Calculate i(n(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*((-30)\/(-8))\/(-3). Suppose d*i = n + 16 - 1, 9 = 3*i - 5*n. Solve -i = -l + 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 1392*w**2 - 25788*w + 115680.\nAnswer: 3*(w - 10)*(w - 8)*(w + 482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 1. Let d be h(-2). Let f = 146 - 205. Is 12 a factor of f\/d - 3\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*m + 2, 4*m + 3 = 2*f + 9. Suppose -7*a = -5*a - 6. Let n be a - (-1 + m)*3. Solve -5*v = -g - n*g - 24, 3*g + 7 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*h + 6, -3*i + 13 = -2*h + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 4. Let v be b(3). Put 3, v, 2 in ascending order.\nAnswer: 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, 2\/111, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106856862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*v + 230*v + 370*v + 11669 - 29009 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278389 is divided by 1313.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(5184\/(-90))*(-9)\/30?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l - 3*n, l + n + 17 = -l. Is 7 a factor of (28\/(-8))\/(1\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = w - 6. Let k be ((-2)\/(-17))\/(1 - 2\/w). Is 0 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 3*v + 13 = 0, -4*v = 3*d - 9. Let a = 1 + 2. Suppose 6*k - a*k = 3. Sort k, 2, d.\nAnswer: d, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*b - 221 - 241. Solve -3*o + b*o - 36 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 30 = o. Let x = -9 - o. Suppose h + x - 3 = 0. What is the third smallest value in h, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 192 = 403. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 195024.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2376.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94556 and 13508?\nAnswer: 94556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9344192, 18688444, 28032686, 37376912, 46721116, 56065292, 65409434, 74753536?\nAnswer: 84097592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 37*j**4\/6 + 19*j**3\/2 - 62*j - 1. Find the second derivative of y(w) wrt w.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304 and 3648.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.002804 * -11\nAnswer: -0.030844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -313 divided by -43042\nAnswer: 313\/43042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -347, -423, -499, -575, -651?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g + 10. Let v = g + 4. Is (v\/6)\/((-2)\/(-24)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2 - 457174*o + 914344 = 0?\nAnswer: 2, 457172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388698 is divided by 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y. Let q be (65\/(-20) + 4)*8. Let g(u) = -5*u. Determine q*n(r) - 17*g(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(17)*2 + sqrt(85)\/sqrt(45))*-3 - ((sqrt(2448) - 2*sqrt(2448)*2) + -3))**2.\nAnswer: 282*sqrt(17) + 37562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-30)\/8 + 5 + (-804)\/(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let t be (25\/10 + -2)*10. Suppose 0 = -c - 4*c + t. What is the least common multiple of n and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -972 - -5970. Does 34 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42458253 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7126, -7127, -7128?\nAnswer: -7129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177041 or 177046?\nAnswer: 177041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1357, -5090, -11201, -19684, -30533?\n\"Answer: x**3 - 1195*x**2 - 155*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19478 - 47*x**2 + 9736 + 9742.\nAnswer: -47*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 77 = -223. Let c = 141 + b. Suppose -3*o = 59 - c. Calculate the least common multiple of 11 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4551 - 4539. Let i = -6 + -4. Let w(h) = -h**2 - 11*h - 2. Calculate the remainder when j is divided by w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 572.\nAnswer: -1\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 869772*j**2*q - 3*j*q + 336*j + 128*q wrt j?\nAnswer: 1739544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1248*4.4.\nAnswer: -5491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -16. Let g = y - 2. Let s(n) = n**3 - 3*n**2 - 4*n + 6. Let r be s(g). Solve t = -3 + r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -544.96 and -14.\nAnswer: 7629.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4.498 (b) 4 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -12. Suppose 0 = -2*v + 3*l + 504, 2*v + v = l + 763. Suppose 5*y - 145 - v = 0. What is the greatest common factor of y and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggggggggggggggggi?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 8, 0 = -6*m + m - 4*j + 48. Differentiate 5*a + 0*a - 69 - m*a**3 + 7*a**4 + 8*a**3 with respect to a.\nAnswer: 28*a**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 283884370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = -6*z + 3*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567549?\nAnswer: 1567549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:15 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**5\/120 + u**4\/4 + u**3\/3 - 5*u. Let n(t) be the second derivative of b(t). Give n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - -8 - (-118 - -98).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 101*r. Let y(k) = 2*k + 1143. Calculate y(a(i)).\nAnswer: 202*i + 1143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 + 4310124103?\nAnswer: 4310124220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/4 - (-2)\/4) + 15\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000989479 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*l - 51, -43 - 5 = -5*l - 2*i. Solve -4*h + 20 = -5*o, -2*h - 4*o = -0*h - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(45)\/(sqrt(9)*1)*-4.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/7)\/(157\/(1872696\/(-72)))?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*u - 149*u + 279*u + u**4 - 2*u**3 + 2 to c + d*u**4 + h*u**2 + z*u**3 + b*u and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493.6278 hours to microseconds.\nAnswer: 1777060080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56657 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3723.83 litres to millilitres.\nAnswer: 3723830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:27 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**3 - 5*a**3 - 3*a**3)*(-3*a - a + 6*a)*(0 - 1 + 0) + a**4 + 4*a - 4*a.\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 278, 24, -2, -44, 0 in decreasing order.\nAnswer: 278, 24, 0, -1, -2, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -2. Calculate the smallest common multiple of h and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (1 + (4 - -2) - (5 - -7))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/3)\/x)\/(x**(2\/3)\/x)*x\/x**(8\/3)*x**(-8) assuming x is positive.\nAnswer: x**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5 + 4913*f**4 - f**3 + 5954365*f**2 - f wrt f.\nAnswer: 60*f**2 + 117912*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 8887379?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 104?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by (-72)\/(-40) - (-2)\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l**4 + 16*l**3 - 31*l**2 - 23*l + 4. Let j(k) = 7*k**4 + 8*k**3 - 15*k**2 - 11*k + 2. Let a(r) = -3*f(r) + 7*j(r). Solve a(u) = 0.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*n**4 + 3*n**4 - 9*n**4 + 19 wrt n?\nAnswer: -76*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(3\/4) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101456 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11882217 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 1. Let s = y + 11. Let v(d) = -d**2 + 7*d - 1. Determine v(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - -8. Let j = t - 54.21. Let r = j - 0.09. Do 2 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 1766.\nAnswer: 3\/1766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -2, 3144.7, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (((sqrt(275) - sqrt(275)*-1) + 0 - sqrt(275) - (sqrt(275) + (sqrt(275) - (sqrt(275)*1*4 - sqrt(275))))) + -2)**2).\nAnswer: -200*sqrt(11) + 5540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11655647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -67*z**3 + 3*z**2 - 5*z + 50. Let j be w(-6). Calculate the highest common factor of 40 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 2. Let x be o(2). Let n = 5 + x. Suppose 0*a + 101 = 3*j - a, a = -n*j + 163. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-5)*28\/((-588)\/105).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 11*i**2 + 7*i - 3. Let y be (-84)\/(-4)*4\/14. Let o be k(y). Suppose -2*v = -6 - 4, -2*w + o*v = -149. List the prime factors of w.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -654 + 5407. Is 59 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 {w: 1, x: 2, m: 3, d: 4}. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292 divided by -4?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(130) + (sqrt(130) - sqrt(130)*-2))*-6)\/(-5*sqrt(40)\/sqrt(4)).\nAnswer: 96*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14167 and 72206.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -362 - -542. Let u = 30 - 10. Calculate the highest common divisor of v and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -95. Calculate the remainder when 212 is divided by c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12390790 divided by -391\nAnswer: 31690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6528\/(-2720)*(1 - 26\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244*a**3 - 2571*a**2?\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530133.\nAnswer: 11, 113, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19253 - 9421 = -162*x. Suppose g + 1160 = 5*g. Let p = g - x. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 1755643?\nAnswer: -1755643.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2650 minus 442482.37404?\nAnswer: -445132.37404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/18 and -11\/321?\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - c - 4*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -209*k**2 - 79418*k + 763. Give j(-380).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*g + 2*g**2 + 334*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7411770 and 6670593.\nAnswer: 66705930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 174*v + 8. Let t(o) = 224*o + 8. Give -4*t(s) + 5*x(s).\nAnswer: -26*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 - -1.25. Let p = q + -0.05. Let c = 0.9945 + p. What is c rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14)*7*(2 - 3). Suppose 2*x = 3*r - 3745, -n*r + r - 3*x + 1252 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*x = 91*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 3375?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 70 + 7 = -2*u, 3*u = -n + 122. Let g = -33 + u. Calculate the lowest common multiple of 2 and g\/(-12) - (1 + (-26)\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-11124)\/243*3\/8 and 119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 237 - 94 + 3*u - 72 - u**2 - 28*u. Give n(-28).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19960203 divided by 57?\nAnswer: -350179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -3\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/23757168 and -61\/1003824.\nAnswer: 71271504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*t**2 - 19*t + 61*t**2 + 64*t**2 wrt t.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592201963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3*w + 2 = 0, -694 + 696 = -3*n - 2*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2. Let j(h) = 10*h + 2. Let t(w) = 101*w**2 + 110*w + 23. Let i(y) = -11*j(y) + t(y). Give i(o(l)).\nAnswer: 1616*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -348584 (base 11) to base 2\nAnswer: -10000111000001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 6, n = -9*g - 247 + 229 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 75 + 66)*(-1 - 1 + 3)*(-34 - 35*z + 21 + 13).\nAnswer: -2765*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46.3 + 10.3. Do 0.05 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f - 977*f + 13885 = 697*f - 69857 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78489 is divided by 211.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0 - 1\/6*j**3 - 3*j + 5\/2*j**2 - 1\/12*j**4. Let n be u(0). Let w(p) = p**3 - 6*p**2 + 5*p - 7. What is w(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, w: 5, k: 2, d: 2, y: 1}. What is prob of sequence dn?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 2*m + 11*b, 9745*b - 9742*b + 34 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**2 + 373*k**2 - 236*k**2 + 458*k**2 as y*k + j + u*k**2 and give u.\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2327*f**3 - 90958*f?\nAnswer: -13962*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 319*q - 6. Let m(k) = 78*k - 1. Let y(n) = 6*m(n) - t(n). Let u(z) = -21*z - 3. Calculate y(u(f)).\nAnswer: -3129*f - 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/132*(-18)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 409 = 2*h + 1, 2*x + 2*h = 200. What is the second derivative of -15*u**2 + 39*u**2 - x*u + 72*u wrt u?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6497 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8337 or 1000543\/120?\nAnswer: 8337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 12*q**2 - 10*q - 6. Let t(z) = 33 - 8*z + 3*z + z**2 + 15*z. Let c be t(-5). Does 17 divide k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-4*3 - -1*(sqrt(204) + 1*sqrt(204) + sqrt(204)))\/(((-2*sqrt(288))\/sqrt(6))\/(sqrt(16)\/sqrt(4)*-6)).\nAnswer: -27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 33*y. Let o(j) = 2*j + 9. What is p(o(g))?\nAnswer: 66*g + 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 200 + b - 3*b**2 - 63 + 2*b - 137. Let i(y) = -y**2 + y + 1. Calculate -4*i(n) + j(n).\nAnswer: n**2 - n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*m + 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 43. Let s be k(0). Let d = -41 + s. What is the derivative of -6 + 11 + 0 + 18 - 8*v**d wrt v?\nAnswer: -16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 51 and -3539542.2.\nAnswer: -3539491.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -1.95. Let k = f - 7.35. Let x = k - -7.000046. What is x rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**3 - 3*x**2 + x + 135. Let n(s) = 2*s**3 - s**2 + 46. Let w(c) = -8*n(c) + 3*v(c). What is the remainder when w(0) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3835642 a multiple of 939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-105)*(-3409)\/3896.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 2*z**3 - 3*z**3 + 3*z - 3*z - z**3 + (-2*z**2 + 0 + 0)*(-z + 0*z + 2*z) + (-2*z - 1 + 3*z + 0*z)*(6 - 2 + 2)*(26*z**2 - 44*z**2 - 25*z**2).\nAnswer: -260*z**3 + 258*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = p - 2*y - 16, 2*y + 8 = 5*p. Suppose 2*z + 5*l + 41 = p, l - 74 = 5*z + 4*l. Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*z - 333*z + 545 = -157*z - 934. Solve -34\/5*k + 8\/5 - 2*k**2 + 9\/10*k**z = 0.\nAnswer: -2, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 547*q + 505*q - 254 = 0, 3*q + 20 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5585 + 2822 + 2542 - 2*k)*(-3*k - 2*k - 3*k) to the form j*k + p + y*k**2 and give j.\nAnswer: 1768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*d - 14*d. Which is bigger: 10\/717 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 587413 (base 12) to base 14.\nAnswer: 2906bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 9, i: 1}. Give prob of sequence ca.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (3 + -4 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-15) + 7\/(-5). Let s = -7393.5 + 7394. Put t, -0.1, s, 4\/5 in decreasing order.\nAnswer: 4\/5, s, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**15\/z)\/(z*z**(-11\/5))*z**(-11\/3)\/z**(-10\/9))**(2\/43) assuming z is positive.\nAnswer: z**(1228\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 17*g - 50*g + 13. What is the closest to -3\/833 in 4, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159219397?\nAnswer: 159219397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153602 to the power of 1\/2, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 218*p + 1966. Let b be d(-9). Put b, 672, 0 in ascending order.\nAnswer: 0, b, 672","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txcc. What is prob of sequence tc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y - 5*c - 16 = 0, -y = 2*c - 8. Find the third derivative of 31*k**6 + y*k**2 + 181 - 181 wrt k.\nAnswer: 3720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -2 + 4 - -1 - -11. What is the greatest common factor of 88 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpzizipiiiippiip. Give prob of picking 1 z and 1 i.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*((-n - n + n)*(-1 - 1 + 1) - 1 + 1 + 3*n - 32 + 32 + 8*n) to u*n + o and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 5*r - 3*r)*(-2*r**4 + 2*r**4 + 6*r**4) - 3*r**5 + 3*r**5 + 2*r**5.\nAnswer: 20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. What are the prime factors of (0 + -93)\/(t\/(-2))?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -1204971\nAnswer: -72298.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57523.84 millilitres in litres?\nAnswer: 57.52384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 30. Let h be u(-13). Let g = h - -23. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130190245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218906*z - 168917*z - 400256*z - 1054181*z.\nAnswer: -1404448*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 2120 = 8*m - 4*m - 34*m for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllptllvvtlvlllxll. What is prob of picking 2 l and 1 p?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 - x**5 + 4*x**5 + (25*x**2 - 38*x**2 + 19*x**2)*(x**3 - 2*x**3 + 2*x**3).\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(891) - (sqrt(88) + 3*sqrt(88))\/sqrt(8).\nAnswer: -1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75131409 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 20790?\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/25)\/((-1)\/(-25)). Let b = 15 + f. Suppose 2*h - 7*h + 10 = 0. Solve h*a = -b - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 123 in -1, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 101. Let w(s) = -s**3 - s**2 - 1674. Let v be w(m). What is the tens digit of 4\/((-32)\/v) - (-2)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 - 799 = -13*r. Suppose -4*t + r = 2*s, 0 = t - 14 + 11. What is the remainder when 417 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3 + 86*y**2\/5 + 112*y\/5 = 0. Calculate y.\nAnswer: -7, -8\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11611585 to the nearest integer?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -4, 3\/7, 7\/68?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 7, y: 6}. What is prob of picking 1 l, 2 o, and 1 y?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 353\/12 - 147\/5. Let c(k) be the third derivative of -q*k**6 + 0*k**5 - 1\/3*k**4 + k**2 + 0 + 0*k**3 + 0*k. Find the second derivative of c(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7686051\/248 - 30992. Let l = -11323 + 181245\/16. Find the common denominator of l and u.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223*y**4 + 3*y**2 - 45*y + 57?\nAnswer: 2676*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 44880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(17)) - (sqrt(204)*2)\/sqrt(12).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {l: 1, f: 2, y: 1, s: 6, u: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**3\/3 - 3*j**2 + 6*j - 3. Let i be t(-7). Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 9*n - 80. Let k be 1*2\/(-1) + 2. Suppose -4*o = -2*b - 242, k*b + 2*b = -2*o + 130. What is the remainder when o is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 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: Solve -2*s - 153555 = 182*s - 152819 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1332*a**3 + 1108*a**3 + 4631*a**3 - 1.\nAnswer: 7071*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-158)\/(-8) + (-2)\/(-8). Let a = 22 - b. Let g(h) = -3*h**2 + h + 4*h**2 + 5*h**a + 4 - 7*h**2. Give g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4 + 2*z - 4 - 8*z. Is u(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5976 divided by -9?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -5\/3473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 1, -1\/1417, 2 in increasing order.\nAnswer: -3, -1\/1417, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m + 85*m - 2001065 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a week in hours?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r + r - 2441783 = -2434699 for r.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376649.\nAnswer: 7, 13, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 11*q - 18*q. Let h(m) = 3*m**2 + 11*m - 14. Let d(b) = -8*b**2 - 21*b + 29. Let f(y) = q*h(y) + 4*d(y). Factor f(x).\nAnswer: -5*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - sqrt(2205))*-2.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 315.\nAnswer: 314.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + 10 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by 39.\nAnswer: 146\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 1017, 1527, 2037?\nAnswer: 2547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {u: 1, m: 1, x: 4, o: 1, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4\/5 + 8*n**3 + 32*n**2\/5 - 8*n - 36\/5 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4568833 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrw when three letters picked without replacement from rkkkkkwurkwruukkrrwy?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 9 - f - 54 - 65 + 30.\nAnswer: -f - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15825 + -15829. Sort v, 152, 5 in increasing order.\nAnswer: v, 5, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaraar. Give prob of sequence aaar.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-56)*4)\/21)\/(23\/(-460))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 983999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/267 and -55\/1596?\nAnswer: 142044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.99765 to 2 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 289?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/81800 and 7\/51125.\nAnswer: 409000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.9999827 + -37. What is b rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3 = 3*h, -5*d + 2*h - 60 = -h. Let x(a) = 5*a + 49. Let f be x(d). Solve -f*v + 7*v = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529704104 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 remainder when 134603 is divided by 666.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.0662 (b) -0.079 (c) -0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -19)*4*135\/(-270). Determine p, given that 6*p**4 + 48*p**2 - 1\/2*p**5 - j*p**3 + 0 - 32*p = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*q, -4*d + q - 24466 + 24493 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/207 and -70\/3726621.\nAnswer: 3726621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let x be -2 + 8\/4 - 3. Let m be f(x). Suppose 6*q = m*q + 16. What is the lowest common multiple of 9 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/99 - (-1145)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2525, 10118, 22761, 40454?\nAnswer: 63197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16826.58 + 16972.5682. Let m = -25.9 - 120.1. Let q = i + m. What is q rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:06 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13949 is divided by 3419?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**5 - 8*y**4 - 6*y**3 + 175*y**2.\nAnswer: 180*y**2 - 192*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2037 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 448*w. Let j(g) = -8*g**2 + 20. Let o(i) = i**2 - 2. Let m(z) = -j(z) - 10*o(z). Calculate q(m(p)).\nAnswer: -8*p**4 - 896*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16\/85 + 7\/17. Let i = 4.3 + -4. Let p = 0.535 + -0.135. What is the second biggest value in p, 0, f, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + -0.18?\nAnswer: 74.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 5:01 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 639 and 139089.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {a: 2, e: 4, y: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -15*n**2 - n**3 - 9*n**2 + 46 - 27*n - 16 - 74. Calculate the smallest common multiple of 6 and f(-23).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q + 5*m = 5, 2*m = 4*q - 22. Suppose 2*o - 56 = -5*n + 10, 0 = n - q*o - 24. What is the first derivative of -2 + 0 + n*v**3 - 6*v**3 + 1 wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328 + -326. Solve -q*r + 15 = -5*n, -n - 15 = -3*n + 5*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 n, and 1 i when four letters picked without replacement from {q: 2, i: 3, g: 9, n: 2}?\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**6\/90 - b**5\/15 + b**3\/3 - 7. Let d(w) be the third derivative of k(w). Suppose d(a) = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0070208 - -0.007. What is a rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - sqrt(180)*-1)**2*3.\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = l - 5. Suppose 2*o - 6*o = -l. Suppose -2*p + 4 = h + 6, 4*p = o*h - 4. Solve -3*m + 5 = 4*x, h*m + 3*m = 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4682 divided by -3429?\nAnswer: 4682\/3429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (868\/5)\/(6\/15). Let c = -421 + j. Calculate the remainder when 118 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4157774 to the power of 1\/2, to the nearest integer?\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 34 + 34. Calculate the remainder when 39 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1216, 1214, 1212, 1210, 1208?\n\"Answer: -2*v + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 13536.\nAnswer: 13543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/9 (b) 132 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 4*j**4 - 3 + 2 + 2123*j - 2120*j + 0*j**4 in the form x*j + l*j**2 + h*j**4 + g*j**3 + a and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**1\/o*o*o**3)\/(o\/((o\/(o**(-2)\/o)*o*o)\/o)*o**4) assuming o is positive.\nAnswer: o**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*x - 1)*(-4 - 4 + 6)*(13*x**2 - 22*x**2 + 11*x**2) in the form k + r*x**3 + h*x + a*x**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1435\/8 + -179. What is the nearest to -1 in t, 0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 12 = 8365*v - 8368*v, 72 = 2*v - 14*j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17625 - -30862. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from zxzzzzkxkzkzkkmkj.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*n + 3*h, 287*h - 285*h - 16 = -5*n. Solve 8 = 2*r - g + 9, 9 = n*r - 3*g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.68 * -5\nAnswer: -103.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16057 - 48100 + 5492 - l.\nAnswer: -l - 58665","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102011 + -10?\nAnswer: -102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12712997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5.91 * 3665\nAnswer: 21660.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9. Let l(b) = 3*b**2 - 9 - o*b**2 - 3*b + 3*b**2. Is l(7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.8 (b) 1\/3 (c) -10110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 26*k**2 + 2875*k + 37198. Calculate c(-13).\nAnswer: 4217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*t - 129 = -51, 37 = h - 4*t. Calculate the highest common divisor of 12997 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 11) to base 14\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2530264782?\nAnswer: 2, 3, 67, 137, 45943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:10 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 33. Let x(m) = m - 17. Let r(p) = 3*v(p) + 5*x(p). What is the derivative of r(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 10) to base 5.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*m - 123 = 3*w - 310*m, -13*w + 2*m - 577 = 0 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + -66. Suppose -8*d - a = -11*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 16*a**2 + 3*a - 12. Calculate the remainder when 105 is divided by j(16).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851528197?\nAnswer: 13, 503, 130223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = 13*b + p - 2, 3*p + 18 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 5*x**2 - 6*x + 4. Let d be j(-3). Suppose -3*y + q = -10, -y - d*q = -4*y - 5. Solve 0 = -l + 5*w + 25 - 0, 0 = -3*l + y*w + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and 0.02.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40294, 80082, 119870, 159658, 199446?\n\"Answer: 39788*w + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/((2\/(-14))\/(12\/(-21)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 40345*h**2 + 6*h - 6*h - 42014*h**2. Let z(p) = 2*p**2. What is z(l(j))?\nAnswer: 5571122*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (136\/51 - 4\/6) + 10917. Suppose 4*t + 303 = v. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 22 + 8 = 0. Let o = -1 + l. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2228 - 1854 = 17*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 3*d**6\/140 - d**5\/210 - 2*d**4\/21 + 281*d**2. Factor g(l).\nAnswer: 2*l*(l - 1)*(9*l + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 17416650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 32 = 4*h, u + u - 14 = -2*h. Suppose u*t - 3*t = 0. Suppose t*a - 3*a + 5*i + 155 = 0, 0 = -4*a - 4*i + 196. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b**3\/5 + 10263*b**2\/5 - 23037*b\/5 + 5118\/5 = 0 for b.\nAnswer: 1\/4, 2, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 1 in decreasing order.\nAnswer: 2, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725737 is divided by 635.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-33930)*-87*36\/60?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Suppose h*l = 5*a + 34, -3*a - 34 = -3*l + 17. Put l, 0, 2 in decreasing order.\nAnswer: l, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 6 = -3*x. Let b = 11691 - 11690. Sort -11, x, b.\nAnswer: -11, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkkqkjqvqvkq. What is prob of picking 2 v?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 10*f**2 + 14*f + 31. Let b be w(13). Let r = -439 - b. Let v = r + 415. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + (33 - (39 + 14)) + 140.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1529 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5, 5*y = 10*t - 9*t + 5. Solve 59*c - 44*c + 15 = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 483089875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 210788893583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16.4 and -1.1?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 89859.85 micrometers in nanometers?\nAnswer: 89859850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(130\/(-20)) - (0 + 8\/(-26))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3377 times -0.2\nAnswer: -675.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-3)\/(-10))\/(9\/5). Is 5 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -17*n**4\/8 + 15*n**3\/2 - 8*n**2. Let a(v) = 17*v - 15. Let m(w) = 17*a(w) + 6*g(w). Differentiate m(c) wrt c.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*m - 40, 3*m - 39 - 51 = 4*p. Let a = m - 16. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b**2 + 2. Let p be f(0). Let z(q) be the second derivative of 0 - 4*q + 1\/42*q**4 + 2\/21*q**3 + 0*q**p. Suppose z(j) = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m*m**1\/m*m*m*(m**(1\/4)*m)\/m**0)\/((m\/(m**0*m))**(1\/32)\/((m**4\/m)\/(m*(m*m*m**7)\/m*m))) assuming m is positive.\nAnswer: m**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.034 + -10.4. Round k to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1768592 - 2092.25\nAnswer: -1770684.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 2*l**3 - l**3 + 8*l**3 to the form m*l**3 + u*l + d*l**2 + v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2156137 divided by -5\nAnswer: 2156137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - p + 16. Let l be r(0). What is the highest common divisor of l and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256749180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -298, 117, -351\/5 in decreasing order.\nAnswer: 117, -351\/5, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Let k = -5 + o. Let q = -276 + 277. Sort k, 2, q in descending order.\nAnswer: 2, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(8415\/34)*-5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3903653.\nAnswer: 13, 467, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5000 and 56.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01589 and 1.\nAnswer: -0.01589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**5)**9)**(-9\/11)\/(((i**7*i)\/(i\/(i\/((i\/(i**6\/i)*i)\/i)*i)))\/((i*i**4)\/(i**(2\/5)*i))) assuming i is positive.\nAnswer: i**(-3352\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(117) + 5 - (sqrt(13) + 5 + sqrt(52)\/sqrt(4)))*-5.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 134 - -4?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from zzeypeeeezyeezneebez.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4*k + 60, -5*k + 20 = -k. Solve -z = -6*m + 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 19.54. Let h = -0.16 - u. Which is bigger: h or 2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -79*d - 2059. Let x be i(-26). Let j be 4\/(-6) + 32\/(-6). Sort -1, j, x in decreasing order.\nAnswer: -1, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -13. Let o = 5 - v. Let j = 0 + -1. What is the nearest to -1 in j, -0.1, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -9*g - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -4, 2, 9, 5 in ascending order.\nAnswer: -30, -4, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 63*a**5 - 5*a**3 + 101*a**5 - 11*a**5 - 4*a**5 + 0*a**5 + (-4*a**3 - 6*a**3 + 4*a**3)*(-a**2 + 3 - 3) - a**4 - 2*a**5 + a**4.\nAnswer: 27*a**5 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*g - 6 = 4*o, 0 = -5*g + 25. Let k(d) = 6*d**3 + d**2 + 2*d. Is k(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -1253, 2, -1, -14 in decreasing order.\nAnswer: 5, 2, -1, -7, -14, -1253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2 - (0 - 3)). Suppose 4*w - 19 = f. What is the second derivative of 0*i + 3*i + 3*i + 3*i**w - 4*i wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -7387.972?\nAnswer: -7387.972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:32 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1199*t + 242. Let j(o) = -20*o - 4. Let a(u) = -2*b(u) - 121*j(u). Let r(g) = -2*g. Give r(a(l)).\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2693, -10908, -24879, -44834, -71001, -103608?\n\"Answer: -38*z**3 - 2650*z**2 + z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14*i**5 - 2*i**4 - 2*i**2 + 8*i + 2. Let f(x) = x**4 + x**2 + x - 1. Let b(j) = 2*f(j) + v(j). Find the second derivative of b(h) wrt h.\nAnswer: -280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -46 + (47 - -33).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 15*i - 10*i. Solve -b + 14 - 4 = -4*t, -i*b = 4*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3)*2 + 1 - (sqrt(9)\/(sqrt(3) + sqrt(9)\/sqrt(3)) - sqrt(18)\/(sqrt(6) + sqrt(54)))**2.\nAnswer: -2*sqrt(3) + 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12125\/588 - 9\/196. Let p = a - -20. Sort -3\/4, 3, 0.4, p in descending order.\nAnswer: 3, 0.4, p, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 121*y**3 - 14*y**2 + 20*y. Let n(s) = -40*s**3 + 5*s**2 - 7*s. Calculate 17*n(a) + 6*o(a).\nAnswer: 46*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3621679.\nAnswer: 47, 251, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + 384\/(-40) - 41759994\/(-15). Round x to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/43524 and 85\/24024.\nAnswer: 6702696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 0.34. Let y = 1.8 - v. Let d = 2.5 - y. Which is the third smallest value? (a) 1\/2 (b) 0.02 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54, 91, 140, 207, 298, 419, 576?\n\"Answer: j**3 + 30*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + 1 - (13 + -11)) + 3. Suppose 11*b - 4*r = 16*b - 520, 4*b - 416 = 4*r. Suppose -x*h = -11*h + b. Is 52 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -27*f + 1478. Determine m(55).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-3)*-9*(-4)\/42?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 14*k**2 + 15*k + 2. Let o be s(-15). Let t be 2\/8 + (-2)\/o. Which is the nearest to -0.1? (a) 0 (b) -7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(171)*-1 + -1))**2.\nAnswer: 150*sqrt(19) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563152 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 6139, 0.04 in decreasing order.\nAnswer: 6139, 0.04, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (2*4 + -1 - (-564 + 569)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65, 370, 883, 1610, 2557, 3730, 5135?\n\"Answer: h**3 + 98*h**2 + 4*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0815 + -0.7987. Round d to two decimal places.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let w = h + -1. Suppose 2*m + i - 59 = w, 5*m = 5*i + 89 + 51. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -0.3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1250*a**4\/9 - 1000*a**3\/9 + 100*a**2\/3 - 40*a\/9 + 2\/9.\nAnswer: 2*(5*a - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 133302393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81650 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 10 - 2*2. Let x = k - -19. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(2*(sqrt(76) + 2 + sqrt(76)) + sqrt(76)) + -3*(2 + sqrt(76) + sqrt(76) + 4 + (sqrt(76) - (-2 + sqrt(76)))) + -4)**2.\nAnswer: -672*sqrt(19) + 15040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3439 + -3419. Solve -4*s = 4*a - 16, 53*a = 58*a - 5*s + c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -15*k. Let p(i) = i**2 - i + 1. Let s(g) = -2*g + 2. Let z(x) = -2*p(x) + s(x). Calculate c(z(b)).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -164497, -1, 4.\nAnswer: -164497, -95, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + w + 6, 4*a - w - 30 = 3. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2760 and 92?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 1:30 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/9 (c) 0.2 (d) -3018115 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l. Let s be x(4). Let j(w) = -w**2 - 10. Let o(k) = -15*k + 29 + 5*k + 3*k**2 + 9*k. Let b(n) = 11*j(n) + 4*o(n). Calculate b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -809\/35 >= -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5995341*l**5 - 5995339*l**5 + 518*l**2 + 465*l**2 - 299*l**3 wrt l?\nAnswer: 120*l**2 - 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -0.5, 4\/3, -0.06?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0555639 centuries in decades?\nAnswer: 0.555639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6624 and 9240.\nAnswer: 2550240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(0*h**2 - 3*h**2 - 11 + 2*h**2).\nAnswer: 2*h**2 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/4)\/(-5) - 18\/24. Let w be 10\/(-4)*(-6)\/9. What is the third biggest value in -2\/5, 1, g, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202 + -200. Does 12 divide (26\/(-4))\/(p\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -72. Suppose 3*x = -m*x. Solve 2*h + 2*h - 16 = 4*l, x = l - 2*h + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 81.957. What is j rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1095\/(-6)*(-144)\/320*136\/(-153)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:32 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3055196 and 292?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 59, 82, 107, 134, 163, 194?\n\"Answer: j**2 + 18*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eszl when four letters picked without replacement from ssellllselzlellell.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(3) + 0)*-5 + sqrt(3) + ((sqrt(33)*2)\/sqrt(11))**2.\nAnswer: -3*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 151330?\nAnswer: -151414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35551725 by -43093.\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 j when three letters picked without replacement from ddlljjddlldlqqdlldql?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Solve 0 = i*d + 3*b - 19, 17 = 3*d - 2*d + 4*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 15. Solve o = 4*s, -5*t - s - 10 = -0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295\/295*5\/(-30)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*i + 13*i + 9*i)*((2*i - i - 2*i)*(-4 - 2 + 3) - i - i - 4*i) in the form s*i**2 + g*i + l and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 7:12 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 27, 59, 113, 195, 311, 467, 669?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 106 = -d + 5*v, -5*d - 4*v = -472. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = -3*h - w, h + w = -5. Let t be 2\/((-3)\/h + (-655)\/220). Calculate the greatest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7324\/45 - 816\/5. Which is the second biggest value? (a) z (b) -1\/3 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 647 divide 239905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000110010110111101011 (base 2) in base 9?\nAnswer: 8250282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.313508 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23415810?\nAnswer: 2, 3, 5, 11, 70957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 - 1204*l**2 + 2817*l - 9571. What is z(399)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxz when three letters picked without replacement from xzxllzxllxl?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3647?\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -8. Let x be 1\/(3\/i) + -1. Suppose -5*d + 2*b + b + 383 = 0, -x*b + 87 = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104 + (-71934)\/(-684))*(-8)\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + 5.9. Let d = 3 + -2. Let r(n) = -n - 3. Let v be r(-5). What is the smallest value in d, c, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c**3 - 9*c. Suppose -2*r - 33 = -13*r. Let z(w) = 8*w**r + 12*w + 19*w - 27*w. What is 4*g(m) + 9*z(m)?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 1:56 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 713 + -574. Let s = 139.01420892 + -0.01493892. Let z = s - r. Round z to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(40\/80)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 498579 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**5*(l**(-1)\/l)\/l)\/(l**(-1))**37)**(4\/3))**(-2\/13) assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 32, 88 in increasing order.\nAnswer: 3, 32, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, -2, 1, 10, 0.8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:33 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2075 divided by 415\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x - 37. Let a(m) = 4*m + 38. Suppose -2*r = -3*t - 24 + 35, -12 = 4*r - 4*t. Determine r*d(v) + 3*a(v).\nAnswer: 2*v + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 9, 6, 1, -6, -15, -26?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 12, -390*v = j - 394*v - 1. Solve -10*u = 67 - j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/((-44)\/462).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*g + 278835*w - 278831*w, 18*g = -5*w + 49 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:56 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -24. Let x be (-16)\/(-6)*((-20)\/(-8) - u). Suppose 2*b = 3*h - 14 - 86, 136 = x*h - 4*b. Calculate the remainder when 61 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 11 - 9, -2*c = -5*d + 1. Let n = 13 + -9. Suppose 5*i - n*i + 3*b = 7, 0 = 5*b. Calculate the remainder when c is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 4. Suppose -39 + o = -3*v. Let n = 31 + -12. What is the remainder when n is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12505 = 9*l - 16412. Suppose 0 = -7*j - 14*j + l. What is the highest common factor of j and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = -7*j - 17*j + 24*j. Solve 62*t + 166 + 206 = j for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c + 7. Let s be u(-2). What is the units digit of (3 - (s + 0)) + 39 + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116251466 - 2?\nAnswer: 116251464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l + 3*k, 3*l + l + 5*k + 1 = 0. Which is the nearest to l? (a) 2\/3 (b) -6\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/173 (b) -4\/5 (c) -3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66, -129, -190, -249?\n\"Answer: j**2 - 66*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1021141242 + -344?\nAnswer: -1021142141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 127*x**2 - 124*x - 252.\nAnswer: -(x - 126)*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2726649362?\nAnswer: 2, 37, 179, 205847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 4, s: 5, q: 7, w: 2}. What is prob of picking 1 x and 1 q?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5 in decreasing order.\nAnswer: 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-6\/37)*m*m**(1\/3)*m**(3\/4)*m assuming m is positive.\nAnswer: m**(1513\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873393321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-1)\/sqrt(8) + (sqrt(21) - -2*(sqrt(21) + sqrt(84))))\/(sqrt(343)*2*-2).\nAnswer: -3*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 + 30*d)*(-11 + 1 - 19) + 2*d - 4*d + 4*d + 3*d - 6*d + 4*d.\nAnswer: -867*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(9 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssk when four letters picked without replacement from {s: 5, k: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4623303.07 to the nearest one hundred.\nAnswer: -4623300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 7734672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -17615?\nAnswer: 17614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 6 + 29 = 2*o + 62, -19 = n + 4*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 269936.2 litres in millilitres?\nAnswer: 269936200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -125, -1.\nAnswer: -125, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10*w**2 - 131*w - 163. Determine m(-11).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -b9a383 (base 14) to base 6\nAnswer: -342452051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 7. Let x = -11 + 7. Is x\/h + 1216\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 38*l**3 + 4*l**2 - 4*l**2.\nAnswer: -35*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3469*m - 2893952 = 30004*m - 3926*m for m.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = -111 + 183 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/175)\/(22\/(-110))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 139 - 351 = 0. Let j be 1344\/(-40) - (-6)\/10. Let p = j + g. What is the greatest common factor of 112 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - b)*(2 + 1 + 20).\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 7:39 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -12, 9, 0, 3, -39, 12 in descending order.\nAnswer: 12, 9, 3, 0, -12, -39, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22092 and 2893.\nAnswer: 243012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/12060 and -29\/10720.\nAnswer: 96480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 13 - (-18 - -11) - 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 2. Let s(m) be the first derivative of -3*m**2\/2 - 5*m + 241. Give 4*s(d) + 10*u(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**6\/15 - 13*n**4\/4 + 175*n**3\/6 + 31*n - 3. Find the second derivative of q(b) wrt b.\nAnswer: -24*b**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265656 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:43 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + a**2)*(-27*a**2 + 45 - 53 + 40*a**2).\nAnswer: 13*a**4 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30211*f**2 - 19*f - 259 wrt f.\nAnswer: 60422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from byiiiiiii.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7634.\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-27)\/12)*(-2)\/3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -380390 or -380389?\nAnswer: -380389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 4*n**2 + 2*n - 1. Determine j(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from nnjenhhennjn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1218*p + 505. Let k(c) = 2*c. Let d(x) = -6*k(x) - t(x). Differentiate d(f) wrt f.\nAnswer: 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*q**2 - 315*q**2 + 154*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83663251 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-4 + -2)) + -13 + 3 + 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b + 75. Determine v(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3025*t + 125. Let w(m) = 72*m + 3. Let d(b) = 6*h(b) - 250*w(b). Let i(f) = -f. Give i(d(g)).\nAnswer: -150*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -y + 5*f, -4*y - 3*f = -y - 6. Let d be 159\/9 + (5 + -3 - 6). Let z = -73\/6 + d. What is the closest to z in y, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8556.07 + -8505. What is r rounded to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.4 (c) 0.2799 (d) 4 (e) -1\/10 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 173896 (base 10) to base 7\nAnswer: 1322662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*p = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17165.367 and 3.7084?\nAnswer: 17169.0754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 4. Let j be v(-8). Suppose -88 = q + 4*y, j*y - 48 = q + 40. Let r = -74 - q. Calculate the remainder when 68 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**3\/3 - 3*q**2 + 10*q - 1. Suppose -g + 4*g = -21. Let d be p(g). Solve 3*i - 8 = 2*j, 0*i + 2 = -d*j + 2*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*p + 251*p + 993295 = 116497. Is 33 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58819 + 58747 = 4*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125.5, -0.4, -2\/31, 0.4 in decreasing order.\nAnswer: 125.5, 0.4, -2\/31, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12308360 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -13*q - 560. List the prime factors of t(-46).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -3. Let i = -11 - -10.92. Let b = i + 0.08. What is the closest to -0.1 in -2\/3, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + 7154*n - 35793. Calculate p(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 8:23 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3819 and 3509091.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42660811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*r - 6 = 0, 14 = y - 6*y - 2*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16)\/((-8)\/(-64)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000192253389 rounded to 7 dps?\nAnswer: -0.0001923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -7. Suppose -2*c = -r*c + 10. Let p(l) = -2 + 2*l - c + 0*l. Calculate p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30260359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 21 (b) 0 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(468) - (sqrt(468) + sqrt(468)*-2*-1))*-2)**2.\nAnswer: 96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-220))\/(((-5)\/25)\/(30\/(-60))).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7978?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 10*h - 20 + (3*h + h - 3*h)*(1 - 1 + 2))*(0 - 2*h + 0).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -53 + 153. Let r(c) = -c - 14. Calculate the lowest common multiple of r(v) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/558 and -32\/22071?\nAnswer: 4105206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 31*j - 122. Determine v(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -623, -633, -655, -695, -759, -853?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-119*l**4 + 0*l**2 + 127*l**4 + l**2 + 4*l**3)*(-15 + 200 - 16) as f*l**2 + u*l + q*l**4 + d*l**3 + v and give q.\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 5*u**2 - 5*u + 3. Suppose -2*m - 2 = -3*j, -2*j - m + 9 + 4 = 0. Let o be k(j). What is the second biggest value in -1\/4, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 40 = 28. Let u(m) = 3*m - 5. Let s be u(-6). Let q = s + j. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at most -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/2651 - -8523\/503690. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 279 = 5*n. List the prime factors of (-16)\/56 + n\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/14)\/(2\/(-14)). Which is smaller: -1\/9 or a?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**7\/504 - 5*n**4\/12 + 7*n. Let g(f) be the third derivative of z(f). Let t(b) = 3*b**2. Determine g(t(h)).\nAnswer: 45*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 6*z - 6*z = 17*z - 5*l + 38, 2*l - 17 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h**7)**(-1\/27) assuming h is positive.\nAnswer: h**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 8:49 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5625 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 100. Let k = -41 - -10. Let c = k + i. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58549158 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2043523*f + 13. Determine p(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 169 = 4*b, -b = 2*n - 4*b - 113. Suppose 57*c = n*c + 796. What are the prime factors of c?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.126, 2\/11, -4\/2045 in increasing order.\nAnswer: -4\/2045, 0.126, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - 2*n)*(-9797 + 3009 + 3859 + 3735).\nAnswer: 1612*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from nzmmmnzmmzzzznhmnzn.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30337021691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -59. Let f(p) = 4*p - 20*p**y + 0*p**3 + 28*p**2 - p - 6 + p**3. List the prime factors of f(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 36. Let q be z(9). Solve -2*i + 3*c - 20 = 0, q = 5*i - 7*c + 4*c + 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483 = -7*y + 644 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5417\/549 - -141\/61. What is the common denominator of y and 15\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/((-8)\/(-36)). Let a be (7\/s)\/((-3)\/9). Let k(f) be the third derivative of f**5\/60 - 7*f**4\/24 - f**3\/6 - f**2. Calculate k(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 383.976 + -381. Let m = -4.9 + 1.9. Let q = m + f. What is q rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 22 = -10*m. Solve 0*v + 30 = m*v - 4*y, v + y = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 + (21548 - -2) + 0\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(192)\/sqrt(8))\/sqrt(12).\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaaaaaeaa. Give prob of sequence eee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3388 + 10370. What are the prime factors of r?\nAnswer: 2, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 196, -7, -50540 in ascending order.\nAnswer: -50540, -7, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -643.983 (b) -2\/13 (c) 2\/3 (d) -6 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -385f (base 16) to base 10.\nAnswer: -14431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 36 - 24. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2769302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2 + 4. Suppose -2*v = 2*h - 5*v + 12, -2*h - z*v = -8. Suppose -5*l = -3*o + 6, -5*o + l - 12 = -h*o. Do o and -3 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6947902600 rounded to the nearest 1000000?\nAnswer: 6948000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*n = -13, -3*v - 2*v - 4*n + 44 = 0. Let k = -6 + v. Solve 0 = k*o + 3*q + 23, 36 = -7*o + 3*o - 4*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/8 (b) 0.001054 (c) -4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5242462 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/10 - 631*w**3\/10 - 79731*w**2\/10 - 1320129*w\/10 + 140049 = 0.\nAnswer: -90, -21, 1, 741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1136\/10 + (-2)\/(-5). Suppose -p + 20 = 3*p. Suppose -2*q = p*r - i, -3*q + 171 = -3*r + 2*r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37447 (base 8) to base 3.\nAnswer: -211011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -95, 5, -1, 4 in decreasing order.\nAnswer: 5, 4, -1, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3416 is divided by 307.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 5 + 5)*(1 - 1 + 3*c**2) + 310*c**2 - 331*c**2 - 3*c**3 + 2*c**3 in the form m*c + i + b*c**2 + t*c**3 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.679 - -83.021. Let s = -85 + v. Which is the closest to 4\/5? (a) -2 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 161560*q**2 + 1615300*q - 4038000.\nAnswer: 4*(q - 40380)*(q - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 6*b**2 + 13*b - 93. Give w(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504913 (base 10) to base 14.\nAnswer: d2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1211 (base 4) to base 14\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1054?\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let j be q(-2). Is ((-39)\/(-9))\/(j\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-99)*(-9)\/60?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*8\/32*(-874)\/(-46)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -94.825.\nAnswer: -94.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 10*u**2 - 7*u - 30. Give j(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106874 - -106883. Suppose 4*i + 2*g = -43 - 27, -g + 37 = -2*i. Let p be -2 - i\/2 - -2. What is the greatest common factor of p and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 45 - 249 = 0. Let a(w) = w**2 - 5*w + 8. Let b be 6\/(-12) - 26\/(-4). Let i be a(b). Calculate the greatest common divisor of h and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 5. Suppose -b = s + 4, -5*b + 10*s = 5*s - 20. Suppose b = -7*p - 9 + 2. Let f be p + (0 - (5 - 1)). Calculate j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16263, -16315, -16367?\nAnswer: -16419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12473639 greater than or equal to -12473642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -2\/11 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*o, -1040*q - 5*o = -1044*q + 2*o - 68 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 26*x + 111. Let j be l(15). Suppose 0 = -21*q + 717 + j. Does 37 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 41\/3 - 2\/(-6). Suppose 0 = -f + 3 + p. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5819412 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3)**40)**(2\/55) assuming x is positive.\nAnswer: x**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 4*m + 1542. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 231, 773, 1833, 3585, 6203?\nAnswer: 9861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 2. Calculate x(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 16982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 16*j + 4*o - 2 = 0, 0 = -j - 5*o - 8. Solve 2 = j*s - p, 3*p - 8 = -p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, -1, 3, -26.\nAnswer: -26, -15, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7611653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 106 = 2*g - 384, 0 = h + g - 122. Let s = 614\/5 - h. What is the nearest to s in 0.2, -1, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6994, -7065, -7158, -7273?\nAnswer: -7410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i + 49. Let l(m) = -2856*m. Determine l(j(q)).\nAnswer: 5712*q - 139944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 21. Calculate the remainder when (-36)\/(-2) + 1 + w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20476, -81910, -184298, -327640?\n\"Answer: -20477*f**2 - 3*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11*y - 11. Let z(t) = -25*t - 26. Let b(u) = -9*k(u) + 4*z(u). Let r(c) = -c - 6. Determine -4*b(w) + 3*r(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*n**2 + 209*n**2 - 426*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220273.\nAnswer: 977, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 + -542051440\nAnswer: -542051440.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from appapa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m**3 - 2 + 0*m**5 - 2*m + 0*m**4 + 1\/105*m**7 + 0*m**2 + 1\/75*m**6. Let k(x) be the first derivative of n(x). Factor k(r).\nAnswer: 2*r**4*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 74*h + 2*h**2 - 37*h - 34*h + (31*h + 4 - 4)*(3 - 3 + 2*h).\nAnswer: 64*h**2 + 3*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -6*b**2 + 0*b - 1\/135*b**5 + 0*b**3 - 1\/108*b**4 + 1\/180*b**6 + 0. Factor q(g).\nAnswer: 2*g*(g - 1)*(3*g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*-1)\/((-4)\/10). Suppose 0 = o*b + 8 - 33. Suppose -b*i = -6*i + 22. Solve -5*x = -4*g - i, -3*x + 2*g + 2*g = -18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -907, -2\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01382509755 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(-2*(-2 + sqrt(931) + (sqrt(931) - (sqrt(931) + 1)) + sqrt(931) + sqrt(931) - sqrt(931)))**2.\nAnswer: -44796 + 1008*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6)*153\/3. Let p = 11 - u. Let m be 5*(-3)\/30*p. Solve s - 9 = 5*v + m, 3*s = -2*v + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 276087671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/5)\/(z*(((z**(2\/25)*z)\/z)\/z)\/z)*(z**(2\/5))**(-23\/4) assuming z is positive.\nAnswer: z**(-59\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11278*o**5 + 2*o**2 - 41*o - 216 wrt o?\nAnswer: 676680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*sqrt(2057))*6 - (-5 + (sqrt(2057) - (sqrt(2057) + (4*sqrt(2057))**2))*-5).\nAnswer: -164549 + 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29290*h**3*w**2 + 337*h**2 - 5*h + w**2 wrt h?\nAnswer: -175740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - ((-6 - -1) + 37 + -32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -167800309 and -26681.\nAnswer: -167826990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 24*f + 29. Let q = 1536 - 1532. What is the remainder when j(-23) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 767 - 769 - 6*z - 8*z**4 - 3*z**4 + 5*z**4 - 3*z**4 - z**4 + (2*z**4 - 4*z**4 - 2*z**4)*(2 + 0 - 1).\nAnswer: -14*z**4 - 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavvvvvvavavtt. Give prob of sequence atv.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/9, -2.48, -0.1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93059 + 93082. Suppose -a - a = 10. What is the third biggest value in a, f, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224*b*j**3 + 2*b*j**2 + 18*j**2 wrt j?\nAnswer: -1344*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -146989, -147006, -147023?\n\"Answer: -17*a - 146972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1601891653 to the nearest integer?\nAnswer: 40024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -249690038, -499380078, -749070118, -998760158?\n\"Answer: -249690040*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6809*m = -7422*m - 20229 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*l - 13. Suppose -41*g = -29*g + 216. Calculate the smallest common multiple of 5 and (-105)\/(-9) + l\/g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) - 37\/(-7). Let o be (-3)\/(-15) + 14\/5. Suppose 6 + 23 = h*u + o*v, 2*v = -u + 10. Let l(w) = -w**3 + 4*w**2 + 3. Determine l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 34. Let q = -20 - x. Suppose 17*a - 27 = -2*r + 12*a, 0 = 2*r + 2*a - 24. What is the smallest common multiple of r and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g + 84. Let n be f(23). Is 14 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(207\/36 + -6 + 9\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177347250*d**3 - 8913713*d + 3?\nAnswer: -1064083500*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9 = -3*o, -h - 2*h = 5*o - 15. Let b(v) = -13*v**2 + 12*v**2 - o + 2*v + 4. Let j be b(-2). Is j > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q**3 + q - q - 17*q**2 + 2 - 64*q**2 + 18*q**2.\nAnswer: 33*q**3 - 63*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 4:51 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/(-20) - -3) + (-174)\/10. Let l be ((-14)\/q - 1)*33\/22. Let v = -4\/431 - -1445\/16378. Is l >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49624, -49603, -49598, -49615, -49660, -49739, -49858?\n\"Answer: -m**3 - 2*m**2 + 34*m - 49655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 11 = -3*v + 8, -5*v + 4*g + 21 = 0. Suppose -u - 5*p - 36 = -v*u, -3*p = 5*u - 82. What is the greatest common factor of u and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479.2330341 rounded to two dps?\nAnswer: 479.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knakznnailakann. What is prob of sequence an?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/23)*a*a**(2\/3))\/(a\/(a\/(a*a**(1\/7)))*a*a**11*a) assuming a is positive.\nAnswer: a**(-5984\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, -48, 3, 5 in descending order.\nAnswer: 5, 3, 2, -0.5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 65. Let w be (-90)\/j*(-1 - 95). Round w to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) 3 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96307035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4120, -8240, -12360, -16480, -20600, -24720?\n\"Answer: -4120*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 209508647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -11. Suppose 5*p + 3*n - 2*n = 30, -2*p + t = 2*n. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - o - 5*o)*(-5 - 3 + 0)*(7 + 15 - 4) to the form r*o + n and give r.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -114 + 23*s**2 + 22\/3*s**3 - 70*s + 1\/2*s**4. Factor y(b).\nAnswer: 2*(b - 1)*(b + 5)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 9 = 8*q. Suppose -2*m + 0*m + q*d = -45, d = 4*m - 75. Calculate the remainder when 34 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147037 * 0.5.\nAnswer: -73518.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17724 - -29556. Is w a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18 + 15280\/(-100))*-10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 12) in base 6?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 43*r - 8. Let f(z) = -25*z**2. Give q(f(w)).\nAnswer: -1075*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -177 + 116. Let z be h\/9 + (-12)\/54. Let s be 7\/(-28)*4\/z. Is s less than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*b = 191, 0 = 4*d - 6*d - 4*b + 424. What are the prime factors of d?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31858022 and 1832?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.677597 millennia to centuries.\nAnswer: 86.77597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 182. Let m be x(-30). Calculate the highest common divisor of m and 1054.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 5. Let p = 1 + t. Let x(l) = -4 + 0 + 4 + l**p. Let r(j) = j**2. Give r(x(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430416456 and 2456?\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-23)\/(-14) + 9\/(-6)). What is the nearest to h in -2, 3\/5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -28, -41, -70, -121?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a + 18*a + 272 = 0. Suppose -19*c - 8 = -a*c. What is the smallest value in -2, 1\/9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffe. What is prob of sequence ef?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 201576.57 months in millennia?\nAnswer: 16.7980475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -237, -965, -2181, -3885, -6077, -8757, -11925?\n\"Answer: -244*h**2 + 4*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5115013 (base 6) to base 16\nAnswer: 3b6f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/(252\/(-96))*2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otks when four letters picked without replacement from kkhkhktsoskskh.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 greater than or equal to -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-3 - -8 - (-26)\/(-6)). Let o = 0.11 - 0.1. Let s = o + -1.01. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/3 + 7 + -9 - 7. Let g(j) = -251*j - 39. What is the thousands digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140405 to the nearest 1000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2382254.\nAnswer: 2, 7, 263, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 30 - 10*d - 5 + 1 + 2 - 4*d + (3 + 1 - 2)*(0*d - 2*d + 0*d) as r*d + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:37 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121486601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 96.6 (b) -5 (c) 0.05 (d) 0 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.33 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (-3 - (6 - 33)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259514 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 12. Let b be m(-3). Let q = -98 - -103. Suppose b*y - q*w - 250 = 0, 45 = y + 4*w - 10. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 95*b**2 + 4*b + 21. Calculate the smallest common multiple of 108 and n(-3).\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 41 = -3*w, 4*r - 1819*w + 7 = -1818*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2296 = -27*a + 35*a. Calculate the remainder when a is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12579459392.18+0.3\nAnswer: 12579459392.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945471 is divided by 4704.\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22170469 or -22170467?\nAnswer: -22170467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 679\/18 + -75\/2. What is the nearest to 1 in -0.1, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 18 - 3 = 0. Let a(p) = p**3 + 2*p**2 - 6*p - 5. Let q be a(-3). Sort y, q, 0 in decreasing order.\nAnswer: q, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (55 - 55) - (10 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74553603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 42. Let n(d) = 0 + 5 - 16*d**2 + 7*d**2 - 5*d + d**2 + d**2. Let o(i) = 3*i**2 + 2*i - 2. Let g(r) = 2*n(r) + 5*o(r). Calculate g(s(x)).\nAnswer: x**4 + 84*x**2 + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((9\/(-9))\/((14\/(-10))\/(8\/(-20))))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10009853 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-6)\/(-5))*290\/(-4). Let n = 56 - d. Is 673*2\/n*(15 + -16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3566 + -3571. Which is the smallest value? (a) -0.5 (b) 3 (c) 0 (d) -0.25 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, o: 2, m: 4}. What is prob of sequence som?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1456*2613.5.\nAnswer: -3805256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -5\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/15 + 591756*c**3\/5 + 393945283706*c**2\/15 - 262631964408*c\/5 + 393948834248\/15 = 0. Calculate c.\nAnswer: -443818, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0*a - 5\/6*a**3 - 1\/24*a**4 - 2*a**2 + 0. Let p be i(-5). Solve 2*q + q = p 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 1\/2, 41159, -1?\nAnswer: 41159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {d: 3, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 5*p - 10. Give r(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -155 (c) -227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 536782668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - 4*s**3)*(-7*s**2 + 36*s**2 + 13*s**2).\nAnswer: -168*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32117 is divided by 3210?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3588 + 3585.711. What is f rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -17*n**3 + 11*n**2 + 1419*n + 11. Let l(y) = -3*y**3 + 2*y**2 + 284*y + 2. Give 2*i(d) - 11*l(d).\nAnswer: -d**3 - 286*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4442 (base 5) to base 6.\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-1 - 0)) + (299 - 297)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -13. Let c be (-3)\/h - 13\/(-3). Suppose u + u + 2*y = 114, c*u - y - 213 = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, w: 1, n: 1, f: 7}. What is prob of picking 2 f and 1 n?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -441, -408, -353, -276?\n\"Answer: 11*v**2 - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.62 less than -2032?\nAnswer: -2028.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:11 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvzzdzdvuvzdd. Give prob of picking 1 u, 1 d, and 2 z.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(5*1\/(-2)). Suppose -5*c = 3*x - 4*x - 835, -v*x = 5*c - 850. Suppose -5*t + c = -2*t. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {e: 2, u: 3, d: 6, c: 1, b: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 373247317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 108946 divided by 61\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2956963011, 2956963010, 2956963009, 2956963008, 2956963007, 2956963006?\n\"Answer: -d + 2956963012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrdvedrrdevdrvverrev. What is prob of picking 1 q, 1 e, and 1 r?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3086 plus 186843?\nAnswer: 186846.3086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1388*p + 280 + 92 = 1400*p. Solve -p*f + 80 = -15*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*p**4*z - h*p**4 - 26*h - 564*p**2 + 249*z wrt p.\nAnswer: 8*h*p**3*z - 4*h*p**3 - 1128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usuuussssuus. What is prob of picking 3 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318712 is divided by 64?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1411 - 21141?\nAnswer: -23102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 3, 91, 5, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/16 - 2\/8. Let h(b) = -b**3 - b**2 - 1. Let u(c) = -24*c**3 + c**2 - 5. Let j(g) = t*h(g) - u(g). Differentiate j(w) wrt w.\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - f = 169, 0 = -4*l + 3*f + 2*f - 163. Let c = l + 167\/4. Calculate the common denominator of ((-6)\/63)\/(4\/(-201)) and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 + 4 + -3. Let y be (2\/3)\/(10\/45). Let r = y + i. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 + 2*a**2 - a - 2. Calculate l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 153*g + 4908. Calculate v(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -28. Let l = 1191 - 1712. Let y = -6769\/13 - l. What is the second biggest value in -2\/5, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/22*56\/(-238)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 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: 95\/(-38)*(-5)\/(25\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33723 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1000 - 5002\/5. Which is the closest to i? (a) -0.3 (b) -0.06 (c) -1\/7 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*o - 1274, 2*o + 5*m - 6*m + 503 = 0. Let y = o + 256. Sort y, 2, -13, 4 in ascending order.\nAnswer: -13, 2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 100485 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**4 - 13 - 10*g**4 + 20*g**4 - 7*g**4 + 4*g**3 to the form m*g + z*g**2 + i*g**3 + v*g**4 + u and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -52. Which is the smallest value? (a) -1 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31235700241773 + 1.\nAnswer: 31235700241774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + 8*z)*(-79*z + 2 + 49*z + 40*z)*(-1 - 2 - 1)*(0*z + 3*z - 2*z).\nAnswer: -320*z**3 - 64*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(1\/2). Suppose -4 = -4*n, -q*n + 20 = w + 2*n. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10499 and -170.\nAnswer: 1784830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = 0, -2*j - 5*p = 70. Let t be j\/14*(-22)\/5. What is the highest common divisor of t and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -18008*l + 18051. What is h(1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-57)\/(-6*4\/16). Suppose 3*d - 76 = -5*s, -2*d + 5*s + j = 2*s. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 2 (b) 3 (c) 0 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d. Let m(s) = -2*s**2 - 6. Calculate a(m(p)).\nAnswer: 26*p**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = -12. Suppose 5*p - u*p + 3 = 4*o, -3*o + 3*p - 9 = 0. Solve 0 = o*g - 3 - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 623 and 15659.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2140 and 5136.\nAnswer: 25680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228*c**4 - 2*c + 30?\nAnswer: -2736*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 100721391 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521091 is divided by 173696.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 > -684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -279, -570, -859, -1146?\n\"Answer: z**2 - 294*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 4863512408*z + z**3 + 4863512408*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -47474717 divided by -5\nAnswer: 47474717\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 4650 = -4*r. Suppose 9*k - r = -220. Solve -5*p + 20 = -k*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by ((-6)\/16)\/((-141)\/3384).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52793*f**2 + 71*f - 54.\nAnswer: -105586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4165.57 greater than or equal to 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 208692453 less than 1043462267\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -970669554?\nAnswer: -970669551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 741, 2\/13, -0.2, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33188 - 10?\nAnswer: 33178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 15 (c) 0.1 (d) -27 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.4. Which is the third biggest value? (a) q (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 = 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -329, 2\/21 in decreasing order.\nAnswer: 0.4, 2\/21, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.3, -649, 0, -4.\nAnswer: -649, -4, -2\/3, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -54, 30, 5.\nAnswer: -54, -16, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -2\/3 (b) 4 (c) 3\/4 (d) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/3 - 182*l**4\/3 + 4036*l**3\/3 + 5336*l**2\/3 - 8464*l = 0?\nAnswer: -3, 0, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((68\/(-114))\/17)\/((-60)\/(-900))?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -9*i - 1\/2*i**2 - 36. Give f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 736963598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222 + 121?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124759234 to the nearest integer?\nAnswer: 11170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/85, -2\/1043, -37, 5, -1, 3?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - j**3 - 2*j**3)*(0*j + 0*j + 2*j) + (71*j**3 + 137*j**3 - 3*j**3)*(0 + 0 + j).\nAnswer: 207*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2623, -2719, -2933, -3325, -3955, -4883?\n\"Answer: -10*x**3 + x**2 - 29*x - 2585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, b: 4, r: 2, q: 4}. What is prob of picking 3 q?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (7 - -16) + 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 34*r + 24. Calculate m(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72, -390, -1248, -2916, -5664?\n\"Answer: -45*c**3 - 3*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/(-19)*((-2349)\/(-6))\/29*2\/(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 8, x: 2, v: 7, n: 3}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15680031 and 345921?\nAnswer: 5163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**6\/120 - 497*y**5\/40 + 27473*y**4\/4 - 18296687*y**3\/12 + 36264691*y**2\/8 + 145*y. Suppose q(p) = 0. Calculate p.\nAnswer: 1, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17004843 less than 17004843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43848.4049 - 43843. Let k = h + -5.36. Round k to three dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d\/d**(2\/3)*d*d)*d*d**34*d*(d**(28\/5)*d)\/d*d\/(d*d\/(d*d**1)) assuming d is positive.\nAnswer: d**(619\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 3. Let f be o(-2). Let l be 4\/22 - (2366916\/(-352) - f). Let n = l - 6711. Find the common denominator of -85\/2 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147 - (-1812)\/12)\/(1*330).\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Suppose 3*s + 45 = 5*g + 2*s, 0 = -2*g + 2*s + 26. Let n(k) = -2*k**2 + 4*k**2 - g*k**2. Determine n(a(p)).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 5*c + 4*c + 0*c - c - c + (1 + c - 1)*(6 - 1 - 4))*(-c + 0*c + 2*c) - 2*c**2 + 3*c**2 + c**2 as r*c**2 + m*c + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001208 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z + 49. Let r be i(5). Calculate the highest common divisor of r and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*f + 5*f - 86 = 0, -8 = -4*f. Let a = w + -25. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(86\/(-44) - -2). Let g(p) be the third derivative of 0 - 1\/24*p**4 - 11\/6*p**3 + 0*p + p**2. Let m(c) = -1. What is b*m(r) - 2*g(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - (sqrt(19) + (sqrt(19) - (-3 + (sqrt(19) - (sqrt(19) + 0)))) + sqrt(19))) + sqrt(684) + -2 + 1)*2)**2.\nAnswer: -128*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17953 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76140 by -1269.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 7:04 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4*u - 19 = 16*u - 9*u, -5*r - 58 = 11*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.78 - -8.78000409. Round m to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734007.\nAnswer: 11, 157637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/492*(-2)\/4.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85295457*q + 207817712 wrt q?\nAnswer: -85295457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -401*n - 1606. Give q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169*c - 4240 = 4248 + 12554 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 35. Determine c(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19524.02l?\nAnswer: 19524020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -16*x + 12*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 5*k - 4. Let d be v(-3). Let q be -963 - (18\/d)\/3. Let h be (-18)\/(-99) + q\/(-11). What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*l**2 + 272*l**2 + 65*l**2 + 246*l**2 + 230*l**2.\nAnswer: 593*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1218, -1219, -1222, -1227?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 6 + 54\/1. Suppose 4*r + 2*z = 4*z + 64, -x = -2*r - 5*z. Let s = r + -1. Calculate the remainder when 49 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3239868 is divided by 530.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 66110352?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 7229*y + 115920.\nAnswer: -(y - 7245)*(y + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 5, r: 5}. Give prob of picking 1 r and 1 f.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 3 = 3. Let i = 13 - g. What is the remainder when i is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/4 + (3 - (-132)\/16). Is n smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87751903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -h + 18 + 3, 0 = 3*f + 9. Suppose 4*b + b - h = 0. Suppose 0 = -b*o + 28 + 17. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = a + 5, a = -2*o - 4*a + 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w + 82. Let v be y(-18). Suppose -v*n = -5*n - 265. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 45\/12)\/(1\/620). Calculate the common denominator of ((-2)\/(-48))\/((-9)\/(-516)) and (35\/(-25) + 1)*b\/72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000829141 rounded to seven decimal places?\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 6 = -55*c. Let g(i) = -i**3 - 3*i**2 - 2. Calculate g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - 2) + (1 - -4) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(13*s + 9*s + 30*s)*(0*s - 3*s + 5*s) to the form t*s + m*s**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x. Let w be (1 + x)\/(-1 - 0). Let k(m) = -69 - 109 + 9*m + 179. Calculate k(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 23*x**3 - 2*x**2 - 4*x + 4. Let g(s) = -24*s**3 + 3*s**2 + 5*s - 5. Let i(n) = 3*g(n) + 4*l(n). Let a be i(1). Solve a = 5*y + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-8*455\/104.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:20 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-18)*u**(5\/4)*u)**(-26) assuming u is positive.\nAnswer: u**(767\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901189 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/15555603 and 15\/83464.\nAnswer: 124444824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**3 - 3*t**2 - 4*t + 2. What is the remainder when h(3) is divided by -4*2\/(-12) - 1001\/(-33)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219199 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -384.000715 + 384. Round q to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f - 3. Let g(s) be the first derivative of s**5\/40 + s**4\/24 - 2*s**3\/3 - 1. Let q(d) be the third derivative of g(d). Calculate q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - r + 22, 2*r - 4*r = 3*i + 22. Let h(f) = -f**3 - 5*f**2 + 3*f + 3. Let w be h(i). Suppose -19*c + w*c = 590. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30366240 and 1.4?\nAnswer: 30366241.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11000 + -1222201211?\nAnswer: -1222212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1530440 and 73\/1080.\nAnswer: 41321880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434623573?\nAnswer: 67, 6486919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Suppose -f = y - 18. Suppose f = 5*l - 24. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/(7\/(-28)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268439991 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -20 in increasing order.\nAnswer: -20, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12622, -25139, -37658, -50179, -62702?\nAnswer: -75227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 5*n - 40, -3*n - r - 8 = 4*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 36. Let d = -19 - p. What is the second derivative of d*z**4 - 6*z + 17*z - 4*z**4 - 7*z wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 7*n - 16*n - 7*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r + 170 = 258 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**3\/3 - i**2 + 21*i. Determine h(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 0*d**2 - 31*d - d**2 - 6*d**2 + 8*d**3 + 13 - 7*d**3. Let l be n(10). Suppose -7*a + 200 = l*a. Calculate the remainder when 98 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -51. Suppose -2*s - 2*r + p = 0, -4*s - 26 = -5*s + r. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - -22. Suppose 5*s + 118 - o = 3*h, 46 = 2*h + s. Calculate the remainder when h is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-16)*b*(b*b**(-3))\/b)\/(b**12)**(1\/9))**(2\/13) assuming b is positive.\nAnswer: b**(82\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (110\/4)\/(1\/(-32)). Let i = m + 9640\/11. Calculate the common denominator of i and (-8)\/22*(-8)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 7*j - 9. Let r(d) = 9*d - 3. Let k be r(j). Suppose -4*s - 154 = -k*s. Calculate the remainder when s is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 11*j**2 + 3*j + 7. Let g be (1\/4)\/(16\/704). Let b be d(g). Let p(u) = 4*u - 3. Let m be p(2). What is the greatest common factor of b and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3773356 (base 8) to base 3.\nAnswer: -1222011012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101, -306, -645, -1118, -1725, -2466?\n\"Answer: -67*v**2 - 4*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -128.7. Let n = 0.3 + i. Let c = -8.3 + n. Put 3, 0.2, c in decreasing order.\nAnswer: 3, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4501*r - 248 + 9927 = -8346 + 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 27283 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i - 504 = 0. What is the highest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.7 - 7.04. Let c = 1.06 + t. What is c rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -306.1 + 306.7. Let i = 0.04 - 0.44. What is the closest to 0.3 in i, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 1. Let c be a(-1). Suppose -3*m = -c*m - 57. Suppose 0 = -n - 7 + m. Calculate the greatest common divisor of n and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 9:30 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/265, 1\/5, 0.4, 1.85?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 6:15 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**3\/6 - 2*g. Let i(w) = -6*w + 8*w - 7*w. Give -2*i(u) + 11*q(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w + 7. Let g be f(-2). Let t(a) = -2*a**3 - 2*a**2 + 2*a + 5. Let x(l) = l**2 - l - 1. Give g*t(u) + 2*x(u).\nAnswer: -2*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -4)*(0 - -8). Suppose 4 = 4*d - s. Let a be (-1)\/(-8) + (-429)\/(-88). Solve d*c - a = 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -0.618?\nAnswer: -0.03708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 3\/2, -1\/260, 0.3, 6 in descending order.\nAnswer: 6, 3\/2, 0.3, -1\/260, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 800522113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 468330 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and -4.7.\nAnswer: -75.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19) + -1 - (sqrt(171) - (1*sqrt(171) - sqrt(171) - sqrt(171)))\/sqrt(9).\nAnswer: -6 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 9850840.\nAnswer: 9850840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + t = 18*z - 11, -2*z - 5*t - 21 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 21. Let n be g(8). Solve -5*f = n*z - 6, -2*f - 4 = 6*z - 8*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/60 + 7*o**4\/8 + 16*o**2. Find the second derivative of j(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-72)\/40 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-330)\/198*2\/5. Put 33, -5, g in increasing order.\nAnswer: -5, g, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -91*k**2 - 17*k - 24. Let l be h(-5). Does 9 divide l*(-5)\/2*1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + z**2. Suppose 0 = 223*d - 122*d - 101. Let q(k) = -4*k**3 - k**2 - k - 2. Determine d*a(x) - q(x).\nAnswer: 3*x**3 + 2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.2025 to one dp.\nAnswer: 28.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 3*m - 3. Let d(q) = -3*q**2 - 4*q - 4. Let x(a) = 3*d(a) - 4*v(a). Let h(f) = 0*f**2 + 0*f**2 + 11*f**2. What is h(x(z))?\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5805830 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3415 greater than -3372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(0*b + 9*b + 4*b)*(-b**3 + b**3 + 2*b**3).\nAnswer: -26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/35 + 4)\/((-494)\/(-91))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/5 + 3*l**3\/5 - 7*l**2\/5 - 3*l + 18\/5.\nAnswer: (l - 2)*(l - 1)*(l + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 505 - 503.367. Let i = h + -1.56. Let y = i - -0.027. Put y, 4, -0.2 in ascending order.\nAnswer: -0.2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 368 = -152. Let d = a - -184. Is 36 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45075 is divided by 644?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -5795?\nAnswer: 4\/5795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(6\/5)\/v*v**(-1\/2))**(2\/73)\/(v\/(v\/(((v*v*v*v**5\/v*v*v)\/v)\/v))*v**4*(v**(1\/2))**(-1\/3)) assuming v is positive.\nAnswer: v**(-23743\/2190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:39 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4, -2*n = -2*d - 2*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 267 - 41. Calculate the greatest common factor of 826 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide (-12)\/(-200)*10*52270\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338865330, 677730660, 1016595990, 1355461320, 1694326650, 2033191980?\nAnswer: 2372057310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*r + 30*r - 5*r.\nAnswer: 67*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1011, 2022, 3033, 4044, 5055?\nAnswer: 6066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*m + 553*m + 4 = 4*u, -4*m - 1 = -5*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2906 + 2911. Which is greater: n or 51\/10?\nAnswer: 51\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**6\/120 - s**5\/30 + s**4\/8 - 4*s**3\/3 - 11*s**2. Let b be g(5). Let p = b + -79. Solve -p*r + 0*a = 2*a, r + 2*a = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 18*g = 857500005. Suppose -2*h = 3*h + c + g, -5*h + 5*c = 171499995. What is h rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 122, 121, 120, 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**2 + 0 - 15\/4*r**4 + 6*r - 3\/4*r**5 - 9\/2*r**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2537066, 5074120, 7611174, 10148228, 12685282, 15222336?\nAnswer: 17759390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2672463435.\nAnswer: 3, 5, 41, 4345469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*k + 170 = 468*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522785254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4 - 9*p**3 + 11*p**2 + 9*p - 10 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 17*w + 22. Let j be s(-18). Suppose -2*u + 3 = m - 3, -2*u - 4 = -j*m. Solve 0 = 3*t - 5*o - 9, -m*t = -3*o + 8*o - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -3.7. Which is the second smallest value? (a) 0.5 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 3 + (3 + 0 - 1)*(4 - 1 - 2) + 0 + 1 + 0)*(i**5 - 5*i**5 + i**5).\nAnswer: -30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (10 + -6)) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + 0*q)*(-13*q**2 - 11*q + 11*q).\nAnswer: -26*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5001*u + 3109*u + 1452*u - 1456*u.\nAnswer: 8106*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 8, b: 2, k: 1, r: 2}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-38))\/(((-3)\/(-10))\/((-36)\/(-30)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 0, -j - 3*x = -2*x - 4. Suppose -j*k = 4*k - 2*k. Suppose -5*b - 25 = -35. Solve -n + k*z + 6 = -2*z, -2*n = b*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1848807605 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8\/3, -3\/629 in ascending order.\nAnswer: -4, -8\/3, -3\/629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3518 - 3515. Let p(r) = r**3 + 3*r**2 - 4*r - 4. Calculate the remainder when p(-3) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1329.\nAnswer: 2\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00118 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 4. Suppose -z = -b + 1. Let r = 318 + -316. Solve -p = r*p + b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3849 - 25175909?\nAnswer: -25175915.3849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i + 30. Suppose 0 = -i*r - 104 + 194. Solve r*c - 7*c = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**5 + 33*a**2 - 48 + 69*a**2 + 4*a**6 + 48 wrt a?\nAnswer: 480*a**3 - 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 9:30 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10349013?\nAnswer: 3, 59, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-9*(-20)\/(-360))\/(1\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, t: 3, n: 4}. What is prob of sequence ont?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6530344 is divided by 25311.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y - 5*j - 20, 3*y - 13 = 2*j. Solve 4*p + 2*a = -3*a + 12, y*p - 2*a = -14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.48 + -0.02. Let y = 0.4 + p. Which is the closest to -2\/3? (a) y (b) 1\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 285773*l. Let u(h) = 8*h**2. Calculate j(u(z)).\nAnswer: 2286184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 3324192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 7, 1, -31, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-30)\/50) - 2\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811070.37ns to hours.\nAnswer: 0.000000225297325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/3 - 244*q\/3 - 832.\nAnswer: -4*(q + 13)*(q + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 + 1.37596228636?\nAnswer: 1.45096228636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194946099 divided by 3420107.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 - (-6)\/(3\/3) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 3*h - 2*h + 9. Let q(j) = -2*j + 0*j - 688854 + 688848. Suppose 3*n = 6*n - 4*r + 1, 0 = -3*n + 5*r - 5. Calculate n*o(t) + 8*q(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -295848 divided by -8218?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.21 + -0.21. Let x = k + -11. Which is the third smallest value? (a) 2\/5 (b) -2\/11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -7 - 5\/3*o**3 + 2*o - o**2 + 1\/4*o**4. Calculate g(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1049 - -1599. Suppose 12*q - 4*q - t = 0. Let i = q + -173. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, h: 1, t: 3}. What is prob of picking 2 t and 1 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/85?\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6041*s**2 + s + 8. Let d(w) = -6039*w**2 - w - 6. What is -3*d(n) - 2*t(n)?\nAnswer: 6035*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9154 is divided by 445?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1799 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.35 + -267.65. Put 0.5, 1, -5, h in ascending order.\nAnswer: h, -5, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/245 and -51\/608384.\nAnswer: 3041920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + -41 + -53 - (-74 - -4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1338, -7, -84, 1, -9 in increasing order.\nAnswer: -84, -9, -7, 1, 1338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-1) - (-450)\/(-50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 4*i - 4. Let w be t(-6). Let z = 12 - w. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000148800903 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -5, -0.5, 0.4, -4\/29, -483\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-70) + 18456\/10. Calculate the common denominator of 99\/4 and ((-2)\/3)\/(l\/594 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7852 and 189020?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 6) + 2822\/255 + 3 - 3?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.6 - 8. What is the third smallest value in i, -4, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52 and 37319.177?\nAnswer: 37371.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/28*0*(-1)\/2. Solve 0 + 2\/3*i**4 - 2\/3*i**2 + 1\/3*i**3 + r*i - 1\/3*i**5 = 0 for i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -71*u - 49. Let l be f(-6). Let j = 671 - l. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -84526, -3, 7.\nAnswer: -84526, -27, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1786b (base 12) to base 8.\nAnswer: 102423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3097, -12227, -27435, -48715, -76061, -109467?\nAnswer: -148927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1350604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2. Suppose l*k - 12 = 2. Let w be (-4)\/22 + 2085\/33. What is the greatest common factor of w and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 - 4*y + 2. Determine s(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 568*o**2 + 3977*o + 5. Give q(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poekvevketvkkeeepkeo. Give prob of picking 2 k and 1 v.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51738833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y + 2*y)*(-810 - 975 - 1307 + 268).\nAnswer: -5648*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (1057\/(-63) - -27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.91011 millennia in centuries?\nAnswer: 819.1011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0 - 16. Suppose 3 = -7*z + i*z. Suppose -z*y + 382 = 4. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 1812047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 548\/5 - 110. Which is the closest to -0.1? (a) x (b) -0.5 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 0*z)*(-3 + 0 + 4) + (-25*z - 3903 + 3903)*(16 - 12 + 18).\nAnswer: -551*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 20, 2, 3.5, 2247, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5441\/645 - -4244887\/98040. Let h = -850\/19 + f. Let g = 2155\/6 + -1123\/3. Find the common denominator of g and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -130, -266, -404, -544, -686, -830, -976?\n\"Answer: -l**2 - 133*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.9 + 44.9. Let o = -55.04 + j. Let w = -21 + o. What is w rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(228)*1*4)\/(sqrt(588) + sqrt(588) + sqrt(588) + -1*(sqrt(588)*2 - sqrt(588))).\nAnswer: -8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -6*b + 3*b. Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -13*v**2 - 151*v - 69. Let w be c(-11). Suppose -2*f - 5 = -51. Find the second derivative of -q - w - q**5 - 16507*q**3 - f*q**2 + 16507*q**3 wrt q.\nAnswer: -20*q**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 626 or 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3034419039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 33*t**2 - 5*t + 5. Let m(o) = 100*o**2 - 10*o + 12. Let n(f) = 601*f**2 - 58*f + 71. Let x(b) = -13*m(b) + 2*n(b). Give 14*s(g) + 5*x(g).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66888.1ml to litres.\nAnswer: 66.8881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 4*i - 12*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135534 + 8674171\/64. Let j = 0.01 + -0.01. Which is the closest to j? (a) 0 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 - 3*t + 1. Determine g(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621216 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, -136\/3, 0.01, 0.2, 2\/7 in descending order.\nAnswer: 152, 2\/7, 0.2, 0.01, -136\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(144)\/sqrt(288))\/((-3*sqrt(66)*-5 - sqrt(66))\/sqrt(11)))**2.\nAnswer: -sqrt(3)\/42 + 2353\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-231)\/22*(-8)\/6. Suppose -2*k + p = -1123, 17*p + 2249 = 4*k + g*p. Is 28 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 781, 31, 150 in descending order.\nAnswer: 781, 150, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109913001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkk when three letters picked without replacement from {b: 5, k: 3, n: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2447, -9441, -21105, -37445, -58467, -84177?\n\"Answer: -m**3 - 2329*m**2 - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15693\/3727 < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(3 + 2))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 3*a + 4*a - a**2 - 6952*a**3 + a + 0 + 6958*a**3 to the form k*a + c*a**3 + b + z*a**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 3*m + 1)*((0 - 1 + 0)*(-2*m**2 - m**2 + 0*m**2) + 2*m**2 - 2*m**2 + 2*m**2 - 3*m**2 - m**2 + 5*m**2 + 2 - 2*m**2 - 2 - 4*m**2 + 3*m**2 - m**2).\nAnswer: 6*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 8. What is the common denominator of (-11)\/(-4)*(f - 20) and -109\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3494 = 2270*y + 804*y + 1525*y + 79288 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**8\/224 - b**7\/140 + b**2. Determine s so that h(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(sqrt(60)\/sqrt(6)))\/(sqrt(80)\/sqrt(4)) - (-1*sqrt(132)\/sqrt(4))\/(sqrt(75)*5).\nAnswer: 27*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 48 (b) 11.7 (c) 18 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -3 - -3) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**5\/20 - d**4\/12 + d**2\/2 - 2*d. Let u = -40 - -42. Let i be b(u). Solve -a = -i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 7*b - 2*b + 10, -2*b = 3*u - 64. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + -5 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15700 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Suppose 0 = l + 2*p + 8, 2*l + 11 = -5*p - 8. Let q be (l\/6)\/(a\/(-27)). Solve -3*g = 2*x - q, -1 = -4*g - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004524 rounded to six dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/120 + y**5\/10 - y**4\/12 - y**3 + 6*y**2. Calculate the remainder when 22 is divided by x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -14. Let j = -10 + u. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 534 + -467. What is the remainder when f is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403942767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -9. Suppose 0 = -g + 4*i - 73 + 3, -3*g - 210 = x*i. Let r be 4\/(-6) - g\/6. Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-10\/7)\/(q*q**13))\/(q**(-6)*(((q\/q**(1\/11))\/q)\/q)\/q*q))**(-43) assuming q is positive.\nAnswer: q**(27606\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -78902947 - 0.3\nAnswer: -78902947.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o + 9 - 7 - 2.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 214326 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -3*s**5 + 29*s**3\/3 + 17. What is the third derivative of r(f) wrt f?\nAnswer: -360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64240.33742 - -64241. Round s to 3 dps.\nAnswer: 0.663","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 21 = 218 - 97 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 11*t**2 - 10*t + 7. Let i be n(-11). Calculate the highest common divisor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1273354284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**3 - 4*u**3 - 15*u**3.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1915026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from nnfqnqcncncqqncqvnnn?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5 + 195*q**4 - 1595*q**3 + 4305*q**2 - 2900*q = 0. Calculate q.\nAnswer: 0, 1, 4, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {v: 3, y: 1, e: 1, j: 1, h: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 3*w**2 + 8*w - 4. What is b(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - 30\/(-3 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 equal to 231\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, q: 6, s: 5}. Give prob of sequence qs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:16 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}